diff --git "a/data/dm_maths/full_data/182_11255.jsonl" "b/data/dm_maths/full_data/182_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/182_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the nearest to -0.1443? (a) 6 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 - 8*y + 10. Let b be a(7). Suppose -8 = -b*n - n. Solve w + 3*o = -2*o - 10, 0 = -n*w - 4*o - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 2 + s)*(10*s**2 - 10*s**2 + 4*s**3).\nAnswer: 8*s**4 - 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -3, 2, -513, -495 in descending order.\nAnswer: 40, 2, -3, -495, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -98289?\nAnswer: -98295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:45 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - y + 16 = 0, -z - 5 = 4*z - 5*y. Suppose 0 = z*h - 6*h + 21. What is the least common multiple of 5 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*n - 13*n = 599177. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-72)*(-2)\/(-3). Let a(o) be the second derivative of 1\/18*o**3 + 0*o**2 + t*o**4 - o + 0. Factor a(p).\nAnswer: p*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*s**3*y**2 + 1668*s**3*y + 608283*y**2 with respect to s.\nAnswer: 117*s**2*y**2 + 5004*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {w: 3, q: 1, h: 3, l: 2, a: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-24))\/((-4)\/(-6)). Let v(h) = 10*h**2 + 2*h + 1. What is the units digit of v(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -o + 17. Suppose -204 + 33 = -9*l. Suppose -l = -3*x + o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-17)*(u\/(u*u*u**(-5)*u))\/u assuming u is positive.\nAnswer: u**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143\/84 + -15\/28. Find the common denominator of 15\/2327 and v.\nAnswer: 13962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 2867, 7594, 14197, 22670, 33007?\n\"Answer: -f**3 + 947*f**2 + 11*f - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17158212 divided by -6\nAnswer: 2859702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42.1471l?\nAnswer: 42147.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11237\/478 - 2\/239. Let n = -197774\/19 + 10413. Let u = n - 1873\/171. Calculate the common denominator of r and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -2 - -2 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -443982?\nAnswer: -443974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 20, 22, 24?\n\"Answer: 2*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 10\/11, -0.3, 0.009597?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -9, -4*x = -q - 0*q - 3. Sort -1, 15, x, 1 in increasing order.\nAnswer: -1, x, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let o(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 9*p**2\/2 + 2*p + 37. Let t(v) = -4*i(v) - o(v). What is t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2960 and (-4 + (-657)\/(-165))*(1 - 94\/(-4)).\nAnswer: 32560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5994 - -5998. Let l = -0.06 + -2.94. What is the fourth biggest value in l, j, 3, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -465*i. Let c(u) = 15*u + 6. What is k(c(v))?\nAnswer: -6975*v - 2790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-9))\/(895\/(-537)))\/(11\/(-2))*1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, h: 5, l: 1}. What is prob of sequence hkl?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from fdrrfzqfddrrfr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(33\/2)*x**5\/x*x**3)**20 assuming x is positive.\nAnswer: x**470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -16, -5, 24, -3, 18 in decreasing order.\nAnswer: 24, 18, -1, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**4\/6 + 291*g. Let k = 47 - 24. Let i(p) = -k*p - 16*p - 11*p. Determine q(i(n)).\nAnswer: -5000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 20 = q. Let u(g) = -g**3 - 11*g**2 + 16*g + 56. Calculate the smallest common multiple of q\/(-6) - 28\/(-3) and u(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 3*v - 3*v + (1 - 1 + v)*(-3641 + 1982 + 2273).\nAnswer: 612*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**3 - 2*l**2 - 4*l - 75. Let q(n) = n**3 - n**2 - 2*n + 1. Calculate g(z) - 2*q(z).\nAnswer: -11*z**3 - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 9:44 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -214, -214, -212, -208, -202, -194?\n\"Answer: g**2 - 3*g - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h**2 - 112*h**2 + 54*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 14994?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*n + 3*z = -906, 2*z = 5*n - 1522. Let t = n + -264. What is the remainder when 123 is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjrrettjeeeejjjretr. Give prob of sequence jj.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -17. Let f = z + 8. Let t = -12.7 - -13. Which is the closest to -1? (a) 1\/3 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1782*a**2 - 62*a + 1778*a**2 - 92 + 61*a as c + p*a**2 + l*a and give c.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*h**2*q**2 + 2015*h**2*q + 98022*q**2 + 318*q wrt q.\nAnswer: -48*h**2 + 196044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 4. Suppose -61 = -5*t + 14. Suppose 3*m - t = -6. Solve a - 4 = 2*y + g, 3*a = -m*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + 0*d - 13115*d**2 - 4*d**3 + 13124*d**2 + 3*d + 4 in the form i*d**3 + u + v*d + k*d**4 + x*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 17, 1, -3, -95, -4 in descending order.\nAnswer: 17, 1, 0, -3, -4, -6, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18970227 - -18970187.382467. Let t = j - -0.622433. Let n = 39 + t. Round n to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217549 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - -0.1. Suppose -3*q + 5*y = 14, -11 = -q + 6*q + 4*y. Sort r, q, 2\/3, -2\/5 in ascending order.\nAnswer: q, r, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3021994 is divided by 1001.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133437 divided by -1.\nAnswer: 133437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.212 times -50.788\nAnswer: -10.767056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 64 (c) 13 (d) 5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -761, -786, -795, -782, -741, -666, -551, -390?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k**2 + 305*k + 120 = 0 for k.\nAnswer: -3\/8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*c + 6*c + c - 36*c - 1811*c**3 + 3*c**2 wrt c?\nAnswer: -10866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3\/3 - 3*w**2\/2 + w + 6. Let v(h) = -h. Give s(u) - 5*v(u).\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d*d**(2\/9)*(d*d**(-1\/4)*d*d)**(-5)*(((d\/((d*d*d**(-1\/3)*d*d)\/d))\/d)\/(d\/(d*d\/d**(-3)*d)*d*d))**(2\/5) assuming d is positive.\nAnswer: d**(-1511\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 17410*q - 836192\/3.\nAnswer: 2*(q - 26131)*(q + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 2 + 2*q - 2*q. Let k be r(5). Suppose 8 = 5*a - k*a. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xieaziiararixaa. Give prob of picking 1 z, 1 a, and 1 x.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:57 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -10, 63, 230, 521, 966, 1595?\n\"Answer: 5*t**3 + 2*t**2 - 32*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 262000729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 144 = 18*d. Calculate the remainder when 23*12\/d*3\/2 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-14) - 1) + (-85)\/(-35). Solve 5*w - 37 = 3*u - 0*u, c*u = -5*w + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 - (7 - (3 - -6)) is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3487 divided by -317\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 - -2.7. Put 1, -2, k in descending order.\nAnswer: 1, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 6835*d**2 - 7924*d - 12803. Differentiate r(j) with respect to j.\nAnswer: 13670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 + -200. Suppose 2*c = o + 5. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*o + 750 = -862 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(76)*-3)\/((3*sqrt(1728))\/sqrt(12)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9001, -1, -33, 10, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 10*o + 42. Let u be -4 + (5\/o)\/(30\/(-108)). Solve -b - 5 + u = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821175254.\nAnswer: 2, 3, 101176403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 + 12 = 0. Suppose -f + 21 = s, 52 = -0*f + h*f + 4*s. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -1 - 22420\/(-1180).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12 = -16. Let p be 1 + -3 + (-2 - 0). Sort 0, s, p in decreasing order.\nAnswer: s, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*o - 21. Suppose o*l - 7 = 5. What is the highest common divisor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135\/25 + 1 + (-6)\/15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -776c4 - -b0?\nAnswer: -77614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 430283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -275275765 divided by 171085?\nAnswer: -1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106490 = -1182*k - 294*k - 839*k for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2\/7 (c) 1 (d) 1750 (e) 2\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*2\/30*6. Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = d. Suppose -4*l + 2*l + 10 = 0, l = -d*g + 65. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250999 is divided by 197.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -405*g - 2 - 11 - 2*g**3 + 407*g + 38*g**2 wrt g?\nAnswer: -12*g + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 15*u + 52. Calculate the greatest common divisor of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026 divided by -5.\nAnswer: -1026\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14625891 is divided by 588.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -216 + 120.62575691\nAnswer: -95.37424309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 11. Let n be ((-8)\/84)\/(s\/(-21)). What is the biggest value in -5, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110110100010001110 (base 2) to base 7.\nAnswer: 40431312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 710078578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 6*k = 64288. What are the prime factors of k?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 66, -5, 13, -4 in decreasing order.\nAnswer: 66, 48, 13, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -43, -38, -31?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1099*i + 50556. What is r(46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*y**3 + 0 + 100*y**3 - 1 - 2*y + 2*y + 2*y**3 + (-4*y - y + 4*y)*(-2 + 2 - 2*y**2) as c + n*y**3 + w*y**2 + m*y and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqwffq. Give prob of sequence fwq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44419?\nAnswer: 43, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022102 (base 3) to base 9.\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/14 - -9\/35. Let b = -29171\/4 + 7296. What is the common denominator of g and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 - -5200?\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 6, 4 in ascending order.\nAnswer: -42, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114604988 and 1692.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h - 23*h = -3444 + 987 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 + 2*x**3)*(-421 + 2728 + 338)*(3 - 2 + 3)*(0 - 1 - 1)*(4 - 1 - 5).\nAnswer: 84640*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 9. Let u(o) = 3*o - 30. Calculate the least common multiple of u(12) and q(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 4, c: 1}. Give prob of picking 1 r and 2 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7364\/3785 - 462632233\/83270. Let u = i - -5557. Find the common denominator of u and 445\/(-110) + 5 - -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/6 + x**3 + 25*x**2\/6 + 3*x = 0. What is x?\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5) + -1)**2 + 3.\nAnswer: -2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 77. Suppose i*k = 49*k + 66. Which is bigger: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7129.6299 minutes in days?\nAnswer: 4.951131875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from nccnnnnqnncnnnnnnnnn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/3 + 26\/(-143)*-22. Let b(n) be the first derivative of 1\/9*n**6 + f*n - 5 + 0*n**5 + 0*n**4 + 0*n**3 + 0*n**2. Determine z, given that b(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1122)\/143 + 2\/(-13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126973685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1106 + -1104. What is the fourth biggest value in -8, -0.5, -2, z?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2777 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32223 - 104114?\nAnswer: -141342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.88499 to three dps.\nAnswer: 1.885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**3 - 6*k**2 - 63*k + 5. Let t(y) = -y**3 + 2*y**2 + 31*y - 2. Give -4*r(b) - 9*t(b).\nAnswer: -3*b**3 + 6*b**2 - 27*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8678306.732 rounded to the nearest one hundred?\nAnswer: -8678300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742186 and 574526.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8515*u**2. Let o(f) = 198*f**2. Determine -3*h(i) - 130*o(i).\nAnswer: -195*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7 - p - 8 + 16. Let x be d(1). Sort 2\/15, x, -5\/2 in ascending order.\nAnswer: -5\/2, x, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 199?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 192042779 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3302607 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/786 and 8\/37186315.\nAnswer: 223117890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*y = 36, -5*p + 91*y - 93*y = 22. Let o(s) = 1 - 6 + 3. Let g(a) = a - 1. What is p*g(d) + o(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11ca39 (base 13) to base 15.\nAnswer: -86c06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 4*v + 4*v)*(222*v - 98*v + 4*v + 740*v + 4).\nAnswer: -868*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/11))**(-15)\/(w\/((w*w*w**(6\/11)*w*w)\/w)*w\/(w\/w**(-2\/35))))**(-28) assuming w is positive.\nAnswer: w**(16992\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a - 4. Let s be t(3). Suppose 5*o = 4*v + 15, -v - s = o + 4*o. Let w be (-6 + -3)\/(-3) - v. What is the highest common divisor of 143 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 26*d + 695. What is the remainder when 216 is divided by j(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 169?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2.4187?\nAnswer: 1.20935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/42)\/(10\/(-1204770)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3722, 7442, 11162, 14882, 18602?\n\"Answer: 3720*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 - 11*h**4 - 7*h**3 + 11*h**2 + 4*h = 0. What is h?\nAnswer: -1, -1\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 70*c - 573. Is w(64) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11*n. Let p = 66 - 60. Let v(o) = 4*o**2 + 11*o**2 - p*o**2 - o**2. What is v(q(r))?\nAnswer: 968*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1.14, 0.98 in ascending order.\nAnswer: -2\/3, 0.98, 1.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-2\/15)*b*b))**(15\/4)*b**(-2\/5)\/b**6 assuming b is positive.\nAnswer: b**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*r - 83*r - 13 + 2 + 12 - 21*r**2 - 50*r**2 to l + i*r + b*r**2 and give b.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 11*v - 133 + 44. Suppose 4*j = -841 - 619. Let x = 5473\/15 + j. Which is the second smallest value? (a) x (b) -4 (c) v (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 14*u**2 - 3*u + 7. Give r(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)*(0 - 1). Let n = -1.24 + 1.3. Which is the biggest value? (a) f (b) -1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5911956, 5911957, 5911958, 5911959?\n\"Answer: m + 5911955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12478 = 156*l + 9046 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:57 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -56766.92477 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -39. Put 1, 3, 2, p in ascending order.\nAnswer: p, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -413*p - 12. Let b(l) = 3*l - 8. What is q(b(k))?\nAnswer: -1239*k + 3292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 2. Let y be x(-6). Let m = y - -6. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -242, -1915, -6454, -15293, -29866, -51607?\n\"Answer: -239*g**3 + g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/12)\/(-5)*15\/10. Let o(m) = 16 - 1 + 2*m - 11 - 11. Let v(c) be the third derivative of -c**3\/6 - c**2. Determine k*o(f) + 4*v(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 1596553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9.9. Let m = n - 1. Is m less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(3) + -5 + 3 - (sqrt(192)\/sqrt(2))\/sqrt(8))**2.\nAnswer: 32*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390598847 to the power of 1\/3, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2036*w + 2*w**3 + 0*w**3 - 1912*w - w**3.\nAnswer: w**3 + 124*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*b*p**2 - 625*b*p + 2884*p**2 wrt b?\nAnswer: 7*p**2 - 625*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/(sqrt(3) - sqrt(3)*3) - (sqrt(17) - (sqrt(34) - sqrt(544))\/sqrt(2))) + sqrt(153)\/(sqrt(18)\/sqrt(2)) + (sqrt(17) - sqrt(833)*-2))*-3.\nAnswer: -69*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 468201.\nAnswer: 936402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3308*o**2 - 5*o - 174.\nAnswer: -6616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1192 divided by -298\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 490 = 4*c + 499, -c = -4*d + 242. What is the common denominator of 14\/21*c\/8 and 30\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438 divided by 146\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:01 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.5 + 237.5. Let b = h + -194.09. What is the closest to -0.1 in 0.07, 3\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 0. Let u = 15166 + -15165.7. Let t = -49 + 193\/4. Which is the smallest value? (a) u (b) g (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 95952.08ng?\nAnswer: 0.09595208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0383611393 to 5 decimal places.\nAnswer: 0.03836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -597\/10 + 301\/5. Let y = -2 - -3. Let v = y + -0.8. What is the nearest to -1\/5 in v, j, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14451 is divided by 1556.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -168, -670, -1514, -2706, -4252?\n\"Answer: -v**3 - 165*v**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2201112000102 (base 3) to base 10\nAnswer: -1447076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-450)\/375)\/(3\/(-20)). Solve 4*u + 3*z + 3 = 1, u - d = -5*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4591 or -1464310\/319?\nAnswer: -4591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/((-12)\/48). Solve -v*n + 0*s - s = -1, -5*s = -4*n - 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, w: 4, e: 3, k: 4, i: 2}. Give prob of picking 1 e, 1 z, and 1 i.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 788 = 3*n, -2*n = -4*b + 11 - 503. Does 32 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.42 + -7.42. Let r = -0.1 + -4.9. Sort -1, v, r in decreasing order.\nAnswer: -1, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -15, 1, 0, -4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, w: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-1\/15)*r)\/r))\/(r**5*r)*((r**(-1\/2)\/r)\/r)\/(r*r*r*r**9) assuming r is positive.\nAnswer: r**(-583\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 7*l**5 - 6 + l**5 + l**5 + 0*l**5 + 31*l**5 - 237*l**4 + 237*l**4 - 4*l**4 + l**5 + 4*l**4 + (-2*l - 4 + 4)*(-2*l**4 + 0*l**4 + l**4).\nAnswer: 43*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20\/11 + 2\/11. Are k and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17248 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: Let u be (-8)\/(0 + 4) + 7. Suppose 3*p = 4*p + 3*a + 12, 4*p + 4*a + 8 = 0. Which is bigger: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/120 - k**4\/24 - k**3\/6 - 17*k**2. Calculate i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5537*c + 83051. Determine i(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 4*f**4 + 0*f**4 + (-2*f**2 + 2*f**2 + f**2)*(3 - 3 - 2*f**2) - 3*f**4 + 2*f**4 - f**4 + 2*f**4 - 3*f**4 + 0*f**4 + f**4 + 7*f**4 + f**4.\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(1452)*-1 + sqrt(1452)))\/((sqrt(6) - 1*sqrt(864)) + 6*sqrt(6)*-1).\nAnswer: 110*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25097\/6 - -4158. Let l = 5818643 - 145426912\/25. Let q = -1565 + l. Find the common denominator of q and z.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m - 7. What is the units digit of h(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/32*(-8)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 151?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -2736, 0.06, 3, -1\/6 in increasing order.\nAnswer: -2736, -3, -0.2, -1\/6, 0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 3*a**2 - 3*a - 5. Let g = 7 + -11. Let o be z(g). Let p(b) = -13*b**3 + 9*b**2 - 9. Let j(r) = 3*r**3 - 2*r**2 + 2. Give o*j(v) - 2*p(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*k + 0*k**2 - 3\/4*k**3 + 0.\nAnswer: -3*k*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 i, and 1 j when four letters picked without replacement from javjiiiijajia?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3\/3 + 9*u**2\/2 + 5*u - 204. Let h = -16 - -25. What is i(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -377a8?\nAnswer: 377a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 6040?\nAnswer: 6043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from booooblloobo. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236 and 156586?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71395 is divided by 35628?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5280 and 1056?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 3)*(d + 6*d - d)*(4 - 4 - 3).\nAnswer: 144*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7*k**2 + 2*k - 4. Let v be t(7). Let d(a) = 4 - 13*a - 2*a**3 - 8*a**3 - v*a**2 + 9*a**3. Is 7 a factor of d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 7 + (-2254)\/141. What is the smallest value in w, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:54 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -36. What is the smallest value in -1\/3, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13311 (base 5) to base 15.\nAnswer: -4c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-10))\/(-1*3\/(-72)). Let n be (2\/l)\/(4\/(-16)). Sort 2\/11, n, 27.\nAnswer: n, 2\/11, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2 + 1)*(5 - 4 + 2)*(4 - 10 - 18*m + 19*m).\nAnswer: 24*m - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 6:55 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 7*d**2 - 15*d - 50. Let n be b(-6). Solve -10 = 2*a - n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -97.03.\nAnswer: 1649.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 12 + (-10 - -13) + -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 3*i**2 + 0*i**2 + (3 + 0 - 4)*(-3*i**2 + i**2 + 0*i**2) + 5*i**2 - 5 + 5 - 4*i + i**2 + 4*i.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*q = -3*o + 42, 3*q - 57 = -3*o. Suppose -9 = -5*f + 11. Let z = q + f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d + 3*f = -39*d + 4, 5*d - 2*f - 12 = 0. Sort -2, -56, -27, d, -4.\nAnswer: -56, -27, -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 30. What are the prime factors of ((16 - 4)\/v)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412338 is divided by 3717.\nAnswer: 3595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1700) + 0).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3563075\/1437168 - 2\/29941. What is the common denominator of 123\/80 and a?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = v + 1, -2*v - g + 0 = -7. Suppose v*y - 26 = 4. What is the remainder when 28 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -13 + 37 + -38.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180299\/10377 less than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2 + 43*d = 0.\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -100. Let i = -76 + 121. Let m = a - i. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -253\/4. Let a be (-1 + 2)*10\/2. What is the third biggest value in y, a, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830146 is divided by 662.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 10) in base 7?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142 and -0.3?\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(6*y - 4*y - 4*y)*(2*y - y + 4*y)*(1450 + 270*y - 1450).\nAnswer: 5400*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -351b2b1 - 1?\nAnswer: -351b2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2835000 to the nearest ten thousand.\nAnswer: -2840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/775 (b) 4\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 2*c - 3. Determine o(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -614 and 63737 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 133938, 265513, 397088, 528663, 660238?\n\"Answer: 131575*p + 2363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 21931*o**2 - 21816*o**2 - 4*o.\nAnswer: 115*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzduhq. Give prob of sequence hw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzgdtgez. Give prob of picking 1 g, 1 z, and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -4, 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5356858 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 4*r - 3*r - 1 + 8*r + 1 - 3*r + 6*r - 2*r + (-6 + 5 + 4)*(0*r + 2*r - r) to the form s + a*r and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 20. Which is greater: 1.4 or y?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1010186 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*r, -5*c + 7 = 3*r - 6. Let w = c - 0. Differentiate 2 + 5*o**2 + w - 5 wrt o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8532)\/(-4740))\/(3\/4*(-16)\/40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g - 2*f - 16, 0 = 2*f. What is the second biggest value in -5, g, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2222 and 33\/2681045?\nAnswer: 58982990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -14*m**4 + m - 5. Let h(r) = r**4 + r + 1. Let w(a) = -f(a) - 5*h(a). Find the second derivative of w(k) wrt k.\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + c - m + 4, -c + m = 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/63)\/((488\/976)\/((-7)\/6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-213 + 0)*3*(-20)\/60.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285688 divided by -1285688?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 333360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5870099mg to grams.\nAnswer: 0.0005870099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 16 + 6)*(8*o**2 - 8*o**2 + 13*o**3) in the form l*o**2 + g*o**3 + d*o + j and give g.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 203?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1007 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3066, 0.48, -0.089?\nAnswer: -3066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)\/i*i\/i**(2\/59)*i*i*(i\/(i*i\/i**(3\/10)))**(2\/129) assuming i is positive.\nAnswer: i**(-77813\/38055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96.944 - 97. What is the nearest to 2\/3 in -1, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 1221?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q + 6*q - 2*q + 11*q + 441 - 440 - 2*q.\nAnswer: 24*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 3, 2\/15, 0.039, -159\/61?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5 - 5*n**3 + 4*n = 0 for n.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*v = 1727 + 1036 - 131 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:34 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 112*m**4 - 71732*m**3 - 5533114*m**2 + 2580560*m - 298200 = 0.\nAnswer: -70, 3\/14, 1\/4, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (131\/393)\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.563 - 2.563. Which is the second biggest value? (a) l (b) 3 (c) -0.038\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219368175421441 plus 0.2?\nAnswer: 219368175421441.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -509, -747, -971, -1175, -1353, -1499, -1607?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(245) + (3 + -2 + sqrt(245))**2 - (sqrt(245) - sqrt(245)*2*5) - (sqrt(245)*-2*1*3)**2).\nAnswer: -8574 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - 2861\/(-2). Let b = p - -267. Suppose m - 4 = 0, 6*m = -3*y + m + b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*i - 1222 - 6318 = 0 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-4)\/26)\/(-1))\/1. Let h = 71058\/55 - 1292. Let i = 104\/165 - h. Which is the closest to i? (a) f (b) -1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-1)\/sqrt(6))**2 + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/11 (b) 38 (c) -2 (d) 8 (e) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 40. Suppose -4*y + 5*y - z = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248 smaller than 4251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.4 + 6. Let t = 2 - 2.1. Let p = t - f. Put p, -3, 0 in decreasing order.\nAnswer: p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.048, -2, 1 in descending order.\nAnswer: 1, -0.048, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -547c60 (base 13) to base 7.\nAnswer: -22620325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1163, -9318, -31447, -74534, -145563, -251518?\nAnswer: -399383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(110)*-2 - sqrt(110)))\/sqrt(5))\/(1*sqrt(44)\/sqrt(4) + (sqrt(891) - sqrt(891)*2 - sqrt(891))).\nAnswer: -6*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11812 (base 9) to base 11.\nAnswer: -5a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 26 - 3) + 2 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4402440 (base 5) to base 3\nAnswer: 10211101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j + 2. Let c be l(4). Let a = c + 9. Let n(m) = -3*m**2 + 4*m. Let x(g) = 6*g**2 - 9*g - 1. Let o(f) = a*n(f) - 4*x(f). Differentiate o(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/7*14\/3. What is the greatest common factor of q and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**6 - 2*h**2 - 4 wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120221 (base 3) to base 15.\nAnswer: 1da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 2*r**4 - r**4 - 32*r + 34*r to the form j*r**2 + f*r + b + t*r**4 + p*r**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 99*w = 96*w, -30*h + 25*h + 8*w = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -0.1, 6, -0.07, 62, -23\/8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410 - 20222?\nAnswer: -21132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - f + 270404 = 0, -5*k + 4*f - 39828 = -377833. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1994577, -3989154, -5983731, -7978308, -9972885?\nAnswer: -11967462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9469.8 + 9387.937. Let m = 82 + s. What is m rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-30)*u*u**(-44) assuming u is positive.\nAnswer: u**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + o - 6 = 0, -229 = -2*o - 221 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -669\/20 - -281\/5. Let b = -894713 + 8979969\/10. Let j = 3292 - b. What is the common denominator of j and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9184, -36972, -83284, -148120?\n\"Answer: -9262*a**2 - 2*a + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2913165, 11652645, 26218445, 46610565, 72829005?\nAnswer: 104873765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-9) + (-54)\/243. Let o be (4 - 3)\/(1\/4). Let x be 0\/(-3) - o\/(-22). What is the second biggest value in -1\/3, x, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 (base 14) in base 7?\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 - 672*f**4 + 37628*f**3 - 701792*f**2 - 37632*f + 702464.\nAnswer: 4*(f - 56)**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20132, 40227, 60304, 80351, 100356, 120307, 140192, 159999?\nAnswer: 179716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 109*f**2 - 25*f + 140. Give z(36).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3971733.\nAnswer: 3, 107, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 22*l**2 - 32*l - 67. What is p(-20)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125812 is divided by 577.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 3. Suppose 7 = 4*m - d. Solve -m*y = 2*w - 8, 3*y = -y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -29 + (27 - 56)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uufkfkafuukahahuuku. What is prob of picking 1 u and 1 f?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, 0, 60 in descending order.\nAnswer: 60, 5, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 85a16620?\nAnswer: 85a16620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*c + 2*j - 3, -2*j - 8 = -4*c. Suppose -2*g + 3*g - 6 = 0. Find the third derivative of c*r**2 - r**g - r**2 + 2*r**6 wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798066317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.384 + -15.8\nAnswer: -15.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 - 261*q\/4 - 66.\nAnswer: 3*(q - 88)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*d - 23, 3*s + 2*d = -5 + 1. Let k be 0\/(((-2)\/s)\/(-1)). Suppose w**5 + 8\/3*w**4 - 1\/3*w + 0 + 2*w**3 + k*w**2 = 0. Calculate w.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 564444 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3238029 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/111, -280936, 4?\nAnswer: -280936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112.1 + 119. Let j = w + -7. Sort j, 0.2, -3\/8 in increasing order.\nAnswer: -3\/8, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 32 = -87. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -642, -645, -648, -651, -654, -657?\n\"Answer: -3*b - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*0*(-3)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 427, 824, 1183, 1492, 1739, 1912, 1999?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 14. Let j be g(10). Let v = 2 - 1. Let b = -2 + v. Put j, b, -3 in increasing order.\nAnswer: -3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2312 and 3736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 26278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 18 = 60. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -8.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 a factor of 168606952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - 124.3. Let d = 0.3 + q. Let o = 17 - 14. Which is the second smallest value? (a) o (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44650541863 and -251.\nAnswer: 44650541612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9960, -9950, -9940, -9930, -9920, -9910?\n\"Answer: 10*b - 9970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r + 1. Calculate the least common multiple of 7 and u(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 59391 divided by -6\nAnswer: -19797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 78 + 6*w - 78 + 155. Let y(o) be the first derivative of -o**2\/2 + o + 13. Calculate -3*k(v) - 3*y(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**4\/3 - o**3\/6 - 7*o**2. Find the first derivative of r(w) wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 65. Solve 0 = -2*o - 3*p - 14, 1 - 7 = d*o - 3*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:10 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:41 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28620 divided by 27?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 6. Let c(m) = -1. Let g = 23 - 22. Calculate g*a(u) - 4*c(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 2, 21, 42?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a848 + -1?\nAnswer: 1a847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 704 + 310 = 3*b, 1366 = 4*b - 2*n. Suppose 8*m = -b + 1708. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2164.997039 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 24*c. Let r(v) = -103*v + 5. Calculate p(r(a)).\nAnswer: -2472*a + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -82, -272, -808, -1864, -3614?\n\"Answer: -29*p**3 + p**2 + 10*p - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:13 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1274 - 601. Let u = -3407\/5 + a. What is the common denominator of u and -67\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3257, -100, 163 in decreasing order.\nAnswer: 163, -100, -3257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:00 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:11 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 - 78*x - 135. Let r(j) = -14*j**2 - 235*j - 401. Let k(i) = 8*f(i) - 3*r(i). What is the hundreds digit of k(-42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/(-3)*72\/(-96)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61476 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x + 27*x - 2*b + 25 = 56*x, 3*b - 89 = 56*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 359685.9ns?\nAnswer: 0.0003596859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/310 - 139629\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 y when four letters picked without replacement from {y: 11, k: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 323?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 28) + -29 - -36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 = 4*k + 3, 33 = 2*k - 5*f. Suppose k*v - 3*j - j - 4 = 0, 5*j - 19 = -v. Sort v, 0, 3 in ascending order.\nAnswer: 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1778483*j**2 - 9*j + 42038.\nAnswer: 3556966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 2, u: 1, g: 1, q: 2, b: 2}. Give prob of picking 1 u and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3694034*b + 40716 = 3693332*b for b.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*u + 10491 = 71974 - 1467 for u.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -57621\nAnswer: 11524.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23442, -46879, -70316, -93753?\n\"Answer: -23437*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.853 rounded to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 13*l - 12. Let u = 1287 + -6462\/5. Find the common denominator of x(-8) and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 861120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 54 = -28*f + 107 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11212220101 + 223?\nAnswer: -11212213212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 1. Let n be g(7). Let u be (1 - 2)*n\/(-2). Let v(q) = 4*q**2 + q - 4. Is v(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -862 and 95 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -17*f - 13. Let a(j) = -4*j - 3. Let r = 6 - 6. Let v be -2 + r + (-5 - -5). Let x = 27 + -18. Calculate v*u(l) + x*a(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - 2*g**3)*(-2*g + 6*g - 3*g + 1).\nAnswer: -2*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44584688.\nAnswer: 2, 397, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9680 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/7 + 42\/98. Suppose 0 = u + i + 2*i - 11, -11 = -2*u + m*i. Solve -v = -u + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 - (12 - 13). Let t be 2\/(-3)*(-21)\/1. What is the greatest common factor of t and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1758 + 133.\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 0*r - r + 5*r**4 - 6*r**4 + (r**2 + r**2 + 0*r**2)*(5*r - 5*r + 11*r**2).\nAnswer: 21*r**4 + r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1720, -6886, -15502, -27568, -43084, -62050?\nAnswer: -84466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 26 = 10*b. Suppose 4 = -4*l - 4*s, -7 = 2*l + b*s + 10. Suppose -n - 2*o + 899 = -1396, -l*n + 3*o = -9125. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/4*8\/(-3). Let p = -33 + m. Let r = p + 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - j + 0*j + (-j - 2*j + 0*j)*(-2 + 2 - 1 + (-2 - 1 + 5)*(3 - 3 + 2) + 2 + 2 - 2) to b + d*j and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 9032?\nAnswer: 63224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-8)*4\/(-10)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16245 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93806 is divided by 173?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 5 - 19*v**2 + 5*v**3 - 4*v**3 - v**3 + 11*v**2 + v**3. Let u be r(8). Solve 12 = -8*l + u*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 7 in descending order.\nAnswer: 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*g**2 - 79 + 79)*(-48*g**2 - 78*g**2 + 73*g**2).\nAnswer: -4399*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h**2. Let k be t(-1). Suppose -54 = 3*w - 3*r, -k*w = -4*r - 0*r + 34. Is (-4)\/(-6) + w\/(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 1:19 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-3) - (-10)\/14. Let f = -0.1874 + -0.0398. Let n = f + 0.0272. What is the nearest to -0.7 in 3\/8, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1093*v + 2348*v**3 - 1164*v**3 - 1180*v**3 to s*v**2 + t*v**3 + i*v + k and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1600 - 513 + 2365 - 11180*r**2 - 4*r - 1651 - 594 wrt r?\nAnswer: -22360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/24))\/a**(3\/5) assuming a is positive.\nAnswer: a**(53\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 127. Let k be (6\/4)\/(h\/(-52)). Let b = 148 + -737\/5. Sort -0.5, k, b.\nAnswer: k, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -536 + 5421\/10. Calculate the common denominator of 34 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*i + 26, 18*l - 13*l + 35 = 4*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -235?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 2920.\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2.97.\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -668*x + 661*x + 21. Let n be -4 - x\/(6 + -7). Let g(o) = -32*o**3 - o**2 + o + 1. Determine g(n).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -3\/4, 2\/77, -1102, -10.\nAnswer: -1102, -10, -3\/4, 2\/77, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 7 - (0 - -3)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 30 = -17*d. What is the tens digit of (-5 + 0)*d\/((-20)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*k - 35 = -219 - 146. Solve l - 5*b + 20 = 3, 5*l + 19 = k*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 4a6b2a7?\nAnswer: -4a6b2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1468412652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1230830414 to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3eec2 + -110?\nAnswer: -400d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o + 2. Let x(h) = h**3 + 6*h**2 - 5*h + 8. Let q be x(-7). Let u be b(q). Suppose -15 = 29*i - u*i. Solve 0 = -2*m + 3 + 3, m + 22 = i*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*w**2 + 10*w**2 + 2*w**2)*(36*w**2 - 13*w**2 - 8*w**2).\nAnswer: 870*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2508, 9, 0.2 in ascending order.\nAnswer: 0.1, 0.2, 0.2508, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 30*r - 26*r = 688, -5*r + 690 = 5*u. Calculate the remainder when 519 is divided by u.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -6\/5 (b) 1\/4 (c) -2 (d) -1\/4 (e) -148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 12*x - 24. Let q be v(12). Let k be 9 - 6 - (-44 - 0). Suppose q - k = 7*t. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 8 = a - 5*w, 2*a + 29 = -3*w. Let i = a - -8. Sort 4, 3, i.\nAnswer: i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 4191*m + 4192.\nAnswer: -(m - 4192)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:10 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -81, -155, -271, -441, -677, -991, -1395?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c, -m = 3*c + 2*c + 77. Let y = m + 122. Let l = 57 - 40. What is the remainder when y is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4166 + -3679. Solve x*s = 486*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.767 + 0.067. Let m = g - -8. Which is the second biggest value? (a) 3 (b) -1 (c) -1\/5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -97, -160, -235, -328, -445, -592, -775?\n\"Answer: -j**3 - 56*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2. Let m(d) be the first derivative of -18 - 3\/2*d**2 + 0*d. Give m(j(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 + 50 = -3*j. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 28*b**2 - 3*b + 3. Suppose -3 = -4*h + 1. Let i(c) = 13*c**3 + 3*c**2 - 2*c. What is the remainder when n(h) is divided by i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**5 + 7389*k**4 - 912162*k**3 + 541692*k**2 + 363096*k = 0. What is k?\nAnswer: -2\/5, 0, 1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 23. Let b(t) = t + 1. Let l be b(k). Suppose -4*u + 8 = 4*h, 2*h + 0*h - l*u - 4 = 0. Solve 6*g - 4 = h*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14)*77\/(-22)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from kkgkgg.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:12 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.34*618.\nAnswer: 4536.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43979.\nAnswer: 13, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211000211 (base 3) to base 14.\nAnswer: 5bd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225427697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 776*m + 749*m + 2317*m + 0*m + m - 3*m - 2*m + 2*m - m + (-4 + 4 + 2)*(-3*m + 0*m + 2*m).\nAnswer: 3837*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1540768 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -8. Let n = -6.4 + x. Let t(q) = -q**3 - 5*q**2 + 6*q + 2. Let f be t(-6). Which is the nearest to 0.1? (a) f (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 16*o**2 - 18*o - 405. Determine f(-17).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 84. Suppose -6*c + i = 4*c. Suppose 211 = 3*a - c*b, b = -2*a + 4*a - 150. List the prime factors of a.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 0*l + 2*l. Let c = -4 - -6. Let s(d) = -c + 2 - 2*d. Give s(u(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 327 - 188. Let g = s - 111.2. Let h = -28 + g. Which is the third smallest value? (a) -4 (b) -2 (c) h (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8676*s**2 - 54*s. Let p(t) = -668*t**2 - 4*t. What is 4*d(y) - 54*p(y)?\nAnswer: 1368*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-176*f + 825*f - 358*f)*(8 - 8 + 22*f)*(-2*f + 2*f + 2*f) as c*f**3 + g*f**2 + d*f + j and give c.\nAnswer: 12804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 37230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 11. Let f be v(-6). Let n = f + 54. Suppose -5*m - u = -29, -2*m + 22 = -u + 4*u. What is the highest common divisor of n and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14521 = 2061*z + 16394 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**3*g)\/(g\/g**(-14)))\/(g**(-8)\/g)**(-17))**(3\/22) assuming g is positive.\nAnswer: g**(-507\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42927332 and 12.\nAnswer: 128781996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmm when three letters picked without replacement from {k: 1, m: 3, q: 4, c: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -19299421\nAnswer: -5\/19299421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*r - 62 = 0, 218 = 3088*k - 3090*k + 8*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 2. Let n be (b - 0 - -4)\/1. Suppose v - 11 = -p, -p - 4 = n*v - 4*v. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.127 - 1.227. Let w = 33.1 - 36. Let k = w + s. Put 2\/9, k, 4 in descending order.\nAnswer: 4, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.70767um in meters?\nAnswer: 0.00000470767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 4672 = 4427. Solve 0 = 7*f - 0*f - s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134640 = 127*d - 135*d. Round d to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*n = 63 - 47, 5*o + 10 = 2*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21311 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5 + 45*d**4 - 75*d**3 - 45*d**2 + 78*d = 0.\nAnswer: -1, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttrdrrrrd. Give prob of picking 2 r and 1 d.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1201*k = 1413*k - 2968. What is the smallest value in -258, 0.1, k?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 76478324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 262*o - 100*o + 6318 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 1919?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 - 4*u + 2. Let x be i(3). What is the units digit of 10\/x + 220\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (522\/(-145)*(-16)\/6)\/(22\/55)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 32, 5, 1, -36, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 2. Let r(x) = x + 1. Let g be r(5). Suppose -3 = 3*p + g. Let l(j) = j. Calculate p*l(h) - d(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (378\/72)\/(6\/(-16)). Let t = -10 - a. Suppose -26 = -5*n + t. Calculate the remainder when 16 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183017.9 - -111239.6?\nAnswer: 1294257.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80*(-31)\/(-248))\/(1*4\/1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352544 and 608.\nAnswer: 6698336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwzgn. What is prob of picking 1 m and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11967 is divided by 5364.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 7 + 29 + 0*o + 0*o. Let y be u(-20). Solve -p + y*p = -4*k + 15, 2*k = 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -13*v**4\/3 + 13*v + 2. Let b(y) = 2*y**2. Calculate o(b(x)).\nAnswer: -208*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.639 - 0.638657. What is f rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 15. Let d be 213\/a + (-4)\/20. Is 14 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 - 15*o**2 - 77*o**3 + 112.\nAnswer: -77*o**3 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013956 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**4\/6 + 8*a**3\/3 - 2*a**2 - 28*a. Let z be c(3). Solve 4*x + f = -6, 3*x + z = -x - 2*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71481, -71482, -71483, -71484, -71485?\n\"Answer: -w - 71480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132627 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25716\/54 + (-7 - (-254)\/36)*-4. What is the greatest common divisor of 15589 and a?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 18*a**2 - 19*a - 1. What is the lowest common multiple of 9 and t(-17)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -99861350 = -99861349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + 4*t**3 - 4*t**3 + (-3*t**4 - 2*t**4 + 3*t**4)*(-2 - 7 + 3) - 1 + 1 - 4*t**4.\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(80\/(-40)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15363 + 744. What are the prime factors of w?\nAnswer: 3, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -55*y - 16. Is f(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 66 - 65 - 30*q + 195.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 19. Suppose y*w - 90 + 220090 = 0. What is w rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**4)\/l)**(-1\/87) assuming l is positive.\nAnswer: l**(-4\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154043 (base 7) in base 13?\nAnswer: 93b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*u - 3. Suppose -1 - 2 = -u*p. Suppose -w + 3*y + 13 = -p, 20 = 2*w - 2*y. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + -1 + 0 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721 is divided by 172.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14202 (base 5) to base 16\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, w: 2, g: 4, e: 1, v: 2}. Give prob of picking 3 g and 1 z.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + v = -1, 3*v + v - 14 = -2*u. Let d be 1\/(22\/74) + -3. Which is bigger: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 + -102. Let u = -131 + q. Which is the fourth smallest value? (a) 0 (b) -0.5 (c) 1\/3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 1. Suppose l - 2 = n, 4*l = 3*n + 10 - 2. Calculate a(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b**2 + b. Let i be (7 - 9)\/(1 + 1). What is the units digit of d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 3235 = 1345. List the prime factors of f.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*l + 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23211*n + 23214*n + 23206*n + 122 + 28 - 69629*n.\nAnswer: 2*n + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*f - 45 = -5*i, -2*i + 2*f + 20 = 0. Solve 0*u - 5 = -i*u - 5*b, -3*b = 5*u - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1627655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 5, p: 3, c: 1, s: 1}. Give prob of picking 2 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -135. Let y = -0.4 + 2.4. Let q = -1 - y. Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16314524 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 5:49 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - x = -35. Suppose z - 2*j - 31 = 0, -3*z + 0*j + 3*j + 84 = 0. What is the highest common divisor of z and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2467\/2 + -1201. Let f = 4526 - 63249\/14. Calculate the common denominator of w and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 8*t**2 - 11*t + 10. Let k be f(9). Let v = k - -19. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17 = -2*m + 3*m, 5*k = 5*m + 15. Suppose 5*c - 20 = 0, -2*w + m*c + 34 + 32 = 0. Let q = -34 + w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**5\/60 + 35*a**3\/2 - 174*a - 1. Let p(i) be the second derivative of m(i). Let r(q) = -2*q**2 - 64. Give p(r(s)).\nAnswer: -4*s**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.4046 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 - 54*s. Let n(y) = 6*y**2 - 4*y**2 - 5*y**2 + 8*y**2 - 6*y**2. Calculate v(n(d)).\nAnswer: -5*d**4 + 54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:36 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24020, -1, -2\/43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u**2 - 433 + 433 - 3*u in the form m*u**2 + y*u + l and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = -12. Let p be 139\/2 + (-2)\/q. Let r be 38\/4 + 2\/4. Calculate the greatest common factor of r and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**2*j**3 - 8*g**2*j**2 + 7*g*j**3 - g*j**2 wrt g?\nAnswer: 10*j**3 - 16*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*l*x + 122193164*d**2*l - 29282*d*l*x - d*l - 8987*d*x wrt d.\nAnswer: 6*l*x + 244386328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-11)*(p**(1\/4))**(2\/13) assuming p is positive.\nAnswer: p**(287\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085966186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 6*y + 48025 = 13817. Calculate the smallest common multiple of y and 12.\nAnswer: 12828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 8*w + 15. Let q be g(6). Factor -13*j**2 - q + 28*j + 9*j**2 - 1.\nAnswer: -4*(j - 5)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 15. Suppose -3*b + 2 + 7 = u. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 0*c - c**3 - c - c**2. Suppose 2*f - 2 = 2. Let v(n) = -8*n**3 + 7*n**2 + 8*n. Let r be (12\/10)\/((-3)\/(-35)). What is f*v(b) + r*m(b)?\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*(sqrt(114) + (sqrt(114) + -1*sqrt(114) - sqrt(114))) + sqrt(114))\/(sqrt(726) + 2*sqrt(726)) - (6*2*sqrt(95))\/((sqrt(75)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: -11857900\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*3*-2 + (sqrt(275) - (-6*(2 + sqrt(275)))**2) + ((3 + sqrt(275))*-3*1 + 0)**2.\nAnswer: -7488 - 475*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 23*q**2 - 10*q - q**3 + 14 - 8*q**2 - 1. Let a(k) = k**3 - 16*k**2 + 11*k - 14. Let p(f) = 6*a(f) + 7*n(f). Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 31*k = -88*k + 1845 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51838365?\nAnswer: 3, 5, 19, 181889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 21*n**2 - 45*n - 5. Determine y(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10023?\nAnswer: 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61162890587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3212248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9506804*-12.\nAnswer: 114081648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -112?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + 41. Let o be (-593999976)\/u - 2\/9. What is o rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/28 + (-183)\/21)\/((-36)\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5976509 grams to nanograms.\nAnswer: 597650900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 1399 + 1435 - 2834. Let r(t) = -t - 490. Give r(c(i)).\nAnswer: 2*i - 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -8. What is the lowest common multiple of x and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008586801 to 6 decimal places.\nAnswer: -0.000859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 965 + -962. Solve k = -4*a + 13, -k - 7 = -s*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -4 + sqrt(112) + (sqrt(112) - sqrt(112)*2) + 3) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:43 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + 2. Let u be f(0). Let l(r) be the second derivative of 0 + 3*r**u - 1\/2*r**3 + 4*r. What is the derivative of l(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(((-1040)\/(-24))\/5)\/((-8)\/12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -20?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from fmymfnuynyxmym.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 4 = 5*o. Suppose 5*p + o = 1, 4*h = -2*p + 8. Suppose -2*l = 4*n - l - 10, h*n = 3*l. Solve -n*k = -5*u + 11, 2*u = -4*k + 4 + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -l + 6*l - h, 6*l + 281*h - 277*h = 78 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*r + 0*r = -59, -4*l + 3*r + 79 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234 - 107. Suppose 4*c = 135 - y. Calculate the greatest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 6:00 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 4*r**2 - 2*r - 6*r**2)*(r - 5*r + r).\nAnswer: 3*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2663, 9881, 20385, 32903, 46163?\nAnswer: 58893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - a**3 + 2*a**3 + 3 - 3 - a**3 + 0*a + 0*a + a**3 + (4*a**3 - a**3 - a**3)*(-2 + 2 - 2) + 343*a**3 + 51 + a**2 - 340*a**3 - 22.\nAnswer: 2*a**3 + a**2 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 7*r**2 - 7*r + 5. Calculate q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -231, -222, -205, -180?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:16 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + m**2 - m + 1. Let t(l) = 5*l**2 - 5*l + 5. Give -t(a) + 5*y(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1293 = -4*u, -2*d + u = -5*d - 786. Let y = d - -151. Is 68*y\/(-4)*17\/170 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*201.28701.\nAnswer: -3220.59216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 4 = -8*d + 88 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**2. Suppose 4*y + 14 = 2*b, -5*y + 4*b = -y + 24. What is o(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a40 + 861b7?\nAnswer: 85377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - 4. Let r(n) = 397*n - 1. Determine y(r(g)).\nAnswer: 630436*g**2 - 3176*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 121578.5348 to the nearest 100.\nAnswer: 121600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1181544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Let v be (0 - 2) + n + 58. Suppose 0 = -p + 3*b + v, 2*b + 3 = 1. What is the remainder when p is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 1:19 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 10 = 0, 7*g = -4*w + 5*g - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 + 5205*u + 57861. Determine a(1052).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(sqrt(39)\/sqrt(3) + sqrt(13)).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 24. Let l be t(10). What is the second derivative of -974*j**2 - l*j + 974*j**2 + 32*j**4 wrt j?\nAnswer: 384*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**6\/15 - 1691*y**5\/20 + 1663*y**4\/12 + 178*y. What is the third derivative of x(r) wrt r?\nAnswer: 48*r - 10146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Suppose 2*f = 7*f - 80. Suppose -4 = -v*n + f. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1)*(-12)\/12)\/(113\/1469).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -6260608567?\nAnswer: -6260608561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16848536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 20. Let d be (-1)\/(9\/o - (-3 + 2)). Determine w, given that 2\/7*w**3 + 0*w**d + 0 + 0*w = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.361543 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3 + 183*w**2 + 8620*w + 8436 = 0?\nAnswer: -38, -1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14820061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.625?\nAnswer: -3.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001583626 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 1. Let h(w) = -w. What is -h(c) + z(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183 - -177. Let d(y) be the second derivative of -32*y**3\/3 + 35*y**2\/2 - 9*y. Is d(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473313 minus 15424?\nAnswer: 457889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -622, -1455, -2602, -4051, -5790?\nAnswer: -7807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/y**(-1\/5))\/y)\/y)\/y*y)\/y**(-5\/3)*y**(2\/5)\/y**(4\/3))\/((y*y**(-2\/5)*y*y**0)\/(y**(-1)*y**0)) assuming y is positive.\nAnswer: y**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 687 (b) -2 (c) -9.5 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {n: 1, v: 2, x: 9, c: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 34*w**3 - 484*w**2 + 26*w. Let h(l) = -4*l**3 + 54*l**2 - 3*l. Calculate -3*d(i) - 26*h(i).\nAnswer: 2*i**3 + 48*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 3*t + 0*t - 4*t. Let z(n) = -8*n + 2*n - n. Give l(z(a)).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-49)\/12)*(-3)\/(-27)*6?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*b**2 - 20*b**2 + 33*b**2 - 109*b**2.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -31, -79, -149, -241, -355, -491?\n\"Answer: -11*f**2 + 7*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1060800 divided by 1200.\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -565, 2\/5, -2\/9, 2 in decreasing order.\nAnswer: 3, 2, 1, 2\/5, -2\/9, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101916988?\nAnswer: 2, 19, 701, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 16) to base 2.\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 579\/7 + (-2)\/(-7). Suppose -277 - z = -9*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(912)*1*-6)\/(4*-5*1*sqrt(243)))**2.\nAnswer: 304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (316739 - -183) + 15\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, h: 3}. Give prob of picking 4 j.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/5 of a hour?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 1846.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 702 and 286?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1861371*l - 5 + 5 - 298340*l.\nAnswer: 1563031*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (11 + -2))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23895.2 + -23895. Let x = -113\/320 - 3\/64. Which is the nearest to x? (a) 2 (b) o (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, l: 3}. What is prob of sequence lk?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/7 - 18*l**2\/7 - 33*l\/7 - 18\/7 = 0. Calculate l.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d - 40*d = 4*s + 24, -2*d + 24 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/508 and -27\/98552.\nAnswer: 98552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**3 - 18*c**3 - 7*c**3 - 8*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 7*u**2 + 4*u - 12. Let r be i(-6). Suppose r = -3*j - 7 + 34. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(23\/(276\/(-12))*6)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18345 is divided by 3557?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b - 200. Let j(z) = z + 50 + b - 90. Let x(q) = 17*q**2 - 6*q. Let o(h) = -341*h**2 + 121*h. Let y(a) = 6*o(a) + 121*x(a). Determine j(y(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 27567844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) 2\/7 (c) -3\/5 (d) -9\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/43)\/((v*v*v**(-1\/33))\/v*v)*(v*v**(-16))**(1\/86) assuming v is positive.\nAnswer: v**(-6217\/2838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -349 + 836. Is 487 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -20*i**3 - 3*i**2 - 6. Let x be s(-3). Let a = x + -4600\/9. Find the common denominator of 49\/3 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (26 + (27 - 17 - 25))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzd when three letters picked without replacement from {d: 3, z: 5, t: 4, b: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 80 (c) -2\/7 (d) -4 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6032 - 6147. Sort 0, h, 4 in ascending order.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.4 or 7\/379?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -42*f**3 + 17*f**2 - 17*f - 17. Let z = 2394 + -2388. Let c(l) = -7*l**3 + 3*l**2 - 3*l - 3. Determine z*p(w) - 34*c(w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6279883 * -15\nAnswer: -94198245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-272)\/612*(-3)\/12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -21 - 4, -5*h + 4*s = 42 - 82 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**3\/3 + 26*z**2\/3 + 26*z\/3 - 20\/3 = 0?\nAnswer: -5, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1293 + 3561)\/((-10)\/24 - 0). Which is bigger: w or -5443?\nAnswer: -5443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(19)*2*2 - sqrt(19)) + -4 + -3 + 3)*4.\nAnswer: -36 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3214, 1, 2 in ascending order.\nAnswer: -3214, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4094714537?\nAnswer: 17, 29, 8305709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f + -90f54?\nAnswer: -90f83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 7*b - 6. Let u be q(-5). Suppose h - 30 = -0*w - 2*w, -3*h - u*w = -92. What is the greatest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4\/5 (b) -2\/9 (c) -2\/3 (d) 86.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 6741*m**2 - 3673080*m - 128660400.\nAnswer: -3*(m - 1140)**2*(m + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 201243?\nAnswer: -201254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 157850 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 - -42. Let p = b - 109. Let n = -79.5 + p. What is n rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 + 51*r + 3 - 59*r. Let p(b) = b. Let t(u) = 3*u. Let a(l) = 5*p(l) - 2*t(l). What is a(f(g))?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-93 - -70) + (5 + -1 - 1))\/(-4). Solve 3*z = 3*s - 0*s - 3, -4*z - q*s = 31 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*n**4 + 0 + 9\/2*n**3 + 33\/2*n + 27*n**2 = 0. Calculate n.\nAnswer: -1, 0, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/20 and -99\/213214.\nAnswer: 2132140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - 72. Let r = -91 - t. Solve -r*p + 2*p = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 - 568. Let i = m + 408.00001574. Round i to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*b + 2*b = -428, 4*b + 1073 = -5*p. Let r = p + 729. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2874 by -2.\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 355405693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2676*t + 50801. Give q(19).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {e: 3, v: 1, t: 2, c: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 + 2*q**4 + 3*q**4 + 2*q**4 - q**4 - 3*q**4 + (-4*q**2 + q**2 + 4*q**2)*(5*q - 2*q**2 - 5*q) to p + r*q**4 + f*q**2 + l*q + a*q**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4650 and 1269150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22309 - 692. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.123 times -7.2\nAnswer: 0.8856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 56. Let x(y) = 4647*y. Calculate u(x(s)).\nAnswer: -13941*s - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + 0 + 3. Let h(d) be the third derivative of -d**6\/120 + d**5\/30 - d**4\/24 - d**3\/6 - 2219*d**2. Give h(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5248 divided by 16.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 8*l**2 + 2*l. Let j be p(7). Let z = -232 - -253. What is the greatest common divisor of j and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63\/(-35)*(-39)\/(-117) + (-63)\/(-55). What is the biggest value in s, 33\/7, 4\/9, -0.5?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7722 (base 11) in base 4?\nAnswer: -2133030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(2\/119)))**(-36) assuming k is positive.\nAnswer: k**(-4212\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 19*f - 113. Let p be n(7). Solve 3*m + m - p = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let s(w) = 255*w - 124*w - 338*w. Give d(s(m)).\nAnswer: 207*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15543?\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(304) + 2) + sqrt(1900) + (sqrt(1900) - (sqrt(1900) - -1*(sqrt(1900) + -2))))**2.\nAnswer: 320*sqrt(19) + 4964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - 19*c + 56. Let x be z(9). Suppose 0 = -374*g + x*g + 6. Solve 4*k = -3*b + 3, -g + 10 = 4*b + 4*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295145?\nAnswer: 5, 59029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 2114808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14970, 29887, 44754, 59547, 74242, 88815, 103242?\nAnswer: 117499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5 - 13*v**2 - 9*v + 22 + 4*v**2. Let x(z) = 2*z**2 + 2*z - 4. Determine 6*c(f) + 26*x(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -82. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7452 (base 8) to base 16.\nAnswer: f2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-12)\/(q**(-1\/3))**(-7\/6))\/((q\/(q\/q**(3\/8)*q))\/q**(6\/5)*q**2\/q**(-2)) assuming q is positive.\nAnswer: q**(3397\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -478591.53 or 22?\nAnswer: -478591.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-9))\/(m**(-2)\/m))\/(m*m*m*m**(1\/9)*m*m\/(m*m\/m**(1\/6))) assuming m is positive.\nAnswer: m**(-149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**2 - q - 3. Let v be h(1). Solve p = -v*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-2)*3\/21. Suppose -2*u + 5 = 5*z, 4*u = 2*z + 2*u - 2. Let t be (15\/(-8))\/((-3)\/(-2)). Which is the second smallest value? (a) t (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/3 - 11152*f\/3 - 2387438\/3 = 0. What is f?\nAnswer: -5353, -223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -425 and -434 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -13, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2 = -b, -16 = -2*t + 248*b - 252*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76)\/sqrt(4) + 0 + sqrt(19) + sqrt(19)) - (sqrt(1900)*2 + sqrt(19) - (sqrt(19) - (1*sqrt(2736) + sqrt(19) - sqrt(19))))**2)*-6.\nAnswer: 54*sqrt(19) + 116736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 52*u = 51*u + 41207, 5*r - 51502 = u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36052?\nAnswer: 2, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 - 13.6. Let f = -20 - u. Let k = f + -0.2. What is the biggest value in k, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17 + 21*v**4 + 40*v**2 - 82*v**2 + 42*v**2 with respect to v.\nAnswer: 84*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -24*l + 24. Let c be (-2 - (-21)\/l)*16. What is the second derivative of -2*g + 162 + c*g**3 - 162 wrt g?\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5565 (base 14) in base 12?\nAnswer: 8685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.01437 rounded to 1 decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 5 = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3. Let n(d) = -d - 1. Let i be (-1 + -4)*20\/(-50). Give i*n(r) - j(r).\nAnswer: -2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -3 - -3*sqrt(1700))**2.\nAnswer: -204*sqrt(17) + 19661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/14 + -1 + 504\/3528\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2 (c) -1.8316 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1000 and -0.09?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**3 + 7*u**3 - 641*u**2 - 232*u**2 - 18*u**3 + (-3*u**3 - u**3 + 2*u**3)*(-1 - 2 + 2) - 2*u**3 + 6*u**3 - 2*u**3 + 2*u**3 + 2 - 2.\nAnswer: 5*u**3 - 873*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -14 + (-10 - -23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**6\/3 - 477*d**5\/5 + d**4\/2 + 499*d**3\/3 - 5407. Find the third derivative of s(v) wrt v.\nAnswer: -120*v**2 - 11448*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = z + 16, 2*z + 16 = 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2059047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39571*h + 98*h**2 + 3*h**4 + 330*h**2 - 39570*h to the form a*h**3 + c*h**2 + t + v*h**4 + y*h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (205\/820)\/((3\/4)\/3). Let y = -5 - -5. Put 5, 2, f, y in increasing order.\nAnswer: y, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*o - 9 + 4, 5 = 5*o - 5*k. Suppose -4*l + 23 = 5*m, 3*l + 0 = -5*m + 21. Put l, o, 1 in descending order.\nAnswer: l, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3422 = -3*u + 5262, 0 = 5*u + i - 14469. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*k**3)*((-2 + 3 + 0)*(1156 - 1156 + 347*k) - 5*k + k + k).\nAnswer: 688*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9*3\/2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 3. Suppose n = u*n - 114. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.3 (b) -0.5 (c) 15\/857\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3 + 4*y - 4*y**2 + 0*y**2 - 75*y**3 + 8*y**2. Is w(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32368727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194760 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k - 2. Let l = -4200778\/9 + 465859. Let p = l - -895. Which is bigger: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49740.91 or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 26*x - 10 = -29*x, 2*i + 2*x - 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011766 is divided by 3264?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316 by 4.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvxvvvxvxxvxvvvxv. Give prob of picking 3 v.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(2\/3)))**(8\/7) assuming k is positive.\nAnswer: k**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 5. Let g = c + 6. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 98*u + 67. Let y be p(32). Let n = 8 + -6. Solve g + n = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430425 and 3927389.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9))\/(45 - (-3808)\/(-84))*(-2379)\/(-26)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j + 2 = 0. Let b(i) = -8999*i + 1. Let r be b(j). What is r rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1654 and 69\/22.\nAnswer: 18194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 304 (b) -1\/4 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 36. Calculate the smallest common multiple of 8 and (11 + f)\/(6\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35, 1\/3, 6\/11, -2\/15, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*u = 92*u + 44. What is the second smallest value in u, 3\/13, -1, 1\/3?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 215, 283, 347, 407, 463?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80714070 and 5558.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.04, -3.\nAnswer: -3, -0.04, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 34. Let v = -7 + 10. Suppose 0 = -0*q - v*q + 15. Solve 0 = -5*i - g*d + q, d - 26 = 4*i - d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 15 + 117. Suppose -8*l - w = -131. Solve 15*u - 10*u = l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 57\/12)*-27. Let l = -19 - g. Is 0 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/19? (a) -3\/2 (b) -5 (c) -0.48 (d) 7 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3458347 * 57\nAnswer: 197125779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3 - 17) + (390 - 402)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/62*(-2)\/(12*1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (597*k**4 - 271*k**4 - 205*k**4)*(-3*k - 3*k + 3*k).\nAnswer: -363*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5138*b**4 + 1866*b**3 - 42916599*b**2 wrt b.\nAnswer: 123312*b + 11196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k**5 + 17224*k**4\/7 + 1232214*k**3\/7 + 21222676*k**2\/7 + 14849152*k + 838656 = 0.\nAnswer: -112, -13, -9, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -62. Let f be (-4)\/14 - (-240)\/7. Let u = f + y. What is the smallest common multiple of u and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105781\/20 + -5289. What is the nearest to 2\/23 in 1\/3, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1659\/5665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 6. Let u(z) = 6*z - 16. Let i be u(4). Let x be -2 - (i\/4 + -4). Determine d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) 4 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 738889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518 + 518 + 77*r**2.\nAnswer: 77*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 1\/8 (c) 4\/3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(4\/9)*a*a)*a\/(a**(-6\/5)\/a*a)*(a*a**2)**(6\/5)*a**(5\/2)\/((a*a*a**(8\/3))\/a)*a**(-1\/2)\/(a\/a**(-5)) assuming a is positive.\nAnswer: a**(-149\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.32977 + -18.254. What is q rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*v - 671*v + 171 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*(7\/(-2) - (-6)\/4). What is the closest to 0 in p, 0, -5\/31, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 40*u**2 + 1 - 21*u - 6 - 6*u**3 + 20*u as c*u**3 + z*u + q + k*u**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*c - 3*c - 20, -9 = -b + 2*c. Solve -3*o = 2*y - b*o, -o = -3*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -4, -18 in ascending order.\nAnswer: -18, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*w + 57*w - 2590 - 3624 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*x - 2*x + x)*(-x + 2*x - 3*x) + (-3*x + 6*x - 4*x)*(-2 + 1 + 2)*(14*x - 7*x + 21*x))*(-2 + 4 + 0) to the form j + p*x + v*x**2 and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let t(w) = 23*w - 4. Let z be t(3). Suppose -4*k - 20 = 0, 0 = 4*l - 5*k - z - 88. Let v(n) = 32 - l + 2*n. What is v(g(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*s**4 - 98*s**2 - 20155*s wrt s.\nAnswer: -312*s**2 - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 16 - 54 + 19 - 1154*q**3.\nAnswer: -1154*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4485 - -1028. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - ((-19 - 83) + -2)) + (2 - 3 - -14)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 94\/282*(0 + 0). Which is bigger: -1\/1200 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 301 = -5*m, 4*m + 3*p = 2*m - 109. Is -6 + 1 - -4 - m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 774 - 732. What is the hundreds digit of 74832\/112 - (-1)\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3\/7, 2\/3, 2.6, -1\/5 in descending order.\nAnswer: 2.6, 2\/3, 3\/7, -1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.28. Let p = 3.98 - m. Let r = 89 + -92. What is the second biggest value in p, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**4\/5 - 36*n**3\/5 - 112*n**2\/5 - 144*n\/5 - 64\/5 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -28, -41, -60?\n\"Answer: -3*c**2 + 2*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 616216?\nAnswer: 3081080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283\/3 - -95. Let j = -3.3 + 3. What is the closest to g in j, -2, -4\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -48, -101, -176, -273, -392, -533?\n\"Answer: -11*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9127 + 9232 = -7*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647659 is divided by 2768.\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(((-4)\/5)\/2))\/((18690\/(-210))\/1246)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454491?\nAnswer: 3, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/60 + b**4\/24 - b**3\/3 + 3*b. Let u(s) be the second derivative of p(s). Differentiate u(m) with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2429803 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-42)\/16 + (-4 - -8)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18*(-5)\/(-20)))\/((-572)\/(-234)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1320 * -457.78\nAnswer: 604269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*t + 5*o, -698*t + 693*t - 4*o - 22 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*f = -18, -3*f + 4 = -2*x + 19. Let q be 1 - ((-4)\/3 + 1). What is the second smallest value in x, q, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 3.76?\nAnswer: -4.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 2\/3, 5, 1\/7, -10 in decreasing order.\nAnswer: 5, 2\/3, 1\/7, -5\/6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 46889550\nAnswer: -1\/23444775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*g - 9 - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 1253503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53219*j**3*l + 6*j**3 - 2*j**2*l - 5*j**2 - 13*j*l - 606615*l wrt j.\nAnswer: 319314*j*l + 36*j - 4*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7150 - 4151. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46012313 (base 7) to base 6.\nAnswer: 221445502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 24*i**2 + 519*i + 9. Let a(w) = 13*w**2 + 258*w + 5. Determine -9*a(f) + 5*r(f).\nAnswer: 3*f**2 + 273*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*z + 6. Let q be (z\/2)\/2 - -1. Solve -q = 6*c - 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 34*m**2 + 35*m + 59. What is u(-33)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 525*d**2 - d + 17. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11247322 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -73, -118, -181, -268, -385, -538?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8604*r**5 + 13189*r**2 + 2*r.\nAnswer: 516240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, 3, 1 in increasing order.\nAnswer: -23, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 45, 48, 51, 54, 57?\n\"Answer: 3*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95579 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631404 (base 7) in base 14?\nAnswer: 5c63b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 838479337 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0*g + 3 + 1\/120*g**6 + 0*g**3 + 1\/12*g**4 - 30*g**2 + 1\/12*g**5. Let l = 0 - 4. Determine n(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162.0946818 minus -0.829?\nAnswer: -1161.2656818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 14*g - 4. Suppose -14*z - 54 = -292. Let q be v(z). Solve -43*y + q*y = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 842 and 8890678?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002758 to the power of 1\/2, to the nearest integer?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(i + i + 0*i)*(-659*i - 615*i - 53*i + 319*i).\nAnswer: -2016*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (22 + -10 - 12) + (3 + -1 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3 + 1 + 5 - 5 + (4 - 2 + 0)*(-1 + 4 - 1) - 1 + 1 - 1)*(2*o - 2 + 2) + (3 - 3*o + 2 - 4)*(33 + 21 - 9).\nAnswer: -121*o + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 212, 4, 2, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/26 + (-14)\/91. Suppose 2*v + 37 = 2*p + v, 3*p - 5*v - 38 = c. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -224\/261 + -27101\/5220. What is the common denominator of (-634)\/(-132) - (-6)\/(-9) and j?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 88*v - 252. Give y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) - (sqrt(432) + sqrt(432) + (sqrt(432)*-2)**2 + 3) - -5*((sqrt(432)*1)**2 - sqrt(432)).\nAnswer: -72*sqrt(3) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*g**5 - 463*g**2 + 1298*g - 12 wrt g?\nAnswer: 1260*g**3 - 926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -255.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 49316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 13 + 21 = 0. Calculate the greatest common factor of 119 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9505 + 0.0495. Is q smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528 and 479463.\nAnswer: 84385488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -1 + -2 + 0. Suppose 2*s + 46 = 5*g, g - s = i*s + 23. Find the second derivative of -8 + 2*d + 2*d**2 + g wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p + 7. Let y be g(-6). Let d = 0.05 + -4.05. Let h = d + 6. Put h, y, -2\/9 in decreasing order.\nAnswer: h, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*x**3 - 4*x**2 + 313 - 158 + 2*x**2 + 0*x**2 - 147 as p*x**2 + z + o*x + f*x**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1752976*h**3 - 183972448*h**2 + 9452204*h - 121380.\nAnswer: -4*(h + 105)*(662*h - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 727645 and 28245?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1\/3, 6, 19, -1.2, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 521039598 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*o**3 + 18*o**3 - 4260*o**2 + 6525 - 77281 + 25*o**3 + 284088*o.\nAnswer: 4*(o - 133)**2*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 369 = -313*y - 257, 5*l = 6*y + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 337.92 * 0.217.\nAnswer: 73.32864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-4)\/3 + 3 + (-102)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 2*u - 1. Let p be g(1). Put 18, p, -3 in descending order.\nAnswer: 18, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59595182 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = x - 13, -3*x - q - 21 = 2*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*u**5*y - 53*u**5 + 2*u**2*y - 3*u**2 + 14*y wrt u?\nAnswer: -300*u**2*y - 3180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -30*g + 33*g. Suppose g = b - 11. Solve 0 = -2*i - i + f + 7, 2*i = -4*f + b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57046*r + 57036*r = 110 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 740345 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -835 - -2641.\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10500378 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007625609 to five decimal places.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/60 + i**3\/6 - 3*i**2. List the prime factors of o(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -5*(-4)\/20. Suppose p = -y*p - 16. What is the hundreds digit of 112 + (1\/(-2))\/(4\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2\/3, 0, -2\/5 in ascending order.\nAnswer: -12, -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s - 10 = 0. Solve -7*u - 4*q = -3*u + 40, 4*u + 30 = -s*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 28 = z. Let a be 4\/z - (-4)\/14. Let c be (-1 - (-1)\/3)\/4. Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, p: 2, d: 6}. Give prob of sequence db.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/14828541 or 0?\nAnswer: 1\/14828541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419070238 to the nearest integer?\nAnswer: 20471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a - 1. Let j be y(5). Suppose 2 = 2*r - 3*u - j, 3*r - 4*u - 68 = 0. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769115534 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:05 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - d + 5*d + 21 = 0, 3*j = -3*d + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 2.7034429.\nAnswer: -16.2206574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, -2\/45, -0.7, -29, -2\/9?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1175*f - 24677. Give u(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 7*i - 3150 = -3*i - 3189, -5*k - 12*i = -159 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0*b**2 + b**2 - 7*b - 3 + 3*b. Let a be 2\/(-6) + 32\/6. What are the prime factors of j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -174. Calculate the remainder when o is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z**2 - 6*z. Let a(x) = -97*x**2 - 35*x + 2. Let r(v) = -v**2 + 1. Let i(o) = -a(o) + 2*r(o). What is -35*c(s) - 6*i(s)?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14435 - -14441. Let p(f) be the first derivative of -7\/4*f**4 + 8\/3*f**3 - 1\/12*f**n - 9\/4*f**2 + 25 + 3\/5*f**5 + f. Determine x so that p(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-4) + -2 + -2. Factor -64 + 5776*g**p + 4*g**4 + 64*g - 5776*g**2 - 16*g**3.\nAnswer: 4*(g - 2)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 0. Suppose 4*h = -i + 91. Solve 4*l + 0*l = -h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -45*p**3 + 3*p**2 + 2*p - 5. Let i(m) = -21*m**3 + m**2 - 2. What is 2*a(x) - 5*i(x)?\nAnswer: 15*x**3 + x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 3*v + 3. Suppose 6*i + 15 - 3 = 0. Let s(m) = 0*m - 2 - 2*m + 2*m**2 - m**2. Suppose -q + 2 = -k - 4, -3*k = 3*q. What is i*l(t) + k*s(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let c(l) = l + 2 - 2*l + q. What is c(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.308 - 2.808. Which is the closest to -1? (a) -1\/2 (b) -2 (c) h (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/8 + 2 + 1*(-203)\/232.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 55 = -4*g. Suppose g*p - 195 = 6*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -5, -0.1, 7364 in increasing order.\nAnswer: -5, -0.3, -0.1, 0, 7364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71346 - -8133559\/114. Find the common denominator of l and -125\/714.\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 4*q + 12. Let x be m(-7). What is the lowest common multiple of 126 and (-25)\/((-225)\/(-2)) - 110\/x?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*m**2 - 1)*(-4*m**2 - 3*m**2 + 4*m**2) - 2*m**4 + 0*m**4 + 3*m**4 + 5*m**2 - 15*m + 15*m + m**4.\nAnswer: -4*m**4 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*q + 31*q + 105*q)*((0 + 1 - 2)*(-3 + 7 - 2) + 2 - 1 + 0)*(-2 + 2 + 1) to p + t*q and give t.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -75*i - 777. Let w be v(-10). Put w, -1, 11 in decreasing order.\nAnswer: 11, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*d - 264 = -60*d + k - 232, -3*d + 25*k + 434 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 52 + 8 = 0. Let k be (-2)\/(-2 + 0)*(-5 - v). Is k less than or equal to -5\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(110) - 2*-1*sqrt(110)) + sqrt(110))\/sqrt(5))\/(1*(-2*sqrt(288) + sqrt(2))))**2.\nAnswer: 176\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 3 - 5*r - 1 + 8*r)*(-r - 3*r**2 + r)*(-r + 0*r + 0*r).\nAnswer: -3*r**5 + 9*r**4 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vkvdvrkrrkvvky.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47633920\/(-662400) - (-1 + -71).\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 + i + 2. Let b be ((-12)\/21)\/(4\/(-14)). Suppose 3*a + 3 = 3*s, -2 = -b*s + a + 1. List the prime factors of o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5312, -10624, -15936, -21248?\n\"Answer: -5312*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - f - 6. Let v be ((-192)\/(-144))\/(5\/15). Calculate t(v).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*k - 32. Suppose -98 = -4*o - k. Let g = 40 + -24. What is the greatest common divisor of g and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48274393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6 and 107\/201960.\nAnswer: 201960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 + (-17 - 3 - -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -77221.7 to the nearest one hundred.\nAnswer: -77200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 206*s**3\/3 + 183*s**2\/2 - 202. What is the second derivative of t(w) wrt w?\nAnswer: 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -22. Is 5 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**2 + r**3 + 10 - 7*r - 25 + 5 + 20*r. Let v be y(10). Calculate the greatest common factor of 135 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 48\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*i**6 - 78*i**5 + 4368*i**2 + 2 wrt i.\nAnswer: 4080*i**3 - 4680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 4 - 11) + (-1 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*j - 19 = 69, 2*h + 3*j = -52. Let i = h + 24. Solve -3*f = -o - 4, i*f - 2*f = 2*o + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2016 + 743. Let i = 1273.00000619 + w. What is i rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-98))\/(-2 + 81\/36). Let q = 40 + -23. Let l = q + -13. Sort n, l, -3\/7 in decreasing order.\nAnswer: l, n, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulalauuuauuuuuau. Give prob of sequence ll.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -275*a - 20831. What is c(-76)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8406499366 - -10.4\nAnswer: -8406499355.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 26*u - 12900. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 268212 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35108?\nAnswer: 2, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/282 and -46\/10763?\nAnswer: 64578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s + 0*s**2 + 12 - 18 + 4 + 0 - 2*s**2 to the form y*s**2 + n*s + q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1713*a**2 + 62*a**2 + 2*a - 1649*a**2 - 2*a.\nAnswer: -3300*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s - 19*s + s**2)*(-2 + 2 + s**2)*(2 - 2 + 2).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 30. Let h(c) = -c + 2. Suppose -4*u + 2 - 8 = -5*v, 0 = 2*v - 5*u - 16. Calculate the lowest common multiple of h(v) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*s + 12*s - 6206. Calculate the remainder when s is divided by 62.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6884176 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 91*f**2 - 8*f - 7. Let n be x(-1). Calculate the highest common divisor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 11 + 25. Suppose 1 = 15*w - 59. What is the least common multiple of w and g + (-6 - (-1 + -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 0 + 0*l - 2. What is the units digit of h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -3*g - 9*g**2 - 33 + 0*g**3 + 5\/12*g**4. Let u(h) be the first derivative of z(h). What is the derivative of u(t) wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 10*u = -28. Let t be (0 - -10 - 8) + u\/(-1). Let m(x) = -3*x**2. Give m(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:13 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8145 is divided by 474.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237458123 to the power of 1\/3, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*h = 2*h - 34, -4*h = r. Solve -2*v - 8 = 2*k, 3*k + r + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let j = 2295.7 - 2295.6. Let f(b) = -14*b + 6. Let x be f(4). Is x less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1317.2 * -23843.\nAnswer: 31405999.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*b + 16, 0*b + 2*b - 3*y = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -452, -2908, -9006, -20384, -38680, -65532, -102578?\n\"Answer: -273*c**3 - 183*c**2 + 4*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317*i**2*s**2*w + 7880*i**2*s*w**2 + 4*i*s**2*w**2 - 4*i*s**2 + 3*i*s*w - 19360*i*w**2 wrt i.\nAnswer: 634*s**2*w + 15760*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from wfafikj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 934 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: Multiply 0.73 and 1.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)\/((d*d**(-4))\/d))\/(d**1*d)**23)\/((d*(d*(d\/(d\/(d\/((d**(-1)*d)\/d)*d)))\/d)\/d)\/(d**4*d))**(-36) assuming d is positive.\nAnswer: d**(-118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*v + 1074 = -2075 + 13067 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.6 - 0.53.\nAnswer: 10.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (6*(sqrt(1872) + 1 - sqrt(1872)) + sqrt(1872)) - (0 + 1*sqrt(1872))) + 0)**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/10 - 11*h**4\/6 + 4*h**3 + 4727*h**2\/2 + 96*h + 2. Find the first derivative of q(p) wrt p.\nAnswer: 6*p**2 - 44*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.106 - 0.006. Which is the closest to q? (a) -5 (b) -0.2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-110)\/(-30))\/((-8)\/(-6) + -1). Solve -z - 4*k - 3 = -11, 5*z + m = -3*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 5*u**2 - 2*u + 34. Let r(a) = 4*a - 34. Let j be r(7). Let g be m(j). Solve -g = -2*o + 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 1306*u + 6505.\nAnswer: (u + 5)*(u + 1301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + n + 57 = 28, 34 = -5*s + 4*n for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 + 372 - 185 - 190 - b)*(0 + 2 - 3)*(1 - 6 + 3)*(4 + 1 - 1).\nAnswer: 48*b**2 - 8*b - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106854046.\nAnswer: 2, 13, 4109771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941608 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 5:18 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-1) + (-3)\/(-3). Let z(d) = -d**2 - 8*d + 2. Let p be z(r). Let o = 16 + p. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 + g + 3. Let h be k(5). Let y be (-4 - 748\/(-198))*3*-21. What is the greatest common factor of h and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 11*b - 86 = -y - 77, 17*y = 3*b - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2440*t + 397696. What is l(-163)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1152))\/(sqrt(150)*-2).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 59*m**2 - 44*m**2)*(-3*m + 0*m + 6*m) - 8*m**3 + 9*m**3 + 6*m**3.\nAnswer: -281*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1909*x + 49. Let u(t) = 636*t + 18. Determine -3*p(c) + 8*u(c).\nAnswer: -639*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -104517800 to the nearest 1000000.\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(140) - sqrt(140))\/sqrt(7))\/sqrt(10))**2 - (-3 + sqrt(72))**2.\nAnswer: -73 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(1053) - sqrt(1053))**2 + sqrt(1053) - ((sqrt(1053) + 2)*2)**2.\nAnswer: -4229 - 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 141. Which is greater: -22 or u?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 4 = 7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - p = 127, -2*y + 43 = -y - p. Is y a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c (base 13) to base 8.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h. Let m be (14\/8)\/(4\/(-19 - -3)). Let b(d) = 4 + 7*d - d**2 - 6 + 2. What is m*l(z) + 3*b(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r. Let h(q) be the first derivative of q - 1\/3*q**3 + 0*q**2 + 3. Let x(j) be the first derivative of h(j). Determine x(n(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -0.9. Let x = -0.2 + q. Let w = 26874219\/10 - 2687422. Which is the closest to x? (a) -0.33 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1140\/456*2\/55?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3226.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 0*o)*(1 - 1 + o) - 3*o**2 + 2*o - 2*o - 23*o**2 + 5*o**2 + 216*o**2.\nAnswer: 194*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e12 + b062?\nAnswer: a150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwv when three letters picked without replacement from {m: 4, l: 4, k: 3, v: 2, w: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 + 1. Let o be i(1). Let q = 3 - o. Let c = q - 3. What is the nearest to c in -0.3, -2, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 20. Let g be y(6). Let v be 6\/g*(-70)\/21. Let l(z) = z**3 + 12*z**2 + 21*z + 22. Let c be l(-10). Solve c = n - v*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10))\/(4\/(-10)). Let i be 2*(p\/(-6) - -1). Let q(j) = 4*j**3 + j**2 - j. Let l be q(i). Solve 3*z + 1 - l = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*(5 - 2)*-1. Let g be 18 + 45\/15 - 13. Calculate the greatest common divisor of g and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 12 = 2*j. Let a be 246\/j*4\/(-18)*-3. Let p = -36 + a. Solve 4*y - 1 = p*f - 20, 0 = 3*f + y - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -23*o + 98. Determine w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4028 times -0.439\nAnswer: 1768.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-80)*2*5\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82.30846 litres?\nAnswer: 82308.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256171637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 24*n - 39. Let b(k) = 3*k + 33. Let u be b(-11). Suppose 2*o + 4 + 28 = u. What is the tens digit of z(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 704 and 540496?\nAnswer: 2161984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*q**2 - 188 + 188 - 87*q**2 - 84*q**2 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 9:46 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/50056 and -65\/8?\nAnswer: 50056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*l - 815998793 - 559021207. What is l rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 3*m + 3, 5*m + 39 = -4*r - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 7:53 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from {f: 4, j: 3, k: 4, s: 3, h: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39863909\/12 - 3331899. Let y = m + 9899. Calculate the common denominator of 71\/57 and y.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.08? (a) -9 (b) 2 (c) -4 (d) -2\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3 - 65*b + 66*b + 10*b**3 wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1207 divide 18013216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 6*t**2 + 5. Let n be k(6). Suppose -4*p - n = -9*p. Solve -p = u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 43308?\nAnswer: 433080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, -9, -53, -137, -273, -473?\n\"Answer: -2*p**3 - 2*p**2 + 4*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -l + 529 + 1145, -5*s - l - 2782 = 0. Let w = s + 584. Suppose 0 = 6*g - 2*g - 308. What is the remainder when g is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:48 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*v - 22, -2*t + 51*v = 52*v - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-20))\/((-17613)\/1086135).\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 214374011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 24. Let t = z - -9. Suppose t*i - 8 = i. Solve -x - i = 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/44)\/((-27)\/(-18))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q - 21*q**2 + 20*q**2 + 13 + 15*q + 23*q. Let w be (-50 + -1)*(-5)\/15. List the prime factors of a(w).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -0.87 (c) 4\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226630 is divided by 3597?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (151 - 11*y - 151)*(14 + 7 - 20)*(4*y - 4*y + 3*y)*(0 - y + 0) as h + f*y + x*y**3 + j*y**2 and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 962.4362nm in kilometers?\nAnswer: 0.0000000009624362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 456921041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 981352 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(252)*2)\/((sqrt(135)\/sqrt(3))\/sqrt(5)) + 5.\nAnswer: 5 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sznnixnnx. What is prob of sequence sx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - 5. Let v = 0.9 + g. Let y = v - -0.6. Sort y, -4, 2 in decreasing order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:31 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246478 divided by -1.\nAnswer: -246478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3310.1 to the nearest 10.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -841, -1712, -2613, -3544?\n\"Answer: -15*s**2 - 826*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 5 (b) -0.2 (c) 12\/17 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20363.9 - -20363. Which is smaller: v or 246?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/7 + 1469*c**2\/7 + 27768*c\/7 + 17860\/7 = 0. What is c?\nAnswer: -470, -19, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 3*m**2 + m. Let i(p) = -3*p**3 + 3*p. Let u(w) = w**3 - w**2 - w. Let d(x) = -i(x) - 2*u(x). What is 3*d(n) + 2*l(n)?\nAnswer: n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457463 is divided by 457454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*q - d, -d = 3*q - 7 - 4. Suppose 3 = 2*y - k, 5*y + q = -3*k + 2*k. What are the prime factors of 2 - 1\/(-1 - y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + -62. Calculate the greatest common divisor of 126 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 - -5.13. Let j = 27 - 26.87. Let o = j - -1.87. Sort 0, l, o in ascending order.\nAnswer: 0, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*h - 11, -2*h - 6 - 2 = -4*p. Solve -w + 0 = -2*f - 10, h*f + 16 = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g**2 + 5*g**3 - 4*g**2 + 20*g - 33*g. Let c(k) = -k**3 - 2*k**2 + 3*k. Calculate 9*c(p) + 2*s(p).\nAnswer: p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*o = 52*o - 86*o + 12196882. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 62 - -24 - -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6.38 (b) 384 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*l - 2398 = -79*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 5:44 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - j**2 + j**2 + 3*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -161 - -1872?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-222)\/(-18))*1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 2933*v - 2920*v. Calculate the remainder when 347 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/198)\/(55*43\/100620).\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 + 601 + 3*g**2 - 2*g**2 + 612.\nAnswer: g**2 + 1011","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 14) to base 16\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 29*q**2 - 30*q**2 - 138*q + 87*q**2 to v*q**3 + k*q + f*q**2 + p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*p + 3. Suppose 11*w = -4*r + 8*w + 18, p = -5*r - 3*w + 21. Solve -22 + 34 = r*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 72*i - 629. What is the remainder when 567 is divided by u(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017107 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, -7, 5 in increasing order.\nAnswer: -118, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -668*n + 7. Let y be r(5). Let d be -1 + (-3 - y\/(-21)). Let l = -163 - d. Are l and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -20.999946. What is o rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 0*u**3 + 718 + u**3 - 4*u**2.\nAnswer: u**3 + 718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3141*w**2 - 28*w - 11670387?\nAnswer: -6282*w - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000407165 to six decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1782588, -3565178, -5347770, -7130364, -8912960, -10695558, -12478158?\nAnswer: -14260760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1965 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 29*k**4\/6 + 29*k**3\/6 + 18*k. Find the second derivative of c(v) wrt v.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/5 - (-738)\/315. Let p = -8.4 - -5.4. Put p, 1, i in increasing order.\nAnswer: p, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 1\/112*h**8 + 0*h**7 + 0*h**4 + 0*h**6 + 2*h**2 + 0*h**3 + 0 + 1\/60*h**5 + 0*h. Find the third derivative of j(s) wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -3, 17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4.06, 2\/9, 1\/86, -4, 0 in descending order.\nAnswer: 2\/9, 1\/86, 0, -0.1, -4, -4.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24663515?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25*6*(-7)\/(-56). Which is smaller: 19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iliw. Give prob of picking 1 w and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365113 is divided by 8950.\nAnswer: 7113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*b - 39 = 38*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -562 + 564. Let v(s) = -s + 0*s**2 + s**2 + 0*s. Let u(x) = -24*x**2 + 18*x. Let p(k) = y*u(k) + 36*v(k). Let a(h) = h**2. Calculate p(a(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39175 is divided by 786?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290368973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 14 + 2 - 68*t**2 + 14 - t - 29.\nAnswer: -68*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*o + 5. Let h(f) = f**3 - 3*f**2 + 2*f - 4. Let v be h(o). Suppose m = -4*d + 6, 5*d + 0 = v*m + 1. Solve -4*r = -m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38988 divided by 6?\nAnswer: -6498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 3*b + 3. Let x be j(4). Suppose -3*a - k + 0*k = -18, 4*a - 17 = k. Let i = a + x. What is the highest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, f: 1}. What is prob of picking 3 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73850999?\nAnswer: 23, 307, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/14 and 3\/2956253.\nAnswer: 41387542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 9*y**2 - 8*y + 5. Let o be s(-8). Let r = 1277 + -1273. What is the second derivative of o*b + 5*b - b**4 - 7*b**4 - b**r wrt b?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40435\/615986 + 7\/11478. What is the common denominator of s and -41\/42?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h = 9*h - 23*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 0 (c) 2607.1 (d) -2\/7 (e) 0.5 (f) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 40*q**2 + 216*q - 288.\nAnswer: 2*(q - 12)*(q - 6)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q - 15, -17 = -5*o + q. Solve 0 = 5*b - o*i - 10 - 7, -3*b - 3 = 2*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27645763?\nAnswer: 27645763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1.4. Which is the second smallest value? (a) -0.06 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*u**3 + 1870*u**2 + 1853759?\nAnswer: 198*u**2 + 3740*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 214432261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -401 + 20*j**3 + 258 + 58*j**3 wrt j.\nAnswer: 234*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8725082 and 3674?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686978260?\nAnswer: 2, 5, 11, 67, 193, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13047023 is divided by 408?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c - 8 = 0. Let s = -19\/34 + 1\/17. Put 3\/7, s, c in decreasing order.\nAnswer: 3\/7, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 24*a = 24. What is the remainder when 12 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(55) + (sqrt(220) - 2*sqrt(220)))\/(sqrt(33)\/sqrt(27) - sqrt(11)).\nAnswer: 1 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/6)\/n**(3\/25) assuming n is positive.\nAnswer: n**(-43\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 480 = -2*p, -5*p + 1564 - 398 = 4*f. Let k = 239 - p. Solve -k = -3*y - 3*n, y + 2*n = -2*n + 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 22.41679km?\nAnswer: 22416790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*k**3 + 283*k**2 wrt k.\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*l + 872 = 0, 0 = -4*a - 4*l - 157 + 997. What is the derivative of 34*z - 36 - 30 + a - 60 wrt z?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4093 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 d = -225\/328 + 133\/164. Suppose 1\/8*r - 1\/4 + d*r**2 = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871 a factor of 3990843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23209220 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22142 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, c: 2}. Give prob of picking 1 c and 3 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3837 is divided by 441.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1223\/5187 - -2\/399. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1300))*-2)**2.\nAnswer: 80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*b + k - 11, -5*k + 5 = -2*b. Let w(g) = g**2 + 4 + 6*g + 0*g - b*g + 0*g. Determine w(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8752*s + 218853. Determine r(-25).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -15 + a + a**2 - 18 + 34. Let x be ((-88)\/(-110))\/(2\/(-5)). Let y(q) = -2*q + 2. Calculate x*h(n) + y(n).\nAnswer: -2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 18. Let j be x(17). Let y = 1 - 1.1. Suppose -3*i - 1 = 2*d, 0*i = -2*d + 5*i + 23. Which is the nearest to y? (a) 2 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/20)\/2)\/((-88)\/(-55))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -70*c - 44. Calculate r(1).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q - q)*(q + q + 22*q).\nAnswer: 24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxx when three letters picked without replacement from {x: 3, d: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6616134401 to the power of 1\/3, to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -59. What is the lowest common multiple of ((f\/(-18))\/8)\/(1\/(-3)) and (-46)\/(-4) + 5\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 35600?\nAnswer: 35600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 10*h**2 - 9*h - 1. Let b(j) = -j**2 + 6*j + 18. Let r be b(9). What is z(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036537 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/30 + t**4\/12 - t**3\/6 - 3*t**2. Let q be r(-2). Let n be ((-4)\/(-2))\/(-3 - -1). Sort q, 4, n in ascending order.\nAnswer: n, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**3 + 2*d**2 - 8*d - 6. Suppose -12*x = -0*x - 108. Let h(f) = 8 + 9*f**3 - 6*f**2 + x + 15*f + 8*f. Determine -6*h(p) - 17*u(p).\nAnswer: -3*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10\/7)\/((r\/(r*r**5\/r))\/r*r))**(-35) assuming r is positive.\nAnswer: r**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*f**2 + 6*f + 639 wrt f.\nAnswer: 38*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/(-1)*6. Let v = 6 + r. Suppose 3*q = s + 23 - 67, v*q = -4*s + 131. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5633 - 6*z + 5633.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 74 = -2*a + 34, 4*a - 4*q = 232. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 315? (a) -1 (b) 5 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**5\/120 - v**3\/2 - v. Let b(f) be the second derivative of p(f). Let m(g) = g. What is b(m(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 29*r**2 + 3*r + 3. Let h(b) = -145*b**2 - 16*b - 17. Determine 2*h(c) + 11*q(c).\nAnswer: 29*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -26*o + 48. Let m(x) = -9*x + 16. Give 17*m(z) - 6*t(z).\nAnswer: 3*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 50 = 0. Let w = h + -7. Differentiate -4 + o**3 - 2*o**w - 2*o**3 - o**3 with respect to o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22395? (a) 8\/3 (b) 0 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 2*m**2 + m. Let r be n(1). Suppose -5*l - 17 - 8 = r. Put 1, l, 4 in increasing order.\nAnswer: l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*v**3*w**2 - 232*v**3 - v*w + 2*w**2 - 2 wrt w.\nAnswer: 102*v**3*w - v + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + h + 5, -3*k - 54*h = -49*h - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 3914 - 3896 = 0. Let g(d) be the third derivative of -1\/2*d**4 + 3\/40*d**6 - 6*d**a + 0*d + 0*d**5 + 0 + 0*d**3 + 1\/70*d**7. Factor g(n).\nAnswer: 3*n*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2 + -1?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111012 + -102111021110?\nAnswer: -102111202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaaa when four letters picked without replacement from qmfeefffaefafaefeef.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/59 (b) 0.5 (c) -3\/2 (d) 2 (e) -0.3 (f) -23\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 179 = p, 5*p + 257*o + 33 = 260*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsihihhsishiioiiiiis. What is prob of sequence oh?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-24)\/(-140))\/((-3)\/((-1701)\/(-60))) and 51\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5427, -21646, -48655, -86460, -135067, -194482, -264711, -345760?\n\"Answer: -y**3 - 5389*y**2 - 45*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068279437.\nAnswer: 3, 7, 449, 219353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -3036554.\nAnswer: -3036553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14196*c**2*g + c**2 - 56*c*g + 75*c wrt c?\nAnswer: -28392*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 30*s**2 + 41*s - 1. List the prime factors of q(-21).\nAnswer: 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5, -1\/3, 39, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 - -154. What is the smallest value in -5, -0.08, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.074 + -0.074. Let p = -58 + r. Let v = -53 - p. Which is the nearest to 2\/7? (a) 2 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -1301?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5553 is divided by 388.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4\/5 - 158*j**3\/5 - 3513*j**2\/5 - 8434*j\/5 + 12104\/5 = 0.\nAnswer: -17, -4, 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -13158*s + 42. Does 30 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*i + 61 = 3*h, 4*i + 18 = 2*h. Suppose -6318 = -h*y - 1170. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 7 (b) -6 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((50\/(-30))\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41204275 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11176926491 plus 0.073?\nAnswer: 11176926491.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) 31 (d) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-1)\/(-4))\/((-36)\/288))\/(-4001). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91488.94 years in decades?\nAnswer: 9148.894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4904.848 millimeters?\nAnswer: 4904848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1)*(-2 + 2 - 3)*(2*y + 2*y - 5*y) as z*y + x and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 76.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (11 + -5) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/r)\/r**(2\/9))\/(r**(-2)*r\/((r**(1\/4)\/r)\/r)) assuming r is positive.\nAnswer: r**(-251\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14195807*g - 68321750*g - 40206609*g + 8142816*g.\nAnswer: -114581350*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-248820)\/25520*264\/26?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126816 by -31704.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 199*h**4\/12 + 13*h**3\/2 - 29*h**2. Let z be m(4). Suppose 6*u + 533 = z. List the prime factors of u.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*r)*(r**2 - r**2 + 2*r**2) - 14226 + 14226 + 283*r**3.\nAnswer: 279*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42992880001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 2\/((-2)\/107). What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-32)\/20*10\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305886.\nAnswer: 2, 11, 281, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/8 and 99\/4588.\nAnswer: 9176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 + 7*z - 3*z**2 - 3*z**2 - 3 + 1 to the form j*z**2 + v*z + n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 53.15?\nAnswer: 212.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91596477*j**2 - 170102886*j wrt j?\nAnswer: 183192954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -70, -210, -478, -916, -1566, -2470?\nAnswer: -3670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and 400.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kppppqk. What is prob of picking 1 p, 1 q, and 1 k?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b - 5. Let j(s) = 37*s - 25. Let d(r) = -9*r + 6. Suppose c = 3*i + 2*c + 23, 4*i = -4*c - 20. Let t(o) = i*d(o) - 2*j(o). Give 6*a(z) - 7*t(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11\/m)\/m*m**22*m*((m**(-12)*m*m)\/m)**(-18) assuming m is positive.\nAnswer: m**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27111*a*o**3 + 2*a*o*u + 2*a - o**3*u - 2*o**3 - 2385*u wrt u.\nAnswer: 2*a*o - o**3 - 2385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 161*i\/6 + 20\/3.\nAnswer: (i - 40)*(4*i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {p: 9, n: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**2. Let b(u) = 27*u**2 - 54. Let s(g) = -g**2 + 1. Let h(d) = b(d) + 54*s(d). Give h(x(p)).\nAnswer: -972*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 17, 3 in ascending order.\nAnswer: 3, 17, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253996386 divided by 395633.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 8. Let s be -3*28\/12*3. Let l = 57 + s. Suppose m + 5*m = l. Give f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.002. Let s = 0.1 - 0.05. Let m = w - s. Round m to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-290))\/((736\/115)\/32)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*u - 134, -6*u - 4*t + 132 = -2*u. Suppose 160 + 30 = 2*m. What is the greatest common factor of m and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 65 = 3*w, 2*w - z = 5*w - 61. Let o = w - 6. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 13*x + 7. Suppose 61 = 5*s - 4*b, -3*s + 19 = 5*b - 25. Let l be w(s). Solve 3 - l = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 23 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 575\/(-20) - ((-2987)\/(-116) - 27).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.013.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 6. Let j be m(-8). Suppose -13 = -4*g + g - 5*o, -4*g - j*o = -22. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 17. What is the tens digit of s(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13173.\nAnswer: 3, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 255*l**2 + 7875*l + 59625.\nAnswer: -(l - 795)*(l + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 864868778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85859*j**6*p + 15*j**2*p - 7*j - 307*p wrt j.\nAnswer: 10303080*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 - (-2)\/(-8). Suppose -4*h - 11 = -a*h + 3*z, 3*h = 2*z + 13. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = n - 4*p, -2*p - 30613 = 5*n - 30559 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -202*o + 58*o + 2700*o**2 + 142*o in the form z + s*o + b*o**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16169 = -16*i + 136359. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m + 3120 - 2886. Let q(f) = -f - 25. Calculate q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bef0 + 4?\nAnswer: 1bef4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 13*t + 2 = 8*t, -6 = -3*a + t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*c - 28, 4*o = -2*c + 4*c. Let u(n) = -n**2 + 462217211 - 462217211. Let s(k) = 5 - 3 - 3. Determine o*s(h) - 3*u(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**40*n\/n**(2\/125))\/(((n\/n**(4\/33))\/n*n)\/(n*n\/(((((n*n**(3\/4))\/n)\/n)\/n*n)\/n))))**(-23) assuming n is positive.\nAnswer: n**(-16453303\/16500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4595 or 6419?\nAnswer: 6419","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1078.4 + 1078.399964968. What is x rounded to seven dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-16)\/(b**(1\/5)*b))\/(b\/(b**(-1\/3)*b))**(-2\/73) assuming b is positive.\nAnswer: b**(-18824\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*k**4 - 190*k + 190*k)*(-2*k + k - k).\nAnswer: -242*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 586*v**2 + 14*v - 8. Let o(w) = 2*w**3 - 587*w**2 + 18*w - 10. Give 4*o(y) - 5*x(y).\nAnswer: 3*y**3 + 582*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/22 and 53\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b + 140 = 0. Let l be b\/(-25) - (-3)\/15. Solve -4*a + 19 = -5*i, 0 = l*a - i + 5*i + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115254.36 months to years.\nAnswer: 9604.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 - 4*i + 4. Let v(m) = -6*m**3 - 5*m + 5. Let w be 0 - (-2 - 1) - -2. What is w*h(d) - 4*v(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 57723148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171651623 to the power of 1\/2, to the nearest integer?\nAnswer: 34229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -11*u + 9*u + 3*v, 5 = 4*u - 3*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3811 = -72*p - 214*p - 1909 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 89. Let m be (a\/12)\/(4 - 475\/120). Find the second derivative of 7*z + m - 5*z**4 + 2*z**4 - 78 wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69809722 to the power of 1\/2, to the nearest integer?\nAnswer: 8355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 - 374\/14. Let c = s - -49. Suppose 14 = k - y, -k - c = -3*k - y. 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 408 minutes before 6:12 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*q + 6 = 0, 35 = -5*q + 55. Calculate the smallest common multiple of 20 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89804.7ug to kilograms.\nAnswer: 0.0000898047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - a + 157 = 0, 0 = -3*q + 4*a + 72 + 41. Calculate the remainder when 121 + (-16)\/4 + -1*(1 + 1) is divided by q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91249261 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4530475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*1)\/((sqrt(96) - 3*sqrt(96))\/sqrt(8)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 16, -6, -46, -110, -204, -334?\n\"Answer: -t**3 - 3*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -33422200?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 2*c - 1. Calculate the remainder when (900\/(-200))\/(18\/(-8)) is divided by q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 4. Let i = k + 1. Let d = 0.7 + i. What is the nearest to -2\/5 in 1\/2, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w - 86 + 9 + 3*w**4 + 7*w + 2*w**3 + 0*w**3 + 8*w**2 - 10*w**2 to the form u*w + r*w**2 + v*w**4 + g*w**3 + o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/30 - (-129)\/15. Let h(l) = l**2 - 8*l + 1. Let o be h(b). Solve 5*d - 3*d = -o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 820*w. Let c(b) = -b**2 + 6*b - 4. Let v be c(5). Let x be j(v). What is x rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/20*135\/36)\/(-1)*(-120)\/36.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 88 - 908. What is the remainder when z is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157940*t + 9 = -2*a - 157943*t, 34 = 3*a - 5*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*n = 274*n + 48. Let s be (-34)\/(-9) + (-4)\/(-18). Let w(v) = -6 + v**3 + s*v**3 - 6*v**2 - 4*v**3. Give w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812305?\nAnswer: 5, 13, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*q + w - 19 = -205*q, -5 = -4*q - 7*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q - 86 = -94 + 178 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34724348 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3928*f - 636333. Determine h(162).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465730435?\nAnswer: 3, 5, 7, 1877, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 214*j + 2. Determine z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6309 or 50463\/8?\nAnswer: 6309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1969647249 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 34. Let q(x) = -x**3 - 4*x**2 + 1. Give q(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 - c - 1. Let g be p(-3). Let n = -37 - g. Suppose -n*d = -4*d - 252. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Let l(o) be the first derivative of -11*o**4\/4 - 2*o**3\/3 + o - 65. Give l(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t**2. Let a be x(2). Calculate the greatest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:28 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 6*v**2 + 4. Let s be u(6). Let d be ((-2)\/24)\/((-18)\/(-1053)*13). Put s, d, 1\/2 in decreasing order.\nAnswer: s, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0481 and -3?\nAnswer: 3.0481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 660348546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36*-6461\nAnswer: 232596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/902 and -51\/6314.\nAnswer: 6314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153*x**5 + 6*x**3 - 15615*x wrt x?\nAnswer: 3060*x**3 + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42861 and 70434?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (-3*(2 + sqrt(75)) + sqrt(75) - 2*-1*sqrt(75))**2 + 2)*-6.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3))**(-47)*((n*n\/(n*(n\/(n\/(n\/n**(-7))*n))\/n*n*n))\/n)\/n**(-6))**(-1\/16) assuming n is positive.\nAnswer: n**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22035013, -0.5, 0.4 in increasing order.\nAnswer: -22035013, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 31*f**2 + 5. Let m be b(5). Let d be m\/(-2)*8\/8. What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 41001110?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12168632 and -103\/32004.\nAnswer: 109517688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143\/45 - -17\/5. Let y be 10*987\/9450 - 3\/5. Factor y + i*f**4 + 2*f**2 + 10\/9*f**3 + 14\/9*f.\nAnswer: 2*(f + 1)**3*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-13)\/f)*f**(-1)*f)\/(f\/f**(-1\/3))**(5\/3) assuming f is positive.\nAnswer: f**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - o - 2*o)*(-89*o - 179*o + 93*o + (-o - 2*o + 2*o)*(2 + 0 - 5)) to h*o + t + v*o**2 and give v.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/30498432 and -121\/36?\nAnswer: 91495296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2792 (base 13) to base 14.\nAnswer: 847d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dftj when four letters picked without replacement from ttjfffjjdf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -3, 3 in increasing order.\nAnswer: -75, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10*-139\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 0*j - 3*j - 3*j + 2*j - j + (0 + 0 - 2*j)*(-3 + 2 + 3) + (-j + 2*j + 3*j)*(-4 + 1 + 2) - 3*j - j + 3*j + 4*j + 0*j - 2*j to r*j + m and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/9)\/u**4*(u*u**3*u)**(2\/75) assuming u is positive.\nAnswer: u**(-184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -240 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 10291 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 5. Let o(j) = -45*j + 3. Let r be o(w). Let m = r - -837\/4. Calculate the common denominator of 59\/6 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {y: 1, u: 1, l: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -400*a - 79*a**2 - 76*a + 77*a**2 - a**3 in the form u*a**2 + f*a**3 + y*a + n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 486 = 4*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttftefeefevtjeftttf. What is prob of picking 1 t and 1 f?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - z - 39*z + 0*z**2 - 4*z**2.\nAnswer: -4*z**2 - 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 10, -2.2, -2, -0.08, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 101. Let w = 7 + 0. What is the highest common divisor of w and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7635, -7632, -7627, -7620, -7611, -7600?\nAnswer: -7587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (35 - 45) + (41 - -7) + -7?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -141, 34, 5, 0?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 698 * -66.\nAnswer: -46068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275 (base 8) to base 9.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h)\/h*h*h**(-10)*(h**(1\/2)\/h)**(4\/9) assuming h is positive.\nAnswer: h**(-128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 22. Let k be l(-12). Let r(y) = -y**k - 230 - y - y**3 + 127 + 126. Give r(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 720*u - 10720. What are the prime factors of a(83)?\nAnswer: 2, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365603 (base 11) to base 16.\nAnswer: 8d34f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 74?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 47*f - 49*f + 3*z, -5*z - 6 = 3*f. Let p(x) = x + 10. Give p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1936, -7701, -17310, -30763, -48060?\nAnswer: -69201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 7, r: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -178415, -178406, -178371, -178292, -178151, -177930, -177611, -177176?\n\"Answer: 3*i**3 - 5*i**2 + 3*i - 178416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65\/101243 or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -13. Suppose 0 = 4*t - 2*t - 134. Suppose -16*q + 467 = t. Calculate the remainder when q is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 954560 - -0.1766908024.\nAnswer: 954560.1766908024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (3 - 32) + (74 - 59)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -58*c + 604. Let n be a(12). Is -90 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 23. Which is the nearest to u? (a) -5 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-15) + 2)\/((968\/770)\/(-44)). Put g, -681, -4 in ascending order.\nAnswer: -681, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274377 is divided by 204.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 4 + sqrt(68))*-1)**2 + 3 - 3*(2 + sqrt(153) + 3).\nAnswer: 23*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1157224*t - 890283?\nAnswer: -1157224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, 5, -5, 0, 0.744, -3\/8, 0.5?\nAnswer: 0.744","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 22\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**3\/3 + 63*a**2\/2 + 32*a. Let d be t(-15). Let w be 4\/6 - (-77)\/d. Solve 0 = i + 3*k + 5, w*k + 2*k + 7 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-9)\/5)\/((-8)\/(-110)) and (-2)\/(-6)*-15 - 748\/(-120).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18 + -0.68. Sort x, -3\/2, 5 in decreasing order.\nAnswer: 5, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 4 - 11) + 1 + 3 + -339 + 363?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 290030 to the nearest 1000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 7. Let p = 6 + k. Sort -3, p, 5.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71552 (base 14) to base 2\nAnswer: 1000010100101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 5*y**2 + 21*y + 74. Let s be a(-8). Calculate the greatest common divisor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t. Let b(o) = -o. Let q be b(-2). Let i(z) = -3*z**3 + 5*z**2 + 3*z - 6. Let a(r) = q*x(r) - i(r). What is a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) -290 (b) 3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24032726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -741 + -659. What is h rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236633757 divided by -2?\nAnswer: 236633757\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 294.5*-1.356\nAnswer: -399.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2101733184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7371 - -7396. Solve 3*l - 5 + 18 = -i, -5*i - c = 5*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/((-285)\/10))\/((-6)\/18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = -11*q + 396, -218932*q - 36 = -l - 218931*q for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1))**(-9\/5)\/(z*z**(-1)*z\/(z**5*z*z))*((z\/z**(-2\/11))\/(z*z**2*z*z))**(2\/21) assuming z is positive.\nAnswer: z**(62\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, 0.3, 3 in descending order.\nAnswer: 138, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 347027*g**6*p + 7*g**6 - 2391056*g**2*p wrt g.\nAnswer: 41643240*g**3*p + 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -17*b - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.66 + 0.14. Let o = d + -51. Let f = 11.79998 - o. Round f to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.0693 + 42.73. Round g to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3) + (3 - 5). Let r(s) = -2*s + 2*s**2 + 0*s - 1 - 4 + 3*s. Is r(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5\/3 + 10*i**4\/3 - 860*i**3\/3 + 1670*i**2\/3 - 275*i = 0.\nAnswer: -15, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1178*h = 1198*h - 280 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 - 10*q**2 - q - 11. Let l(g) = -g**3 + g**2 + 1. Let c(s) = -i(s) - 6*l(s). What is the units digit of c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784 is divided by 357?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667925?\nAnswer: 3, 5, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 95. What is the units digit of (-8)\/14 - t\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 998*k*r**3*y - 32*k*r**3 - 444*k*r**2*y + k*r*y - 3*r**2 - 8*r*y wrt r?\nAnswer: 5988*k*y - 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -161*k**3 + k**2 + 11*k - 1736.\nAnswer: -483*k**2 + 2*k + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35919 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = n - 13388, 0 = -2284*j + 2280*j - 2*n + 17854. What are the prime factors of j?\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -205355398*t**2. Let o(i) = -2*i. Determine z(o(k)).\nAnswer: -821421592*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -43 - 71. Let f = -1167 - -1186. What is the highest common factor of f and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 - 146. List the prime factors of (-6 + 90\/s)*174.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.8 + -3.8. Put h, -2\/7, 5 in decreasing order.\nAnswer: 5, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*y - 99, 141 + 28 = 5*y + 3*t. Let i be (3 - -1*15)*y\/6. Calculate the greatest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w + 4*v - 26, 3*w = -3*v + 6. Let a be 5 - w*1\/(-1). Solve 4*r - a = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + 2\/(5 - 4). Suppose 3*t - 333 = d*t. Let x = -32 - t. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67122973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 53) + 0 - (5 + -41 + 15 + 12)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 16*k - 107. Let d be c(-20). Which is greater: -829 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -410416 * -1.664.\nAnswer: 682932.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/9 (c) -1\/4 (d) 3112 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1408, 2794, 4178, 5560, 6940, 8318, 9694?\nAnswer: 11068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + sqrt(75) + sqrt(75) + 0)**2 - sqrt(12)\/(sqrt(36) + sqrt(4) - sqrt(4))) + 4*sqrt(18)\/(sqrt(30)\/sqrt(5)).\nAnswer: 11*sqrt(3)\/3 + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2257\/11 - 205. What is the closest to -0.2 in 0.2, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -48 (c) 6\/11 (d) 2\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -1039, -1810, -2891, -4282, -5983, -7994?\nAnswer: -10315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(-35) - (-221 - -221). Let c = 8 + -12. What is the smallest value in b, -40, c?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474924?\nAnswer: 2, 3, 19, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122102202000 (base 3) to base 4.\nAnswer: 1103302002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2030 - 35002004?\nAnswer: -35004034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -770*k - 3825. What are the prime factors of i(-42)?\nAnswer: 3, 5, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + -3*sqrt(133) + sqrt(133))*-2*-1)\/(sqrt(84)\/(-2*sqrt(1200))).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 92257?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4 = -2*k, 15 = -4*k + 2*v + 13 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Let s be (284\/x)\/(1\/(-10)). Let y = s + 2807\/5. Calculate the common denominator of -69\/10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -2\/1699, 8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + 215*g**2 - 236*g**2 - 49 + 52 to p + j*g + y*g**2 + l*g**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 18*o = 21*o - 6, -5*h - 4*o - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from npprprnprrn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1550742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 9532*u**2 + 7*u**3 - 3*u - 9*u**3 - u**3.\nAnswer: -3*u**3 + 9532*u**2 - 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 7*y**2 + 19*y - 1. Let x be c(9). Suppose 0 = s - 5*s - x, -4*n = -s - 2. Solve p + n*p - 5 = 2*l, 0 = -2*p + 3*l + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-d + 4*d - 4*d)*(1 + 2 - 1) + 0*d + 5*d + d)*(2 - 3 + 3)*(6*d**2 - 3*d**2 + d**2) as r*d**2 + o*d**3 + g + b*d and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-22)\/(-3)*(-6)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n + 10. Let a(x) = -2 + n + 14*x**2 - x**2. Let t(j) = -2*j. Give a(t(c)).\nAnswer: 52*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -10, -11, -12, -13, -14?\n\"Answer: -l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f - 1. Let v(m) = -11*m - 3. Give -2*v(o) + 5*w(o).\nAnswer: -8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -b55 (base 12) to base 13\nAnswer: -99b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/860148 and -7\/219?\nAnswer: 62790804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/5 - 2*t**3\/5 - 883*t**2 - 97968*t\/5 + 462384\/5 = 0?\nAnswer: -39, 4, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 1. Let d(v) = 2*v - 3. Calculate -4*d(p) + 9*i(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 697, 701, 703, 703, 701?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 431*t - 6170*t + 32 + (1 - 1 + t)*(-1 - 1 + 1) as k*t + l and give k.\nAnswer: -6602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 589860 and 33900?\nAnswer: 2949300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose -n + 5*x = -p*n + 234, -4*x = 2*n - 236. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*x - 5*j - 1, -x + 6 = j. Suppose -y - 4*l - 59 = 0, 2*y - 13 = -x*l - 119. Let p = -40 - y. Solve -4*z + p = -1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121051 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 1469\/9. Let z be (1044\/(-435))\/((-6)\/(-10)). What is the second biggest value in h, z, 0.07?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - 13) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 832 and 368?\nAnswer: 19136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749989.2l to millilitres.\nAnswer: 749989200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(136))\/(sqrt(32)\/sqrt(4)) - ((sqrt(2057) + -2*sqrt(2057)*1)*3)**2.\nAnswer: -18513 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*a - 255 = 0, -51*w - a = -55*w + 519. Calculate the greatest common factor of 320 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*-1)\/(4060\/14210).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531780?\nAnswer: 2, 3, 5, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -358\/105 + 59\/21. Which is the third smallest value? (a) p (b) 205 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01763919 * 1.7.\nAnswer: -0.029986623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*((-3 + 4 - 3)*(-4 - i + 4) + (4 - 4 + 1)*(-4*i + i + 4*i) + i + 2*i - 2*i - i + i + i + 0 + 0 + 2*i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 8, 66481 in ascending order.\nAnswer: 8, 34, 66481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 458157517 a multiple of 1808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11318, 45320, 102006, 181376, 283430, 408168, 555590?\n\"Answer: 11342*w**2 - 24*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*b, -16*b - 2 = -15*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -92, 3, -4, 1.\nAnswer: -92, -6, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*j + 4*c, c + 1 = -4*j + 7*j. Let p = 0 - -6. Let h be 26\/p + 2\/3. Solve -j = -t - h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(12\/(-3)) + (-6)\/(-2). Suppose x*l - 5*l + 785 = 0. Suppose -6*k - 2*d + l = -k, 3*d - 21 = -k. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50394 divided by -25197?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 10*g**2 - 11*g - 1. Let u be y(-11). Is 22 a factor of (-2)\/(-4*u\/(-482))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 + 109*b**2 - 106*b + 28. What is the remainder when p(-37) is divided by 156?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j*w**4 + 380*j*w - j - 17*w**5 - w**3 wrt w.\nAnswer: 60*j*w**2 - 340*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 2907 - 9*l**2 + 2908 - l**3 - 5859 + 21*l. Calculate p(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3181, -1, -173, 0 in decreasing order.\nAnswer: 0, -1, -173, -3181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 123257\nAnswer: 44\/123257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30649*z**3 + 36622.\nAnswer: 91947*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f + 15. What are the prime factors of v(8)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 + -2. Let a(q) = -3*q**2 - 26*q - 51. Let f be a(-3). What is the nearest to f in 14, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 28 - 11*a + a**2 + 2*a - 6. Let c be s(6). Let i(t) = t**3 - 5*t**2 + 4*t + 5. What is i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkkkkbkkbbkbb. What is prob of picking 2 k and 1 b?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*y + 1 + 6, 0 = -g + 4*y + 17. Suppose -4*j = -2*j + 2, 0 = -g*r - 4*j + 1496. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5. Suppose w = j - 50 + 6. What is the remainder when j is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 11*m**2 + 249*m - 326. What is i(-15)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 + g**2 - 3*g - 4*g. Let o(p) = 2*p**2 - 2*p. Let r = 129 - 127. Let n(t) = r*c(t) - 7*o(t). Let f(v) = -14*v**2. What is n(f(q))?\nAnswer: -392*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 3*g - 2. Let o be w(7). Let t = -42 - o. Let c = t - -14. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnhwqwhyqdh. Give prob of sequence nqw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**2\/2 - 5. Let v = 21 + -15. What is the units digit of s(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2054, -2051, -2046, -2039, -2030, -2019?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19984*l - 9976*l + 34*l**2 - 10008*l.\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101110*d**2 - 585 + 101108*d**2 + 585.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9586.86673 + -9587. Round l to 3 dps.\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -24*i**2 - 120*i - 119. Let l be f(-1). Sort l, -3, -2 in descending order.\nAnswer: -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 50240*h + 703752.\nAnswer: -2*(h - 14)*(h + 25134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*d**2*f**2*i + d**2*f*i - 2*d*f*i + f**2*i - 39*f**2 - 2 wrt d?\nAnswer: -32*f**2*i + 2*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 73. Let x be (425\/(-40))\/5*z. Calculate the greatest common divisor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7840029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -59*(-6 + 2*((-5)\/10 + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(26\/6 + -4). Let g(h) = -5*h + 6 - 2 + h**2 + 2*h**3 - 2*h**2 - 10*h**2 + 5*h**2. What is the tens digit of g(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = 0, -4*o + b - 29 = -0*b. Let k(h) = h**2 + 7*h - 6. What is k(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5992943237 to the power of 1\/2, to the nearest integer?\nAnswer: 77414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2308894 and 14774.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1732 + 1760. Let w = 0 - 0. Suppose w*s + 84 = 2*s. Calculate the greatest common factor of s and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14615050*j**2 + 1 + 1 - 2.\nAnswer: 14615050*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-96))\/(20\/(-6)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**5 - 2818*s**4 - 5*s**3 - 876*s**2 - 10*s - 10 wrt s?\nAnswer: -300*s**2 - 67632*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 0 + -14 - (-12 + 69 + -7).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 6*z - 7 - 2*z**2 + z**2. Let o be f(-9). Suppose 2*v + o = 7*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1500 - 300 = -4*s. Let n = s + 563. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 422 - -3115522?\nAnswer: 3120344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 421938066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1202 and (7 + -9)*1\/(14\/(-77))?\nAnswer: 13222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1 + (-7)\/2*-2 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 977 + -569. Does 51 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i - 2. Let u be 32\/(-14) - 1 - (-6)\/21. Determine p(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 81, 78, 73, 66?\n\"Answer: -r**2 + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aftkm. What is prob of picking 1 f and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.81368ml?\nAnswer: 0.00981368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krxhnxf. What is prob of picking 1 x and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102167207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/5478 and -79\/87648?\nAnswer: 87648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*y + 5*y = -114, 5*k + 4*y - 608 = 0. Suppose 3*l - 292 = h - 3*h, l - 5*h - k = 0. Suppose -3*o + l = o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1) - (198 + -200). Solve -5*p - 16 = 2*r, -47*p = -46*p + k*r + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2. Let o(q) be the second derivative of -8*q**3\/3 + q**2 + 3*q + 2. Give o(c(m)).\nAnswer: 32*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037524?\nAnswer: 2, 259381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 0.2, -0.1 in increasing order.\nAnswer: -0.1, 0.2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c, -3*c = -2*t + t + 26. Let h = 66 - t. Let n = h - -6. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2\/3 + 12256*s\/3 - 4904\/3.\nAnswer: 2*(s + 1226)*(5*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1071, -4512, -10263, -18336, -28743, -41496, -56607, -74088?\nAnswer: -93951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1235 - 64701*t**2 - 1235.\nAnswer: -64701*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/12 + 11*a**3\/6 - 13*a**2\/2 + 2*a. Let g be v(9). Let l(n) = -n**2 + 5*n - 6. Calculate l(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 2*n**2 + 42 - n**3 - 120 to the form d + p*n**2 + u*n**3 + f*n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*q + 17, -2*g = -7*q + 3*q - 66. Let p = 120 - 51. Let n = q + p. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 161, 565, 1241, 2189?\n\"Answer: 136*w**2 - 4*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 0*b**2 + 4*b**2 - 4*b**2 + 8*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1114*s**2 - 757*s - 21. Is t(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = -4*t, -2*c = c - t - 1. Suppose b + b - 3*n = -2, 2*n = 3*b - 2. Suppose -1 + c - o**2 + b*o**4 - o**2 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11243 + -3221?\nAnswer: -20014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418085, -837436, -1256787, -1676138, -2095489?\nAnswer: -2514840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 - 23 + 23)*(-r**3 - 2*r**3 + 4*r**3) - 9*r**2 + 9*r**2 + 6*r**5.\nAnswer: 13*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 99.4086 years?\nAnswer: 1192.9032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.813597505 to two decimal places.\nAnswer: 18.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -138f4e - -4?\nAnswer: -138f4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 21*k + 545. Calculate the remainder when u(-23) is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5 - u**3 - 16 - 6*u + 6 + 0*u**2 - 6*u**2. Let j be w(-5). Solve j = -0*s + 7*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 - 190.857. Let r = d + 7.857. Put r, 1\/3, -4\/9 in decreasing order.\nAnswer: r, 1\/3, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, q: 3, w: 7}. What is prob of sequence qqcc?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28600, -26701, -24802, -22903?\n\"Answer: 1899*w - 30499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3) + (-10)\/(-8). Let l be ((-94)\/(-90) + -1)*5. Which is the nearest to k? (a) 5 (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3 + 31\/6*x - 1\/6*x**2.\nAnswer: -(x - 32)*(x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:44 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 17 = 35. Is 26 a factor of i\/(-4) - 4303\/(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = -10, -28*r - l = -27*r - 12 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -714, -1603, -2848, -4449, -6406, -8719?\nAnswer: -11388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78, 73, 66, 57?\n\"Answer: -u**2 - 2*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18078*y = 18097*y - 38 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0) + 1\/1. Suppose 3*q - 6*q + 33 = 3*j, -3*q + 27 = 5*j. Suppose -q = -2*b - u*b. What is the smallest common multiple of b and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 153449?\nAnswer: 3\/153449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**2\/2 - 101. Let c(q) = q - 4. Let s be c(3). Let m(y) = -7*y. What is s*m(a) - 6*i(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16072*r - 26917 with respect to r.\nAnswer: -16072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) 0.12 (c) -0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-15)\/(1275\/(-68))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 320003917 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.4 + -1.4. Let k = 3 + 2. Let q = 677 - 676. Which is the closest to -0.1? (a) t (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-165)*(-10)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3\/7 + 204846*u**2\/7 - 5244928182*u\/7 - 15736628214\/7 = 0.\nAnswer: -3, 51213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3355 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 94089.33 centuries?\nAnswer: 112907196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45.9904 milligrams?\nAnswer: 45990.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -147577092 divided by 946007?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -7, -4, 0, 14 in descending order.\nAnswer: 42, 14, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 97120\/153 >= 635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*(105\/20)\/(-7). Let b(g) = g**3 + g**2 + 2. Let k be b(0). Calculate the highest common divisor of v and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**2 - 3*v + 4. Suppose 6*a - 56 = -2. Let o(y) = -13*y + 7. Let h(w) = a*u(w) + 4*o(w). What is h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + 7 + -6 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 117 = -i - 5*k, 0 = 3*i - 4*k + 2. Solve -8 = -x, 5*z + 15*x - 40 = i*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 9*k - 3*k + 8*k - 48, 15*k = -29*f + 20*k + 242 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*k + 788 = -886 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 19*f**2 - 33*f + 14. Give b(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -129542693 and -129542692 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - 2 - b**3 + b**3 + 2*b**4 + (34*b - 34*b - 11*b**2)*((3*b**2 + 0*b**2 + 2*b**2)*(-3 + 2 + 2) - b**2 + b**2 + b**2).\nAnswer: -64*b**4 - b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -38, -2\/9, 28, -9\/22?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0 - 1\/6*a**3 + 4*a + 0*a**2. Let y(j) = -2*j**2. Give v(y(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89182 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.028 and -16.378791.\nAnswer: -16.350791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 7:33 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 61*u**2 + 3*u + 1. Let v(s) = 184*s**2 + 10*s + 4. What is -7*f(i) + 2*v(i)?\nAnswer: -59*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**2 + 36*x**2 - 15*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1765, 0.2, 1.6, 14.\nAnswer: -1765, 0.2, 1.6, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 31*l + 1271. Let o be f(-40). What is the highest common factor of 124 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + 17?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 44*g + 23*g + 36*g. Let u be (-3)\/9 + (-48)\/(-9). Solve -2*r + 3 = 5*l + 2, -u*l - r = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*(q*q\/(q\/(q**(4\/9)*q)*q)*q)\/q))\/(q**(1\/13)\/q)*q*q\/q**(1\/2)*q**(-24) assuming q is positive.\nAnswer: q**(-5621\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34437872 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -13055d8?\nAnswer: 13055dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 - -197. Suppose 2*j = s - 15 - y, -4*s = 4*j - 236. What is the highest common factor of s and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*r - 205 = 3*n, -3*r - 207 = 5*n. Let x = -27 - n. Calculate the remainder when 43 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 376033305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-18) + 13\/(-18))*-34. Calculate the highest common divisor of 527 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + sqrt(1053)*1 + 2)*-1 + (sqrt(1053) + sqrt(1053) + 2 + 1 - ((sqrt(1053) + -2)*3 + sqrt(1053) + sqrt(1053) + sqrt(1053))))**2*5.\nAnswer: -3780*sqrt(13) + 189785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259751, -519503, -779253, -1039001, -1298747, -1558491?\nAnswer: -1818233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -61054?\nAnswer: 61061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 21*o + 13*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60841679 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-54)*(-4)\/(40\/6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, y: 1, o: 2}. Give prob of picking 1 c and 1 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.04 (c) 1 (d) -133022 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59814557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 20*z**3 - 3*z**2 - 2*z. Let i = 1060 - 1061. Determine q(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0*f - 6*f - 3 + 2*f. Suppose -4*g + 8*g + 28 = 0. Let l = 5 + g. Determine c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10115.962 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 5)*(z - 4*z + 0*z) + 2*z + 64 + 85 - 170 to x + f*z and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 5. Let a(k) = -2*k. Let l be a(-10). Let w = -15 + l. Let c(d) = -d - 4. Calculate w*q(u) - 6*c(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/8 of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/595 + 387\/255 - (-2 + 3). Which is the closest to 0? (a) 0.1 (b) 1.231 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1281 and 158.15?\nAnswer: 20.259015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -1076 in ascending order.\nAnswer: -1076, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1294.\nAnswer: -3\/1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11618*r**3 - r**2 + 4*r + 3857845 wrt r.\nAnswer: -34854*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let i be v(4). Suppose -3 = -0*d - d, -c = i*d - 15. Find the common denominator of c\/6 + 47\/(-3) and -44\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + 1?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = u, -27*u - 4*s = -25*u + 16. Solve u*l - 7*l - 10 = -3*j, l = -j + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3*s - 3*s)*((27*s + 3*s**2 - 27*s)*(6*s - 4*s + 3*s) - 2*s**3 - 3*s**3 + 4*s**3).\nAnswer: 14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, t: 9, i: 1, y: 7, x: 1}. What is prob of sequence ixtg?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:38 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g - 45 - 5\/4*g**2.\nAnswer: -5*(g + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17*a**2. Let v(f) = 2*f**2 - 6*f**2 + 6*f**2. Calculate u(v(o)).\nAnswer: 68*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551895013 to the power of 1\/2, to the nearest integer?\nAnswer: 59598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = -0*s. Let o be 1\/2 - 6\/s. Let x be o*(-8)\/(-4) + 2. Let j(n) = n + 5. What is j(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-60))\/((-1)\/3). Let m = k + 3\/35. Let i = -1 - -2. Is m not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/4)*v*(v\/v**10)\/v)**(2\/95)\/((((v**(-1\/2)\/v)\/v)\/v**(2\/11))\/(v\/((v**(-1\/4)*v*v)\/v)*v*((v*v**(3\/7))\/v)\/v)) assuming v is positive.\nAnswer: v**(93551\/29260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 9, k: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*i - 75*i - 5*t + 20 = 0, 0*i + 0*i - 2*t = 10 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l*y**2 - 2*l*y + 9*l - 9*y**4 wrt y?\nAnswer: -14*l - 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000 + 11?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -518, -1700, -3998, -7784?\nAnswer: -13430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7360 and 8529320?\nAnswer: 68234560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*71936\/20232\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-10) + 84\/15. Let p = q - 3. Let w(g) = -g**2 + 3*g - 4. What is w(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 35, 39, 0, -4.\nAnswer: -15, -4, 0, 35, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6*x + 6. Let v be (-1)\/x + (-7)\/(-2). Let w be v\/(-8) - (-27)\/8. Solve 3*q = 7*q + w*y + 16, -3*q - 12 = 4*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 13 + 88 = 0. Calculate the greatest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*m - 20 = -105*m. Let y = 42 - 42.44. Let q = -0.74 - y. Which is the closest to -0.1? (a) m (b) 7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2229 = 3*a - n, -2*n - 3719 = -5*a. Suppose -v + a = 54. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85251 is divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/7 and 20\/469.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from lljlbllbjabbjbw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*p + 89*p - 3 = -r, -3*r + 4*p = 10. Let b(v) = -56*v - 20. Give b(r).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2902*(-3)\/(-4) - (-9)\/18. Suppose 580 + p = 3*b. Suppose 5*w = 4*t + 6410, -t + b = 3*w + 2513. Round t to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8984 + -9013.656. What is a rounded to 0 decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11642464.69999996 - -11642462. Let b = -2.7 - m. What is b rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8671 + -8669. Sort 6, -0.3, -0.1, b, 3 in decreasing order.\nAnswer: 6, 3, b, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 - 162 = 3*j - 4*d, 0 = j - 70*d - 1071. Suppose -150 + 27 = -b. What is the remainder when b is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2*-4)**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-40)*a*(a*a**(4\/15)\/a)\/a*a)\/((a\/((a*a\/(a*a**(-7)))\/a))\/a)**(-29))**(11\/4) assuming a is positive.\nAnswer: a**(-19943\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.393 - -0.047. Let p = -10 - -12.2. Let a = w - p. Round a to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 b when three letters picked without replacement from zzbhbzzzzzzhhzzzzz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/17, -5, 0, -1\/2, -2\/223, 253?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*a + 57*a - 3040. Let y = -1343 - a. What is y rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 6*r. Let b(k) = -131 + 67 + 7*k**2 + 64. What is b(c(s))?\nAnswer: 28*s**4 + 168*s**3 + 252*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**0)\/v)\/v**1)**(-9\/5)\/(((v*v**(-1\/3))\/v**(1\/11))\/(v**(-2\/3)*v**(2\/7))) assuming v is positive.\nAnswer: v**(974\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.02 - -113.02. Let n = v + -113. Suppose 16 = 3*h + 4. What is the fourth smallest value in h, 2, n, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(112)\/(sqrt(4) + sqrt(24)\/sqrt(6)))\/sqrt(4).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -5 - -12) + 6 + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 + 4*a + 1. Let u be o(-5). Let h be 154\/66 - ((-1)\/(-1))\/3. Solve h*l - u = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 10 - 65*d as s*d + w and give s.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.664155912 to 3 decimal places.\nAnswer: -3.664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 7 + 8 + 0*l**4 - 3*l**4 in the form z + f*l**4 + w*l + g*l**3 + o*l**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3953 - -8870. Suppose -22*x = -11*x - v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13171 and -28.4.\nAnswer: -374056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - p + 0*p + (p - 2*p - 4*p)*(6 - 2 - 3) + 1721 - 1721 + 22*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -776548, -1553056, -2329562, -3106066, -3882568?\n\"Answer: k**2 - 776511*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116591.\nAnswer: 31, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -400, -833, -1328, -1915, -2624?\n\"Answer: -5*x**3 - x**2 - 395*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, l: 3}. Give prob of sequence kkl.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 15*h + 3. Let l be g(-15). Suppose 0 = l*t - 0 + 15. Let p(x) = x**2 + 4*x + 6. List the prime factors of p(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57119 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 42, 65, 86, 105, 122?\n\"Answer: -h**2 + 28*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*((3 - 2*o - 3)*(-2 - 2 + 3) - 5916 + 5916 + 343*o) + 0 + 0 - 5*o + (-2 + 2 + 1)*(-4 + o + 4).\nAnswer: -694*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(1*sqrt(6)) + (sqrt(2) - sqrt(2)*-2*-3))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - z**2 + (-5*z**2 + z**2 + 2*z**2)*(1 + 4 - 4) + 5*z**2 - 2*z**2 - 4*z**2 + 2 - 2 - 4*z**2 to y*z + l + w*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 9161086.\nAnswer: 36644344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 0 + 2 - 54*l + 9 + 9.\nAnswer: -54*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 27. Calculate p(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 26 - 6)*(0*z - z - z) to the form m*z + l and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 7*h = -78, 76 = -6*v + 3*h + 37 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-1*sqrt(1728))\/(sqrt(6)*2*1 + sqrt(6)))**2 - (sqrt(16)\/(sqrt(2)*1))\/((sqrt(144)\/sqrt(3))\/sqrt(12))).\nAnswer: -2*sqrt(2) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/120 + 15*j**4\/8 - 1625*j**3\/12 + 21125*j**2\/12 - 951*j - 1. Let f(s) = 0. Calculate s.\nAnswer: 5, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*74*25\/25. Let j = 58 - w. Let i = 45 - j. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 3 = 2*t - 3*c, 4*c - 1 = t. Let a be ((-1)\/5)\/(4\/(-820)). Let i = a + t. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 5*t + 104 = 17*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + (-1015)\/(-90) - (-2 - -6) and 2\/(-3) - (-63)\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916490571 a multiple of 5919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:52 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**11\/f**(-4))\/(f*f\/f**(4\/3))**(-13))**43 assuming f is positive.\nAnswer: f**(3053\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 2. Let q be r(-4). Let w = 4 - q. Let z = w + 15. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323915968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + -15 - (43 + -172 + 89).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2.7, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237344167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*3)\/sqrt(10).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)\/j)\/j**(1\/9)*j*j**9*j*j*j**(-6)*(j*j*j**(3\/5)\/j)\/j*j**(3\/10)\/j*(j*j*j**4*j)\/j**2 assuming j is positive.\nAnswer: j**(11273\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-187) + (-20)\/352)\/(-2*1\/(-5))\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - (sqrt(720) + -1)**2).\nAnswer: -716 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -178*u + 7. Suppose -13*k + 6 - 32 = 0. Is 11 a factor of o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:28 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 129\/29014?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/24 - 33*p**2. Let z(k) = 26*k**2. Give z(h(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 2, n: 2, i: 1, z: 6, b: 3}. Give prob of picking 2 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 4) in base 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.3 + -0.7. Let p = 7 + l. Let u = p + -0.9. Which is the nearest to u? (a) 1\/7 (b) 2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 580 = -3*x, o - 137 = -3*x + 444. Calculate the greatest common factor of x and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 31 + 1 = 0. Find the common denominator of ((-3)\/g)\/(15\/170) and 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(3*sqrt(275) - sqrt(275)) - (5 + 0 + sqrt(1331) + 2)**2.\nAnswer: -1380 - 74*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-80 - -10)\/(2*-1). Let j = -8 + t. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*y - y - 53 = 0, 0 = 5*y. Let r = -51 + a. Suppose 5*p + 41 = w, 23 = -p - r*p - w. Put -2, p, -3 in ascending order.\nAnswer: p, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 5*u - 2*q, 5*u - q - 2 = 0. Let r be u + ((-33)\/(-12) - 3). Is r < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 3*t**2 - 5*t - 7. Let w be p(-2). What is the lowest common multiple of 8 + (-10)\/(w\/5) and 23?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 16, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:46 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 2*u**3 - 2*u**3)*(-25 - 6 + 3) - 2*u**3 - 1 + 1.\nAnswer: 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) -106.3 (c) -9\/5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 848767831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 2*v**2 - 2. Let a(j) = -2*j**3 - 3*j**2 - 3. Let u(f) = f**3 + 2*f**2 + 2. Let l(n) = -2*a(n) - 3*u(n). What is 4*l(h) - y(h)?\nAnswer: 2*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 979354 - 72.\nAnswer: 979282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 61*x + 30. What is the tens digit of y(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5808, 5470, 5132, 4794, 4456?\n\"Answer: -338*x + 6146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2914 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 572709a (base 11) to base 14.\nAnswer: 148d02a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -5472.9?\nAnswer: -5472.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100222 - -20001111011?\nAnswer: 20001010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(h**5 + 6*h**5 - h**5 + (h + 4 - 4)*(-2 - 2*h**4 + 2)) - 2*h**5 + h**5 + 0*h**5.\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9915341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z - z)*(58 + z**3 + 163*z**2 - 129 + 73).\nAnswer: z**4 + 163*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14258504?\nAnswer: 2, 13, 71, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2*w - w, 0 = 3*w + 3*g - 0*g - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + l. Let b be o(1). Let x = b - 4. Let y be 2 + 5 + -2 - x. Solve -2*v = -y*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -8. Let z(k) = 20*k**2 + 27. Let a(d) = -5*d**2 - 7. Let v(w) = -9*a(w) - 2*z(w). Let n(b) = -4*b**2 + 5*b**2 + 5 - 3. What is i*v(x) + 9*n(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2526 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Suppose -2*c - 3*p = -14, -4*p + 9 = 5*c - u*p. Suppose c = f, -13 = -3*o + 2*f - 0*f. Calculate the lowest common multiple of 11 and o.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1577)\/95 + 17)\/(2\/10). Solve -u*k + 5*n = 10, -5*k - 4*n + 26 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 26 = 2*i - 3*u, -4*u + 8 = 0. Let n = 209 + -839\/4. Put i, n, 5 in decreasing order.\nAnswer: 5, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -424.37 and 15946.\nAnswer: 15521.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 90*m**3 - 5076*m**2 - 19128*m - 18720.\nAnswer: 3*(m - 60)*(m + 2)**2*(m + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - u**3 - 1 + (-u**2 + 0*u**2 + 0*u**2)*(3*u - 2*u - 3*u) - 15*u**3 + 17*u**3 - 7*u**3)*(3*u**2 + 0*u**2 - u**2).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192460 by 20.\nAnswer: 9623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 18 = -2*a, 2*a = 13*o - 11*o - 18 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from bezzbbbje?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 2778*c + 661412. Determine j(-263).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3 (c) 0.1 (d) 8\/5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 74448, -59, -27 in ascending order.\nAnswer: -59, -27, 74448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 + 2*h - 4. Let y be t(5). Let i be (0 + 90)*y\/(-9). Find the common denominator of -97\/10 and 3\/(-2)*i\/(-22).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 2*h + 1. Let m be o(3). Suppose -n + m = n. What is the third derivative of w**2 + 5 + n - 7 - 3*w**4 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18738123 is divided by 18738063?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 4*t + 2*t + (-5 + 0 + 3)*(0*t + 2*t - 4*t) + 10*t + 21*t - 45*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 8 = 10*l. Let s(t) = t**2 + 4 + 7 + l - 1. Is 5 a factor of s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y - 5. Let r(i) = 1. Suppose u + 4*u - 4*j - 9 = 0, 2*u + 2 = -4*j. Let d(q) = u*s(q) + 2*r(q). Give d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 39*l - 5*l.\nAnswer: -35*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -406\/11 + 37. Sort -2\/3, 0, c in ascending order.\nAnswer: -2\/3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-320)\/(-6) + ((-1)\/3)\/1 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 15 = 4*f. Suppose -n + 3 = 0, -3*j = -f*j + n + 5. Solve -j*p = 2 + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246975 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 + 3*j - 2. Let l(u) = -u**2 + u. Let h(i) = 5*l(i) - v(i). Let c be h(2). Is (-1832)\/(-6) - c\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -6)\/8*-1*8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - 4*q**2 - 2*q**2 + 9*q**2. Let y(i) = -987*i + 105. Let g(v) = -19*v + 2. Let d(j) = -105*g(j) + 2*y(j). What is d(c(o))?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*q**2 - 479*q**2 - 458*q**2 + 116*q**2 + 178*q**2.\nAnswer: -967*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.9, 0.8, -38?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/27 - (112\/180 + 0). What is the nearest to 1\/5 in m, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 2 + 2*q - 4. Suppose 1 - 13 = -4*b. Suppose 0 = 2*l - b*l. Give i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*w - 2. Let g be 5\/(-2)*(w - 1). Let o(b) = -b**3 + 7*b**2 + 9*b - 3. Let r be o(8). Solve 4*y + 4 = -3*c + r*c, c - 9 = -g*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 - -4*1\/(-2). Let g = -6 + v. Let b be g\/(-5)*(8 + -18). Solve -4 = b*i - 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 203 = 45 - 58 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 - 9a131?\nAnswer: -9a0a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-7)\/(-2)) - 116160\/(-140). Suppose 5*p - 500 = t. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(4 + 1 - 4)*(-3*x**4 + 0*x**2 + 0*x**2 + (4 + x**3 - 4)*(0 + 0 - 2*x) - x**4 + 2*x - 2*x) as l*x**3 + w*x + v + g*x**2 + r*x**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -982 plus -0.0434412?\nAnswer: -982.0434412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.1103854 microseconds to days.\nAnswer: 0.0000000002674813125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((1 - (4 - 19)) + 17)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118580*j**2 + 559294*j**2 - 59 - 8*j + 559289*j**2.\nAnswer: 3*j**2 - 8*j - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1+0.1772758\nAnswer: 1.1772758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -297615*u. Let k(j) = j. Determine n(k(a)).\nAnswer: -297615*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -39*r**3 - 3*r**2 - 4*r - 2. Let g = 16 - 17. Is 6 a factor of m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 465132 and 11208.\nAnswer: 930264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.8938119 to one decimal place.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 149672761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10545768 divided by -2636442?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 10*n**2 + 1 - 7*n + 8*n as x*n**2 + d + y*n and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 3*h**2 - 10*h - 8052. Let i(y) = -y + 2. Let o(l) = l**2 - 4*l + 4. Let s be o(6). What is s*i(a) + 3*f(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 110656?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21719 * 0.4\nAnswer: -8687.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + -11111011000001?\nAnswer: -11111010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a factor of 6655985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + 6*k**2 - 6*k**2)*(2*k + 9 - 9).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(1905\/10)\/127?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68832442*h**3 - 62495707.\nAnswer: -206497326*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/8 less than or equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 4*u + 3. Let s be t(2). Suppose -3*n + s = -2*n. Suppose 3*o = 2*l - 3 + 5, 0 = n*o + 4*l - 14. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11 = -30*n + 31*n, 2*n = -3*w + 7. Let k = 4 - 1. Suppose -3 = 3*t + k. Put -1, t, n in ascending order.\nAnswer: n, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10057 + -62?\nAnswer: -10119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79646950393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46159, -46032, -45905?\nAnswer: -45778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = 3*t, -5*t - 3*i + 5*i = 35. Sort -4, t, 4.\nAnswer: t, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075659544 a multiple of 2716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 4594?\nAnswer: -459a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(72) + -5*sqrt(72))\/sqrt(8)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31938*g**2*j**4 - 18*g**2*j**2 + 7995831*g**2 wrt j.\nAnswer: 127752*g**2*j**3 - 36*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-5.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*-4*4\/(-8). What are the prime factors of o\/5 + 219\/5?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.7 to zero decimal places.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -292 and -1.4.\nAnswer: 408.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23105 - -16b8?\nAnswer: -21609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2895*t**2 + 2887*t**2 + 3.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15778242211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 5*g. Let y(b) = -b**2 - 9*b. Let r(t) = -5*m(t) - 3*y(t). Let x(v) be the second derivative of v**4\/6 - v**3\/2 + v. What is 3*r(p) + 2*x(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010001011 (base 2) to base 8.\nAnswer: 4213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488.4 rounded to the nearest ten?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, -8, 40, -33 in decreasing order.\nAnswer: 160, 40, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltlllllltlllltlllltt. What is prob of sequence tl?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Let m = 1.883 + 6.117. What is the closest to -1 in 3\/8, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7*i - 10. Let w be ((1 - -5) + -6)*3\/(-6). Suppose w*o + 36000000 = i*o. What is o rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 7*t**2 + 5*t - 3. Let a be m(-6). Let y = a + -2. Is 0 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 1, w: 1, d: 1, h: 1, c: 2}. Give prob of sequence hw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 27867922?\nAnswer: 139339610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 917*h - 1829*h + 910*h + 12 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/11, -117, -1\/52 in decreasing order.\nAnswer: 2\/11, -1\/52, -1, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*r**5 - r**3 - 6*r + 2 wrt r?\nAnswer: 260*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*n - 14, 3*m + 12 = 5*m - 4*n. Find the third derivative of 0*q**3 - 4*q**5 + 0*q**3 + 7*q**5 - 2*q**m wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d - 8. Determine j(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3\/10 (c) 0.5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -5136786\nAnswer: -2\/285377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-10 - -9) - (-1 - -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by 14685.\nAnswer: 41\/4895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2752978955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*i + 8. Suppose -4*o = i*l - 14, -5*o - 2*l - 21 = -8*o. Solve 3 = -5*u - y - o, 0 = -2*u - 4*y + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmtzmt. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 642206205 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18d - 1?\nAnswer: -18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.8 - -4.9. Sort 3\/4, n, 3.\nAnswer: n, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0774, -5\/282, 0.4, 8 in decreasing order.\nAnswer: 8, 0.4, 0.0774, -5\/282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-5) - (-2)\/(-2). Let x be (-4)\/(-30) + 29\/(-15). Let n = 17\/15 + x. Which is the third smallest value? (a) 0.5 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (106\/(-10))\/(19\/(-3610)*19).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.22 - 3.14. Suppose 3*u + a + 12 = -0*u, 5*u = 3*a - 34. Put u, 2, -0.5, r in decreasing order.\nAnswer: 2, r, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, j: 2, n: 2, v: 1}. What is prob of sequence jz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 k when three letters picked without replacement from kkkkgkggkg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1001000011010111101 (base 2) to base 7\nAnswer: -2343555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/11142 and -23\/2?\nAnswer: 11142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 25 + -18 - (3 - 10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*m + 3*m - 199251, -3*v = 4*m - 159403. Let x = m + -26739343\/671. Let o = 51597\/6710 + x. What is the common denominator of o and 113\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000333691 rounded to six decimal places?\nAnswer: 0.000334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 6*a + 2*a)*(293 + 6*a - 293)*(a + 5*a - 4*a)*(-1 - 3 - 1) in the form d*a**2 + k*a + g*a**3 + c and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**3 + 5*s**2\/2 + 4*s - 40. Determine i(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 74. Solve 4*w - 14 = -0*w - 2*j, -5*w - 3*j + 19 = b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-154)\/(-55) - 3)*-6. What is the closest to 0.04 in -1\/3, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 1. Let d be n(1). Let l be d\/(-5) - (-22)\/5. Let v be (-2)\/3*-3*1. Solve -j = -4*t + v, -5*j + j = -4*t - l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24285 - -1?\nAnswer: 24286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 6:30 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 67?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l - 479 + 272 = -1265 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 6 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 801 divide 4082085183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13*i**2 + 9*i - 10. Let g(s) = -6*s**2 + 4*s - 5. Suppose 3*h = 36*h - 132. What is h*t(v) - 9*g(v)?\nAnswer: 2*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1934684417 - -3?\nAnswer: 1934684420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - s + s**2 + 4*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 82134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, -2\/9, -4.3, -2\/21, -2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/5 - 8*g**4\/5 + 22*g**3\/5 - 12*g**2\/5.\nAnswer: -2*g**2*(g - 1)**2*(g + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14806?\nAnswer: 2, 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 457.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 - 185. Sort l, 2\/11, -0.4, -6 in increasing order.\nAnswer: -6, l, -0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2713*m - 2724*m + 3 + 5414*m - 1.\nAnswer: -23*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(-1 - 3 + 2) + l + 4*l - 4*l + 3*l + 18*l - 2*l - 2 + 2 - 2*l + (4*l - l - l)*(-5 + 5 - 2) - 4*l - 2*l + 5*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 11*a**2 - a + 13. Let x be n(11). Let h(j) = j - 7. Let k be h(x). Let q(r) = 37*r**2 + 7*r + 21. Is q(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.94 + 37. Let r be (-333)\/444 + 19\/36. Let g = 0.46 - 0.06. What is the nearest to j in 0.3, r, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 110 = 5*r, 4*r + 9*p - 10*p - 88 = 0. Solve 0*q - 16 = 2*m + 5*q, 5*m - 3*q = r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -19*g + 236. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2224524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -8912, -1\/193 in decreasing order.\nAnswer: 1\/3, -1\/193, -8912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**4 + i**3 + i**2 - i - 1. Let p be (4\/(-6))\/((-23)\/207). Let u(w) = 11*w**4 - 29*w**3 + 91*w**2 - 91*w + 24. Let s(g) = p*r(g) - u(g). Factor s(j).\nAnswer: -5*(j - 3)*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let k = 2 + o. Let u = -2 - k. Let b(x) = -x**3 + x**2 + 3. Give b(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2 - 34280*q + 157060689 = 0.\nAnswer: -38373, 4093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let q(c) = 16*c + 10. Let m(a) = 5*a + 3. Let p(d) = 20*m(d) - 6*q(d). Determine p(o(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 3*m**2 + 3*m + 6. Give j(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 25*q - 124. Calculate the smallest common multiple of 130 and d(-16).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 79935.57 centimeters?\nAnswer: 799355700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.28603 centuries in months?\nAnswer: 62743.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 5*m - 1. Let y(b) = -b**2 + b. Let c(k) = -r(k) - 4*y(k). Let t(j) = j - 6. Let f be t(8). What is c(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244923\/20 + 12243. What is the common denominator of l and -173\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:43 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-7 + (7 + 190\/(-25))*10400\/624.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -24, -16, 8, 54, 128, 236?\n\"Answer: x**3 - x**2 - 6*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (20 + 27 - 71)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 11. Let b = -22 + 13. Let h be i(b). Solve 3*a = -3*f, 3*a - h*f = 8*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -36711345\nAnswer: 11013403.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 3275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 9*w**2 + 5*w - 21. Let a be l(9). Suppose 5*b + a = 13*b. Suppose 2*p - 3*q - 8 = -0*p, 0 = b*q - 12. Solve 3*n = 1 - p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4649759 to the nearest integer?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*q - 28, 0 = -230*t + 234*t + 2*q + 34 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 93 (b) 1.6 (c) 1\/9 (d) -2\/47 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.897 - 0.103. Let f = -3.003 - x. What is f rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/128 and -51\/64?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Suppose -61 - 50 = -y*b + 5*g, 2*g = 5*b - 288. Let i = b + 8. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 445*f**4\/4 + 869*f + 1151. What is the derivative of i(l) wrt l?\nAnswer: 1335*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*d**5*h**3 + 3*d**4*h**3 - 5*d**2*h + 2*h**3 wrt d.\nAnswer: -1920*d**2*h**3 + 72*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -55, 2, 45, -69 in increasing order.\nAnswer: -69, -55, 2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052839 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 776*y**6 - 1606*y**6 + 6*y**5 + 120*y**6 - y + 27*y**2 + 10 wrt y.\nAnswer: -85200*y**3 + 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.3966*-3.\nAnswer: -58.1898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a. Let z(q) = -4*q**2 - 959 + 959. Determine z(d(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-6)\/(-99)*22\/(-12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 21*a + 21\/2*a**2 - 5*a**3 + 96. Let k(t) = -3*t**2 + 4*t + 4. Give -4*j(u) + 21*k(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0566 and 0.249740016?\nAnswer: 0.306340016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - 8) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/8)*p)*p)\/(p**(-3)\/p)*((p*p**(3\/5))\/p)\/(p**0*p)*(p**0\/(p*p**2))**(-50) assuming p is positive.\nAnswer: p**(6179\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21870, 21820, 21766, 21708?\n\"Answer: -2*u**2 - 44*u + 21916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(24)\/sqrt(8)*5.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 3*k - 5*c + 125, -3*c = -9. Calculate the remainder when 196 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35027296 is divided by 9719.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87177860 is divided by 20836?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.5 (c) 7\/25 (d) -2\/3 (e) -71 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110210010102011 + -22?\nAnswer: -110210010102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1216)*-3*-2 - (-1*sqrt(171)*-2)\/((-2*sqrt(81))\/sqrt(9)).\nAnswer: -95*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-989*29\/(-8671) - -23)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 238351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**3 + j + 1. Suppose 4*l = 22 + 26. Suppose -3*v + l = -d - 7, -2*v + 6 = -4*d. Let n(w) = w**3 - 8*w**2 + 7*w - 1. Let i be n(v). What is t(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -535*j - 13910 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12536916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 3.\nAnswer: -88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 x when four letters picked without replacement from xxxxmm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 5, a: 6}. Give prob of picking 3 a and 1 o.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 23*a - 21. Give q(-18).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13857131.\nAnswer: 13857131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321 + 336. Suppose 4*f + 10*w - 16 = s*w, -5*f + 5*w + 25 = 0. Calculate the least common multiple of f and 170.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -1\/3, -2, 4, 78202 in increasing order.\nAnswer: -7, -2, -1\/3, 3, 4, 78202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:55 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1400328 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3644*o**3 - 3*o**2 + 2*o. Is i(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/27)\/(g\/(g\/(g\/(g*g**(4\/9))))*g)*g\/(g*g*((g*g\/g**(1\/10))\/g*g)\/g)*((g*g*g**(-3\/2))\/g)\/g assuming g is positive.\nAnswer: g**(-544\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, 11, 25, 45?\n\"Answer: 3*b**2 - b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -29\/410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8 - 85*n + 44*n + 39*n - 5. Let j be y(-3). Suppose j*g = 18 + 9. What is the lowest common multiple of 7 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254582*j*u**3 - 18*j*u**2 + 345*j*u + 8*u wrt u?\nAnswer: 1527492*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3779 or 1142?\nAnswer: -2\/3779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9286\/9 <= 1031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o + 2*h = 74, -5*o + 3*h = -153. What is the second derivative of o*v + 36*v - 75*v - 51*v**5 wrt v?\nAnswer: -1020*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3236178?\nAnswer: 2, 3, 11, 49033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 316\/28 - (-4)\/(-14). Let w = n - 7. Suppose w*g + 0*g = 20. Which is smaller: 6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/18 and 33\/322?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 9*u - 2919. What is f(32)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -125?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2. Let j(u) = 2803*u**2. Give p(j(w)).\nAnswer: 23570427*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, -24, 4, 5, -4 in increasing order.\nAnswer: -24, -4, -2, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 58*p + 173. Let o be j(-3). Sort o, -0.36, 0 in increasing order.\nAnswer: o, -0.36, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 - 587 = -56*q. Let b(d) = 4*d**2 + 3*d - 3. Let i(r) = r**2 - r. Give q*i(k) - b(k).\nAnswer: -2*k**2 - 5*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 29*a**2 + 12*a**2 + 4*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 4\/8)*8\/(-22). Let n be (-60)\/(-16 + 31) + (-13)\/(-3). What is the second smallest value in 4, c, 0.1, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.008467 times 8\nAnswer: 0.067736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3*-2)\/((-2522)\/291)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97532 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1062, 1413, 1764?\nAnswer: 2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2073 and 4.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18481875 to the nearest integer?\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 175*p - 26 = -173*p, -5*b + 32 = -4*p. Let l(j) = -3*j. Calculate the remainder when b is divided by l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllnnn. Give prob of sequence llln.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56579 is divided by 365.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-329)\/(-42) - (-7 - -15) - (-129)\/18?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 15*f**2 - 26*f + 4. Let c be z(-13). Suppose w + 6 = c*w. Let q be -2 + (-40*w)\/(-4). Solve -18 = -2*a - 4*v, -a = 2*a - 3*v + q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 22 = -34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474, 475, 476?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - p + 15. Let z(i) = i**2 - 7. Let d be (-105)\/(-10)*(-4)\/(-6). Let t(r) = d*z(r) + 3*j(r). Give t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/20 + 7*y**4\/12 - 5*y**3\/6 - 3*y**2\/2 + 28*y. Let r be w(6). Factor h**2 - 1\/3*h**r - 2\/3*h + 0.\nAnswer: -h*(h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**2 - 11*b**2 - 519*b + 492*b - 1305*b**4 wrt b?\nAnswer: -31320*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let t(q) = -4*q**2 + 698*q - 1. Determine t(k(s)).\nAnswer: -4*s**2 - 698*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:45 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 296, 974, 2310, 4526?\nAnswer: 7844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 147928?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/4 - 2624*g**2 - 52455*g\/4 = 0.\nAnswer: -10491, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Let n = r - 0. Is 1*48 - (n + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 1. Let m(o) = 3*o + 4. Let k(a) = 6*a**2 - 6*a - 1. Let r be k(-1). Suppose r*p - 4 = 7*p. Determine p*m(q) + 4*d(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2756 - 8264\/3. Which is the closest to 4? (a) 0.4 (b) -4 (c) l (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*x - 350*x + 6 = 0. Let b be 1\/x - (-80)\/12. Solve -b = -11*s + 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -184*q + 586. What is the smallest common multiple of h(2) and 545?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -507*h**2*m - 516037867*h**2 - 207792*h*m**2 wrt m?\nAnswer: -507*h**2 - 415584*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 7*t + 2. Let r be d(2). Suppose 8 = -2*c, 4*x + 0*x - 3*c - 20 = r. Solve 0*n + x*o = 5*n + 30, 2*o = -3*n - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 448*x - 4. Let v be q(-1). Let k = -124 - v. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 9*b + 1. Suppose -2*u - 5 = -3*u. Let c(h) = 94*h**2 - 52*h**2 - 44*h**2 + u*h. Determine -5*c(j) + 3*y(j).\nAnswer: j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dixihvvxvdvvt. What is prob of picking 1 h, 1 t, and 1 v?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1644 + -70676\/43. Find the common denominator of 19\/16 and m.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c**6)\/(c**(-6\/5)\/c**(1\/5)) assuming c is positive.\nAnswer: c**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8623, 17195, 25711, 34165, 42551, 50863, 59095?\nAnswer: 67241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 10 = r, -3*m = 4*r - 6 + 1. Suppose r*f + 0*f - 220 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 8 - 52. Let j = t - 11. Suppose -3*f + 10 = -2*k + f, -2*k + 2*f - 10 = j. Let o(l) = -3*l - 4. Let x(w) = -7*w - 9. Give k*o(d) + 2*x(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3634 and 22?\nAnswer: 39974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + i + 0*i + (1 - 3 + 0)*(7*i - i - 4*i) + 2*i - 5 + 3 + 0.\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -31*w**3 - 25*w**2 - w + 20. Suppose -7 = -7*k + 406. Let d = 79 - k. Let f be a(d). What is f rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-18)*b*b*b**(-4\/9) assuming b is positive.\nAnswer: b**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 72+0.19\nAnswer: 72.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*o - 215, -3*x + 0*x + 678 = 4*o. List the prime factors of x.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 20 + (-15 - -2) + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 379*h**3\/3 + 11*h**2 - 31*h. Let i be w(-9). Round i to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66191 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let z(a) = 14*a**3 - 14*a + 404 - 404. What is 14*i(y) + z(y)?\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 41 + 20 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 7\/15 (b) -4\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/33)\/(2\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 152 = -k. Let l = k - 79\/2. Let w = -6 + 10. Which is the biggest value? (a) w (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-263 - -15)*(-1 + -1). What are the prime factors of 2\/(-6) - s\/(-12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-3))\/((-84)\/(-9) - (140 - 132))\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1. Let a(k) = -3. Let g(d) = -a(d) - 4*i(d). Let r(x) = -3*x + 5. What is 6*g(t) + r(t)?\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455913, 455912, 455911, 455910?\nAnswer: 455909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 431*k - 510*k + 1817 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -985955670 divided by -4695027\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.4 and 164207.\nAnswer: 164204.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5058724226 to the power of 1\/2, to the nearest integer?\nAnswer: 71125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 26*w**2 - 31*w + 107. Calculate o(27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -138, -211?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-4))\/(4\/(-8)). Let m(b) = -2 + 2*b - a - b. Give m(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 433 - 3635. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 35 = -35. Suppose d = 3*z - 51 + 15. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11187369.\nAnswer: 3, 414347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**3 + 96 - 96 - 14*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 + -63. Suppose -127*j = -g*j - 197. What are the prime factors of j?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*g**4 + 91*g**4 - 2*g**2 + 33*g**4 + 6*g**4 - 2*g**4 + 2*g**4 + (-1 + 1 + g**4)*(3 - 2 + 1) + 1 + 2*g**4 - 1.\nAnswer: 209*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 - 4940*k**3 - 1111735*k**2 - 72716800*k - 71610000 = 0. Calculate k.\nAnswer: -700, -155, -132, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 12, -4*y - 2*c + 16 = 26 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589063.\nAnswer: 589063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxda when four letters picked without replacement from {x: 2, d: 1, a: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -457*h*z - 8*z + 10 with respect to h.\nAnswer: -457*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 32850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 25631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 4*q**2 - 5*q - 5. Let s be f(3). Let w = s - -39. What is the highest common factor of w and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = 4*l, 0 = 2*x + 3*x - 10. Let b(j) = -j**2 + j + 4*j**3 - 4 + 0 - 3 + 6. Let t be b(l). Solve -12 = -t*r + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 2 - 2)*(-5*r**2 + 4*r**2 - r**2)*(0 - 5 + 0 + (2 + 3 - 3)*(3 - 3 - 3) - 3 + 0 + 0 + 2 - 3 + 0).\nAnswer: 60*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527492, 1054911, 1582330, 2109749?\nAnswer: 2637168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/6 - 137*a**2\/6 + 1541*a\/2 + 1587\/2 = 0. What is a?\nAnswer: -1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -0.4 (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -500453 * 18\nAnswer: -9008154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = a - 5*w - 2, -3*a - 4*w = 8. Let z be 3\/5*200\/(-180). What is the closest to z in 5, 1\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, o: 9}. What is prob of sequence obb?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 9*r + 4*r**3 - 3 + 2 - r**3 + 0*r**3 + 2*r**3 + (0*r**2 - 2*r**2 + 0*r**2)*(3 - 3 - r).\nAnswer: 4*r**3 - 9*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1692 = h, 5*h - 1680 = y - 4*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -271*i**6\/12 + 177*i**5\/20 + i**4\/24 - 2625*i**2. Find the third derivative of x(w) wrt w.\nAnswer: -16260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233586 to the power of 1\/2, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 3. Let r be u(16). Do r and 91\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/87027 and 33\/145045.\nAnswer: 435135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000103859 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 135*d**2.\nAnswer: -5*d**2*(d + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -15\/1363 (b) 3 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 554826\nAnswer: 5\/554826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n + 231089 - 231089.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjjvkyjyyv. What is prob of sequence kyvv?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27438 is divided by 2411?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 27*n**2 + 70*n - 17. Calculate j(24).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*l - 1. List the prime factors of (-5)\/((-10)\/16) - l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17381201 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 1, j: 1, k: 1, h: 1, x: 1}. Give prob of sequence bhk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 14*d**2 - 9*d**2 - 42 + 4.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-40)*t)**44 assuming t is positive.\nAnswer: t**(-1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {e: 3, q: 4, l: 2, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*k + 248 = 0, 4*j = -2*k + 40 + 148. Let o be (15\/(-6) + 3)*4. Factor -50*f + 4 - 2*f**o + j*f + 0*f**2.\nAnswer: -2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154.03147591305 + -5.\nAnswer: -159.03147591305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2529 - 2527.012. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b**3 + 8*b**3 - 4*b**3 + (-b - b + 4*b)*(-3*b**2 + 2*b**2 + 0*b**2) + 0*b**3 + 2*b**3 - b**3)*(b**2 - 18*b + 18*b).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 714 and 104974626.\nAnswer: 734822382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/(i*i**(-9)\/i*i))\/((i\/(i**(-1\/6)\/i))\/i))\/(i**(-2\/5))**(2\/95) assuming i is positive.\nAnswer: i**(28049\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2, -4 in descending order.\nAnswer: 2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -6\/7, 2\/5, 0.134, 4 in descending order.\nAnswer: 4, 2\/5, 0.134, -0.2, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4 and -2.2?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = 2*v, 0 = 3*v + 4*p - 3 - 3. Let t(q) = -q. Let x(j) = -4*j. Let m(u) = v*t(u) + x(u). Let b(a) = -a**2 - 10. Calculate b(m(w)).\nAnswer: -4*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (-630)\/((-600)\/(-20))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269755499.\nAnswer: 13, 20750423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -902*c - 154. Is 22 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3272\/3 - 1090. Let w = 10.8 + -11. What is the fourth smallest value in -7, -2, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -17.5\nAnswer: -0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*10\/35?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1331)*-6 + sqrt(22)\/sqrt(2) + sqrt(11) + 5 + sqrt(11)*1*6)**2.\nAnswer: 2720*sqrt(11) + 813849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*j**4 + 61*j**3*v**2 + j**2 - 13*j*v**2 + 4*v**2 wrt j.\nAnswer: -288*j + 366*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50907 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174876 is divided by 87389?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4039 take away 276399?\nAnswer: -280438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 41d885 (base 16) to base 10\nAnswer: 4315269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86644.\nAnswer: 2, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155322 (base 6) in base 9?\nAnswer: -104175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - c**3)*(4*c - 104 + 93 - 6*c).\nAnswer: 2*c**4 + 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**6\/6 + 326*j**5\/25 - 77*j**4\/4 + 64*j**3\/15 - 2825. Solve r(t) = 0.\nAnswer: 0, 1\/5, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Suppose 4*t = 2*l - 36, -t = -q*l + l + 6. Let b = 27 + t. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/14)\/((-1620)\/1260)*288\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 16, 18, 22, 28, 36, 46?\n\"Answer: m**2 - 3*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 - 10*o - 21*o**2 + 10*o + 11*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2138750 and 61\/850.\nAnswer: 36358750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 70 - 141 - 357*u + 100. Is k(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 2*z. Let c(x) be the first derivative of 4*x**3 - 9*x**2\/2 - 9. Let g(p) = 2*c(p) - 9*y(p). Let o(k) = -9*k. Determine g(o(i)).\nAnswer: -243*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -261 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 48?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -32088?\nAnswer: 32104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or -21?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 376441 - 771?\nAnswer: 375670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6187717 milligrams?\nAnswer: 0.0000006187717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3518100 by 6.\nAnswer: -586350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642*x = 178*x + 50*x - 13050. Let h be 24\/9 - 2\/3. Solve -h*m + x = 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 258, 1\/2, -0.1?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**2 + 9*a + 5. Let k be x(-3). Suppose -6*h - b = -3*h - 22, 4*h - 5*b = k. Calculate the lowest common multiple of h and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*m**5 + 2*m**4 + m - 341 wrt m.\nAnswer: 440*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*n + 151*n - 20 = 0. Let u = 26 - 18. Solve 5*z + n + u = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54509212, -109018426, -163527640, -218036854, -272546068, -327055282?\n\"Answer: -54509214*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1151 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**3 + 1159270*l**2 - 1159270*l**2.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546241 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4713948 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014570 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.483 - 0.383. What is the fourth smallest value in u, 0.5, -1, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14321 + -9677. What are the prime factors of (-2)\/(-5) - o\/(-90)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-80862)\/(-5) + (-1888)\/(-1180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -58*m**2 - 3*m + 1. Determine u(1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68632 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -569820 to the nearest 1000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24722792 and 2024?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1878*m**2. Let o(k) = -582623*k. Calculate g(o(d)).\nAnswer: 637486273922262*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j. Let b(d) = 18*d. What is b(r(w))?\nAnswer: -108*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 45576?\nAnswer: 1\/45576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 3. Let i be y(2). What is the second derivative of -2*a - 1 + i - 2*a**3 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 17*j**2 - 38*j + 67. Let v be w(-29). Let r = v + -5099. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**4 + 4*b**3 + 6*b**2. Let x(f) = -17*f**2 + 3 - 3 + 16*f**2. Let l(s) = 2*n(s) + 4*x(s). Factor l(o).\nAnswer: 2*o**2*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqdf when four letters picked without replacement from dgfggtfgggfgggqgfg.\nAnswer: 11\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 + -7.09\nAnswer: -4.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637)*1 + -4 + sqrt(637) + sqrt(637)*2 + 5 - ((sqrt(13) - (1 + sqrt(208)))*1 - 6*sqrt(117)\/(sqrt(9) + 2*sqrt(9))))**2.\nAnswer: 66*sqrt(13) + 14158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2 + (3 - 10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**21)\/o*o\/(o*o**(-1\/2)))**(2\/29))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 8*s - 3. Give b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157 - (-2 + 0 + 3)*-3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/23))\/(c*c**8))\/(c*c*c**(-1\/3))**(-2\/23) assuming c is positive.\nAnswer: c**(-536\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.86 + 0.4. Let r = -0.66 - k. Suppose -u + 5*n = -3*u - 10, -3*u = -3*n - 6. Which is the second smallest value? (a) u (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*n + 120*n = 4121. What is the remainder when 990 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -72. Suppose -27*s = -u*s - 5. Solve -4*b + 5 = s*i, 9 + 0 = -3*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**2 - 8*s - 246. Let o(x) = -20*x**2 + 18*x + 493. Calculate 9*j(r) + 4*o(r).\nAnswer: r**2 - 242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 6*s**2 + 22*s**3 + 4*s**2 to f*s + m*s**3 + t*s**2 + o and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002447 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/5 - 6*y\/5 + 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 + -142. Let j(i) = -i - 2 - l*i + 0*i + 10*i. Suppose -4*z = 0, -5*w = 5*z - 3*z + 15. What is j(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-26)\/8)\/(3\/12). Let m = 28 + s. Let o = m - 11. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20265 (base 7) to base 14.\nAnswer: 1b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62639.\nAnswer: 62639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j - 305. What is s(-9)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**6\/24 - o**5\/15 - 7*o**4\/24 + 13*o**3\/3 + 2*o**2 + 24*o. What are the prime factors of h(5)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9111 divided by 6103\nAnswer: -9111\/6103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 447 - -1372. List the prime factors of b.\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 933 (b) 3 (c) 20\/119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(42\/(-56)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -454 + 458. Suppose -4*s + 5*g - 8 = 8, k*g - 19 = -3*s. Which is the smallest value? (a) -4 (b) s (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21008 - 693152\/33. Let r = n + -30\/11. Find w, given that 0*w + r*w**3 - 2*w**2 + 8\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 12 = 0, 0 = 8*q - 10*q + 5*b + 852. Suppose q*v = 409*v + 357. What is the remainder when 192 is divided by v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-800)\/(-64))\/((-5)\/4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q. Let u(w) = w**3 - w**2 + 98. Let d be u(q). Suppose -5*r = -4*r - 2*y - d, 2*r - 197 = 5*y. What is the greatest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -19*s**2 + 3*s - 1. Let k be (-15)\/30 - -3*(-2)\/4. Does 15 divide m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3177*o - 2096 = 3101*o + 488 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.5 (c) 0.2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 66 = -86. Suppose 5*h - 112 = 3*h. Let b = v + h. What is the smallest common multiple of b and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/38 and 117\/8487794.\nAnswer: 8487794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191135*k*n**2 + 28*k*n - 55*n**2 - 110971*n wrt n.\nAnswer: -382270*k - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8500, 17031, 25562?\nAnswer: 34093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64804*o**2 + 28*o + 5793216 wrt o?\nAnswer: -129608*o + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 1. Let o be f(2). Let m be -4 - ((7 - (4 - 1)) + 82). Let c = 85 + m. Sort o, 4, c in decreasing order.\nAnswer: 4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 37 - (21397 - 21423)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 692 - 1219 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 15 + -6 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 divided by -411?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 - 17*z**2 - 65*z - 64.\nAnswer: -(z + 2)**2*(z + 64)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7258 is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:22 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320.0452 + -320. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -0.37, 0.2, -0.1?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.2791308 to 0 dps.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((161\/3542)\/((-8)\/44))\/((-79)\/40 + 2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*m + 334, -10*y + 302 = -7*y - 4*m. Let j = y + -91. What is the highest common divisor of j and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 295 - 29. What is the remainder when m is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 9000 = 69*s + 63*s for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(36\/20)*-110.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 4:42 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 16. Suppose -4*v + 3 = 3*d + z, 0 = -d + 3*v - 5. Let g = d - -8. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = 50*w + 33 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 919132523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 11171\nAnswer: 290446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 316 and 36024?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, u: 3, z: 1, j: 6}. What is prob of picking 1 v, 1 z, and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o + 20. Let q be u(8). Let p = 22 + q. Calculate the remainder when 4 - 1 - p - -30 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -3.2 (b) -6 (c) -7.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 11. Let b = -36 + d. What is the smallest value in b, -0.1, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74841, 74831, 74821, 74811, 74801?\nAnswer: 74791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*4\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2) - (-39)\/6. Suppose k*h + 229 = 3*d, 0*d - 3*h + 189 = 3*d. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 571*d + 29*d + 333*d + 132*d to the form x + w*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 1. Let a(n) = 10*n - 3. Let h(j) = -2*a(j) + 5*q(j). Let p be h(-4). Let i be p*(-5)\/(3 - -2). Calculate the highest common factor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/(10\/45). Suppose 9 = -d*v, 0 = -g + 3*v + 3 + 19. What is the greatest common factor of g and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1179, 2353, 3515, 4659, 5779?\nAnswer: 6869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3011739720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11010000001000111001 (base 2) to base 3\nAnswer: 1121022110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (6 + -16) - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 1 + 2 + 0*z)*(1 - 8 + 2).\nAnswer: 10*z - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -3.13 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20513 is divided by 2320?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001011002 - 201120?\nAnswer: -2001212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/5 - 510*p**4 + 563913*p**3\/5 + 15433248*p**2\/5 + 54884676*p\/5 + 52588368\/5 = 0. Calculate p.\nAnswer: -1028, -21, -2, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 450714587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffuufuufuuuufuffuff. What is prob of sequence uff?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51957\/(-1403) + 3441\/93?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldaa. Give prob of sequence lad.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x + 16. Let y be ((-36)\/x)\/(-9)*-8. Solve 3*g + g - y = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 9*r - 290. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3788, 3820, 3910, 4088, 4384, 4828, 5450?\n\"Answer: 5*u**3 - u**2 + 3784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(w - w - w**2) + (-37*w**2 + 10*w**2 - 4*w**2)*(2 + 5 - 2) as t*w + v*w**2 + c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -30*q - 2*q**2 + 30*q. Let j(s) = s**2. Give z(j(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, f: 7}. What is prob of sequence fn?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 0*j + 6*j + (3 - 1 - 3)*(-2*j + 4 - 4) - 40 + 40 + 2*j + 5 + 3*j - 5.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 2*j - 5 - 1727*j.\nAnswer: -1729*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7734 and 1446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -40 (b) -72 (c) 2 (d) -0.2 (e) -1\/3 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -69. Let d = -50.000063 + c. What is d rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a7c4bb - -1?\nAnswer: a7c4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 3, 172, 1, 5.\nAnswer: -127, 1, 3, 5, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 32. Let k be (s\/(-9))\/(31\/6). Suppose -3*r = -5*z - 12, 2*r - 4 + 3 = z. Do k and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 308*(-6)\/(-48) - (-6)\/4. What is the hundreds digit of (114\/(-5))\/((-2)\/w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 r, and 1 h when four letters picked without replacement from uuzhr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 - 6*z + 2. Let w(s) = s**3. Let i be (-28)\/((-4)\/1) - 4. Let u be (-3)\/(i\/(-2))*-1. Let o(v) = u*x(v) - 10*w(v). Factor o(c).\nAnswer: -4*(c + 1)*(2*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i. Let d(p) = -p - 7. Let r be d(-3). Let b(f) = 2*f**2 - 4*f - 4. Let t(s) = -s - 1. Let y(w) = r*t(w) + b(w). What is z(y(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2674 - -115?\nAnswer: -2558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 11:14 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -420*u + 425*u - 5*j - 99075, -j = -3*u + 59447. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1063 + -574. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -41. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176151277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -5\/71, 5 in decreasing order.\nAnswer: 5, -5\/71, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f - 4. Let d be r(3). What is the common denominator of (57\/2)\/(d - -28) and -37\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*a = 4*d + 100, 4*d - a = -106. Let x = -12 - d. Let h = x - 9. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 + 17*m**2 + 23*m + 659. Let r(z) = -z**3 + 6*z**2 + 8*z + 220. Let s(t) = 4*p(t) - 11*r(t). What are the prime factors of s(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34612 and 1319328?\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16399 is divided by 278?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*k = 181*k + 169 + 83 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2262 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 836 by 209.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -35. Suppose k = -14*u + 21 + 77. Solve -u*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssj. What is prob of sequence jjs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 10) in base 4?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z + 34*z. Solve 0 = 2*m - 3*y + 2, z*m - 3*y + 3 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -769.5333 + 486.5606. Let a = g - -283. What is a rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1748\/(-184))\/(2\/4 - (-2637)\/(-6)) and 17\/7.\nAnswer: 6146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69313946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 5*w + 4. Suppose 5*s = 3*b + 4*s - 6, 3*s - 9 = 0. Let a be 0*b\/(-12) + 3. What is z(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 6. Let r = -31 + a. Let x(n) = -2*n - 24. Calculate the remainder when x(r) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2144873.\nAnswer: 17, 281, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*n + 30, -4*p - 5*n - 7 = 13. Is (-3 + -7)*p\/4 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 + (1 - 1). Let q = -171197 - -171194. Which is the second smallest value? (a) 2 (b) -1 (c) q (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -207*m**3 + 27*m**2 + 27*m + 27. Let q(f) = -16*f**3 + 2*f**2 + 2*f + 2. Give 4*g(o) - 54*q(o).\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*k + 2 + 6, 0 = -d - 3*k + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/8)*y*y*((y**(2\/5)*y)\/y)\/y*y)**6*(y**(1\/2)\/y**6)**(1\/8) assuming y is positive.\nAnswer: y**(1037\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from xygyyxxxggg?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 7 + 4 - 374824*i**3 + 1561447*i**3.\nAnswer: 1186623*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-250)\/30 - -3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/3))**23*n**0\/((n*(n**(-13)\/n)\/n)\/n*n) assuming n is positive.\nAnswer: n**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/(-48))\/11 + 5*(-6)\/(-200).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - z**3 - 2*z**2 - 2617 + 2617 + (-2*z + 2*z - 2*z)*(-2*z**4 + 6*z**4 - 2*z**4).\nAnswer: -3*z**5 - z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28656 and 9552.\nAnswer: 28656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 56*u**2 + u - 142. Let j(a) = 19*a**2 - 48. Let w(q) = 7*j(q) - 2*p(q). What is the units digit of w(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 12*p + 40 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 302*i**2 + 2*i - 1. Let k(l) = 305*l**2 + 2*l - 1. Give 6*c(q) - 7*k(q).\nAnswer: -323*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3\/2 - 477*q**2\/2 - 16605*q\/2 - 163875\/2 = 0. What is q?\nAnswer: -115, -25, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 at most 618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 4*o - 10774 + 20850 - 10528 to q*o + x and give x.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 7. Suppose -s = 10*s + 2453. Let n = s + 211. Determine a(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21344 * -5426\nAnswer: -1158.12544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -49. Let g be 0\/((-3)\/(-3)) - -9. Let w = l - g. Let r(u) = u. Let v(t) = -2*t - 1. Determine w*r(x) + 2*v(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19236.134 + -19213. Round w to 0 dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) -5 (c) -71 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12570 is divided by 86?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 + 8*m + 15. Let c be f(-7). Let k(r) = r**3 - c + 5*r**2 + 0 + 1 + 0 - 2*r. What is k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -15. Let n(j) = -5*j - 12. Let g be n(k). Suppose 0 = 3*z - 0 - g. What is the remainder when 27 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 297463.86.\nAnswer: 1189855.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4270 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 - 91*c**2 + 37*c + 96. Is o(-34) a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1043)\/(-21) - 4\/6. Let z(l) = 3*l - 2*l - l**3 - 1 - i*l**2 + 58*l**2. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g - 3. Let c(v) = 2*v + 4. Let p be c(-4). Let m(n) be the third derivative of -11*n**4\/24 + 5*n**3\/6 - 151*n**2. What is p*m(y) - 7*o(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/(-5)*5*81 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 2*j)*(-j + 26*j**3 - 20*j**3 + 2*j).\nAnswer: 12*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4514847*u**3 - 2*u - 36866 wrt u?\nAnswer: -27089082*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w - 51. Suppose 6*s - s = 5*a + 55, 0 = -5*s + 3*a + 49. Calculate the remainder when r(s) is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10*1)\/(0 + 1). Let i(g) = -g**3 - 8*g**2 - 5*g + 15. Let h be i(-7). What is the remainder when ((-5)\/(-10))\/(h\/z) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 5*t**4\/4 + t**3\/3 + t**2 - 4*t + 161. Let s(x) = -x**3 - x**2 - x + 1. Calculate d(b) + 2*s(b).\nAnswer: 3*b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 - 906200*c\/9 - 102649805000\/9.\nAnswer: -2*(c + 226550)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let o = q - -7. Suppose 5*k + o = -4*w, k + 8 = w + 1. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225c (base 13) in base 6?\nAnswer: -34133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 405*c + 1 - 708*c.\nAnswer: -1113*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/12 - x**2\/2 - x. Let p be q(4). Suppose -p = -d + 8. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from vgvg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 10:03 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = 15. Let n be 1 - z - (0 + 1). Suppose -4*m = -6*m + 6. Solve 0 = -m*k - n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d + -53?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47491399 or 1?\nAnswer: -47491399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -443196.6999636 + 443195.9. Let v = g - -0.8. Round v to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740a9 (base 13) to base 10.\nAnswer: 208854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - (-126)\/27. Suppose 0 = 8*o - h*o + 27. Which is bigger: o or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140.56313 - 1.65487. Let k = 154.1 + x. Let f = -0.082 + k. What is f rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 10*o - 20*o = 360 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 23. Suppose 4*g - w*g = 6. Let a = -592\/6279 - -2\/273. What is the closest to a in g, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(32\/718). Let d = n + -59\/8. Calculate the common denominator of -54\/11 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*(b*b*b**(36\/11)*b)\/b))\/b**(-3\/10) assuming b is positive.\nAnswer: b**(-657\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3514\/33251 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 7:05 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*o + 107*o = g - 1320, g = 3*o + 1316. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6247*j**2 - 30268 + 30268)*(-3*j - 5 + 5) to s*j**3 + k*j + b*j**2 + g and give s.\nAnswer: -18741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 2, p: 1, e: 5, a: 6}. What is prob of picking 1 u and 1 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -839710766010.84000085 + 839710785827. Let u = i + -19810.16. Let p = u - 6. Round p to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4341315919 + 561.4.\nAnswer: -4341315357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -340 - -719. List the prime factors of s.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 + 75*p**2 + 119*p - 386. Determine o(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*w - 217*w - 3*d, -20 = 4*w - 4*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-6) - ((-17589)\/(-36))\/(-41)*(-4 - -8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 163 in descending order.\nAnswer: 163, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 3*d**3 + 2*d**3)*(12 + d - 28 + 17).\nAnswer: d**4 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 - 5*s + 47. Calculate i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-600)\/(-70) - 10)*28\/(-10). Let a be -56*(1\/2)\/(-1). Calculate the highest common divisor of a and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 5*m + 25. What are the prime factors of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16380 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 122\/10 + ((-6)\/15)\/2. Solve 3*y - p = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**21\/(t*t\/(t\/t**(-29)))*t**8*t\/(t**(3\/2)*t*t) assuming t is positive.\nAnswer: t**(109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 + d - 4. Let g be w(-3). Let b be 17664\/(-1380)*(1 - 7\/2). Suppose s - 3*l - 28 = 0, -3*l + g*l = -s + b. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96644 divided by -4?\nAnswer: -24161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 52. Let m be 3 - 0*(-3)\/u. Solve 2*p + 11 = m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 364?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(4\/7))*l)\/(((l\/(l\/(l*l\/(l*l*l**(-1)\/l)*l)))\/l)\/l)*l\/l**(1\/11)*l**(-3) assuming l is positive.\nAnswer: l**(-117\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42875\/2*a**4 - 3356*a - 339325*a**3 - 64 - 58590*a**2.\nAnswer: (a - 16)*(35*a + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4750 - 2849. Let i = -15283\/6 + t. Calculate the common denominator of i and 31\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 24*k**2 - 1)*(-80*k + 6 - 10 + 85*k).\nAnswer: -120*k**3 + 96*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2518333l?\nAnswer: 251.8333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**4 - 75*t**3 + 80*t**2 = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n + 5*g = 26, g = -5*n + 178. Suppose 5*x - n - 14 = 0. What is the greatest common factor of 30 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 - 157. Suppose 18563 = s*u + 6933. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*y + 170*y = -7470 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/2*((-6)\/9)\/(-1). Suppose a - 569995 = 6*a - q*j, -4*j = 3*a + 342004. What is a rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30781 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/60 - 5*v**4\/24 + v**3\/6 + 2*v**2. Let k be m(-5). Let c = 131\/3 - 43. Does c = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 14. Let i be j(10). Find the common denominator of -2\/5 and ((-39)\/(-4))\/(1 + 2\/i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 4\/(8\/6). Suppose -h*s - 5 = 3*f - 4*s, 5*s + 11 = -3*f. Let d be (-7)\/6 + -1 - f. Are 0 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -2*j + 0 + 1\/2*j**2 - 1\/6*j**3 + 1\/3*j**4. Suppose 0 = u - 2*v - 5, 2*u + 2 - 8 = 2*v. Calculate q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -39*y**3 - 76*y**2 + 221*y + 446. Determine u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 12*z + 20 as l + f*z and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/4*(-1 - (-7)\/3). Let k be 2*1*(-14)\/(-4). Let u(p) = p**2 - 8*p + 9. Let y be u(k). Solve -b + w*g - 5 = 5*g, 2*b = y*g + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/8 - -21*(-1)\/12. Which is greater: c or -2\/189?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(3*k - 2*k**2 - 3 - 3*k)*(-213 - 98*k + 213)*(4*k - k**2 - 4*k).\nAnswer: 392*k**5 + 588*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 22*s**2 + 58*s - 2. Let c be r(19). Suppose -31685 = -c*n - 9976. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(2 + -1)*-1. Let n be 3\/(-1 - v) - 44. Let t = n + 77. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -222, -449, -754, -1137?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 571 + -401. Suppose 0 = -6*n + n + k. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*i = 111*i - 280 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 65 = 1. What is the least common multiple of 10 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70, 91, 126, 175, 238, 315?\n\"Answer: 7*o**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 810*g - 78887. What is u(-163)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 + -120. What is s in -11*s**2 + s - 16*s - 3*s - 20 + 13*s**g = 0?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:32 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -16*d + 19*d - 3 + 1. Calculate a(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2. Let f(k) = -11 - 9 + 2*k**2 + 5 - 11. Give f(d(a)).\nAnswer: 18*a**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*k - k - 20, 0 = -k + 3*g - 15. Suppose k = 5*z - 19036963 - 2963037. Round z to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x = 46*x - 78. Calculate the remainder when 232 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 1. Let r(q) = -3*q. Suppose 17*u = 36*u + 38. Determine u*f(w) - 3*r(w).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -300*l**2 + 1 + 158*l**2 - 22*l**3 + 146*l**2 + 4*l. Suppose -33 = -4*x - 1. What is the remainder when f(-1) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 288 = 282 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 16*r - 15. Let x be j(2). Suppose 378 + 166 = x*q. Is 129\/4 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(-3 - (-13)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + 2*z)*(z - z - z) - 3*z**2 - 2*z**2 + 4*z**2 + (-6 + 6 - 4*z)*(-1 + 1 + 4*z).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68950 - -42.\nAnswer: 68992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3105\/11 + -21711\/77. Calculate the common denominator of -95\/44 and a.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 1428?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (9 - 0 - 4) - (3 + -12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77635539 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2880, 1, -1, -2, 3, 106 in descending order.\nAnswer: 106, 3, 1, -1, -2, -2880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129129)\/(-858)*(-12)\/42.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1664 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.45 times -1.4?\nAnswer: -217.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 1895 + 4090 = -703. What is the remainder when f is divided by 326?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -17. Let q be ((-4)\/6)\/(-1)*(9 - 6). Solve q - a = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*y = 13, -23 + 1 = 3*o - 5*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 330113333 (base 4) in base 3?\nAnswer: 110120020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155757 is divided by 991.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1) - -3 - 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3328 and 1959168.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-4 + sqrt(77)*2*-3)\/(sqrt(22)\/((sqrt(6)\/sqrt(3) + sqrt(2))*-1)) + -2.\nAnswer: -2 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**1*h)**(3\/2)*(h**(-1\/2))**(2\/5)*(h**(-6\/11)\/h)\/h*h*h**(-7)*h**(-2\/9)*h**(-1\/6) assuming h is positive.\nAnswer: h**(-6073\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 - 46*x + 224 = 0.\nAnswer: 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxccccxcccccc. Give prob of sequence cxx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7998\/(-9245))\/(-31))\/(6\/10).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/6)\/(5\/30). Is 17 a factor of j\/(-1 + 66\/65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-9))\/f**(2\/7)*f**(4\/5)\/((f*f**(-4)*f)\/f) assuming f is positive.\nAnswer: f**(473\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (4 - 1))*1056\/(-64). Solve 25 = -f - 5*s, 2*s + c = -4*f - f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1700.25959 - -1713.95959424. Let m = 13.7 - t. Round m to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593020 rounded to the nearest ten thousand?\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 1:20 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 570 = -2*v + 106, -3*y = 4*v - 400. Calculate the highest common factor of 1156 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 7:55 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {m: 1, h: 2, r: 3, x: 8, y: 4, f: 2}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191340761807259745 - 191340763349311168.99999926. Let j = 1542051451 + n. Let t = -27 + j. What is t rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508*u = 515*u + 371. What is the closest to -1 in -5, u, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 + 0*k**2 + 2*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2 - 7\/(-14)). Let d = 7 - 5. Suppose 0 = p - z, 0 = 2*z - 4*z + d. Which is bigger: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 - 387 = -127*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 3*i**2 - i - 2. Let y be s(-2). Solve r = -g, -r + y = -g + 2*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, 10, 3 in decreasing order.\nAnswer: 10, 3, 2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:56 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-11)\/d*d)\/d**(-8))\/(d*d**(-6))**(-20) assuming d is positive.\nAnswer: d**(-103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 7*y**2 + 3*y - 7. Determine l(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1015509 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01063106324 to 5 decimal places.\nAnswer: 0.01063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/8)\/7*14. Factor t**3 - 3*t + 1 - 10 + c.\nAnswer: (t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596276240.\nAnswer: 2, 5, 7, 19, 56041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 304c4 (base 13) to base 4\nAnswer: 111013313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/24)\/((-6)\/(-3))*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121374 and 62286930.\nAnswer: 685156230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 29*o**2 - 49*o + 353. List the prime factors of d(14).\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(816\/(-2720)) - 37\/42?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 15. Let m be t(8). Let u(q) = 2*q - 1. Let l(v) = 4. Let b(d) = m*u(d) - l(d). Give b(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:43 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -349, -347, -335, -307, -257, -179?\n\"Answer: s**3 - s**2 - 2*s - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a. Let u(i) be the second derivative of i**4\/6 + 91*i**3\/6 + 6321*i. Give q(u(j)).\nAnswer: -16*j**2 - 728*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u + 55*u + 291 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-231)\/(-6))\/((-16)\/(-32)). Calculate the greatest common factor of 98 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 5:59 PM?\nAnswer: 347","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 - 2*h**2 + 2. Let j be k(2). Is (-2 - -3)\/((-2)\/j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.5 - -7.2. Sort 0.02, -1\/2, w in descending order.\nAnswer: 0.02, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102022102100012 (base 3) to base 6\nAnswer: 332503222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 28*h**2. Calculate a(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 15*y**2 + 12*y - 20. What is the units digit of l(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51123.84 centimeters to meters.\nAnswer: 511.2384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106825449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25482 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -914 <= -914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3799365018 is divided by 4180.\nAnswer: 4178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1488, -1360, -1008, -318, 824, 2532, 4920, 8102?\n\"Answer: 19*d**3 - 2*d**2 + d - 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 + a**2)*((4*a - 298*a - 56*a)*(-2 + 0 + 3) - 4 + 4 + 2*a).\nAnswer: -696*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*x**2 - 37*x**2 + x**4 + 4*x**5 - x**4 wrt x.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1\/2, -35020, -0.5 in descending order.\nAnswer: 1\/2, -1\/4, -0.5, -35020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, g: 8, i: 1, w: 1}. What is prob of sequence ig?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/285 - (-680)\/76?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -722, -1493, -2264?\n\"Answer: -771*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - (-12 + -4))*55. Suppose -3*z + 0*c + 380 = -c, 0 = 5*z + 4*c - r. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -0.98. Let b = -1 - o. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8498, 32580, 72722, 128924, 201186, 289508, 393890?\n\"Answer: 8030*w**2 - 8*w + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1646 <= -1866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(15\/2)*m**(-13) assuming m is positive.\nAnswer: m**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*(-1)\/6*-2. Suppose -2*j + 5 = -v. Let r = 9 + -4. Solve 0 = r*p - j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 13*q**2 + 10*q - 5. Let k be t(12). Let h = -18 - k. What is the remainder when 32 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71950, -143764, -215440, -286978, -358378, -429640, -500764?\nAnswer: -571750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/360 + p**5\/40 - 19*p**3\/6 + 7*p. Let s(v) be the second derivative of c(v). Give s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11*(l**5*l)\/l assuming l is positive.\nAnswer: l**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*j**4 - 409489*j**2 - 10*j - 379108728?\nAnswer: 16*j**3 - 818978*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310137 (base 9) to base 3.\nAnswer: 100100011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s**5\/5 - 2852*s**4\/5 + 50384*s**3\/5 - 331044*s**2\/5 + 785322*s\/5 - 103032 = 0.\nAnswer: 20\/19, 3, 9, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 5*t**2 - 5*t + 6 + 6*t. Let a(s) = -21*s**2 - 25. Let f(o) = -2*a(o) - 9*c(o). What is the first derivative of f(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 0*v - v)*(-3*v - 3*v + 4*v - 3)*(644 - 230 + 758 + (0 - 3 + 5)*(0 + 4 + 0)) to z*v + g*v**2 + y and give z.\nAnswer: 7080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f + 16. Suppose -3*s = -0*s - 18. Let m = f + s. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, -15, 3, 6, -1 in decreasing order.\nAnswer: 6, 3, 0, -1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1436)\/(-20) - (-1)\/5. What is the greatest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/68*2\/2*-56. Suppose -2*b - p = -51, 5*b = -p + 10 + 125. Let h = x - b. Solve h = -7*a + 2*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6361 - -5.8453. Let s = -24.8 + 30. Let p = g - s. Round p to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 19, 0.21, -551 in descending order.\nAnswer: 19, 0.21, -153, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 + (-4)\/24*-42 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1227.\nAnswer: -368.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 11 = -2*g, -52598*g + 58 = -12*y - 52597*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/9 - 568*v**3\/9 + 3334*v**2\/9 + 568*v\/9 - 1112\/3 = 0.\nAnswer: -1, 1, 6, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-6))\/(3\/144). Find the first derivative of -6*f + f - c + 5*f + 25*f**3 wrt f.\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121110112 - 11?\nAnswer: -10121110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 7*m**6\/36 + 25*m**4\/6 - 49*m**3\/3 - m + 26. Let s(c) be the third derivative of x(c). What is the derivative of s(g) wrt g?\nAnswer: 140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 2*x - 196*x**2 + 409*x**2 - 217*x**2. Let k(o) = -8*o. Calculate k(d(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:09 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-40)\/(-48) + 3241\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 183504955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -920\/4631 <= -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 9*g**3 + 12*g**3 + 9*g**3 - 6*g**3 + 2*g**3 + 5*g**3 + 6*g**3 - 3*g**3 + g**3 + (2*g**3 + 4*g**3 - 7*g**3)*(0 + 3 - 5).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 467655743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071 less than 1019263384?\nAnswer: 1019263384.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by -3 - ((-2)\/7 + 1626\/(-42))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z = 40*z + 492. Suppose -5*q + 6*q = -52. Let b = q - z. Calculate the greatest common divisor of 30 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 22 - (2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(19) + sqrt(19) + -1 + sqrt(19) + -2)**2)*-5.\nAnswer: -900 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61907 = 5*t - 2*x, -4*t + 6*t + 3*x = 24759. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 81 = 3*x, x - z - z - 36 = 0. Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.4, -1495?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18.06973 milligrams?\nAnswer: 18069.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 23588 = -760. Is -1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187360 rounded to the nearest one thousand?\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 26 - 9)*(-9*k + 14 + 5 - 16) as j + p*k and give p.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1667275*z**2. Let p(a) = -11*a. Calculate g(p(i)).\nAnswer: 201740275*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 9 + 3)*(-251*f**2 + 282*f**2 - 917*f**2) as o*f + m*f**2 + q and give m.\nAnswer: -15062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3\/2*b**2 + 0 - 1\/2*b**3 - 1\/2*b**5 + b - 3\/2*b**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 973935 divided by 5\nAnswer: 194787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 184 = -o - 4*k, 3*o = k + 138. Suppose -3*u + o + 89 = 0. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3725637 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 15 + 3. Let k(i) = -i**3 + 6*i**2 - i + 7. What is the units digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8478 and -127\/108.\nAnswer: 16956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2 + 1177720*o + 86689024900 = 0.\nAnswer: -147215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 2. Suppose -2*m + 70 = 3*c, -4*c + 2*m = 3*m - 85. Calculate the lowest common multiple of c and z(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 6:26 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:26 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7583334 divided by 105.\nAnswer: -2527778\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*c - 109 = 0, -5*w - 7*c = -4*c - 91. What is the smallest common multiple of w and 68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15545058 by -1.\nAnswer: -15545058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26253972 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = -s, w + 4*s = -17. What is l in -9 + w*l**5 + 0*l**2 + 15*l - 4*l**4 + 6*l**2 - 18*l**3 + 7*l**4 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -5*j - 19. Let i = -7 - j. Suppose -b = i*w - 2*b - 781, 0 = w - b - 153. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/9)\/((-1)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051720 (base 8) to base 7.\nAnswer: 2260552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 22*f - 2280\/7.\nAnswer: -2*(f - 57)*(f - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 451039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((117\/90)\/(-13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {o: 2, t: 1, m: 1, e: 1, v: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, 0.2, 19\/29?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 1. Let k be x(-1). Let p(n) = 3 - 2*n**2 + k*n - 16*n - 2*n**2 + 5*n**2. Let b(o) = o**2 - 11*o + 4. Let t(z) = -4*b(z) + 3*p(z). Factor t(f).\nAnswer: -(f - 7)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66571464 (base 8) in base 3?\nAnswer: -1000000000021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = -13*u + 175 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 25*m**2 - 28*m - 1249. Let f(j) = 16*j**2 - 18*j - 833. Determine -14*f(y) + 9*n(y).\nAnswer: y**2 + 421","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1. Let h(q) = -q**2 + 5*q - 3. Let k be h(4). Let d(i) = -6*i - 15. Let r(v) = k*d(v) + 6*j(v). Differentiate r(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 53 = -m - 29, 0 = 4*b + 3*m + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*i + 105, -3*x - 115 + 415 = -3*i. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 301982938*u**5 - 796101460*u**2 wrt u?\nAnswer: 18118976280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1213717 rounded to three dps?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l = -95 - 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13928023, 27856055, 41784087, 55712119?\nAnswer: 69640151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from skkkkksrsks?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + k - 4*k + 6 = 0, 3*d + 2*k = 4. Suppose -2*t + q + 54 = d, 4*t - 41 - 71 = 3*q. Solve l + b - 4*b + 5 = 0, 5*l + t = -3*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/196)\/(((-24)\/(-336))\/(1\/(-4)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -46*i + 1760. Let l(t) = 17*t - 6. Let s be l(4). Let b be 19\/i + s\/(-341). What is the nearest to -4 in 5, b, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50806 divided by 2674?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 2*u)*(-47899 - 1156*u**2 + 47899).\nAnswer: 2312*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 81891.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 13*d**2 + d - 7. Let h be g(13). Suppose -4*m + 4*x = -56, -3*m + h*m - 32 = x. What is the highest common divisor of 36 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.066 or -2?\nAnswer: -12.066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by -17141\nAnswer: -500\/17141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/1 - -2)\/1. Let n be 0 + (-6)\/d - -3. Let l be (0 - n\/5)*-5. Solve -3 = -2*x + l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 4*x**2 - 3. Let a = 19 - 8. Suppose g = s + 4*g + 15, 5*g = 3*s - a. Let w be v(s). Solve -5*j - 10 = w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-396)\/(-165))\/(6\/20) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.68 and 472716372.\nAnswer: 472716372.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 - -604\/3. Suppose -l - 4*l + 15 = 0. Let x be 1*(0 + -3) + 4 - l. Which is the third biggest value? (a) x (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8914*c + 8204*c - 17104*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 380 or 2\/111?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35963*t - 35908*t - 2970 = 0 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 h, and 1 m when four letters picked without replacement from {h: 3, u: 1, r: 7, g: 1, e: 3, m: 2}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 4:22 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*n + 76, n + 35 + 59 = -3*d. Let m = -57\/2 - d. Let x = 4.6 + 0.4. Which is the closest to -1\/2? (a) m (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 14*u = -12. Suppose 13 = m + 3*i + u, 3 = -2*m + i. Suppose 285 = 5*o + 4*b - b, m = b. Which is bigger: 56 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102103301302 (base 4) in base 2?\nAnswer: -10010010011110001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + 1 + sqrt(5) + -2*sqrt(5)*-1.\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*p + 4, 0 + 6 = 2*j - p. Find f, given that f**4 + 3*f + 7*f**j - 8*f**3 - 2 + 5*f**3 - 6*f**4 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3690764666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5103*c - 473*c + 80581 = 39409 - 259778 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139913 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 232376067 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 + 221. Suppose 4*n - 10*n + i = 0. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*h - 2*a, 3*a - 2 = 5*h + 2. Suppose h = -3*w + 13. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r - 3*y = 3, 0 = -4*r + y + 1. Let u = 28343 - 28341. Solve -u*w + 11 = 3*l, 3*l - 3*w + 9 = -r*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 + (-4 - -3). Let m = -0.01 - -0.01. Which is the closest to m? (a) 2\/5 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 2 = -9*f. Let t be f\/(-5 - (-9)\/3). Let u(z) = -z**2 - z - 9. Let y be u(0). Put y, -2, t in ascending order.\nAnswer: y, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49186.91 - -49187. Let d = -0.2 - 0.1. What is the nearest to 1 in d, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 5*n - 2. Let o be -9*(-3 + 2)\/3. Determine q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 5. Let s be c(-5). Let y = -6 + s. Calculate the highest common divisor of y and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272749176 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let z = -57 - -61. Sort r, 2, z in descending order.\nAnswer: z, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 1. Let f be 5*(16\/24 + (-84)\/45). Let g(k) = -17*k - 5. Let q(w) = f*s(w) + g(w). Let z(h) = -14*h - 12. Calculate -22*q(c) - 2*z(c).\nAnswer: 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 440139399 divided by -301259\nAnswer: -1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 2*u + 2. Let o(r) = -r + 4. Let y be o(6). Suppose 4*p - 14 = -3*p. Let d(c) = -c + 7*c**2 + 0 + 7 - p - 4*c. What is y*d(f) + 5*h(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:21 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000053650306 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012222233233 + 13?\nAnswer: 1012222233312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 277*g**2 - 1 - 2 - 71*g**2 - 4*g. Let q be h(-1). Let u = 311 - q. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 - (-1230)\/(-40) - (-1 + -9) and -65\/14046.\nAnswer: 28092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3585 times -499\nAnswer: 178.8915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1058 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -491, 468, -0.135.\nAnswer: -491, -0.135, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*l**3 - 237*l + 16668 with respect to l.\nAnswer: 81*l**2 - 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let v(q) = -3*q**2. Let f(h) = 3*v(h) + 5*x(h). Suppose 0 = 4*u - 2*u - 28. Let c(z) = u + z**2 - 14. What is c(f(y))?\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 48852712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21587.02 millimeters to micrometers.\nAnswer: 21587020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*j - 3. Let g(n) = n**2 + 3*n + 3. Let t(f) = 0*f - 2 - 3*f**2 - 2*f + 2*f**2. Calculate j*t(o) - 2*g(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 277857520 a multiple of 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 136426, 545726, 1227902, 2182960, 3410906, 4911746?\n\"Answer: j**3 + 136432*j**2 - 3*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -56126878.\nAnswer: -56126878.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13434176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 1 + 3*h)*(-26 + 28 - 97) + 3 + 24 + 134*h - 132*h.\nAnswer: 97*h - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.62 - 20.12. Sort -35, -4, c in descending order.\nAnswer: c, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 13\/14 (b) 2 (c) 8.94 (d) -2\/11 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 4, -5, 1468 in decreasing order.\nAnswer: 1468, 4, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11984 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -575*g**4\/4 + 2*g**3\/3 + g**2 - 1. Let s be b(-1). Suppose -h = -6*h + s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.351 times 0.1\nAnswer: -2.9351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 134\nAnswer: 41\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -39. Suppose 5*f - 70 = -5*q, 4*f - q = -3*q + 52. Let a = u - f. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -31 + -1 + (0 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6643 + 7853 = 32*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11189 + 25972. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.9 * 11\nAnswer: -97.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -483.05 + 469. Let p = s - -13.8122. What is p rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -241103220120?\nAnswer: -241103220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4 + sqrt(1620) + (1 + sqrt(1620) - sqrt(1620)) - sqrt(1620)) + sqrt(1620)*-1 + 3)**2.\nAnswer: -1728*sqrt(5) + 10104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 811 = -0*x + 3*x, 605 = 3*o - x. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -246 - -274. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0070256 (b) 24 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.40676 millimeters to meters.\nAnswer: 0.05040676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-284)*36\/(-9). Suppose -4*m - s + 19 = 0, 5*m + 8*s = 9*s + 26. Sort -0.1, 4\/5, i, m.\nAnswer: -0.1, i, 4\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9))**(-5\/3)\/(z\/(z\/(z*(z*z**0)\/z))*z**(8\/3))*(z**4\/z**(2\/9))**(-10\/3) assuming z is positive.\nAnswer: z**(-143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -129132.124086343?\nAnswer: 129132.124086343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/11, -0.2, -0.0073?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -20*n + 48*n - 24*n. Let g(d) = -13*d**2. Calculate g(x(t)).\nAnswer: -208*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 8*s + 0*s)*(6 - 3 - 1) in the form x*s + p and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 631431403 equal to 631431403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2 + 3 - 6 - 4 + (2 - 3 + 3)*(-3 + 7 - 2) + 2 - 6 + 2)*(2*l + 10*l - 4*l).\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-272)\/(80\/(-5)) + -17. Let j(w) be the third derivative of 0*w + 0 - 1\/60*w**5 + z*w**3 + 29*w**2 + 1\/24*w**4. Factor j(c).\nAnswer: -c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751724878 a multiple of 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/28 - 22*y**3\/21 + 41*y**2\/14 - 20*y\/7 + 221. Suppose i(d) = 0. What is d?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -2, 5, 4, -4 in increasing order.\nAnswer: -4, -2, 4, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2914 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29 and 6812.78.\nAnswer: 6783.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + j = -j - 33, -5*j = -u + 2. Solve 3*x = -8 - u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/1800*-65)\/((2\/6)\/1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -r - 0*r. Let x = -4 + 62. Let d = x + r. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 247*m**2 - 7571*m - 5557. Calculate h(211).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6.01. Let i = n + 0.27. Let k = i - 0.21. What is the biggest value in -2, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + v + 2, 11*v = 3*l + 9*v + 2. Find the first derivative of -41*u**2 + 8*u - 41*u**2 + 84*u**l - 41 wrt u.\nAnswer: 4*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-3*d + 4*d - 2*d)*(-2*d**2 - 3*d**2 + 3*d**2) + (274 + 294 - 177)*(1 + d**3 - 1).\nAnswer: 393*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 64.037 and 0.492322.\nAnswer: 64.529322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0 + 0*n - 2*n**2 + 0*n**5 - 1\/24*n**4 + 1\/60*n**6 + 0*n**3. What is the second derivative of k(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 4. Let i(v) = 5. Let r(w) = 3*i(w) - 4*k(w). List the prime factors of r(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -2*y + 6*y, 0 = -3*c - 4*y - 8. Suppose 3*f - 15 = 3*z, -7 = -z - 7*f + 2*f. Let b be c - (-1)\/(-2 - z). Solve 13 = 3*i + b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/(-21) + 106\/30)*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408350 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 175783857 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**3 + f**2 + 4*f - 14. Is k(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*k**3 + 15*k**4 - 13*k**3 + 0*k**2 - 23*k**3 + 4*k**2 - 2 in the form n*k**2 + r*k**4 + h + v*k**3 + a*k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2300 + 2322. Solve -g - l = 4*n, -4*g - n - 1 = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*l**2*t**2 + 10*g*l**2*t + g*l + 3*g*t**2 - 74*g*t + 2*l**2*t**2 + l**2*t - 11*l*t**2 + 1 wrt t.\nAnswer: 2*g*l**2 + 6*g + 4*l**2 - 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4 + 1 - 3 + v. Let s(b) be the second derivative of -b**5\/20 + b**3\/6 - 89*b. Calculate m(p) + 2*s(p).\nAnswer: -2*p**3 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*x - 25*x + 252. Solve -2*z + 3*w = 17, -3 = -4*w + x*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 16290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - -102. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*j - 304*j + 96*j - 389*j.\nAnswer: -723*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 minus -0.9?\nAnswer: 311.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4209.8303 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39580 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1022680 + 1322.\nAnswer: 1024002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -22 (c) 0.5 (d) 1351.9 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (215 + -194 + 280\/(-12) + 4)\/(1070\/(-12)).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2850 - 165. Suppose 5*x + 0*x = t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 + 134. Sort 12, s, -12 in ascending order.\nAnswer: -12, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012469059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (24 - -4 - (6 + 2 + 7 + -8))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528) + (-2*sqrt(528) - sqrt(528)) + sqrt(33))\/(sqrt(44)\/((sqrt(4) - 1*sqrt(4)) + sqrt(4))).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 154 = -5*b - 4*t, 0 = 3*b - 3*t - 96. Suppose -b*l = -22*l - 36. Solve -l*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200101220011 + 10?\nAnswer: -200101220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1546 = 74*g - 75*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from npnppnppppnpnpnpp.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13175224?\nAnswer: 2, 1646903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24253020990574 take away 4?\nAnswer: 24253020990570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-160)\/(-64)*188\/10. Let p(z) = 40*z + s*z - 92*z. Let v(f) = 14*f**2. Determine p(v(g)).\nAnswer: -70*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -39044877 rounded to the nearest 100000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1525 divide 137876378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 65*t**3\/3 - 11*t**2\/2 + 3451. Let k(g) = 2*g. Give k(w(d)).\nAnswer: 130*d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000837118 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(5\/4)*l*l**8*l*l*(l*l\/(l**(2\/9)*l))\/l*(l\/(l*l**(2\/3)))\/l*(l*l\/l**(-1)*(l\/(l*(l\/(l*l**0*l))\/l))\/l)**(-6\/7) assuming l is positive.\nAnswer: l**(1369\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2.5. Let g = 72.99 - 68.99. What is the nearest to 11 in x, -4\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 9. Let z = 11 + -10. Suppose -z - 3 = -x. Calculate r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 715 and 1807508?\nAnswer: 1806793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24848 at most as big as 124237\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, b: 1, x: 16}. What is prob of picking 2 x?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2359 + -7079\/3. Suppose -34 = -2*l - 3*l - 2*r, 4*r - 4 = -2*l. What is the nearest to l in 3\/5, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030242 is divided by 1726.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 13 = -3. Suppose -2*g = 3*z - 17, 5*z - 5*g + g = 21. Solve -5*h - 4 + 2 = k*q, h - z*q = -12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057985019 to the power of 1\/3, to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.758612 + -0.152512. Let b = p - 11.6. What is b rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: a7195 (base 11) to base 9\nAnswer: 256830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -44*s - 848. Calculate u(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 5*w - 13 + 2, -5*n + 5 = 5*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*n - 46*n + 3235 + 3332 = -46*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 x when four letters picked without replacement from eexxxwwxww.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)\/(4\/(-96)). Calculate the least common multiple of 6\/1*80\/f and ((-8)\/(-3))\/((-4)\/(-30)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/27)*u*u\/u**(1\/4)*u*u)**(-29\/3))**(-3\/4) assuming u is positive.\nAnswer: u**(14645\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 2*q**2 - 3*q - 6. Let g be i(4). Calculate the remainder when (7\/g)\/(1 - 137\/138) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:51 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:28 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69037*u**3*z + 14*u**3 + 1160*u**2*z + 13*u**2 + 2*u*z - 9*u + 2 wrt u?\nAnswer: -414222*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 11. Suppose 0 = 5*q - 3*g - 50, -4*g - 43 = -2*q - 9. Let c be t(q). What is the nearest to -0.3 in -1\/2, 8, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k. Let v be z(2). Let l(a) = a**2 + 10*a + 14. Let n be l(-10). Calculate the highest common factor of v and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5047259 less than or equal to -5047276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -81*i + 2726. Determine v(32).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 14*a = -6. Let k be 22\/8 - a\/4. Suppose 0 = 4*r - r. Solve 4*q + r*q - 2 = -5*v, 5*q + 4 = -k*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 - 3*v**4 + 4*v**4 + ((2*v + 0*v - v)*(-3 + 7 - 3) + v + 12 - 12)*(-2*v + 2*v + v**3) - 4*v**4 - 5*v**4 + 5*v**4.\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7868 + 9948. List the prime factors of i.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:29 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -946 - 4?\nAnswer: -94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (495\/(-165))\/((34\/17)\/((-6)\/(-9))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41078 and 114?\nAnswer: 123234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66415273 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -3*q. Let w be (q - 1) + (-7 - -7). Suppose w*m + 2*s - 12 = 0, 4*m + 2*s - s = 24. Calculate the remainder when m is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42015, 41924, 41831, 41736, 41639?\n\"Answer: -u**2 - 88*u + 42104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -124b16?\nAnswer: -124b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196957.\nAnswer: 89, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*l - 31064 + 31064)*(0 - 3 + 2).\nAnswer: 103*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159063 - -228254. What is the ten thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*q**2 + 30*q**2 + 48*q**2)*(-5*q**2 - 3*q**2 - 6*q**2).\nAnswer: -1736*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 6293 - 21063 + 1835458*a**2 - 7395*a - 1835463*a**2 = 0. What is a?\nAnswer: -1477, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/80 and -2 - -7 - -5*2097\/(-2520).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/((-6)\/(-35)*160\/384).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2. Let h be (-1)\/(-3)*(-1 - 2). Let n be h\/5 + (-11)\/(-5). Let j(k) = -6*k + 2*k - 5*k + n*k. What is j(t(w))?\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:48 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose 0*a = -n*a + 20. Suppose -a*b = -3*b - 4. Solve f = b*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1613202?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20632 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(132)\/(sqrt(12)*-2)*-1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -51. Does 5 divide (32\/r)\/((-12)\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-70)*84\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(495) + sqrt(495)*2)*-2)\/(sqrt(550)\/sqrt(2) - 1*sqrt(44)\/sqrt(4)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 12*v + 8. Let q be f(4). Suppose -q*p - 4*c = -3*p - 336, 124 = 2*p - c. What is the highest common divisor of p and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**9\/504 - n**7\/210 - 11*n**5\/12 - 8*n**2 - 11*n. What is the third derivative of q(p) wrt p?\nAnswer: 120*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 21*w**5\/5 + 335*w**3\/6 + 11*w**2 + 19*w. What is the derivative of l(q) wrt q?\nAnswer: 504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 1, f: 2, v: 1, r: 1, c: 2}. What is prob of picking 1 c and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and 12.054855 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/19, -0.102, 1, 29, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.73 - -0.93. What is the third biggest value in o, -5, 1.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 5*a, 3*f - 570813 + 570837 = -5*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*p - 114*p - 244*p + 2004340 = 0. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168\/25, -37616, 1 in descending order.\nAnswer: 168\/25, 1, -37616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - (-16)\/(-52). Let y = 4\/13 + d. What is the second smallest value in y, -1, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201020 + -2221111110?\nAnswer: -10001012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*k + 4*k. Let b = 16 - k. Let t(s) = -s**2 + s - 1. Let w(g) = -8*g**3 - 2*g**2 + 26*g + 2. Let n(i) = b*t(i) - w(i). Solve n(q) = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 19*n + 32. Calculate s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 11. Let u(z) = z**2 - 2. Suppose 3*i = -5*v + 21, 2*v = -2*i + 5 + 5. Let n(f) = i*w(f) - 11*u(f). Let o(t) = -7 + 7 + 3*t. Give o(n(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (-41 - (-56 - -22)) + -28?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)*(x*x*x**(2\/3))\/x)\/(x**(2\/7))**(-32) assuming x is positive.\nAnswer: x**(1879\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -1, 0 = s - 4*l + 11. Suppose -34 + 9 = -s*r. Calculate the greatest common divisor of 55 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, -2\/3, 11\/3, -2 in descending order.\nAnswer: 11\/3, -2\/3, -2, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b - 7. Let z(m) be the third derivative of -m**4\/6 + 2*m**3\/3 + m**2 - 2. Determine -4*q(d) - 7*z(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1300508 and 15488.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -1 - 9*(0 + 3). Let n = -30 - h. Is (-22)\/((-2)\/(-44)*n) + -2 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p + 1. Suppose 21*k - 343 = 70*k. Let o(v) be the second derivative of 13*v**3\/6 - 3*v**2\/2 + 13*v. Determine k*i(t) - 3*o(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(1\/3)*v)\/v)**25*v*((v\/v**(1\/2))\/v)\/v*v*v*v**(-8) assuming v is positive.\nAnswer: v**(311\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -41, -7, 41, 103, 179, 269?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3\/6 - 6*i**2 - 6*i. Let b be q(11). Which is smaller: b or 2\/57?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1616 - 723. Let v = o + -615. Let s = -104 + v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 3*z - 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*w - 46, 3*w - 118 = -3*v + 20. Let c = 25 - v. Let f = c + 37. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15 and 8108355.\nAnswer: 8108340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349215330 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {h: 1, r: 3, g: 1, p: 1, k: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -35*o**3 + 337*o**2 + 973*o + 273. Give s(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0*a**2 - a + a**2 + 374 - 375. Let x(n) = -8*n**2 + 4*n + 9. Give -x(b) - 6*z(b).\nAnswer: 2*b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13187322 = -111*t - 137*t - 73*t. Is 74 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 + 14 + (-3 + 1 + 1)*(-5 + 3 + 3))*(-44*s**2 + 26*s**2 - 29*s**2).\nAnswer: -658*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 162 = 18. Let j(t) = -t - 11. What is j(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 4*h**2 - 5*h + 3. Suppose -p - w + 72 = 0, -p + 2*w + 206 = 2*p. Suppose 2*r = 5*r - 15, -r + p = -5*f. Let a = f - -18. What is k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 20*u**2 + 20*u - 17. Let w be s(-11). Solve -w*d + 4 = 4*x, 0 = 5*d - 7*d - 3*x - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d - 8. Suppose 0 = -3*m - 5*t - 25, d*m + 10 = -t - t. Which is the third smallest value? (a) 3\/5 (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + r + 1. Let x(z) = -7*z**2 - 6*z - 8. Let k(w) = w**2 + 6*w + 2. Let h be k(-4). Calculate h*j(o) - x(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 0 - 2 - 3*u + 2. Let k(v) be the third derivative of 49*v**5\/60 + 281*v**2 - 3. What is w(k(b))?\nAnswer: -147*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1024\/128 + 28\/(-2). Is 78 a factor of -1 + n + 9 + 1416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174 - -177. Suppose 2*l - 15 = -j*l. What is the nearest to 4 in 3\/7, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - 1 - (-1413 + 1406)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + 375\/(-33) + (-4 - 2 - -9).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144154 + -172564?\nAnswer: -28410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -13*p**6\/120 - p**5\/15 + 15*p**2. What is the third derivative of j(i) wrt i?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15017 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/4 - 206060*h - 42460723600 = 0.\nAnswer: -412120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -1*(0 + -1)*-2. Suppose g = s - 3*o - 6 + 13, -14 = -4*s - 2*o. Factor 3\/2*b**s + 0 + 3*b.\nAnswer: 3*b*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -3*l - q, 5*l + 4*q = 9. Let h be l\/((20\/8)\/(-5)). Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -31*x**3 + 8*x**2 - 210*x + 7. Let l(s) = -26*s**3 + 7*s**2 - 210*s + 6. Determine -6*l(q) + 5*o(q).\nAnswer: q**3 - 2*q**2 + 210*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*u + 18 = -93*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29777537 to the nearest integer?\nAnswer: 5457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 21?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 42 = -4*l, j + 15 = 5*j + 3*l. Suppose -4*y + j = 30. Let a(w) be the first derivative of w**3\/3 + 5*w**2\/2 - 7*w - 40. What is a(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -99 (c) 1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111100100101 - 101001?\nAnswer: 10100111011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 16 + 18)*(1216 - 1216 + 17*z) as k + b*z and give b.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319025.\nAnswer: 5, 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*u - 18 = -170*u + 3*b + 46, -22 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8)\/(1*sqrt(400) + sqrt(400) + sqrt(4)) + ((sqrt(20)*4)\/sqrt(10) - (sqrt(14)\/sqrt(63) - sqrt(2))))**2.\nAnswer: 2178\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 9*s + 9. Let n be x(7). Let g be (152\/114 - (-29)\/(-6))*156\/546. Sort g, 14, n.\nAnswer: n, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/485 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 88*y**2 + 137*y - 3084. Give b(-86).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:42 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 212232518 divided by -37?\nAnswer: -5736014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16608*b + 11. Is w(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68034?\nAnswer: 2, 3, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -3 + (4 + -10 + -8 - -3).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let y(c) be the first derivative of -53*c**4\/24 - 7*c**2\/2 + c + 104. Let a(l) be the second derivative of y(l). Give h(a(x)).\nAnswer: -106*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 4317232?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*i**2 - 55*i**2 + 100*i**2 + 12*i**3 - i as u*i**2 + d + p*i + m*i**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.23 and 1596054368?\nAnswer: 1596054368.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 6*u - 4*u + 15, -5*u = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5622550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.64\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 4*q**2 - 2*q - 4. Suppose 64 = -3*o + n, 0 = -2*o - 4*n + 2 - 40. Let j(u) = 2*u + 47. Let k be j(o). What is w(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-o - 2 + 2)*(2 - 3 + 2) + 0*o + o + o)*(54*o**3 + 107246*o**2 + 36 - 107246*o**2) in the form a*o + m*o**2 + r*o**3 + j*o**4 + h and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 1392*x**3 - 2753*x**3 + 1388*x**3 as t*x + h*x**3 + q + k*x**2 and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -3724?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22825 and 3025?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*d = -12, 0 = 18*s - 23*s - d + 43. Suppose 0 = 5*k - 0*k + 5. Let q be ((-15)\/20)\/(k\/4). Solve -3*h - s = 0, q*v + v - 4*h = 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/72*w**4 - 1\/120*w**5 + 0*w**6 + 0*w**3 - 27*w**2 + 0*w + 1\/1260*w**7 + 0. Solve s(g) = 0 for g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*c - 484 = 2762, 3*c = 3*z - 3276. Which is smaller: z or 1089?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 0.388 (c) 1 (d) 54\/13 (e) -38\/9 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -23, -47?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-35)\/(-21))\/(36\/6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 8*j - 3*j. Let u(i) = -i**3 - 5*i**2 + 4*i + 1. Is u(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + -5 + sqrt(1300)*-1 + (0 + sqrt(1300))*-5 + 5 + 3)**2*-2.\nAnswer: -93608 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/((p\/(p\/(p*p**(1\/4))*p*p))\/p)*(p\/((p*p*p**(-3\/7))\/p))\/(p**(1\/7)\/p))\/((p**(-1\/8)\/(p*p**(-2\/11)))\/(p**0)**(-11)) assuming p is positive.\nAnswer: p**(2297\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-10)\/(-8)*-2. Let q be (2 - 1)*2\/(-7). What is the second smallest value in a, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72709)\/(-41548))\/(14\/(-12))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15172718.9 rounded to the nearest one hundred thousand?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 438600 to the nearest 1000.\nAnswer: 439000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 + 1319426*x\/11 + 5277736\/11.\nAnswer: -2*(x - 659717)*(x + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19838362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.26 - -6.64. Let i = -8 + u. Let f = 250.6 - 251. Which is the nearest to i? (a) -4 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586800 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*i - 87 = 0, 2*f - 64 = -i + 5. Suppose 37*k = f*k - 20. Let z be (2\/k)\/(96\/180). What is the closest to -2\/7 in z, -2\/99, 0.3?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360201299.\nAnswer: 360201299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)\/x**(-32\/5))**(-2\/33))**22 assuming x is positive.\nAnswer: x**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 19 = -4*t. Suppose 10 = 2*z + t. What is the remainder when (-3)\/(-2)*10\/z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2425\/4 + 606. What is the nearest to 0 in 0.4, 2\/3, f, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, a: 1, m: 2, x: 7, n: 2}. Give prob of picking 2 k, 1 m, and 1 x.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, -1\/76, 4\/7?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 9. Let b be (-9)\/(15*(-3)\/m). Is 2 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03788305601 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 78 = -2*x. What is the units digit of x\/2*(1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - i + 1 + (2 - 2 + 1)*(-5*i + 4*i + 0*i) + 1 - i - 1 + 0 + i + 0 + 2086 - 4093 - 8*i + 2046.\nAnswer: -10*i + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 16. Determine f(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {e: 1, f: 2, c: 1, b: 2, y: 9, v: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15536134 - -19423866. Round g to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 + (-8)\/((-48)\/(-101)) and 10\/53?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = -12. Suppose 14 = t + 3*s, t + 2*s = -3*s + w. Calculate the remainder when t is divided by (2 - 0) + 9 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/27)\/((-4)\/(-18))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446264 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Let z = d - -2. Let o = z - 5.7. Which is the second biggest value? (a) 4 (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3139 is divided by 157?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*y = -42 + 32, -2*w + 5*y = 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2 - 2*v**2 - 2 - 7*v**2 + 8*v. Let y be a(6). Calculate the highest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097685 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 35) + -4 + 14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 9*l + 5*l)*(-1180*l - 29 - 1573*l - 11 + 40).\nAnswer: 13765*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/5 (b) 0.1 (c) -0.2 (d) 2\/19 (e) 0 (f) 85 (g) -0.071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 196782 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:48 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 61. Solve 3 = -h*q + 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 16352448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at least as big as 1532755\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -726*l + 492*l + 2574 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14673*r + 14557*r - 43902*r + 14671*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 508 + 329. Let o = -2039 + j. Let w = o - -4755\/4. Find the common denominator of w and 79\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1527*t**2. Let s(g) = 25*g**2. What is a(s(r))?\nAnswer: -954375*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9530 - 46788 = -53*h + 1803. What is the highest common divisor of 201 and h?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*c - 35 = 0, 0 = -g - 11*c + 9*c + 5. Put -180, g, -4 in decreasing order.\nAnswer: -4, g, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 48*r**2 - 52*r + 33. Determine t(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40526 (base 7) in base 13?\nAnswer: -4652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = -2*r, 4*h - 4 = 6*h - 2*r. Let y = h + -3. Let s(o) be the second derivative of -o**4\/12 - 5*o**3\/6 + 7*o**2\/2 - 3*o. Give s(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, -61, -65?\n\"Answer: -4*l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19921699 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -125*k - 3268. What is the thousands digit of t(-83)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/5 (b) -5 (c) -1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/40 + 5*b**4\/6 + 19*b**3\/12 - 301*b. Determine v, given that i(v) = 0.\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*a - 505 + 505 + 584*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287 - 266. Suppose 0 = -0*x + c*x - 7161. List the prime factors of x.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**20*h**(17\/5)*(((h**(-20)\/h)\/h*h)\/h)\/h**(-2\/33))**(10\/7) assuming h is positive.\nAnswer: h**(482\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-3*g + 5*g + 0*g) + 3*g - 4*g + 18*g - 371 - 11*g + 371 + (-3*g + 2*g - g)*(0 + 0 + 1).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 5*g**2 + g + 17. Let h be d(5). Let t = -18 - -19. Suppose 5*a - t = 109. What is the greatest common factor of a and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 138, 128, 104, 60, -10, -112?\n\"Answer: -n**3 - n**2 + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 4*n**2 + 4*n + 5. Let j be o(-3). Suppose 4*q + 4*i - 14 = -62, -j*q + 2*i = 36. Let u = q - -47. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*d + 4*q, -2 = -169*d + 168*d + 3*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4277, 4256, 4201, 4094, 3917, 3652, 3281?\n\"Answer: -3*v**3 + v**2 - 3*v + 4282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-24))**(-19)*(f**32\/f)\/((((f**15*f)\/f)\/f)\/f))**(-48) assuming f is positive.\nAnswer: f**(-21840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - l**3 - 8*l**3 + 3*l**3 + 7*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 13*o**2 - 14*o + 2. Let s be u(14). Find the third derivative of -4*r**6 - 2*r**5 + s*r**5 - 2*r**2 + 11*r**6 wrt r.\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/6 + s. Let a(r) = -143 + r**2 + 143. Determine t(a(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445022349 is divided by 817?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 43*d - 2. Let s be o(2). Let b be 3 - s\/3*-1. Let u = b + -431. Round u to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -7. Let j = 8 + b. Suppose -5*h = 4*x - 148, 0*x - 4*h = j*x - 111. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**8\/168 + 2*f**7\/105 - f**5\/15 + f**4\/12 - 22*f**2. Let x(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 23441248.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -2\/9, -0.01035, 0.09, 0.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*y - 12 = 0. Suppose y*s = 3*o - 3 - 3, -5*o + 28 = 4*s. Suppose 3*p - 4 = s*p. What is the remainder when 5 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 15229773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45865134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(180)\/(sqrt(9) + (sqrt(9) - 2*sqrt(9))*6))\/(sqrt(4) + sqrt(36)\/(sqrt(9)*-1) - (sqrt(144)\/sqrt(3))\/sqrt(12)))**2.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*n - 16 + 3*n + 18 in the form f + r*n and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1700) + -1))**2 + 2 - ((sqrt(68) - (2*sqrt(68) - sqrt(68)))*-5 - sqrt(68))\/(sqrt(484) + sqrt(484) + sqrt(484) + 2*sqrt(484)).\nAnswer: -27499*sqrt(17)\/55 + 42527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 6\/5 (c) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -126037222 from -38.\nAnswer: 126037184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88148374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1499*l**2*x + 4*l**2 - 46*l*x + 529*x wrt l.\nAnswer: -2998*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - d + 3 = 8, -9 = 3*d. Let p be -1 + (b - 8 - -2). Is p\/(-4)*32\/4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 273293 and -0.6949919.\nAnswer: 273292.3050081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dugq when four letters picked without replacement from {q: 1, g: 1, d: 1, t: 1, u: 1, e: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53210 (base 6) to base 5.\nAnswer: 212311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 60. Let n = w + 14. Suppose n*r - 3*b - 103 = 2*r, 4*b = 3*r - 64. Does r = 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Let x be -3 - (5 + -3 + -26). Let z = x + -16. Solve -s*m - r + z = -0*m, -3*m + 3*r + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104 + -28 + 4 - -31) + -2.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 62833, -5, -1 in descending order.\nAnswer: 62833, 6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 24*p + 116. Let c be r(28). Solve -c*g + 2*a = 16, -14*g - 20 = -9*g - 3*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4521\/2 - -2262. Determine a, given that -9\/4 - b*a - 1\/4*a**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16774 + -186.\nAnswer: 16588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98509235.88388062 + -98509235. Let h = 0.36388108 - z. Let l = h - -0.52. What is l rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696 - (-17)\/((-34)\/18) is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -637, -3\/2, 5, 84, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + o**2 - o**2. Let m(f) = -f**2 + f**2 + f**2. Determine m(y(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbbbbffbb. What is prob of picking 2 f and 1 b?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from {s: 1, g: 2, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*a + 2*c, -2*a = -4*a + 4*c - 32. Let i = -17 - a. What is the remainder when (258\/301)\/((-82)\/84 - i) is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*v - 4*t, 0 = 102*v - 97*v + 4*t + 46 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 1)**2 + sqrt(3))*-5*-2 + -2*((sqrt(27))**2 + 4) + (sqrt(105)\/(sqrt(14)\/sqrt(2)))\/(sqrt(5) + (sqrt(5) + -3*sqrt(5) + sqrt(5))*4).\nAnswer: -22 + 89*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 13\/2*l**2 + 4\/3*l**3 + 0*l**5 + 0*l**6 + 28 + 1\/7*l**7 - 47\/4*l**4 + 0*l. Find the third derivative of t(o) wrt o.\nAnswer: 120*o**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17249 is divided by 639.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 3*n**2 - 3*n - 2. Let r be o(-2). Suppose -2*g + 6 - 2 = r. Let m(x) = -x**2 + 7*x**2 - 3*x**g. Let c(q) = -q. What is m(c(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:21 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 + -532?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 707\/(-2)*(-7 - -9). Let b = 732 + p. Calculate the remainder when 598 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = -11*f + 30194. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -83, -84, -85?\n\"Answer: -q - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160704 and 95139?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1553*g - 1124. What is the tens digit of c(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-1*3\/27\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 5*t**2 + 6*t + 5. Let k be y(-6). Suppose 2*f + 6 = k*f. Suppose -6*n + 12 = -f*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.042343 and 0.2?\nAnswer: 0.242343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2928 - -8?\nAnswer: -2920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150484 divided by -34.\nAnswer: 4426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 740*b**4 + 1210*b**4 + 975 - 482 - 491 - 121*b wrt b?\nAnswer: 23400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 17. Suppose 11 + h = 3*i + 3*q, 0 = -2*i + 4*q + 24. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1526.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1438, 2890, 4344, 5800, 7258?\nAnswer: 8718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 140 = i. Let h = 173\/5 - i. Let b = -10336\/105 - -690\/7. Which is bigger: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/77 and -60\/24562783?\nAnswer: 270190613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-589)*15067\/2379.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.13 + 3.18. Sort p, 6, 1\/6 in ascending order.\nAnswer: p, 1\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -69 + 37\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 21. Suppose 4 + m = f. What is the smallest common multiple of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(9\/7)*y*y*y**(-2)\/y*(y**(-27\/5))**26 assuming y is positive.\nAnswer: y**(-4904\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let l(d) be the third derivative of -d**6\/720 + d**4\/12 - 5*d**2. Let h(x) be the second derivative of l(x). Determine s(h(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + 3. Let d(s) = s**2 + 1. Determine 4*d(g) - p(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5175 <= -5175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 41 = -4*g, 3 = -2*q + 13. Solve 0 + 16 = 4*w, -4*t + 4*w - g = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9010 (base 13) in base 6?\nAnswer: 231334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 6. What is the remainder when 14 is divided by p(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 0.9, 10\/3, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -11 (c) -2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/3710 and -69\/1060.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*k + 149 - 112, 0 = -5*m + 2*k + 100 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o + 4. Suppose 273*a = 265*a - 24. Determine n(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000120102011 (base 3) to base 2.\nAnswer: -10000100011111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316 and 22184?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20895 (base 13) in base 6?\nAnswer: 1131140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11951*l**3*u**3 + 2*l**2*u**3 + 7*l**2 - 2*l*u - 265*l wrt l.\nAnswer: 71706*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2117103)\/(-666) - (-5)\/(-6). Calculate the highest common divisor of o and 681.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1251290233 and 0.5.\nAnswer: -625645116.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19783307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-3850)*-14*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**10*(n*n**(5\/11))\/n*(n**11\/n)**(4\/3) assuming n is positive.\nAnswer: n**(785\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 1 - 1. Is u not equal to -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02835 to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -336164732 divided by -84041183?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48662*-0.1.\nAnswer: -4866.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -15. Suppose u*j - 130 = -5*l + 4*j, 0 = -5*l - j + 155. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/2 + (-1)\/(-2). Let m(n) = -3 - 5*n**3 + 8*n**3 + 5*n + 0*n**3 + n**2 - 2*n**3 + 6*n**2. What is m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*l**2 - 110*l**2 + 47*l**2 as a*l**2 + v*l + i and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 1919 = -37*m. Let z be 2\/(-9) - 1248\/(-27). Let j = m - z. Solve 3*d - j*h - 3 = 12, 0 = 3*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 522\/127 + -21037\/3048. What is the common denominator of 125\/4356 and h?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13657130 is divided by 1497?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0*u + 0*u + (-u + u + u)*(-5 + 4 + 0))*(2*u**3 - 3*u**3 + 15*u**3 - 3*u**3 - 2*u**3 + 4*u**3 + (-3*u - 3*u + 4*u)*(3 + 2*u**2 - 3)).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3)\/((q*q**14*q)\/q))\/((q\/(q*(q**(2\/51)*q*q)\/q*q*q*q*q*q))\/q*q\/q**21) assuming q is positive.\nAnswer: q**(182\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -7. Let n = r - -15. Factor -4\/9*x**3 + n - 2\/3*x**4 + 0*x + 2\/9*x**2.\nAnswer: -2*x**2*(x + 1)*(3*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 33*l + 393. Let w be n(-12). Sort -2, w, 3, -4.\nAnswer: -4, w, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -1) + (-41 - (-55 + -6)) - (-20 - -1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 - 127. Suppose -3*f + g = -g - 3, -9 = -q*f + 2*g. Calculate the remainder when 8 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-98)\/6)\/(-7))\/((-302)\/(-1812)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*w - 9 = -91*w. Suppose -3*k + 3137 = -2*o, 2*o = w*k - 5*k + 2108. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372930 and 150.\nAnswer: 1864650","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Convert 6739.382mm to meters.\nAnswer: 6.739382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1. Let c(n) = n**2 + 2. Let h be (5 - 4)*6\/(-2). Let z = 1 + h. Suppose -67*x + 6 = -61*x. Give x*c(t) + z*y(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.31. Let b = 17.3845 - 17.6. Let h = t - b. Round h to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 113 = -271. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*b + 13*b**3 + 14*b)*((-3 + 4 - 3)*(b + 3 - 3) + 4*b - b - 4*b) to h + y*b**4 + t*b**2 + v*b**3 + p*b and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 8 + 2. Let p be (-2 - a)\/(-2 - -1). Suppose -5*c + 20 = 2*l - 13, p*c - 18 = -l. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91 (base 11) to base 3.\nAnswer: -10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -95436.2+0.5\nAnswer: -95435.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.41905406 and -6.85161.\nAnswer: -4.43255594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -4*g**3\/3 - 3*g**2\/2 - 3*g + 109. Let u = 4 + -7. Let t(x) = 36*x**2 + 28*x + 28. Calculate u*t(j) - 28*o(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13225 (base 10) to base 13.\nAnswer: 6034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**3 + 26*a**2 - 6*a. Let r(v) = v**3 - 9*v**2 + 2*v. Calculate -7*r(u) - 2*x(u).\nAnswer: u**3 + 11*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 129075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 819195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*l + 69*l - 5 + 0)*(-2*l**2 + 3*l**2 - 3*l**2).\nAnswer: -10*l**3 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.11*4\nAnswer: 4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 780*h + 31. Let q(i) = -784*i - 31. Let w(b) = 5*g(b) + 6*q(b). Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 5, 2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 18 = -4*i. Let k(o) = -o**2 - 6*o + 9. Let b be k(-7). Let p = b + i. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 540. Let i = k - -190. What is the least common multiple of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -11. Differentiate 2 + 5*n + 0 - f*n + 6 wrt n.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7*b)\/b*(b\/(((b*b**14)\/b)\/b))\/b*(b\/(b\/(b\/b**0*b))*b)**(2\/5) assuming b is positive.\nAnswer: b**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 15568*a**2.\nAnswer: 15568*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65667537 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: What is 98 minutes after 11:13 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 353505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.98, -2\/7 in decreasing order.\nAnswer: -2\/7, -0.98, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39739\/220 + 2323\/11. Let w = 123\/4 - c. Let 0*i - 3\/5*i**3 - w*i**2 + 0 - 3\/5*i**4 - 1\/5*i**5 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 7. Let k be l(-10). Let f = k + 3. Let d(y) = -2*y + 5*y + f*y + 2*y. Let c(r) = -4*r**2. Determine c(d(m)).\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {x: 2, m: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 - 116*f**2 + 827*f + 72. What is x(16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166576 + 166576 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - -92. What is the second derivative of 290*p**2 - 311*p**2 + q + 0 - 32*p wrt p?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 - 3*r - 7. Let w(l) = 8 + 4*l - 7*l**3 + l**3 + l**3. Let s = -1 - 5. Calculate s*n(g) - 5*w(g).\nAnswer: g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -63*8\/(-216)*579 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.4. Let p be -4 + 3*25\/(-15) + 46. Let o be 2*(-5)\/(p - 7). What is the smallest value in z, 4, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:39 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/3)*z**(-1\/10)\/z*z**(-1\/3)*z**(-1\/12) assuming z is positive.\nAnswer: z**(-71\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = q + 10, 5*l + 11*q = 16*q. Solve -y = l*y + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdhzhyx. What is prob of picking 1 d and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 w, and 1 a when three letters picked without replacement from wweewwwwwwwewwaaeew?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -27*h + 274. Let r be q(10). Suppose -2\/3*f**2 + r + 2\/3*f = 0. Calculate f.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -11\/2 (b) -1 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (16 - 10 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-107)\/(-3) + (-1)\/(-3). Solve -m = -k, 4*k = -0*m - 5*m - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/2, 2\/11, -7, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*o + 81 + 87 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0\/(-6))\/1)\/1. Suppose 3*j - 3*u - 579 = o, 2*j - 5*u = -2*j + 777. List the prime factors of j.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -26. Suppose 6*b - 14 - 10 = u. Sort 2, b, 8 in descending order.\nAnswer: 8, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47170000 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - z + 21. Suppose 0 = z*v - 8*v. Suppose 132 = 3*j - v*j. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9 + (-1)\/3. Let d = 721 - 758. Let r = 32 + d. What is the closest to i in -0.2, -3, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21060497 is divided by 3689?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35923*x + 35927*x + 12 = 0. Let q = -1 + 1.1. Which is the second smallest value? (a) x (b) 0.05 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-236)\/3 + 10\/(-30). Calculate the remainder when (-3)\/((-9)\/134) - t\/237 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:22 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3150 and 0.1848?\nAnswer: -582.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5592 = -8*i + 15872. Suppose -2*j - 415 = -3*j + 2*o, -3*j = 2*o - i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5484.573mm?\nAnswer: 548.4573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 354726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d**2 + 5*d - 4. Let o(m) be the second derivative of -m**5\/20 - 5*m**4\/12 - m**3\/2 + 2*m**2 + m. Let y be o(-3). Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b + 5. Let k(v) = -10*v + 7. Let j(t) = -5*k(t) + 7*n(t). Let r(y) be the third derivative of -y**5\/15 + 86*y**2. Determine j(r(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5911, 23698, 53359, 94894, 148303, 213586, 290743?\n\"Answer: 5937*p**2 - 24*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 31. Suppose -t = t + 32. Let k be h(t). Let d be (-3 - -16 - -2)*k\/1. Solve -d = 5*i, 8 = 3*u - 4*i - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.996 + 0.004. Let m = w + -27.6. Let n = 0.4 + m. Sort 4, n, -0.3, -1\/2 in increasing order.\nAnswer: -1\/2, -0.3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499.1 - 1981.\nAnswer: -2480.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1941*k - 1954*k = -2*h - 7, -k = -4*h - 39 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) + (sqrt(882) - (6*sqrt(882) + sqrt(882))) + (sqrt(180)*-1)\/sqrt(10))\/((((sqrt(495) - -2*sqrt(495)) + sqrt(495))\/sqrt(11))\/(sqrt(45)*-1)).\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2679733 or 2679735?\nAnswer: 2679735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 113*d**4\/2 + 105*d + 241. Differentiate q(v) with respect to v.\nAnswer: 678*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 123*b + 1469. Calculate o(-25).\nAnswer: -1606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 540*w**2 + 42*w + 11. What is the hundreds digit of s(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20995928 a multiple of 1922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*v**3 + 1 - 1 + 27*v + 48*v**2 + 2*v**4 + 45*v.\nAnswer: 2*v*(v - 6)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149671889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 723 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 + 281. Is a < 3.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81354360697 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 39699822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5344665 is divided by 3959.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 29. Suppose g + 22 = -5*x, h*g - 5*x = -2*x + 21. Put -1, g, 0 in decreasing order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 72?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**2 - 3*q - 3. Let n be x(-2). Let i = n - -76\/3. Which is the closest to 0.1? (a) i (b) 4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -h, -5*k = -2*h + 5 - 2. Let z(t) = -t**3 + 13*t**2 + 13*t + 16. Let p be z(14). Let l(g) = -7*g - p*g + 8*g. Give l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 25603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 25. Suppose -5*h + 10 = j, -i - 4*i + 28 = 4*h. Suppose 0 = -3*b + 6*b + o - 8, -2*b - 3*o - i = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 856623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 19*z - 7. Calculate w(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**3 - 9*g**2 - 5*g. Let f = 7 + -5. Let q(n) = -4*n**3 + 4*n**2 + 2*n. Let x(z) = f*a(z) + 5*q(z). What is the third derivative of x(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**3\/3 + j**2 + 23*j + 7. What is the tens digit of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459377 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 11*i + 48. Let o be 4484 + -8 + (8\/(-4) - i). What is o rounded to the nearest one hundred?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:14 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107*q - 1115*q = -584. Suppose 0 = -12*c + 289 - q. Solve 42 = 4*y - c*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + 3.2. Let t = 50.5 + -50.7. What is the biggest value in 0, -3, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 27. Put -2\/11, -3, o in descending order.\nAnswer: o, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (0 - 0 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/14 + -1\/28. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -2. Let w = 12 + m. Let x = w + -4.6. Sort -5, x, 1\/8 in increasing order.\nAnswer: -5, 1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 120 = 116 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*n + 83 + 372 = 0, 2*n + 91 = u. Suppose -386 = 55*k - 18*k - 1829. What is the highest common factor of k and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 50 = -260. Suppose 3*a + 0*a + 3*t = 0, 0 = -3*a - 2*t. Suppose a = y + 25 - l. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 11*w - 12*w. Suppose -2 = 2*a - 4*s + 2, 3*a - 3*s = -3. Suppose 4*v = w - a. Solve 0 = -v*c - 5 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 285 = -11*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*j + 29 = -78, 2*n + 3*j = 71. Let p(l) = -l**2 - 3*l - 2*l + 75 - n - 42. Give p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949.8815 months in years?\nAnswer: 162.490125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 minus 3501896.23?\nAnswer: -3501896.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - 131133?\nAnswer: -131022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1217 - 853. Suppose -11*b + r = -4*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 12) in base 6?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35540 + -1230052?\nAnswer: -1150112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 + 0*b**2 + b**2 - 1 - 2*b as w*b + n*b**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - q. Let b be m(0). Suppose g + 0*g = 4*d - 45, -d - 5*g = -6. Suppose 2*l - 3*l + d = b. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9*-692\nAnswer: 2006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4.1, -0.1, 3.7, 2\/21, -1\/2 in ascending order.\nAnswer: -1\/2, -0.1, 0, 2\/21, 3.7, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l - 248 = -2*u - 56, -4*l = 12*u - 16*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o = -14*o - 205. Solve -3*q + o*q - 4*f - 12 = 0, 3*q - 2*f - 14 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2267, 8365, 18309, 32099, 49735, 71217?\nAnswer: 96545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 11*u**2 - 9*u + 4. Let c be o(-7). Calculate the remainder when 42 is divided by (-3)\/(-6) - c\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2568.027 millilitres?\nAnswer: 2.568027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 47*y**2 - 25*y + 101. What is the thousands digit of x(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -1.48\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*y = 5*y - 1, 8 = 3*i - 2*y. Suppose 0*h + i*h = 34. Let g = 78 - h. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3280*k - 885609. Give x(270).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3\/7 - 215790*y**2\/7 + 3*y\/7 + 215790\/7 = 0. What is y?\nAnswer: -71930, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -431, 74, 5 in descending order.\nAnswer: 74, 5, 0.2, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 3*v - m, 0 = -4*m + 20. Solve -3*l = v + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -439178*j**3 + 136067*j**3 - 270939*j**3 - 525949*j**3 + 1. Let h be w(-1). What is h rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(17) + 1)*6 + (sqrt(17) - (0 + sqrt(17) + 0)))**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(0*f**3 + 2*f**5 + 0*f**3) + 51*f**3 + 68*f**5 - 51*f**3 + (3*f - 2*f - 3*f)*(-4*f**4 + 4*f**4 - 2*f**4).\nAnswer: 68*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 23*o - 28. Give z(23).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -520 - -40?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 1544 = 190*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + 218 + 3*r**2 + r**3 - 431 + 2*r + 215 to the form n*r**4 + i*r**3 + j*r**2 + o + c*r and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915462 is divided by 22886?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 7870.\nAnswer: 59\/7870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*r + 15 = 0, o + 2*o - 4*r = 10. Let z = 12 + o. Suppose 0 = 5*u - 110 - 0. What is the smallest common multiple of z and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2643 or 1?\nAnswer: -2\/2643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186055?\nAnswer: 5, 127, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 10*i**2 - 5*i + 170. Let d be v(8). Let f be 2890\/(-6) + 1\/(-3). Let q be (4 - d - 0) + f + 0. Round q to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78058, 156109, 234150, 312181?\n\"Answer: -5*a**2 + 78066*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13378\/(-14) + 30\/(-70). Let t = r + 6049. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2555 is divided by 424?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*w**4 - w**5 - 7 - 25 - 2*w**5 + w - w + (-1 - 3 + 5)*(-4*w**5 + 5*w**5 + 0*w**5).\nAnswer: -2*w**5 - 2*w**4 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + sqrt(320) + ((sqrt(320) + sqrt(320) + 0 + sqrt(320))*3)**2.\nAnswer: 8*sqrt(5) + 25925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 + 133. Let l be -38 + (-1 - 2) + 4. Let h = t + l. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 567582, 1135165, 1702748, 2270331, 2837914?\n\"Answer: 567583*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2736479.\nAnswer: 59, 46381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(612)*3 + -1 + 2)*3*-6)**2.\nAnswer: 186624*sqrt(17) + 28558656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0.3 (c) -0.03 (d) -1\/6 (e) -910\/53 (f) 15 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 8*w - 338. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t - 12 = 0. Let z = -3 + t. Let u be (-4)\/4 - z - -4. Solve u = -b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135210783.\nAnswer: 3, 19, 2372119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 5*g - 44. Let b be s(6). Let r be (-5)\/(-10)*-5 - -3. What is the nearest to 0.1 in b, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7202700 divided by -18.\nAnswer: 400150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*y + a = 207*y + 2, 5*a - 10 = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 280.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/127 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2 + 275*q + 178. What is the units digit of l(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*s**4 + 6198*s**3 - 156717*s**2 - 297258*s - 134328 = 0. What is s?\nAnswer: -1, -4\/5, 29, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6)*-2*219. What is the common denominator of (-18)\/12 - v\/(-24) and 125\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*p**4 + p**3 + 2369*p - 1589272?\nAnswer: -116*p**3 + 3*p**2 + 2369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f - 2*f**2 + (0 + 1 - 2)*(0*f**2 - 2*f**2 + 0*f**2) + f**2 - 2*f**2 + 2*f**2 + f**2 - 6*f**2 - f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*f + 6*f + 5, -17 = -2*a + 3*f. Let z be 0*2*(-2)\/12*a. Is (z - -1108) + 5\/(-1 - -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 11 = 53 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p. Let l = -102 - -111. Suppose l*y + 84 = -5*y. Which is bigger: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 - 2*l**3\/3 - 5*l**2\/2 - 2*l - 16. Let o be b(4). Is o\/(((-4)\/20)\/(8\/(-20))) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*q - 8, -4*z + 4*q = q - 23. Suppose -35 = -3*w + 2*f, -6*f = -z*f - 20. Calculate the remainder when 27 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, h: 3, n: 12}. What is prob of sequence onoo?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -644 = 3*d + 5*i - 7147, -3*i - 10827 = -5*d. Is 114 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6457 + 12653. What is b rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 + -208. What is the second smallest value in o, -2, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 4*w - 1. Let k be j(2). Is -1\/34 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 1984?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = 2*l, l + 0 = -2*v + 12. Suppose -l*p - 58 + 70 = 0. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452036 divided by -113009\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 33942478 times 5\nAnswer: 169712390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 5*n + 3*n)*(5*n - n - 3*n) - 36*n**2 + 30*n**2 + 39*n**2 + 172*n**2 - 279*n**2 + 139*n**2 in the form i*n + y + r*n**2 and give r.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-2\/11))*v)\/(v\/v**(5\/4)))**(-48)\/((v**(-2)\/(v*v**(-1\/4)))\/(((v\/(v\/(v\/v**2))*v)\/v)\/(v*v**(1\/3)\/v*v*v))) assuming v is positive.\nAnswer: v**(-9149\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2\/23, 1.5, 2, -2 in decreasing order.\nAnswer: 2, 1.5, 2\/9, 2\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 35 = 3*g + 14, -g - 9 = -z. Suppose -8*m = -z*m + 9. Suppose -m*v - v = -92. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c**2 + 13*c + 8. Let n = -445 + 451. Let u(r) = -4*r**2 - 3*r - 2. Give n*y(z) + 26*u(z).\nAnswer: -2*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10305, 41212, 92719, 164826, 257533, 370840?\nAnswer: 504747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186*v**4 - 1122845*v**3 + 1317732397*v?\nAnswer: 2232*v**2 - 6737070*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -24681495516?\nAnswer: -24681495515.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeer when four letters picked without replacement from eextrxeett.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1\/10 (b) 0.074 (c) 3\/2 (d) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 + -5.14. Let r = 5.329 + u. Let y = -0.529 + r. Which is the second smallest value? (a) -1 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204460584 or 204460592?\nAnswer: 204460584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*8\/(-364)*(1029\/(-18))\/((-350)\/150)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(156) - (sqrt(156) + sqrt(156) + (sqrt(156) - -2*sqrt(156)))) + sqrt(156)) + sqrt(156))\/sqrt(12)*-5*-2)**2 + 4.\nAnswer: 219704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -33. Let f(c) = 2*c + 6. Let d(g) = g + 5. Calculate t*d(m) + 5*f(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i**2 - 3. Let u(g) = -8*g**2 - 3. Let w(r) = 7*u(r) - 6*y(r). Let b(s) = 11*s**2 + 17. Let m = 10 - 44. Let p = -28 + 22. Give m*w(c) + p*b(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*(l\/l**0)\/l))*l**4*l*l\/(l\/(l\/l**(-1)*l))*(l*l**(-8)*l*l)\/l)**(-5\/18) assuming l is positive.\nAnswer: l**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 89, 207, 373, 587, 849, 1159?\n\"Answer: 24*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1116260103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -16843*s**2 - 115*s - 412. Let i(j) = -25265*j**2 - 184*j - 617. Let k(o) = 8*c(o) - 5*i(o). Differentiate k(l) wrt l.\nAnswer: -16838*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650958094.\nAnswer: 2, 17, 461, 105331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 - 179. Suppose 168 + 480 = s*r. What is the remainder when r is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*u - 6 - 6)*(u**3 - 3*u**3 + 3*u**3).\nAnswer: -2*u**4 - 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52, 2\/13, -1, -3, -0.18, -33.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*p**2 - 51*p**2 + 104*p**2 - 3 + 5 in the form a*p**2 + y + j*p and give a.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-288)\/352 - 4\/22. Put -5, 3, g, -2 in ascending order.\nAnswer: -5, -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (-208 + 83) - 32?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/40 + (-5)\/(-25). Let c(s) be the third derivative of -s**4\/8 + 29*s**3\/6 + 5*s**2. Let v be c(10). What is the closest to v in g, -0.13, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -753 - -2959. What are the prime factors of b?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(0 - -2) - 1. Let a be 7 + 0 + z - 1. Suppose 11 = -4*l + 5*q, -8 = 2*l - 5*q + a. Solve u = -3 - l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-2223)*-19)\/(9\/(-104))\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 115*d. Let y(s) = -10478*s**2 + 2. Give q(y(w)).\nAnswer: -1204970*w**2 + 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/16 + ((-36)\/(-96)*-71 - -6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(540))\/(sqrt(40)\/sqrt(2)))**2 + -5.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o + 63*o - 24*o + 4217 - 275 = 0 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + (2\/2 - 0). Find the third derivative of -2*u**2 - 2*u**6 + 3*u**6 - c*u + 14*u wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 132?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21525 (base 7) to base 16\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9292066?\nAnswer: 2, 7, 53, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**3 + n**2 + 11. Let s(u) = 5*u**3 - u**2 - 10. Let r = -15053 - -15058. Calculate r*s(t) + 4*d(t).\nAnswer: t**3 - t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 376?\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19847590067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 0*t - 13*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 28. Suppose o*s - 19 = 9. Suppose -2*g = -w - 25, 0 = s*g - 0*g + 3*w - 75. What is the highest common divisor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-15)\/(-6)) + 10. Suppose -2*b = -5*w - 1, -1320*b + 1318*b = w - 19. Solve 5*z + a = w*k + 2, -2*z = 3*k - 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 20 - 3*k + 33*k**3.\nAnswer: 33*k**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218 - 170. Suppose 6*p + 165 = 183. Calculate the greatest common factor of t and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4014553771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 6\/(96\/(-28)). Which is the closest to u? (a) 0 (b) 5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16924*g**2*i*j**2 - g**2*j**2 - 14*g**2 - 3*g*i - 79*g*j + 93*i*j**2 - 4*i*j + 28 wrt j?\nAnswer: 33848*g**2*i - 2*g**2 + 186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:10 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/3763 >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**3 + 3*s**2 + 3*s - 3. Let g(f) = f**2 + f - 1. Calculate -3*g(y) + h(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**7\/840 - h**6\/36 - h**5\/10 + 5*h**4\/8 + 4*h**3\/3 - 3. Let b(a) be the third derivative of k(a). Is 4 a factor of b(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away -92409405390?\nAnswer: 92409405390.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d - 18. Let q(h) be the third derivative of h**5\/60 - h**4\/3 + 4*h**3\/3 - 2*h**2. What is q(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.28 (c) 2\/323 (d) -1.1 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(n**4 + n**5 - n**4) + 0*n**5 - 12*n**5 - 2*n**5 + (-n + 2 - 2)*(0*n**4 - n**4 + 2*n**4).\nAnswer: -17*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(0 - 2). Let j = 44 + -41. Put v, -0.5, j in descending order.\nAnswer: j, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - (-531)\/315. Are h and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55300 rounded to the nearest 1000?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*h - 12899 = -3969 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 46 = -3*n, 2*n = -2*m + 6*n + 42. Suppose 13*z - 8*z + d - 155 = 0, 5*z - 155 = 2*d. What is the highest common divisor of m and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0\/((-9)\/(-6)*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11621312.\nAnswer: 2, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83697664 and 52224?\nAnswer: 251092992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 24. Let j be c(28). Suppose j = 6*x + 10. Calculate the remainder when 36 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5617?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2159262 and -49\/2776194.\nAnswer: 19433358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567.\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*d**6 - 107978*d**3 - 87*d**6 + 107337*d**3 - 7153*d**2 wrt d.\nAnswer: -600*d**3 - 3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -4.4.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.58013ml in litres?\nAnswer: 0.02958013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615.343 millilitres to litres.\nAnswer: 0.615343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*w**4*y - 14*w**4 - 5*w**3*y + 5*w**2 + 2*w*y + 401*y wrt w.\nAnswer: -864*w*y - 336*w - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (19*50\/3325)\/((-1)\/140*-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 2*l + 36901 + 47521 = 0. List the prime factors of l.\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + -45. Suppose 4*y = -y + m. Let d = y - 8. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 297, 650, 1155, 1818, 2645, 3642, 4815?\nAnswer: 6170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2\/54*3). Let r be (-2)\/y - (1 + (-136)\/36). Find the third derivative of 17*i**r - 164*i**2 + 2*i**3 + 185*i**2 + 2*i**3 wrt i.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 938.23 - 1.23. Let h = t - 936.6582. Round h to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5\/4 - 7*q**4\/4 - 21*q**3\/4 + 27*q**2\/4 = 0.\nAnswer: -3, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 2*z - 8. Let s = -19 - -13. Does 8 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 - 2*f**2 + 0*f**3 - 3 - f**3 + 2 in the form b*f**2 + k*f + s + g*f**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.383562 years?\nAnswer: 0.09383562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 237*w - 93104. Determine l(393).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 224411 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1324771, -5299086, -11922955, -21196384, -33119379, -47691946, -64914091?\nAnswer: -84785820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(80) + 3 - 1*sqrt(80)*-6.\nAnswer: 2 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o. Let z(b) = -3*b**2 + 2. Let p be z(0). Let m(d) = p*d - 79*d**2 - 2*d + 82*d**2. Calculate s(m(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxjexrwewxsrxer. Give prob of picking 1 s, 1 r, and 2 x.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 17 - 2)*(1 + 10*r - 1 + (5*r - 2*r - r)*(0 - 2 - 1) + 2*r + 22 - 37 + 13) as n*r + l and give n.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v - v)*(1 - 3 + 1)*(3 - 7 + 3) + (-3 + 2 + 0)*(0 + 0 + 2*v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -38, 42, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 + 110*y - 211. Determine u(19).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 + 2*x**4 - x**2 + 15*x**3 - 5 - 25*x**3 in the form h + k*x**2 + w*x**3 + u*x + z*x**4 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + -7.2. Let d = 5 + w. Let r = -0.03 - -0.43. Which is the nearest to 0? (a) r (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)\/(sqrt(44)\/sqrt(4)*4))\/((sqrt(28)*2*-2)\/sqrt(7)))**2.\nAnswer: 11\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2514406 = -3*g, -16 + 8 = -4*g. Round j to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -134, -138, -142, -146?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -325, 29, -107.\nAnswer: -325, -107, -3, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -110, 122, 446, 862?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 24.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3404*a**2*c + 7*a**2 - 5223*a*c**4 + 14*a + 208316 wrt c?\nAnswer: 3404*a**2 - 20892*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6896.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*l + 626*l - 163*l - 122*l + 1088*l.\nAnswer: 2182*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqevvbqqib. Give prob of sequence vq.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 2:21 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, z: 1}. What is prob of sequence zy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1196327295053787+0.2\nAnswer: 1196327295053787.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 h when four letters picked without replacement from hennnhnen?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/60 - v**4\/24 - v**3\/2 - 4*v**2. Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 11581 - 533. Is z bigger than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(50)\/sqrt(160))**2 - sqrt(25)\/(sqrt(20)\/sqrt(4)) - 6*(1 + sqrt(5) + 0) - (-5 + (sqrt(1440)\/sqrt(8) - sqrt(5)) + -6*-2*sqrt(5)).\nAnswer: -23*sqrt(5) - 21\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18238 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**3 - 5*a**2. Let u(q) = q**3. Give m(f) - 4*u(f).\nAnswer: 2*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 4, p: 3, e: 4, c: 1, i: 5}. Give prob of sequence ip.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 + 0)*(3 + 5*k**3 - 4 - 3*k**3 + 2*k**4).\nAnswer: 24*k**4 + 24*k**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3814 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/(-4))\/3*-2. Suppose -v - 9 = -4*x. Solve -x*u = -8 - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by -1\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 48*q - 10. Give l(2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 303964?\nAnswer: 25\/151982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-365)\/(-10220)*(-2)\/4*4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r. Let k(l) = 1995*l - 3. Give y(k(z)).\nAnswer: -3990*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 577\/6*q + 32 + 1\/2*q**2 = 0.\nAnswer: -192, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/9 - s**3 - 4597*s**2\/9 + 4615*s\/3.\nAnswer: s*(s - 71)*(s - 3)*(s + 65)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:09 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 59, -3\/4, -0.2 in decreasing order.\nAnswer: 59, 2, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 782130 + -481423. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -32528?\nAnswer: -6505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 7*f - 2*f, 0 = 2*f - 3*b. Suppose f = 8*i - 4*i - 312. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272a3 (base 11) to base 15\nAnswer: -b81e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51932 - -47?\nAnswer: 51979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - -138. Let i(v) = v**2 - 25. Let h be i(q). Solve -1 = -3*f + h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 51 (b) -4\/7 (c) 0 (d) 1\/3 (e) -280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -22*p**2. Let l = -75 + 84. Let u(j) = -9 + j + l. Give x(u(h)).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**3\/3 + t**2\/2 + 2*t + 12. What is d(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 - 0.1. Let m = -3.3 - -3.3. Let y = -1 + 2. Which is the nearest to y? (a) h (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**2 - 5*x**2 + 4*x**2 - 4*x**2. Let g = -38 + 55. Let n(q) = -5*q + g - 31 + 14. Calculate n(v(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 2*u - 3*u)*(-1 + 15*u**2 + 4241*u - 2119*u - 2121*u) to g*u**3 + q + n*u + j*u**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113257.9 rounded to the nearest one thousand?\nAnswer: 1113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 80*v - 39*v - 41*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:10 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-15)*2\/(12\/(-14130)) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/501 or 1?\nAnswer: 2\/501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*s**3 - 18*s**2 + 18*s**2 + (3 + 0 + 3)*(-s**3 - 2*s**3 - s**3) - 3 + 0*s - s**3 + 2*s + 4.\nAnswer: 39*s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 150*p - 435*p + 185*p - 792*p.\nAnswer: -892*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19f (base 16) to base 6.\nAnswer: -1531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - -258. Let k = q - 109. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 3 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1516 = 4*x, x - 404 = u + 3*u. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 13925*l + 21 - 6 - 13962*l + 29.\nAnswer: -37*l + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 + (-39)\/65 - -6. Suppose -z*j + 11 = 1. Suppose i + 3*r = j*i - 82, -2*i + r + 169 = 0. What are the prime factors of i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/42)\/(1\/9))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + -2*sqrt(68) + (2*sqrt(68) - sqrt(68))*5 + 1)**2.\nAnswer: 72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 39*v + 137. Determine u(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28567 less than -73796290?\nAnswer: -73824857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -16. Suppose -22*j = -3578 - 8588. Suppose 1038*o - j = 1031*o. What is the remainder when o is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*k + 1577 = 775*k + 13763 + 39152 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 - 15 - (141 + 0). Let n = -76 - r. Let m = 119 - n. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:18 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 + 0.58. Let t = 8 + -13. Let z = -488 - -485. Which is the closest to d? (a) 0.5 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 94?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 23. Let g be 64\/12 + 4\/6. Let k(w) = w**2 - 7*w - 2. Let h be k(g). Put -5, h, c in ascending order.\nAnswer: h, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/60)\/((105\/(-12))\/(-5)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 - 2317*b - 190551. Determine w(-480).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3351.14 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 26*v - 83*v + 30 - 77*v - 8*v + 20*v. List the prime factors of y(-2).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxrx when four letters picked without replacement from {r: 2, c: 2, x: 10}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14083 by -39.\nAnswer: -14083\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 76377962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74720621 and 21989?\nAnswer: 821926831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2\/5, 2\/13, 0.13, 4\/9, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 11*h - 23. Give l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 82?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/30*-18*((-1265)\/(-782))\/(-11).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 110\/(-3) - 7\/21. Let t = 69 + b. Let q = -21 + t. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 4*q**2 - 5*q - 2. Suppose 5*b - 4*x + 7 = -9, -10 = 2*b + 2*x. Is a(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1963 - -1963. Solve 20 = 10*q - d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124340*3\nAnswer: 373020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6803838600 and 1700.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178724910 and 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/5 - (2 + 0). Suppose -6 - 9 = u*r. Let a(g) = 4*g - 12 + 10 - 4 - 12*g - g**2. Give a(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -320*f + 3397. Is i(-114) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 6*z - 1 - 4 + 4*z. Suppose -10*i = -13*i + 162. Suppose -i = -2*v + 11*v. Give m(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -776, -1919, -3760, -6647, -10928, -16951, -25064?\n\"Answer: -58*d**3 - d**2 - 734*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a**2 + 0*a**2 - 9*a**2. Let n(d) = 36*d**2. Determine v(n(h)).\nAnswer: 3888*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22243 - -6?\nAnswer: -22234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55926, 4, -5, -6 in descending order.\nAnswer: 4, -5, -6, -55926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 47. Let t = -9 + l. Solve 5*a - 31 = 4*b, -5*a - t*b + 7 = -0*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -319.\nAnswer: -35.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-15)\/9)*2\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 2)*(79*u**3 - 23*u**3 + 57*u**3)*(2 + 6 - 2) as a + g*u**3 + r*u**2 + c*u and give g.\nAnswer: 2034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by -1002304.\nAnswer: 41\/501152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119610 and 167670?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.045 + 0.535. Let g = s + -0.621. Let l = 0.0449 + g. What is l rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-11)*(-2)\/(-6)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -25 - (22 + -51 + (18 - -2))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4078, -4072, -4062, -4048?\nAnswer: -4030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20\/9 - 112\/45. Suppose -5*n + 2*k + 35 = 0, -3*n - n = -3*k - 35. Suppose 2*b - 3*b - n*s = -24, -3*b = -s + 8. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.18 (c) 9 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*g = -2*k - 31, 5*g = 3*k - 41 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = i - 5*i, 3*q + 4*i = 56. Let r be (2 - 1)\/((-4)\/q). What is the remainder when (2\/(-4))\/(r\/344) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 183*u**2 + 143*u - 4. What is b(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104660386 divided by -104660386.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146686\/9 - -38139863\/2340. Let k = -7\/65 - j. Let n = 0.01 + 1.99. Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 + 9*f - 11*f - 27*f**2.\nAnswer: -20*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+2082.9\nAnswer: 2082.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5205*j - 6490. What is the ten thousands digit of d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Suppose 0 = -3*s + 3*o + 21299994, z*o = 5*o - 2. Round s to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wubywyubyywbubub. What is prob of picking 1 y and 1 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.056445 * -7\nAnswer: -0.395115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s - 52. Let z be r(-8). Is 3 a factor of (z\/(-6))\/(-5 - -3)*-27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**4 - 4*x**4 + 0*x**4 + (0*x**2 + 3*x**2 - 4*x**2)*(2 - 2 - 2*x**2) - 4 - 2*x**2 + 2*x**4 + 3 - 2 + 28*x**2 - 26*x**4 - 28*x**2.\nAnswer: -21*x**4 - 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from aaaaaaaaaaaaqaaaaa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 + 46*i**4 + 114*i**3 - 358*i**2 + 200*i = 0.\nAnswer: -4, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 669111781 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 33*f - 8*f + 66*f - 144*f. Let s(t) = 42*t**2. Determine s(x(m)).\nAnswer: 117978*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 9*h + 9. Let v(w) = 2*w + 3. Let c be v(0). Let u be y(c). Solve -4*n + n = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012592570234 rounded to five dps?\nAnswer: 0.01259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 not equal to 3\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -29441844.8 to the nearest ten thousand.\nAnswer: -29440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160365 is divided by 322.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:52 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*f - 3780, 4*a + 4*f = 3*a + 924. What is a rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 739 and 0.5?\nAnswer: 369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2245\/156 - 532\/39. What is the smallest value in n, -7, -5, 0.06?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1058 less than -1055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4893597 rounded to three decimal places?\nAnswer: -3.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9258419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 11*l - 6. Calculate u(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -f93119 (base 16) in base 9?\nAnswer: -33650862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -451367800 to the nearest one million.\nAnswer: -451000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 501 - 490. Let a(j) = 29*j - 312. Let h be a(l). Solve -9 = -h*i + 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 + f. Let g(o) = -5*o**3 - 5*o**2 - 3*o + 1. Let h(v) = -g(v) - 4*x(v). Let h(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxxzx. What is prob of sequence xxxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*x - 549*x = -184*x - 4892 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -62. Let c be (z\/(-6)*(-25)\/(-20))\/2. Is c > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115222344 (base 6) to base 9.\nAnswer: 4140601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 + 0*b**3 - 2*b**3 + (-2*b**2 + 0*b + 0*b)*(-b - b + 3*b) - 3*b**3 + 4*b**3 - 6*b**3)*(-4*b + 3*b - b).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 12 = 65*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61, -64, -65, -58, -37, 4, 71, 170?\n\"Answer: c**3 - 5*c**2 + 5*c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(-1 + sqrt(2) + 5 + 2) - ((sqrt(20)\/(3*sqrt(10)))**2 + (sqrt(242) + (-2*sqrt(242) - sqrt(242)) - sqrt(242))**2)) + -5.\nAnswer: -38683\/3 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -20430310?\nAnswer: -20430311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-178 + -56)\/(-1 + (-1)\/(-4)). Calculate the greatest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441704 to the power of 1\/2, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 + (-14 - 60\/(-12)) and 33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - 0) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 - 61?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3047*d + 115487 - 4207 + 248266 for d.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -216?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 449*l**2 + 1731*l**2 + 30*l**2 as r*l + w*l**2 + u and give w.\nAnswer: 2210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:26 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 13*w**7\/21 + 43*w**3\/3 + 138*w. Find the second derivative of c(i) wrt i.\nAnswer: 520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*l + 4 + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 140840?\nAnswer: -140855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1587 = 6*w - 9729. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117989 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12267, 36, 6, 2, 5, 0 in increasing order.\nAnswer: -12267, 0, 2, 5, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -4. Calculate the remainder when -30*(1\/(-2) - 0) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.045 + 1.045. What is the nearest to -0.1 in w, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5800 and 34600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105945 by 105.\nAnswer: -1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7429 is divided by 266.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-1.71.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -2\/9 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4595.5182 to the nearest 10.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -x + 4*n, -5*x + 3*n - 2 = 16. Let r(l) = 7*l**2 + 6*l - 6. Let a(f) = f**2 + f - 1. Give x*a(g) + r(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 35 - 26, -m = -36*i - 108 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983316 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417693099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3564 and 3663?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 65*c + 1124. Let k be b(-17). Solve -19*f + k = 38 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/100 and -109\/28.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -67*u**2 - 69*u - 8. Let w(l) = 25*l**2 + 23*l + 3. What is 3*j(n) + 8*w(n)?\nAnswer: -n**2 - 23*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 146, -1, 0 in descending order.\nAnswer: 146, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d**4 - 2*d**2 - 1\/300*d**6 + 0*d**3 - 1\/150*d**5 + 0*d + 0. What is n in w(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33703442 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -117922 divided by -8423\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - -1?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*p + 711*p + 609*p + 47283 = 3036 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3235*m - 78*m**2 + 1621*m + 16*m**2 + 1614*m.\nAnswer: -62*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**5 + 83*n**4 + 5436*n**2 + 21*n - 33876 wrt n.\nAnswer: -60*n**3 + 996*n**2 + 10872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3711792?\nAnswer: 2, 3, 7, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 586 = -734. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 3*h**2 - 12)*(2 + 2*h - 2 + (0 + 3 - 1)*(2 - 2 + 3*h)) in the form q*h + j + d*h**3 + g*h**2 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1377 + -1380. Which is the second smallest value? (a) -0.6 (b) -2\/11 (c) -0.5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 1. Suppose 3127 = 40575*q - 40628*q. Which is the nearest to g? (a) 5\/4 (b) 0.5 (c) -0.1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 231.48?\nAnswer: -3240.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c - 2. Solve -j - 7 = -3*a - 1, -2*a - c*j + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 941\/83 and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (13\/65 - (-78)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1878027, -3756036, -5634021, -7511970, -9389871?\n\"Answer: 2*k**3 - 1878023*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**3 + 8*o**3 + 3*o**2 - 2*o**3 - 5*o**2. Suppose -19 = 7*y + 527. Let k = y + 80. What is d(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)\/(-12 + (-9 - -20)). Which is smaller: 1\/117 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2\/7 - 11968*j\/7 - 8952064\/7 = 0.\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.986 - 13. Let r = m + -11.686. Let w = 12 + r. Which is the nearest to -1? (a) w (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/3, 0, -206\/59, -5 in decreasing order.\nAnswer: 0, -1\/3, -0.5, -206\/59, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30 + 24)*212\/(-24)*1. Solve 55*s = u*s + 5*x - 3, -2*s - 2 = -4*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -25.2. Let z = -2 + h. Let m = 0.6 - z. Which is greater: 0.3 or m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1604 and 69774?\nAnswer: 139548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/23 + 12502*l\/23 + 15135956\/23.\nAnswer: 2*(l + 1642)*(l + 4609)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -115, -285, -523?\n\"Answer: -34*x**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = j - 1238. What are the prime factors of j?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 9*u - 34. Let g be q(17). Let d = g + -58. Is 1500\/22 - 8\/d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74, -356, -1118, -2600, -5042, -8684?\n\"Answer: -40*f**3 - 2*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81237654 by 6.\nAnswer: -13539609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -bb72?\nAnswer: -bb4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -25*i - 114. Let n(c) = 28*c + 112. Let l(y) = -4*j(y) - 6*n(y). Differentiate l(d) with respect to d.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 + (2 - 2) - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11165 + 7550. What are the prime factors of j*(-2)\/12 + (-6)\/(-4)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.44 rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035426 rounded to six dps?\nAnswer: -0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t**5 + 69*t**4 - 24*t**3 - 264*t**2 - 240*t - 48 = 0. Calculate t.\nAnswer: -2, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 35 - 9)*((0 + 2 - 3)*(0*f - 2*f - f) + (2*f - 5*f + 5*f)*(2 - 1 - 2) + 2 - 2 - f + 2*f - 2*f + f) + 0*f - f - f.\nAnswer: -95*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 779314 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2534 = -207*v - 155*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-45 - (-1 - 0)). Let u(o) = -4*o**3 - 10*o**2 + 4*o - 1. Let j be u(-3). What is the highest common factor of j and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**2 + 11*m - 38. Calculate the remainder when v(4) is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = -m - 3*w, -2 = -2*m + 4*w. Let n be -2 + m\/((-3)\/42). Let p = n - 5. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 324 - 325.83. Let r = g - 2.17. What is the closest to -5 in r, -2\/5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657080573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a - 1 + 2*a**2 + 9*a**3 + 10*a**2 - 13*a**2)*(-a - 2 + 2) to s*a**3 + w + l*a + y*a**4 + t*a**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8612.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u + 6. Give o(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*f + 3, 0 = -4*t - 4*f + 7 - 3. Suppose 2*o - 24 - 10 = t. Suppose 0 = 5*g - 13 - o. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5594 + -5591. Solve -2\/13*j**4 + 12\/13*j**2 - 64\/13 - 10\/13*j**u + 64\/13*j = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 6*k - 198. Let s = k + -56. Suppose -3*t - 3*u + 2*u = -8, 4*t = 4*u + 16. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5540 is divided by 146?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15888551*i**5 - 2*i**4 - 1456*i**2 - 2*i + 1752.\nAnswer: -953313060*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 3. Let b = 6 - m. Let c = -1133 - -1132.8. Sort 0.3, c, b, -0.5 in descending order.\nAnswer: 0.3, c, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g + 4. Suppose g*i + b = 5 + 4, 3*i - 5*b = 24. Find the third derivative of -3 - r**2 + i + 2*r**3 wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -6. Let y = -5 - -1. Sort n, y, 5 in ascending order.\nAnswer: n, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 84\/56*4040\/6. Suppose 20*b = 1510 + m. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-14\/3))**(-32)\/(((f*f\/(f*f**(-2\/7)))\/f)\/(f*((f*(f*f**(12\/5))\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(9182\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djje when four letters picked without replacement from ejjjjdeesjjdesdede.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-21 - -10) - (-130)\/1001*-11.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o*o**(-4)))))**(-18)\/((o**5\/o)\/o**(7\/3)))**24)**25 assuming o is positive.\nAnswer: o**(-44200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 749*n**3 - 2*n**2 + 31*n - 30. Let z be v(1). What is the greatest common divisor of 44 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 7)*(26\/8 - 3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 7.1.\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452337037.\nAnswer: 17, 709, 37529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 2, s: 1, j: 5, l: 1, c: 6}. Give prob of sequence svj.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/((-3)\/(-9)))\/(-1). Suppose -4 - 2 = w*k, -4*v - 4*k = 0. What is the smallest common multiple of -2 - ((-2 - -2) + -12) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263716067.1000187 - -263715655.1. Let d = x - -412. Round d to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 9*x + 5. Let g be f(-6). Let n be (-2)\/(-3) - g\/3. Let m(j) = j**3 - 4*j**2 + 3*j + 4. Let w be m(4). Solve -w = n*o + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((4*sqrt(252)*-1 - sqrt(252)) + 0) + ((sqrt(252) - (4 + 1 + sqrt(252))) + 3)*-4)*-5)**2.\nAnswer: 60000*sqrt(7) + 3939100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-4*1)\/((sqrt(11) + sqrt(110)\/sqrt(10))*-6 - sqrt(11)).\nAnswer: 4*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + f = 3, -4*i + 3*f = 21 - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4, 2\/5, 30.3, -0.3, 93\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 223*z - 97*z**4 - 3*z**3 + 95*z**4 + 2 - 33*z**2 - 226*z to u*z**3 + n*z**4 + s + x*z**2 + a*z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112*v - 610?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04966912474 to 3 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1\/3*32\/16. Let f = 7 + -7.3. Which is the nearest to 0.1? (a) f (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 5756.\nAnswer: 34536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m - 4. Let u(r) = -6*r - 5. Let d = 188 + -193. Calculate d*h(p) + 6*u(p).\nAnswer: -p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 91071 times 1171\nAnswer: 106644141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944.302 minutes in nanoseconds?\nAnswer: 116658120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2562806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128323?\nAnswer: 7, 23027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65.165 - 65. Let k = y + -233.165. Let q = k - -233.0123. What is q rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-18) + -7)\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1009 in 1, 0.1, -5, 0.5, 2049?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 29 = 3*k + 7, 16 = -4*u. Solve 4*j + 2*h - k*h - 20 = 0, 3*j = -5*h - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, u: 7, z: 1, f: 1, e: 1}. Give prob of sequence be.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 57 = -3*a, -3*a - 93 = -6*n + 3*n. Suppose 4*b - 2*b = -3*s + 46, -2*s = 4*b - n. Suppose -16*i + s*i + 370 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 570 or 571?\nAnswer: 570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m - 32*m + 2 - 11*m - 2.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*b + 2*b. Determine q so that 24*q + 4*q**2 + 0 - 48 - 4*q**2 - b*q**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 5*n**2 - n - 7. Let g be x(5). Let y(q) = q**3 + 12*q**2 - 7*q - 18. List the prime factors of y(g).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Suppose -3*f + 21 = 4*o + 2*f, 0 = -2*o + 4*f + 4. Put v, o, 0 in ascending order.\nAnswer: v, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59766888 by 6.\nAnswer: 9961148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 1, z: 5, s: 2}. Give prob of picking 2 s and 1 z.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 10*n - 785. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v - 4, -2*f = 3*v - 13. Suppose 4*r + 28 = 4*y, 7*r - 5*r = -4*y - f. Solve -4*u = -y*x + 2 + 4, -5*u - 5*x = -30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995139?\nAnswer: 3, 36857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010143876 rounded to 7 dps?\nAnswer: -0.0001014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -44, -150, -370, -746, -1320, -2134?\n\"Answer: -7*v**3 + 6*v**2 - 3*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -219 + 233. Let j = 7 + -4. Let h be 28\/j*54\/18. What is the highest common divisor of q and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 2*z + 8*z)*(5*z - 4*z**3 - 5*z).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpm when three letters picked without replacement from {m: 1, g: 1, y: 1, e: 2, r: 1, p: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 156 = -50. Calculate the smallest common multiple of 6 and z.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 + 59. Let h = v - -79.05364. Let y = 0.052 - h. Round y to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87510947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.27 * 2\nAnswer: -2.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-316*t + 633*t - 315*t + 217*t**3)*(-2*t - t + t)*(-5 + 2 + 1) to the form n*t**4 + j*t**3 + d*t**2 + s + v*t and give n.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 24 + 1, -3*d = 4*v + 17. Let g(s) = -3 + 14*s - d - 13*s. What is g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179313, 178352, 177391, 176430?\nAnswer: 175469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.6 and -35845?\nAnswer: 35839.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/12)\/3 + (-23)\/4. List the prime factors of 2 + (292 - 1 - c).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470607437370+-120\nAnswer: -470607437490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -9*y**2 - 5\/32*y**4 - 3\/40*y**5 + 0*y - 3\/160*y**6 - 3\/16*y**3 - 1\/560*y**7 + 0. Find j such that t(j) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1079, -5064, -15895, -36998, -71799, -123724, -196199, -292650?\n\"Answer: -571*q**3 + 3*q**2 + 3*q - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-63) + (-128)\/56.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 0*v = 2*v + 2*s + 16, 553 = -107*v + 111*v - 61*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y + 2*s = 42*y - 32, -8*y + 4*s + 144 = 0. Suppose y*t**2 + 0 + 4\/5*t**3 + 36\/5*t = 0. Calculate t.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, i: 10}. What is prob of sequence hihi?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 14*q - 16. Let h be t(14). Let n be (-3*1)\/(96\/(-640)). Calculate the highest common divisor of h and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/3 - 11*s**2\/2 + 8*s + 1. Let k = 31 + -40. Let p be b(k). What is the highest common factor of p and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 4*r**2 - 94.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 1\/6*t**3 + 0 + 3\/2*t**2 + 3*t. Let x(r) = 3*r + 1. Let u be x(1). Calculate i(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 6*u**2 - 5*u + 6. Let m(d) = -d**2 - 5*d - 6. Let j be m(-4). Let b = 11 - j. Suppose -4*k = b + 7. Determine a(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*j = -24 + 9, -t + 5*j + 10 = 0. Suppose 4*y - 2*f = 796, 0*y = 5*y - t*f - 985. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -4628.7765?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -18. Let g = -1 - 0. Let v = g - u. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 369*q**3 + 2*q**2 + 8*q + 3. Is f(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w - 6. Let o be c(7). Let x = 471 - 508. Let i = x + o. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 3, m: 5, e: 3}. What is prob of sequence mbmq?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/990 and 79\/7146?\nAnswer: 393030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(931) - (2 + sqrt(931) + 1) - (sqrt(931)*-1*4)**2) + -4.\nAnswer: -14908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 - (21 + -22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72929, -68291, -63653, -59015, -54377?\nAnswer: -49739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288422, 576819, 865196, 1153553, 1441890, 1730207, 2018504?\nAnswer: 2306781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.9 in 7, -0.67, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 304\/24*540\/40. Calculate the highest common divisor of 570 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 15 = a. Solve -g - 3*g - 6 = a*j, -5*g - 22 = -j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 + 34 = 4*l, 3*n + 28 = -l. Let z(f) be the third derivative of -f**5\/60 - 3*f**4\/8 - f**3 - 10*f**2 + 12. Give z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*o + 22 = 0, 32 = -2*v + 4*v + 4*o. Suppose 8*a + 314 = v*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 416*o**2 + 11220*o - 20808.\nAnswer: 4*(o - 51)**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -871*s**6\/6 + 785*s**4\/6 + 10302*s. Find the third derivative of u(b) wrt b.\nAnswer: -104520*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 60\/25 + 0. Which is the closest to -0.1? (a) m (b) -12 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, 2\/11, 2\/7, 0.8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358 (base 11) to base 14.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12*o + 0 - 2.\nAnswer: -12*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -87*g**4 - 4*g**2 - 1. Let k(o) = 88*o**4 + 5*o**2 + 1. Let i(h) = -4*k(h) - 5*x(h). Differentiate i(z) with respect to z.\nAnswer: 332*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -36, -2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.3, 2, -2, -3\/8?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 42. Let s(v) = v + 38. Let m(d) = 5*s(d) - 4*y(d). Let u be m(2). Solve 3*l - 31 = -u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*c + 89*c + 310 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-18)\/(-126)))\/((-35)\/(-21) + -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 14*g + 42. Determine x(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5952\/30)\/4 + (-4)\/(-10). What is the greatest common divisor of 100 and u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9 + -0.1. Let l = 3.6 + p. Let b = 35 + -34. Put 0.5, l, b in descending order.\nAnswer: b, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 16.24339m?\nAnswer: 16243.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/21 - 2\/(-7). Let p be (3 + -2)\/1*3. Suppose 3*b = -3*d - p, 2*b = -4*d - 0*b. Is d at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1378 + 0.0788. Let v = 0.1 + 0.3. What is the second smallest value in v, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 45*k - 18 + 37 to the form g + j*k and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2763 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 + 2416*z**2 + 362388*z - 734472 = 0. What is z?\nAnswer: -303, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 59\/10 + (7 - (-414)\/(-60)). What is the common denominator of 23\/612 and 260\/15 + (-1 - k\/(-1))?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 14*h**2 + 16*h - 10. Let d be n(15). Suppose 0 = 8*m - d*m + 198. Is 12 a factor of 2\/((-6)\/(-395)) - 22\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let d(z) = -z**2 - 13*z. Let k(s) = -4*d(s) - 44*g(s). Let k(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:33 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -18*z**3 - 496*z**2 - 2270*z + 4368 = 0.\nAnswer: -21, -8, 13\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -228 (b) -5 (c) -2 (d) -370095\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9) + (sqrt(225)*-1 - sqrt(225)) + sqrt(225) + sqrt(225)))**2*-3 - (((-2 + sqrt(45) - sqrt(45)) + sqrt(45))*6 + 3).\nAnswer: -18*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -5.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/5)\/(d\/d**(-4\/5))*(d\/(d\/d**(-2)*d)*d)\/((d\/d**0)\/d) assuming d is positive.\nAnswer: d**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.81338 litres to millilitres.\nAnswer: 4813.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9104327 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 102*j + 6. Let v be x(51). What is the highest common factor of 720 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -2\/63, -120, -7 in ascending order.\nAnswer: -120, -7, -2\/63, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2401 or 2400?\nAnswer: 2400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/22 and 55\/14612.\nAnswer: 160732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*q = -15, -4415*y - 345 = -4411*y + 69*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o**1\/o)\/(o**(-1))**(-47) assuming o is positive.\nAnswer: o**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/5 + 130497*h\/5 + 1856082.\nAnswer: -3*(h - 43570)*(h + 71)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and 1152.\nAnswer: 1612.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 13*n + 65015 = 64475 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:57 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283071051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*i = -0*j + 1065, j = 5*i - 1085. Let d = j + 3641. Suppose 10*x = 12*x - d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 411 - -1?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252273*s**2 + 4*s + 6*s + 252032*s**2 - 10*s.\nAnswer: -241*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 0*d - 2*d + 4*d)*(11 - 3 - 5)*(2 + 3 - 4).\nAnswer: 6*d - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2845*m**3 + 9*m**2 - 82*m - 9. Let q(c) = 2*c**3 + c**2 - 9*c - 1. Give -18*q(x) + 2*s(x).\nAnswer: 5654*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -377 * 0.199.\nAnswer: -75.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.03, -1\/2, -319, 88 in ascending order.\nAnswer: -319, -1\/2, -2\/7, -0.03, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332*o + 3*b = 333*o - 561934, 561914 = o + b. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14889374 + 16476*q - 14889374 to a + b*q and give b.\nAnswer: 16476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. Let g be (-1)\/(q*3\/18). Suppose -g*w + 9 = -6*w. Which is the third biggest value? (a) 5 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/18 + (0 - -2). Let y = -39 + 42. Let l be ((-6)\/108*-6)\/(1\/y). Does v = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11144 and 671426?\nAnswer: 2685704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 t when four letters picked without replacement from gttgcttc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s + 120. Calculate the remainder when 69 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 2 j when four letters picked without replacement from uewjeuejjueeuje.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 0.27863?\nAnswer: 0.47863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 108 = -c. Suppose -4*p + 25 = -k, 55 - 5 = 5*p + 5*k. Let l = p - -3. Calculate the remainder when c is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i + 118*i - 37*i - 5.\nAnswer: 101*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 1\/10*a**5 - 1\/6*a**4 + 0 + a**2 - 1\/3*a**3 - a. Find m, given that s(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + (sqrt(3) + -1 - sqrt(3))*-4)*1 - (1 + 1*sqrt(363)*1 + -1*(sqrt(363) + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 244 - 122. Let g = q - 10. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -92. Let g be (15\/(-18) + 4\/12)*-10. Let l(z) = m + g*z - 4 - 5*z + z**2 + 3*z. Give l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479.039l in millilitres?\nAnswer: 479039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from {v: 1, o: 1, j: 1, t: 1, r: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 4. Let p be w(5). Let b(y) = 2*y + 9. Let s be b(p). What is the units digit of (s + 6 - 1)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*v - 3*v + 26*v**4 - 3*v**4 wrt v?\nAnswer: 276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o + 2, -4*u + 4*o = -236. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2104, 4207, 6310, 8413, 10516, 12619?\nAnswer: 14722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717 = 13*q - 170*q + 696 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 5. Let d be c(4). Is -14 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 304*p - 172*p - 668*p)*(2*p - p - 3*p).\nAnswer: 1072*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 23 + -22 - (-4)\/6*-15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**19*v)\/v*v)*v)**(-1\/26)\/((v*v**(-3\/11)\/v)\/((v**(6\/13)*v)\/v)) assuming v is positive.\nAnswer: v**(204\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 75. Let y be 0\/((-2)\/(b\/(-1))). Suppose -5*p - i - 56 + 18 = y, p - 3*i + 14 = 0. Let v(u) = u**2 + 10*u + 11. Give v(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9706319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -2*13\/2)\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 44400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let x be ((-27)\/42)\/((-12)\/14). Which is the third smallest value? (a) p (b) x (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + 177\/5. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/16 - 0)*-6. Solve 7 = p + x, -10*x = -5*p - 5*x - m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/175 - -169\/525. Which is the fourth smallest value? (a) t (b) 1 (c) -49 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnennnnnelcll. What is prob of sequence cel?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Suppose -2*b - i = -20. Let w be (83 - 84)\/(-2*(-1)\/(-58)). Solve w = 5*v - 4*o, -v + o + b = -3*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 2*z + 1\/24*z**4 + 1\/4*z**2 + 0 - 1\/6*z**3. Determine g, given that o(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from yypyppyppyppypppyyy?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 128 + (-907 - -951) - 21\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*s**2*w**3 - 2*s**2*w**2 + 12*s**2*w + 5*s*w**4 - 22*s*w**2 + 3*w**4 wrt w?\nAnswer: -384*s**2 + 120*s*w + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229683 + 20*i**2 - 229683.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55080?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 27. Calculate i(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/401 in 5, -4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 198 = -264. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 7*v**2 + v - 4. What is y(5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuyttyuxxuxxcxxxtt. Give prob of picking 1 u, 2 t, and 1 x.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*m**3 - 185*m - 107*m**3 - 108*m as x*m + u*m**2 + b*m**3 + h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*x + 4, 0*x + 3*a - 3 = 4*x. Let y be 14\/4 - (-2)\/4. Suppose x*d = -y*d + 16. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1838465 divided by 52\nAnswer: -1838465\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l**3 + 83*l - 83*l.\nAnswer: -37*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -85*n + 303. Solve -13*t + 4 = -n*h - 9*t, -13 = h - 5*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3920 and 110824?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 1488002*a\/7 + 2975948.\nAnswer: 2*(a - 743987)*(a - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inx when three letters picked without replacement from lallixxiillxxlnailll?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -31. Let i = 71 - 69. Suppose -3*p - 4*o + f = 0, -2*o - i*o = 5*p - 112. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/23 and -59\/161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 4)*(1 - 5 + 2) + (3 + 2 - 4)*(1 + 2 - 4))*(-11*g**5 + 6*g**5 + 6*g**5).\nAnswer: -11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -3, -5, -1\/78, 0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2608 and 33\/2608.\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 4:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001483 to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2752119 - -2752118.89899922. Let t = h - -0.101. What is t rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(7280\/300))\/((42\/(-16))\/7)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 527, -1.2, -54?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 5:42 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3529243843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4410, 4068, 3498, 2700, 1674, 420?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/20 - 2\/(-5). Let f = -1047 - -959. What is the common denominator of -51\/8 and (-260)\/f - (3 + -2 + l)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1132 + -1133. Which is bigger: t or -214?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 77 + 27. Suppose 0 = -o + 6*o + k. Which is the nearest to o? (a) -4 (b) 57 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 18 + 3 + -122 + 120 - (0 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*v - 55 + 63*v.\nAnswer: 66*v - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12))\/((-86)\/2064).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/10276725 and 11\/30.\nAnswer: 20553450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2262*z**2 + 93*z + 577*z**2 + 570*z**2 + 578*z**2 + 533*z**2.\nAnswer: -4*z**2 + 93*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - 6 - (0 - 0). Let w = 20 + u. Solve 12 = w*k - 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.3827 to 1 dp.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(10\/3)\/t**(-13\/2))**(-3\/7)\/((t**(-3))**20)**(-19) assuming t is positive.\nAnswer: t**(-16019\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*j**2 - 308*j**2 - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114 + 172. Let p be y\/3 + 18\/27. Calculate the greatest common divisor of p and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41806?\nAnswer: 2, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*i**3*w**3 + i**3*w**2 + 4*i**2*w**2 + 82*i*w**3 + 20*i*w**2 + 2*w**3 - 2 wrt w?\nAnswer: -120*i**3 + 492*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81345*a**3*b - 68919*a**3 wrt b.\nAnswer: 81345*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545833.\nAnswer: 41, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 2*h**3 + 0*h**3 + (-2*h + h**2 + 2*h)*(-5*h + h + 3*h) - h**3 - 3*h**3 + 2*h**3)*(-1349*h + 1349*h - 1222*h**2).\nAnswer: 2444*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*c**4*f**3 - 2*c**3*f + c**2*f**3 + 2*c**2*f**2 - 106*c*f**3 wrt c.\nAnswer: 6672*c*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-8)\/(-3) - 3\/(-18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 14*k - 7. Let t(a) = -2*a**2. Give u(t(n)).\nAnswer: -28*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 31*v**2 + 22*v + 45. Let f be d(32). Let h = -270 - f. Sort 0, h, 16, 4 in decreasing order.\nAnswer: 16, h, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1939 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -24*k - 155. Suppose 14 - 8 = 2*v. What is the remainder when s(-7) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + r - 21. Let b be (1*-1)\/(r\/(-35)). Sort -3, b, 1 in decreasing order.\nAnswer: 1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4191, -2\/45, -0.4, 1\/9, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from hohrdhhhhrzhohihhho.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410 - -41234132?\nAnswer: 41233222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 3*h + 6, 2 = 4*n - 5*h + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/7))**47\/(n*(n\/((n**(-2\/7)\/n)\/n))\/n)**(-14) assuming n is positive.\nAnswer: n**(698\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 15. Solve -v*d - s = -8, 2*s - 7 = -d - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*y**3 + y**2 + 24*y**3 - 25 + 26*y**3 + 23*y**3 as n + m*y**2 + r*y + d*y**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 1264131?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -14. Suppose j + 4 = n. Let b be j\/20*(-5)\/(-8). Does b = -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k = -5. Let w = k + 2. Solve -h = o - 0*h, -12 = -w*o + h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, u: 2, y: 3}. Give prob of picking 2 l, 1 u, and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-90) + (-8)\/30. Let d = 31 + -247\/8. What is the closest to 2\/7 in d, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**4\/6 + 44*v**3\/3 + 121*v**2\/2 + 145*v. What is the tens digit of u(43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 33092.\nAnswer: -1\/33092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -59960803 to the nearest 100000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1230, -1187, -1094, -933, -686, -335?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2 (c) 130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 2*s - 4. Let h(b) = b**2 - 7*b + 6. Let w be 2\/8 - (-46)\/8. Let g be h(w). Suppose -2*r - 2*k = g, 5*k - 2*k = r + 20. Give z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-10) + 2)*-5. Does 20 divide (-25)\/4*6*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)\/(m**6*m))**22\/((((m*(m*m\/m**(1\/11))\/m*m*m)\/m)\/(m\/m**(2\/23)))\/(m*(m\/(m**(1\/3)*m))\/m)**(12\/5)) assuming m is positive.\nAnswer: m**(-1332769\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 5*f - 6. Suppose f = u - 13. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-186)*(-7)\/(-56) - 2\/6\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 654261870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -14, -11, -8, -5, -2?\n\"Answer: 3*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2\/5*b - 7\/10*b**4 + 2 + 6\/25*b**5 - 1\/30*b**6 + 16\/15*b**3 - 9\/10*b**2. Factor h(i).\nAnswer: -(i - 2)*(i - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j*j**21)))\/(j\/(j*j*j**20))*j**(2\/7)*j*j**(-5))**(3\/28) assuming j is positive.\nAnswer: j**(423\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1687824*o - 199 - 1687826*o + 18.\nAnswer: -2*o - 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 9 - 39. Suppose -h + 6 = -y. Let j(l) = 3*l**2 + 17 - y - 8. Let f(x) = 2*x**2. Calculate f(j(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*r - 35, -25 = -2*q + 4*r - r. Suppose -3 = q*x + 7. Put x, 5, -2\/11 in descending order.\nAnswer: 5, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 136*b*o + 2*b + o*z - 3*z + 2 wrt o.\nAnswer: 136*b + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284934799?\nAnswer: 284934799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + (-48)\/(-20). Let i be (3\/9)\/(y\/228). Let w = i - 7. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - 12) + 6 - -3 - (4 - 5) - 7?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93\/2 - 5\/10.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*w - 101, 91*w - 95*w - 4*h + 88 = 0 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 8*y**2 + 5*y + 6. Let f be v(6). Let d be (-1)\/3 + (-209523)\/f. Let x = d + 1166. What is the common denominator of -101\/16 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 - (-13 - (21 + (-40 - -18))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442 - 2662 = -s - 184*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 11*j - 5. Let t be l(-10). Let v be -1 + 369999 + (7 - t). Suppose 6*q = q + v. What is q rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/21 - 1573\/(-77). Suppose -c + 18 = -m. Suppose -3\/2 + 2*t - 1\/2*t**m = 0. Calculate t.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let u(x) = 7*x + 25. Let y(q) = 3*o(q) + u(q). Let l = 179 + -165. Is 27 a factor of y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.08 + -0.08. Let c = 0.287 - 0.087. What is the closest to 0.1 in c, m, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/9 + 116*f**3\/9 + 382*f**2\/3 - 6040*f\/9 + 6536\/9 = 0.\nAnswer: -43, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832974 (base 10) to base 15.\nAnswer: 116c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3\/(-27)*4\/(-8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117141 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2288, -4575, -6862, -9149, -11436, -13723?\n\"Answer: -2287*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - -105. Suppose 3*a = -4*r + 575, b = -0*r + r - 4*a. Suppose -3*y + 295 = 4*k, 149 + r = 4*k + 5*y. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h**7 + 0*h**3 + 35\/24*h**4 - 9*h**2 + 0*h**6 + 0*h**5 + 13\/336*h**8 + 0*h + 0. Find the second derivative of n(k) wrt k.\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 2*f**2 + f. Let c(r) = 3*r**3 + 2*r**2. Calculate 3*c(b) + 2*v(b).\nAnswer: 3*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001402 (base 6) in base 11?\nAnswer: 352a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Calculate prob of picking 1 h, 1 f, 1 u, and 1 j when four letters picked without replacement from jhujuhsjsfhhsjfjsjsj.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -302fe - -2c?\nAnswer: -302d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**22)\/j**(2\/15) assuming j is positive.\nAnswer: j**(-317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234175 is divided by 186.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from ebyhygm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p. Let h(n) be the first derivative of 299 - 296 + n - n + 9*n**2. What is h(s(x))?\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2197*c**6\/60 + 169*c**5\/5 - 13*c**4 + 8*c**3\/3 + 7*c**2 - 17. Let t(x) be the second derivative of f(x). Factor t(n).\nAnswer: -2*(13*n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -231, -489, -747, -1005, -1263, -1521?\n\"Answer: -258*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:04 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 300\/12*7\/((-637)\/39)*-7\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (70\/220 + 4\/22)*2. Let a be (6\/(-28))\/(-3*3). Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-18 - (3 - 2)). Is 1341\/(-6)*10\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2 + 18*a**3 + 100 + 3*a**2 - 21*a**3 + 9*a**3 wrt a.\nAnswer: 18*a**2 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*t + 629*t + 58*t - 1256589. Calculate the greatest common divisor of t and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -872 = -7*k + 52. Suppose -3*d + 75 = -k. Sort 1, d, -3 in increasing order.\nAnswer: -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 4*r - r)*(-4 - 2 + 7) - 2 - 2*r + 2 + 0*r - 2*r - 3*r - 1 to the form l + v*r and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 1. Let c(b) = 4*b**2 - 82*b + 39. Let h be c(20). Give a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from qqqqqqqqqzqqqqqzqq.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 3*q**2 + 87 - 167.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 138 and -4.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.6, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Suppose 0 = -a + 1, 0 = 4*q + a + 1 - 14. Let h(f) = -3 - 16*f + q + 12*f. Give j(h(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1047894\/605 greater than or equal to -1733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8691431970?\nAnswer: 2, 3, 5, 13, 22285723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t - 194. Give k(-62).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 576661688 divided by 5288\nAnswer: 109051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 4416?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.07, -23 in ascending order.\nAnswer: -23, -1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 5*v**2 + 4*v**2 + (-v + v + 2*v)*(20*v - 49 + 49) - v**2 + 0 + 0.\nAnswer: 41*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 11546, 38742?\nAnswer: 11546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 divided by 61?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l*l\/(l**(1\/8)\/l)*l)*l)\/(l*l\/(((l*l*l**20)\/l)\/l)))\/((l*l**10)\/(l*(l**(3\/11)*l)\/l)) assuming l is positive.\nAnswer: l**(563\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10368 divided by -32\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 + 1.25. Let t = r + -1.5. Sort 1, 0.2, t in descending order.\nAnswer: 1, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010011101111000101011 (base 2) to base 4.\nAnswer: 22131320223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/252 and 17\/107786.\nAnswer: 1940148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 541? (a) 1\/5 (b) 3 (c) -2\/3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o**2 + 2*o**2)*(0*o**2 + 3*o**2 - o**2) - o**4 - o + 3*o - o.\nAnswer: 5*o**4 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/3391, -1\/10, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19756596 and 6.\nAnswer: 19756596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -18931 and -18923 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -510646 (base 7) to base 4\nAnswer: -111023230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 11*c**2 + 14*c - 15. Let f be t(5). Calculate the highest common divisor of 480 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l - 125 = 42*l. Solve -3*f + 18 = -0*k + 2*k, -5*k + 35 = l*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*c**4 + 363*c**3 - 2*c**2 - 588109*c?\nAnswer: 3096*c + 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*u - 3*u - 3 + 3 + 1 - 2*u - 1 + (2*u + 3*u - 3*u)*(-2 + 0 + 0) - 3*u + 4*u + u + 0*u + 2*u - 3*u + 4*u - 4*u + u)*(2338 + 70*u**2 - 2338).\nAnswer: -350*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhv when four letters picked without replacement from {y: 5, x: 2, v: 1, u: 1, h: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/40 and 43\/96963676.\nAnswer: 969636760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10625*g**3 - 5*g**2 - 8*g + 423061 wrt g?\nAnswer: 31875*g**2 - 10*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.797618 and 2.8742767.\nAnswer: 2.0766587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2 + 15 + 22*k - 16. Let f be 5\/(-25)*4 - 8\/40. Determine y(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -284, -963, -2102, -3707, -5784, -8339, -11378?\n\"Answer: -i**3 - 224*i**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcsscfsfscsfccffss. What is prob of sequence cf?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 12. Let a(d) = 11. Let i(w) = -5*a(w) - 4*m(w). Let n be i(-8). Let u = n + 61. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-637)*(-21)\/18)\/((-44)\/22)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 648 = 38*c - 135*c + 1452 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 0*q + 2*q)*(-362 - 16*q + 362 + 3*q) in the form i + x*q**2 + v*q and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.38 + 1.62. Let f = -0.83 + -0.17. What is the closest to p in 0.2, f, -1\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1300) - (sqrt(1300) + -2))*-4)**2 + 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 17494?\nAnswer: 682266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + f)*(18*f + 23*f - 11673 + 11669).\nAnswer: -41*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5392 > 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -2*x + 211. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21335512 (base 7) in base 13?\nAnswer: -4bb4ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ttttitttttiiitttti?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8046?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (16 + 12 + (-57 - -13))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -628.999539 + 629. Round j to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74737\/4 - -18684. Which is the closest to w? (a) 0.4 (b) -337 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006029974965 to six decimal places.\nAnswer: 0.00603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224*a**2*l**2 - 2*a**2*l - 10*a**2 + 245*a*l**2 - 65*a*l wrt a.\nAnswer: -448*l**2 - 4*l - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35897 - -35912. Suppose 5*s + 2*x = 6*s - 83, 2*s = -5*x + 130. What is the highest common divisor of s and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 18*g - 34. Let h be (1\/2*3)\/(2\/(-8)). Let q = 10 - h. Let v be s(q). Which is the second smallest value? (a) -0.2 (b) v (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 192, 1338, 3218, 5808, 9084?\n\"Answer: -4*n**3 + 391*n**2 + n - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 3) + -38 + 40 + -4 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2926, 5920, 8914?\nAnswer: 11908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 7*r**5\/180 + 151*r**4\/144 - 11*r**3\/12 + 1873*r**2. Suppose j(g) = 0. Calculate g.\nAnswer: -11, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1358.110064 - 1358.2. Let w = 26.085536 + r. Let b = -26 + w. Round b to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 + 0 = 0. Let p(q) = -2*q**3 - 2*q**2 + 3*q + 3. Let f be p(-3). Let o be (-2)\/(-4) - f\/(-12). Solve -o*h + m = -10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1088)*-2 + 0)**2 + -5 + ((sqrt(1088) - sqrt(1088)*2 - sqrt(1088)) + 1)**2)*5 + 3.\nAnswer: -160*sqrt(17) + 108783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 41 = -4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1556*t = 1567*t. Let g(z) be the second derivative of t + 0*z**2 - 8*z + 3\/20*z**5 + 1\/4*z**4 - 1\/2*z**3 - 1\/10*z**6. Factor g(s).\nAnswer: -3*s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzqfozozuqossozoqsz. Give prob of picking 1 z, 1 u, and 1 f.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*a + 499*a - 992*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 2. Let f be y(8). What is the tens digit of (-3)\/f*-54 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2869 - -3050. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -6*w - 26, -166*w + 317*w = -z + 147*w - 19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i + 11*i - 24*i)*(1 + 1 + 0)*(4 - 2 + 0).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.3. Suppose 7*c + 3*b = 15, 3*b + 0 - 33 = -c. What is the smallest value in 1, t, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus 239.7374?\nAnswer: -241.1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttkkkkttttkt. Give prob of sequence tktt.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 take away -0.18?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2\/3*f**3 - 10*f + 1\/2*f**2 + 2. Is y(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8124*t + 275*t + 725*t as l*t + r and give l.\nAnswer: 9124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b1 - -3?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10992, -43947, -98874, -175773, -274644?\nAnswer: -395487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620890 to the power of 1\/2, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -566*o**3 - 39195*o**2 + 429903652?\nAnswer: -1698*o**2 - 78390*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-330)\/(-4))\/(75\/60). What is the highest common divisor of 150 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22832684 divided by 6.\nAnswer: 11416342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/400722 and -11\/169764.\nAnswer: 34462092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4695 + 11*s**2 + 4695. Let j(o) = -3*o + 0 + 0 + 0. What is j(g(h))?\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/15 + -121\/105. Let c(j) = j**3 + 12*j**2 + 13*j + 152. Let h be c(-12). What is the second smallest value in -3, h, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -14. Let x = p + -1. Solve 4*d - 4*z = z + 33, -3*z = x*d + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10883 - 10*l**2 + 8*l**2 - 1992.\nAnswer: -2*l**2 + 8891","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hho when three letters picked without replacement from hhohhoooohhhhh.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 3202 = -84*t - 72*t + 1088 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/3*((-28)\/15 - -2). Sort r, -5, 5, 0 in descending order.\nAnswer: 5, r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, d: 5, y: 3, j: 1, h: 2, r: 3}. Give prob of picking 2 h and 2 d.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Is 1543*(0 + b + 1 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95368*i**2 + 131671*i wrt i?\nAnswer: 190736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 h when three letters picked without replacement from thokr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + m - 2*s - 14, 5*s + 14 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 7. Let v be 3\/9 + 1*76\/o. Let i = -10 - -9. Which is the second biggest value? (a) i (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*(-72)\/(-27). Let b be (3\/3)\/((-1)\/z). Solve -h = -b*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3 + 22246*g**2 + 22212710*g - 248856444798 = 0?\nAnswer: -6877, 2631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*x**2 - 481*x**3 + 99*x**2 + (x**2 + 0 + 0)*(5*x - 4*x + 0*x).\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3*t - 5 - 3)*(-4*t + t + t).\nAnswer: -6*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 710368 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 331528 = 2*r - 3*l, 16 = -4*l. Let f = r + -1115. Round f to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7383236 to 2 decimal places.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 13*l**2 - 14*l - 1. Let i be q(8). Let o = i - 261. Which is smaller: o or -53?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2 + -63 + 7. Let x be n\/24*(-1 - -5). Let m be (0 - -5)*(-9)\/x. What is the highest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 8*w**3 - 13)*(17 + 972*w - 27 + 10 + 56*w) + (2 - 2 + w**2)*(-2*w**2 + 4*w - 4*w) in the form r*w**4 + j + p*w**3 + m*w**2 + v*w and give r.\nAnswer: -8226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18.2 from -53807.4411.\nAnswer: -53825.6411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 - 5 - 10*p**3 + 4*p**2 - 8 with respect to p.\nAnswer: -30*p**2 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - a - 105 = 0, 0 = 3*h - 871*a + 868*a + 81 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, -3197 in descending order.\nAnswer: 0.1, -0.1, -3197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 10 = 42. Let j = 15 + m. Let a(r) = -8*r - 1. Let t(p) = 7*p + 1. Let u(y) = j*a(y) + 3*t(y). Differentiate u(q) with respect to q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127+-2794\nAnswer: -2921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*q + 16, 9 = -3*s - 6. Suppose q = 2*r - r. Calculate the highest common factor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-4))\/5 + (-4)\/(-2). Suppose -r - 18 + 6 = -u*l, -5*l = -2*r - 29. Suppose 10*h = l*h + 400. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*q + 33*q + 21*q)*(15 + 8 - 6).\nAnswer: 357*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 3:20 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**10*d*d*d))\/d)\/(d\/(d**(1\/5)*d*d)*d) assuming d is positive.\nAnswer: d**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 88 = -38. Suppose 3 = 9*l - 6*l. What is the second smallest value in l, -0.5, b, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*h - 15*h**3 + 7*h**3 + 517 + h + 192*h**3 wrt h.\nAnswer: 552*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j, -4*p - j + 1861 = -2171. Let m = -19 + 24. Suppose -m*r + 11*r = p. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -169, -343, -577, -871?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuuyyt. What is prob of sequence uu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1370, 1367, 1364, 1361?\nAnswer: 1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -228 - -226. What is the third biggest value in 1\/6, s, 26?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258255554.\nAnswer: 2, 3, 209709259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 + 1.6. Let p = u + -0.2. Let i be 3 + ((-32)\/(-3))\/(-4). Which is the closest to i? (a) -4 (b) -1\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91028 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4330, -4332, -4336, -4342, -4350, -4360, -4372?\nAnswer: -4386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + b - 221 = 0, -4 = -3*v + 4*b + 147. Let h = 1 + 1. Suppose h*m = -m + v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 79 (b) 1.4 (c) -3 (d) 0.1 (e) 2\/13 (f) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 4*u**3 + 38*u + 27763 - u**3 - 27763 - 38*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 5 = -2*y. Let h = 25 - y. Let r = 9 - h. Which is greater: r or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85670 and 43550.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 12) to base 5\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -432 (base 11) to base 4\nAnswer: -20013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -9.9, -24\/5 in descending order.\nAnswer: -2\/19, -24\/5, -9.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/5 (b) -16.2 (c) -3\/1324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4 = 3*u, 2 = w + u - 3*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-30) + (-14)\/(-10). What is the units digit of x*(-2)\/(-8)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 - 3*x - 1. Let n(s) = s**2 + 10*s + 7. Let p be n(-9). Let j be b(p). Solve -2*m - j = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*t + 11680 = -28515 + 5745 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) - 140\/50. Let n be 7\/3 - 2\/b. Sort n, -20, 0 in decreasing order.\nAnswer: n, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-510)*25\/(-10)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g + 24. Let c be (-97)\/(-5) - 20\/50. Let j be d(c). Let l = 117 + j. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 90 = -30*j. Let v(w) = -2 + 438*w - j*w**2 - 891*w + 442*w + w**3. Suppose -4 - 7 = -l. Give v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3670\/(-2202))\/(10\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rixfxxxxxxxxhxifxn. What is prob of picking 1 n, 1 f, and 1 h?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 248, 2, 5, -3, -28, 0 in ascending order.\nAnswer: -28, -3, 0, 2, 5, 36, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let l(o) = -304*o**2 + 6*o - 4. What is k(l(d))?\nAnswer: -304*d**2 + 6*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2. Let q(t) be the third derivative of -t**5\/20 - 8*t**2. Calculate w(q(a)).\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 - (-8 - (-8 + 2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 335?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 215 = 955. Calculate the common denominator of (i\/24 + 1)*2\/14 and (-7)\/14 - (-38)\/16.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/42)\/((-2)\/1576) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11300 and 0.1?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 4*r**2. Let k be h(-5). Suppose 6 - k = 4*l. Let v = l - -63. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.1, -0.01, -2\/17, -1, -24?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 10\/11 (c) 886719\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 13 = 2*h + 14*y, -4*y - 4 = -6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7*p = 9*p, 5*m - 4*p - 12 = 9*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 6*k**2 + 421786 - 421789 - 8*k**3 + k - k**4 to d*k**4 + y*k + t*k**2 + c*k**3 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154.6 + -3.\nAnswer: -157.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 1. Let m be x(4). Let l be 51\/m + 4\/(-6). Suppose c + 5*i = 19, -2*c = -0*i - i - l. Which is smaller: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16649547.\nAnswer: 3, 101, 54949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77752922483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeataazstazzrza. Give prob of sequence zta.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-419)\/(-104) + (-8)\/(-416)*-8. Let b = v - 109\/24. What is the closest to -1 in 0.3, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 6*i**2 + 2*i - 19. Give t(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1690 divided by -582989?\nAnswer: 1690\/582989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4265 divided by -1?\nAnswer: 4265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 25. Suppose 0 = -c*q + 7*q. Suppose -w - w + 16 = q. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {v: 1, u: 1, g: 1, d: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1 - 2\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2\/(-2)*-483. What is the highest common factor of 69 and j?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 124 (b) -7 (c) -3 (d) 22 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - (-1729)\/(-171))*3*-1. What is the third biggest value in -2\/7, 3\/7, 0.06, z?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(833) + (sqrt(833) - (sqrt(833)*-2)**2)) - -2*(sqrt(833) + sqrt(833) + 2) - (-1 + -1 + sqrt(833) + 1 + sqrt(833) + (sqrt(833) + 0)*2)**2.\nAnswer: -26653 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 134*k - 825 = -250. Solve 3*a - 3 = 0, -41 + 40 = -3*d + k*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*((-39)\/15 + 1) + 0. Calculate the smallest common multiple of 40 and 22\/4 + (-8)\/i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 585887687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 140?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 48 - 53 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002594636 rounded to 7 decimal places?\nAnswer: -0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrlrltvotlvovtlyrto. What is prob of sequence vrt?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 28 and -1664922436.\nAnswer: -1664922408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8019 + 264661\/33. What is the common denominator of -31\/18 and t?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14841826 and -6.11.\nAnswer: 14841819.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1672\/(-9744) + ((-11)\/6 - -2). Let z = -208\/1015 - r. Which is the closest to 0? (a) 24 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, -103, -295, -563?\n\"Answer: -38*g**2 - 2*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + 5*v + 3*v**3)*(4*v - 3*v + 0*v) as f*v**2 + c*v + l*v**4 + x*v**3 + y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (3 + (9 + -11 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 1280 = -5*b, -m - 5*b + 440 = 0. Is 98 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let y(n) = -198*n. Give y(a(r)).\nAnswer: 198*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**3 + 6 - 3 - 4 + 21*j**3.\nAnswer: 33*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2147*s - 2*s**3 + 3*s**2 + 2147*s + (-s - 3*s + 3*s)*(-s**2 + 5*s**2 - 5*s**2) to the form k*s**2 + r*s**3 + f*s + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 - 6*w + 2. Let d = 13 - 7. Let k be n(d). Put -1, k, 4 in decreasing order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3979389457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 14*r. Let f be u(15). Let i be ((-35)\/f)\/((14\/108)\/7). What is the highest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 26*b. Let r(q) = -4*q - 2*q + q + 6*q + 5*q. What is p(r(w))?\nAnswer: -36*w**2 - 156*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 34. Let k be (2 + 1)\/(-3) - b. List the prime factors of 18\/k - (-170)\/8.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10172142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**2 - 6*u + 4. Let r be x(-3). Which is smaller: -33 or r?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -8, 62, -72, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 22*o + 24. Let v be l(10). Solve v*h - 10 = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ac2968 (base 13) to base 11\nAnswer: 2324651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 22. Let y be w(-9). Let b = 15 + y. Factor -9 - 2*t**2 + 2*t**b + 6*t - t**2.\nAnswer: -(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*w**5 + 9112484*w**4 + 7652*w**2 - 27227 wrt w.\nAnswer: -420*w**2 + 218699616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*h + 20, -l - 12 = 3*h - 0*h. Let f = -10 + 14. Suppose f*m + 8 = -8. Sort -2, m, l in ascending order.\nAnswer: m, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*i**2 - 1 + 51*i**2 + 57*i**2)*(0*i + 2*i + 0*i).\nAnswer: 128*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 129*c + 126*c = -3371, f - c = 841. Is f > 841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 divided by -194?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/6 - 7*d\/2 - 27 = 0. What is d?\nAnswer: -6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1284 and (123675\/(-7276) + 17)*172*(-1)\/(-26).\nAnswer: 16692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-903)\/(-210) + 1*-4. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1515 - 182.9515. Let c = -183 - d. Let v = 133 + -395\/3. Sort c, v, 4 in decreasing order.\nAnswer: 4, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3306 or 3290?\nAnswer: 3290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 149899937039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10*-1)\/(-36*6\/(-840)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(459\/442)*24\/16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = w + 33, -3053*w - 42 = -3049*w + 5*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*t - 2*v - 14, -2*v + 5 = -4*t - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-952)\/637296*-33*((-8)\/14)\/1.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 79 - 46 = 0. Suppose -6*a + 4*a = -10. What is the highest common divisor of a and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.74 - -1.7400142. What is m rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**3 + 3*d**2 + 82*d + 35. Give r(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -108, -252, -466, -756, -1128, -1588?\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by ((-1)\/(-3))\/(3\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2141467947465 + 2141467947465 - 16*n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -0.09, -0.5, -0.01, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497220141?\nAnswer: 3, 449, 2596303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u. Suppose 22 = 3*o - 2*o. Suppose -5*k + o = -8. Let h(q) = -q**2 - k*q + 6*q. Give b(h(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2733 is divided by 625.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1173 - -42?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2. Let u(b) be the second derivative of 0*b**3 + 0 - 1\/3*b**4 + 3*b + 0*b**2. Calculate m(u(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57889959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 4*a**3 - 3*a**3)*(4*a + 3*a - 6*a) + (7*a - 7*a**2 - 7*a)*(2 - 2*a**2 - 2) - a**4 - 5*a**4 + 5*a**4.\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 727, 763, 871, 1087, 1447, 1987?\n\"Answer: 6*a**3 - 6*a + 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j. Suppose -z - 1 = j, z + 21 = 4*y + y. Solve -v + 25 = 3*c - 3*v, c - y*v - 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 + (99 - 19) + 57\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4454 or -1?\nAnswer: -1\/4454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 = 1. What is the third derivative of -37*z**4 - 10*z**2 + 28*z**4 - z**c wrt z?\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 14 - 6 = 0. Suppose z*q + u + 46000000 = -0*q, 0 = u. What is q rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + 138.2. Let y = -11 + s. What is the nearest to -1 in y, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 - 7*w**2 - 9*w - 6. Let b(q) = q**3 + 3*q**2 + 4*q + 3. Let v(m) = -5*b(m) - 2*y(m). What are the prime factors of v(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (-5 + 4*sqrt(3))*-1.\nAnswer: -4*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 99*g - 2144.\nAnswer: -(g - 67)*(g - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 + 2*m**2 + 17*m + 10725. Does 33 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2009987489 - -0.201. What is q rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078943301.\nAnswer: 7, 149, 2952007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2\/7 + 9339*x\/7 - 127782 = 0.\nAnswer: -3206, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6954438 by 6.\nAnswer: -1159073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 - -95. Suppose -u*i = -147*i - 288. What is the remainder when i is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36 - 62535296791.\nAnswer: -62535296791.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -2145809.25.\nAnswer: -2145806.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14719250 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 - 784081324*k - 76847940330699122 = 0. Calculate k.\nAnswer: -196020331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60528 by -20176.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*-2*-6)\/(sqrt(3) + sqrt(72)\/sqrt(6) + sqrt(3)))**2 + (sqrt(77) + sqrt(77)*2*3)\/(sqrt(77)\/(sqrt(343) - sqrt(7))).\nAnswer: 63 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*n + 126*n + 850. What is the remainder when 194 is divided by n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357712 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*(90\/1116)\/(-1).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 32121?\nAnswer: -32120.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 5, -48.4, -307 in descending order.\nAnswer: 5, 1\/5, -48.4, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 19*n**4\/12 - 533*n. Let t(x) be the first derivative of 0*x - 3\/2*x**2 - 2. Calculate t(f(l)).\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 117576793 a multiple of 1682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11376.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 32339 = -m, m + 19675 - 100540 = -5*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**8\/6720 + y**7\/360 + y**6\/120 + 7*y**5\/120 - y**4\/4 - 10*y**2. Let x(a) be the second derivative of s(a). Calculate x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(8) - (sqrt(8) - sqrt(32)\/sqrt(4))))**2 - (5 + -1*sqrt(11) - sqrt(11)).\nAnswer: 6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -3, 4 in descending order.\nAnswer: 4, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 + 2*l - 1. Let o be v(-3). Let c be (2\/(-5))\/(o\/(-10)). What is the greatest common factor of 22 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -376 - -783. Calculate the remainder when a is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 7359*h**2 + 29037*h - 859599.\nAnswer: 3*(h - 9)*(h + 13)*(h + 2449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2671 (base 11) in base 7?\nAnswer: -13051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 29 = 4*r, -2*r - 2*r = 4*p + 52. Which is smaller: p or -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**6\/15 + 45*w**5\/4 + 286*w**4\/3 + w**2\/2 + 580*w. What is the third derivative of l(i) wrt i?\nAnswer: -48*i + 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 + z. Let q be h(-4). Solve 0*u = -3*u + q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103817\/40 - 12987\/5. Find the common denominator of -149\/756 and k.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2018 - -2019. What is the nearest to -1 in h, -2, 1\/3, -28?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(-h**2 + 26*h**2 + 31*h**2) - 554*h + 15*h**2 + 554*h.\nAnswer: -97*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18945 + -11307. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 - 61 + 21*g + (-4*g - 3*g + 0*g)*(0 + 4 - 2) to n*g + r and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {l: 5, z: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81604*l**5 - 13*l**2 + 64876442*l wrt l?\nAnswer: 1632080*l**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5\/4 - 51*w**4\/4 - 75*w**3\/2 + 132*w**2 = 0 for w.\nAnswer: -11, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/42306258 and -143\/12.\nAnswer: 84612516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -19. Let q(f) = -29*f - 75. Does 30 divide q(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(2*j + 82 + 2*j - 75).\nAnswer: -16*j - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 2 o when four letters picked without replacement from {o: 3, j: 1, y: 2, a: 3, r: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 - 204*f**2 + 204*f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*w + 236, -10*u + 14*u - 180 = -2*w. Suppose -3*f + u = -2*f. Suppose -2*y + f = -0. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 1\/8 (b) 83\/20 (c) 18 (d) -0.4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19084604 a multiple of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6944 - -15a?\nAnswer: 6aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/7))\/(f**(-3\/7)\/f))\/(((f*f*f\/f**(-4)*f)\/f*f)\/f**(-4)))\/(f\/(f**(-3)*f)*f**7)**16 assuming f is positive.\nAnswer: f**(-1186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-7) - (-52)\/(-91). Let l be 50\/8*m*(-72)\/(-45). Let n be (30\/l)\/((-21)\/(-8)). What is the smallest value in n, 0.06, -2, -6\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 36*g**2 + 11*g - 10. Let y(c) = -13*c**2 - 4*c + 3. Give 3*i(r) + 8*y(r).\nAnswer: 4*r**2 + r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23220004 (base 5) in base 9?\nAnswer: -350832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 715 and 1625?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101022002221201 (base 3) in base 13?\nAnswer: 119878c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3026303?\nAnswer: 7, 97, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v**5 - 10*v**4 + 22*v**3 + 10*v**2 - 16*v = 0 for v.\nAnswer: -8\/3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovroovovvvrvrovoo. What is prob of picking 1 o and 2 r?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2636 - 62?\nAnswer: 25a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/18 - 140*a**3\/27 + 538. Factor g(z).\nAnswer: 2*z**2*(z - 70)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 36*h**2 - 65*h - 135. Give p(-34).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 706 divided by -102\nAnswer: -353\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5369 = 12*q + 5513 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4261, -4260, -4259, -4258?\n\"Answer: s - 4262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 - -53. Put s, -1, -4, 7 in ascending order.\nAnswer: s, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17905570, 35811162, 53716804, 71622520, 89528334, 107434270?\nAnswer: 125340352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:00 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -3, -52\/11 in decreasing order.\nAnswer: 1, 0, -3, -52\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*o + 90, -3*w = -3*o - 2*o + 98. Let l = w - 2325. Let h = l + 1641. Round h to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = 4*f + 4, i + 1 = 0. Let o(v) = v - 10. Let t be o(7). Put 1, t, f in increasing order.\nAnswer: t, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 741\/(-182))\/(52\/(-14) - -4). Let g = -7 + 2. Which is the biggest value? (a) g (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 8. Let s be c(-6). Calculate the common denominator of 4 + -3 - 62\/28 and (1\/2)\/(s\/(-73)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 137 and 0.095225473.\nAnswer: 137.095225473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.0577 + -51. Let u = m - 609.0577. Let k = u + 605.71. Round k to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 392 = 20. Calculate the remainder when 576 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + -131. Suppose -q + 4*m = -22, -5*q + y*m = -3*q - 24. Solve -4*a + 10 = -q*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -73. What is the nearest to w in 2\/3, -0.2, -0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18987 - -48226. What are the prime factors of z?\nAnswer: 7, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 - 32*m**3 + 90*m**3 - 40*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*b**2 - 328\/15*b - 326\/15.\nAnswer: -2*(b + 1)*(b + 163)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -29*j**2 - 20 + 6*j**2 - 35*j + 22*j**2 - 82. Determine s(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/48 and 59\/324592?\nAnswer: 973776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14325, -57696, -129975, -231156, -361233, -520200, -708051, -924780?\n\"Answer: s**3 - 14460*s**2 + 2*s + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1542 - 1518. What is the remainder when 46 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/63 + 20\/63. Which is the nearest to -1? (a) -1 (b) -1\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/48 - (-746)\/6. Suppose -2*z + 779 = m. What is z rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 17 + -7 - -5) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -3 (c) -0.03 (d) 2\/3 (e) 266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 169*0.008\nAnswer: 1.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2117148 is divided by 884?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iihihiiihih. What is prob of picking 2 i?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4375824, -4375810, -4375790, -4375764, -4375732, -4375694, -4375650?\n\"Answer: 3*g**2 + 5*g - 4375832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71440.\nAnswer: 2, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 856 in -0.4, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -47?\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 16, -64, 6, -2 in ascending order.\nAnswer: -64, -2, 1, 2, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2241 and 1743.\nAnswer: 15687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 + 61*z + 36. Give u(-16).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 145923*m**2 - 381. Let j(d) = -1920*d**2 + 5. Let s(b) = 381*j(b) + 5*x(b). Let i(t) = 2*t. Determine s(i(g)).\nAnswer: -7620*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477168199?\nAnswer: 477168199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32448*i - 27241.\nAnswer: 32448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 0.2203?\nAnswer: 0.2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c*c\/(c*c\/(c*c**(-6)))*c)))\/c)**(-36)*((c**(-1\/25)*c)\/c)\/(c*c**(-2\/13)) assuming c is positive.\nAnswer: c**(58212\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5907071421 to the nearest integer?\nAnswer: 76857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*t + 14, -31 = 5*g + 2*t + 15. Let i = g + 9. Let j(n) = 2*n**2 + n + 1. Let r be j(i). Solve r*z - 2 = c, 1 - 7 = 2*z - 3*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 22*h**2 - 2*h - 40. Let g be u(-22). Suppose 5*n = 4*p + n, -2*p + n = -g. Solve 8 = -2*m + p*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3575, -3569, -3563, -3557, -3551, -3545?\n\"Answer: 6*o - 3581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353326?\nAnswer: 2, 13, 52051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, -13, -2, -0.11, 100 in descending order.\nAnswer: 100, 91, -0.11, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14099342 and 0.02.\nAnswer: 14099342.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/7 - 211248*k**2\/7 + 1267542*k\/7 - 271620 = 0?\nAnswer: -105630, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 840377 or 840378?\nAnswer: 840377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*o**2\/17 - 4154*o\/17 - 3220\/17.\nAnswer: -2*(o + 230)*(9*o + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113962 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 31. Let j(x) be the second derivative of -1\/15*x**6 + 2*x + 0*x**a + 0 + 0*x**2 + 0*x**5 - 1\/2*x**3. Find the second derivative of j(c) wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 357*k**6\/2 - 905*k**3\/3 + 1493. Find the third derivative of d(r) wrt r.\nAnswer: 64260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, e: 19}. What is prob of sequence teee?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-45)*(-6)\/(-4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 336*d**3 + 4*d**4 + 0*d**2 + 1 - d**2 - 4*d + 337*d**3 as r*d**4 + a*d**2 + n*d**3 + k + s*d and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:15 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-529*r + 0*r + 42 - 38 - 2*r**2)*(2*r**3 - r + r).\nAnswer: -4*r**5 - 1058*r**4 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2429 + 4609. Is (2\/(-8))\/((-5)\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3803?\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 7745*o - 628366.\nAnswer: -(o - 7663)*(o - 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 - 50*b - 1342*b**2 + 50*b + 76.\nAnswer: -1342*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -46144*h. Let c(q) = -q. Calculate c(z(t)).\nAnswer: 46144*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 49 = -3*s, -s - 11 = 3*n - 4*n. What is the units digit of (-2 - (2 + -3))*s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-126) - (152\/72 + -2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i - 11*i - 2*i + (-5 + 2 + 4)*(-34 + 6*i + 34) + 0*i - 7 + 2*i - 4*i.\nAnswer: -12*i - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - -2*(sqrt(171) + 2*sqrt(171) + sqrt(171) - sqrt(171)) - 6*((1*sqrt(171) - sqrt(171)) + sqrt(171)))\/(4*sqrt(225) - 2*sqrt(9)*-1))**2.\nAnswer: 19\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 369442*w**2 - 347325 wrt w?\nAnswer: 738884*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/126*(1 - -5). Suppose 5*t = -i + 4, -u*i = -4*i - 2*t + 10. Solve i = q + 2*f, q + f - 21 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-15)*d*d*d*(d*d**(-2\/11))\/d*d*(d**(-12)\/d)\/d**(-11) assuming d is positive.\nAnswer: d**(-134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 33*y - 10*y + 89*y.\nAnswer: 117*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 677.\nAnswer: 175\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvutuurrry. Give prob of picking 1 t and 2 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 10:32 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2801269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604146 is divided by 364.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56488? (a) -1\/2 (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 993*y**2 - 957*y - 12960. Give t(332).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/54 and -47\/300?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgp. Give prob of sequence gp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**3\/15 + 242*o**2\/5 - 29282*o\/5 - 898. Factor w(i).\nAnswer: -2*(i - 121)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137.4*-0.04949\nAnswer: -6.799926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -66, -0.5 in descending order.\nAnswer: 1.3, -0.5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 5, h: 13}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 s when three letters picked without replacement from {s: 3, h: 4, w: 4, g: 6}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) - (sqrt(99)*2 - sqrt(99) - sqrt(99) - sqrt(99)) - sqrt(99)) - sqrt(99))*6*-2)\/(sqrt(1296) - (-2*sqrt(1296) - sqrt(1296))*-5)*2.\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245.104 - -0.104. Let w = 248 + h. Let j be (-7)\/2 - 4\/(-8). Is w > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/3 + -4)*(-21)\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + p - p. Let i(a) be the first derivative of -a**3\/3 - 75. Determine s(i(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.9 (b) -3 (c) -31.7 (d) 2\/3 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7637 = 10*f + 7777 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 10*m + 32. Let i be (-3 - (1 - 12))*(0 + -1). Let a be n(i). Differentiate -y**4 + 4*y**4 - a*y**4 + 30 with respect to y.\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2322 = 10*k - 9188. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w - 14*w - 9*w + 36*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:28 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -29995641 to the nearest 1000.\nAnswer: -29996000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 873067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*b - 33, -2*q + b + 36 = 5*b. Let v be (-3)\/q - 159\/(-12). Suppose -r + v = 4. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36199186813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 3 (b) -4\/3 (c) -0.04 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*l + 13, -7*l - 23 = -2*u - 10*l. Let g = -155 + 1087\/7. Suppose -1\/7*j + 1\/7*j**u + 1\/7*j**3 - 3\/7*j**2 + g = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.11813 millilitres in litres?\nAnswer: 0.08711813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -14, 5, 3, 1\/2, -0.1 in ascending order.\nAnswer: -14, -0.1, 0.3, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12228 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 193 = 217. Find the common denominator of ((-1267)\/315 + r)*59 and 7\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 2. Let i = 255 - 263. What is h(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273755381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4313 (base 6) to base 16\nAnswer: 3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 106.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/15 > 227746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30008 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 + 32078*p\/3 + 513632.\nAnswer: -(p - 64204)*(p + 48)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 11:28 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*(-450)\/(-350)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:41 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*n - 10 = 0, -n - 5 = 45*p - 47*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86, 62, 16, -58, -166, -314, -508, -754?\n\"Answer: -m**3 - 5*m**2 - 2*m + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159247143641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = 1. Let p be 5 - 12 - (-2)\/(-2). What is the lowest common multiple of 22 and 4*((-12)\/p - t)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12699 + 23166. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 - 45\/(-12). Let h(v) be the second derivative of 7\/10*v**6 + 0 - 1\/12*v**d + v - 11\/10*v**5 + 1\/3*v**3 + 0*v**2. Let h(a) = 0. What is a?\nAnswer: -2\/7, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/473 and 55\/7.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-5 - (2 + -5)). Let j(i) = i**3 + 4*i**2 - 8*i + 1. Let w be j(-6). Let p = -114\/5 - w. What is the second biggest value in p, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m**3 + 2*m**2 - 45*m + 39. Let r(p) = 21*p**3 - 5*p**2 + 92*p - 88. Give 9*h(y) + 4*r(y).\nAnswer: -6*y**3 - 2*y**2 - 37*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/2 + 1776*c + 3555\/2.\nAnswer: -3*(c - 1185)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - 18?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 10*l**2 - 9 - 62*l**2 in the form v + y*l + h*l**2 and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/105 + 2\/105. Let u be (-26)\/(-52) - ((-7)\/(-2) + -1). Which is the fourth smallest value? (a) 3 (b) u (c) -5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/7 - 58\/7*w**2 + 16*w = 0. What is w?\nAnswer: -2\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*r + 2*x, 4*r - x = 3*r. Suppose 2*b + 2*c - 66 = 0, r*b - 39 = -c + 68. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {o: 3, u: 2, n: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {q: 3, k: 3, c: 3, y: 4, r: 1, z: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 70690983 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3642, -7275, -10908, -14541?\n\"Answer: -3633*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33490835*d**5 - 39365795*d wrt d?\nAnswer: -669816700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -41.8. Sort -0.4, -3, 4, t in descending order.\nAnswer: 4, t, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833816 is divided by 127?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*(-69 - -59). Sort 36, o, -2, 4.\nAnswer: -2, 4, o, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2506.1, -125, 2\/5, 0.04, -2\/13?\nAnswer: -2506.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1497 + -651. Suppose -29*j + 3311 - m = 0. Calculate the remainder when j is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.241 (b) 2\/9 (c) 0.488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 0 + 7*v - 1 + 6*v. What is the remainder when -3 + 35 + 3 + 0 is divided by a(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -61773.3?\nAnswer: 308866.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9664*x**3*y**3 + x*y**3 + 11*x*y**2 + 6*x*y wrt x?\nAnswer: -57984*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 237a24 + 1?\nAnswer: 237a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5904 and 23\/60.\nAnswer: 29520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {d: 2, q: 1, l: 2, a: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 0, -13?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 4:28 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*f*h**3*j*r + f*h**3*r - f*h**2*j*r + 2*f*j*r - 14*h**3*j*r - h*j*r + 12*j*r wrt h.\nAnswer: 216*f*j*r + 6*f*r - 84*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.82 + -115.82. Which is the second biggest value? (a) -4 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*(0 + 1))\/(4\/8). Let w be (30\/(-48))\/(2\/q)*-2. Let d(u) = -w + 252*u + 1 - 250*u. Determine d(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 3893?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6838205 to the nearest integer?\nAnswer: 2615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 20*p**5 + 48716*p**4 - 58484*p**3 + 9748*p**2 = 0.\nAnswer: -2437, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 334, -523, -1380, -2237?\n\"Answer: -857*r + 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 36)*(2 - 4). Let b = 135 - y. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 36*z**2 + 74*z - 211. Calculate q(34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f + 6. Let o(s) = 1 + 33*s - 14*s - 25*s + 7*s. Let k be -1*(0 - (0 - -6)). Determine k*o(l) - c(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1239 + 1944. Suppose 0 = w - 4*w + n. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -77. Let m(o) = 8*o + 20. Suppose -3*g = -3*j + 57, 5*g - 24 = -4. Let b be m(j). What is the highest common divisor of b and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -17333?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 + 1.3. What is the third smallest value in 0, a, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-5)\/(-210)*(-4)\/3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 29*v**2 + 164*v - 848. Give p(9).\nAnswer: 2977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3769\/2 - -37693\/20. Let g(y) be the first derivative of -6\/5*y - a*y**4 + 18 - 3\/2*y**2 - 4\/5*y**3. Factor g(i).\nAnswer: -3*(i + 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103295 - 3.2.\nAnswer: 103291.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.5137804 micrometers?\nAnswer: 0.0000000005137804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -940, -1462, -2006, -2566, -3136?\nAnswer: -3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-50)\/(-28))*50\/(-20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 77. Let h(c) = -2*c**2. Determine x(h(r)).\nAnswer: 6*r**2 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/45)*(r\/(r**(-1\/31)\/r))\/r assuming r is positive.\nAnswer: r**(1471\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -9722348.\nAnswer: -29167044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b**2 + 8*b + 16. Calculate the least common multiple of c(-3) and 70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 5:07 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -48818727*w. Let h(p) = 17*p**2. Calculate h(m(q)).\nAnswer: 40515557800308993*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47020, -47043, -47084, -47143, -47220, -47315?\nAnswer: -47428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 11. Let z be s(-13). Is (z - (-2 + 3)) + (2 - -650) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -656726 divided by 1\nAnswer: -656726","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99563422 and 954282?\nAnswer: 298690266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-2)\/(-2))\/2)\/((-70)\/(-35)))\/(703\/376808).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -18.1. Let y = 4.9 + z. Let d = -3.95 + y. Round d to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-2)*96\/(-56). Suppose -5*s + 0 = -f. Let r = 40 + s. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - 20*o + 25. Let n be v(5). Suppose m = -t + 343, n*m = -2*m + 3*t + 691. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*h = -60, 3*h + 84 - 62 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 110268 + 110268.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 10. Let n be d(-7). Suppose -25 = -8*c + n*c. Suppose c*h - 27 = 23. What is the least common multiple of h and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbibii. What is prob of sequence bb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfkyrrkrsyrfyfry. Give prob of picking 1 y and 1 f.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2214 and 82.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 138226512\/7 in ascending order.\nAnswer: -1, 0, 138226512\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192342.1 minutes to nanoseconds.\nAnswer: 11540526000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14975*j - 12*j**3 + 14968*j - 29943*j + 19*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80314143 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/130178188 and -13\/30354.\nAnswer: 390534564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 584, 865, 1122, 1343, 1516, 1629, 1670, 1627?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:49 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 4*c**2 + 4. Suppose -5*n + 4 = -4*n. Let k be h(n). Solve 0*s - 2*s + k = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 16) to base 6\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*b + 29*b + 13*b + 20*b + 1 - 41*b**2 to v*b + g + j*b**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 14)\/((-2)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.18 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5*-2*((-4 + sqrt(5))*-5 - (sqrt(720) + 1)) + 2)*5)**2.\nAnswer: -1598000*sqrt(5) + 4496100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5840 divided by -20\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 0 + 16 - 20*s**2 + 11 + 3 - 115*s = 0?\nAnswer: -6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Let b = 3\/11 + a. Sort -0.2, -0.4, b.\nAnswer: -0.4, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*g = 125*g + 28 - 8, 3*k = g + 44 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l - 20. Suppose -20 = -2*o + i, o - 2*o - l*i = -1. Solve 0*g + 3 = 2*g + f, g = -4*f - o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 p, and 1 r when four letters picked without replacement from {n: 3, p: 7, t: 4, r: 2, a: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:16 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 23\/22*c**4 + 1\/33*c**6 + 0*c - 56\/33*c**3 + 12\/11*c**2 - 16\/55*c**5 - 107. Suppose h(z) = 0. Calculate z.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6493 is divided by 249.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-368)\/(-288)*12*21\/28.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-7) - (-6108)\/14)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(5 + 3*sqrt(200)) + (3 + ((sqrt(48)*1)\/sqrt(12))\/sqrt(2))**2 + 4.\nAnswer: -84*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.996 - 0.004. Sort 0.3, d, -1.\nAnswer: d, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 725585.99 and 5.\nAnswer: 725590.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (4 - 1) - ((-5 - 3) + 23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 9.32?\nAnswer: -41.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -3*x**6\/10 + 33*x**5\/20 - 15*x**4\/4 + 9*x**3\/2 - 3*x**2 + 5*x. Suppose i(a) = 0. What is a?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-3 + sqrt(84) - -4*(sqrt(84) - sqrt(84)*-3))\/((sqrt(84)*-5*5)\/sqrt(7)).\nAnswer: -11*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29643391 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 4*g**2 + 7*g - 7. Let k be u(5). Let a = 0.36 + -0.06. Let h be (2\/(-6))\/(10\/(-4)). Put h, k, a in increasing order.\nAnswer: h, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 13 = -5*x + 8*x, -x + 1 = -2*w. Let a be (-2)\/((-3)\/(-24)*1). Sort -4, 5, w, a in decreasing order.\nAnswer: 5, w, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - 0.31. Round i to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7527 - 0.0527. Which is the second biggest value? (a) -4 (b) -1\/5 (c) h (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/117, -0.15, -2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 626195\/36 - 17393. Let c = 731803\/140520 + 3\/5855. Calculate the common denominator of c and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 3. Let l(m) = 3*m + 45. Let s(y) = l(y) - 5*v(y). What is s(16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3792\/10080 + ((-56)\/(-35))\/(-4)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s - 3. Let g be d(-3). Let a(u) = -g*u + 5 + 2*u - 4 - u**2 - u**3. Let h be a(1). What is the biggest value in 3, -0.5, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25384.\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 3*c - 41066 + 3*c**4 + 9*c**3 + 41062 - 2*c**4 in the form w*c + j*c**2 + k*c**4 + g + y*c**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00296356308 to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 191576 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 175.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**3 + 2*g**2 + 2*g - 4. Let k(x) be the second derivative of -7*x**5\/20 - x**4\/4 - x**3\/2 + 3*x**2\/2 + 118*x - 4. Give -2*k(r) - 3*y(r).\nAnswer: -4*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 11. Let j(f) = -56*f**2 - 7*f + 75. Let x(g) = -28*g**2 - 3*g + 37. Let d(l) = p*j(l) + 7*x(l). What is the derivative of d(a) wrt a?\nAnswer: -56*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2. Let c(q) = -2*q - 1042. Give c(n(s)).\nAnswer: 6*s**2 - 1042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (637*t**2 + 548*t**2 - 103*t**2 + 1847*t**2)*(4*t**2 - 5*t**2 + 0*t**2) to the form y*t**2 + n*t**3 + r + d*t**4 + c*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 less than 7.63632108?\nAnswer: -116.36367892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**2*n**3*v - 2*a**2*n**2*v**3 - n**3*v**3 + 3*n**3*v + 5*n**2*v**3 - 3*n**2 wrt n?\nAnswer: 84*a**2*v - 6*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.07 (c) -1\/2 (d) 0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Let g(o) = -712*o + 3. Let m(f) = 533*f - 3. Let n(w) = 3*g(w) + 4*m(w). Let c(p) = -2*p + 1. Let h be c(1). What is h*n(i) + 3*v(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 391 and 575161?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - b**2 + 4*b**2 + (2*b + 2 - 2)*(-5*b - b + 4*b))*(2 - 2 - b**3).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c + 1 = u, 5*u + c - 11 = 0. Let j(n) = 2*n**2 - n**u - n**2 - 2*n**2. Let z(o) = -10*o. What is j(z(g))?\nAnswer: -200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42830?\nAnswer: 2, 5, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 682 = 172. Let r = d - 129. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47984126 + 1.\nAnswer: -47984125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(-31)\/(i\/((i**2\/i)\/i)*i)**16)\/(((i\/(i**(1\/8)\/i))\/(i\/(i\/i**(-6)*i)))\/(i\/(i**(-1\/4)\/i))**26) assuming i is positive.\nAnswer: i**(637\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -13*y**2 - 15*y + 21. Let p(x) = 105*x + 60. Let w(f) = -25*m(f) - 6*p(f). Differentiate w(d) with respect to d.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = -110. Suppose 2*g = u + z, g - 2*u = -0*g + 25. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86321132.\nAnswer: 2, 21580283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -99 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10 - 2*k - 622*k**3 + 445*k**3 + 5*k wrt k?\nAnswer: -1062*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.053344 years to millennia.\nAnswer: 0.004053344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984911?\nAnswer: 17, 71, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 590, 1316, 2728, 5054?\nAnswer: 8522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 11*p - 8. Let c be o(-10). Let t be c\/(2 + 4\/(-3)). Solve 5*b + 0*f + 2*f = 13, 4 = t*b + 5*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 9*m - 6. Let p be w(8). Suppose 2*x - 12 = -v, -2*x - p*v - 48 = -7*x. Calculate the highest common factor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51141964 a multiple of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7053 - 7019.37. Let s = f - 34. Let q = 0.03 - s. Which is the biggest value? (a) 2\/9 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2050\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7007 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**4 + w**2 - w**2)*(-2 + 0 - 1) + (0*w**3 - 3*w**3 + 4*w**3)*(26 - 26 + 3*w) to the form b + f*w + k*w**4 + p*w**3 + c*w**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110602550 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, o: 5, w: 2, g: 2}. What is prob of sequence vw?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -18.1. Which is the nearest to n? (a) -1\/3 (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jll when three letters picked without replacement from {q: 3, l: 2, j: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - 2*v**2 - 3*v + v**3 - v**4 + 14*v + v**2 + 0*v**3 to a*v + c*v**2 + r*v**3 + d*v**4 + i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 5. What are the prime factors of u(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2027728600 to the nearest one million.\nAnswer: -2028000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 1. Let h(u) = u + 38. Let s(p) = 6*c(p) + h(p). Let w be s(-11). Let l = 85 + w. What is the greatest common factor of l and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34354482 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 1. Let b(l) = 3*l**3 + l - 1. Let x be b(1). Let j be f(x). Solve -4*v - j = 5*t + 6, -v = -2*t - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.66 + 38.34. Let r = 30 - t. Let u = 281\/420 - 15\/28. What is the biggest value in -0.4, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 32*a - 34*a. Suppose -5*h + a = -61. Let d be (-538)\/(-4) + 1\/2. Calculate the highest common divisor of d and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -31, -67, -117, -181, -259, -351?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 - 39*j**3 - 8*j**2 - 7*j + 556 wrt j.\nAnswer: 24*j**2 - 234*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196140829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/6 + 3*a**2\/2 + 19*a - 77. Let x(o) = -o**2 - 14*o. Give j(x(h)).\nAnswer: -h**2 - 14*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 1 + -9 + 15 + 1 + 3 + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 2, n: 2, i: 1, k: 1, a: 2}. What is prob of sequence aa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -4\/3*h**3 + 35 + 0*h**2 + 0*h. Let p(f) = -6*f**2. Determine b(p(a)).\nAnswer: -144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347475107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 1. Let j be c(3). Let t = 18 - j. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 56384098.\nAnswer: -56384097.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lroyoozrlrooorooooo. What is prob of picking 1 r, 1 z, and 1 o?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109204 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - m + 5. Let i(p) be the first derivative of 4*p**3\/3 + p**2\/2 - 6*p + 522. Suppose -r = -4*r + x + 11, -x - 5 = 0. Give r*i(a) + 3*h(a).\nAnswer: -a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423548622.\nAnswer: 2, 3, 7, 1120499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1074*f + 2828*f + 2608*f + 1422*f.\nAnswer: 5784*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41319251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.013, 63 in decreasing order.\nAnswer: 63, -0.013, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 3*k**2 + 11*k - 14. Give t(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 166. Let s = y - -146. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h + 5*u = 23, 3*h + 4*u - 14 = 0. Let k(i) = i**3 + 3*i**2 - 1. Let t be k(h). Suppose 0 = -t*c + 2*c + 11. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000075286164 to seven decimal places.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - 2\/7. Let c = 5 + -3. Let p(h) = 0 - h - 2 - c. Give p(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 6. Let v = 16 - 5. Let s(t) = -3*t - 11. Let d(l) = 4*l**2 - 39*l - 16. Let q be d(10). Determine q*s(z) + v*m(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 1, a: 2, w: 2, g: 1, d: 1}. Give prob of picking 1 d and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1*3)*(-15)\/10. Solve -10 = -5*x - l, 0 = x - 3*x - r*l + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 2*h)*(6*h**2 + 12*h**2 - 5*h**2 + (0 - 1 - 1)*(h**2 + h - h)).\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 125 = 11*y, -29*y = -3*d - 32*y - 45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 14*q + 5*z, -q - 52*z + 54*z - 23 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = s - 608, 0 = -0*d + 2*d + s + 246. Let q = 124 + d. Solve 6 = -4*m + q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44603601.200461 - -44603415.2. Let w = u + 186. What is w rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 13) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2 + sqrt(11) + 5 - sqrt(121)\/(sqrt(11) + sqrt(66)\/sqrt(6))) + -2)*2)**2*-4.\nAnswer: -60 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 6*q + 31. Give g(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209871068.\nAnswer: 2, 11, 67, 71191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfoolv. What is prob of sequence of?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*y + 67, 5*y = 6*y - 5. Let l(o) = 10*o + 68. What is the remainder when l(b) is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/56)\/(3\/12). Sort -14, 0.5, u in ascending order.\nAnswer: -14, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21334, 42675, 64016, 85357, 106698, 128039?\nAnswer: 149380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*c + 3*c - 2*c + (43 + 12*c - 43)*(-2 + 3 - 2) + (0 - 5 + 3)*(2 - 2 + c) - 5*c + 0*c + 0*c)*(c - 2*c + 3*c) to l + h*c**2 + u*c and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11002133 + -32?\nAnswer: -11002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 263885901*v**2 + 168123769*v wrt v?\nAnswer: 527771802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6144\/3456)\/(3*3\/162)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -16 + 26 + -35\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36046155?\nAnswer: 3, 5, 2403077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -245, -299, -265, -113, 187?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let r(c) = 9*c - 4. Give 5*n(h) + r(h).\nAnswer: 4*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11458, 11325, 11102, 10789, 10386, 9893, 9310?\nAnswer: 8637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*b = 37 - 18, 3 = 3*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/45*(-51 - 0). Let k be 136\/m - (-4 - -3). Let f = 280 - 199. Calculate the greatest common divisor of f and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 97*h - 595. Determine i(4).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16747.13 decades to millennia.\nAnswer: 167.4713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 326*j**2 - 6*j. Let q(u) = -19*u - 36. Let x(y) = -16*y - 30. Let t(z) = -5*q(z) + 6*x(z). Calculate t(g(d)).\nAnswer: -326*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 - 108.03. Let a = n - 0.626. Round a to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*n + 0*n = 3, -u + 3*n = -17. Let d(h) = h**2 - 4*h - 2. Let f be d(6). Suppose -x + f = -u. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 17*l + 6*l - 5*l - 42.\nAnswer: -16*l + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2 + 27. Suppose -5*t - 3*s - 121 = 66, a*s = -4*t - 147. Let c = t - -62. What is the greatest common factor of c and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p - 9 + 9. Let t(q) = 3*q + 8 - 4*q + 2*q. What is the units digit of t(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 2*d**2 - 5*d - 1. Let o be x(4). Suppose 3*v + 1 = 4. Let h be 2 + (v - (1 + 1)). Solve 0 = 3*k - h - o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77269170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + o. Let x be z(1). Suppose 3058 = -p + 3061. Solve -p*a = -5*a + x 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: 8, w: 4, o: 1, g: 2}. Give prob of picking 1 n and 1 o.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 577889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**5 + 284*g**4 - 5608*g**3 + 27152*g**2 - 50080*g + 32000 = 0.\nAnswer: 2, 25, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141712207 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 9*d - 84 = 0, -2*c + 7306*d = 7310*d + 16 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 273, 485, 895, 1569, 2573?\nAnswer: 3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 4. Let x(z) = 4 - 1 + 13*z + 2 + 2. Let k(h) = -3*x(h) + 5*y(h). Differentiate k(n) with respect to n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 83. What is the remainder when 48 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 3)\/(1\/1). Let i be f\/6*0*1. Let l be 3\/(-9)*i + 1. Sort 3, 2, l in descending order.\nAnswer: 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 4*r - 4, 2*r + 23 = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -18. Let g = -20.99999984 - v. What is g rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 116101857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08000087 - -0.08. What is n rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 + 1602*w - 1532*w + 156 - 315.\nAnswer: 70*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, -5, -126, 0 in increasing order.\nAnswer: -126, -5, -2, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1567 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/(-7) + 4)*3. Solve 3*w + 2*a - 21 = 0, -7 = -c*w + w + a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 78661?\nAnswer: 8810032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0*y**3 + 0*y**2 - 2\/3*y**4 + 0 + 1\/5*y**5 - 8*y. Find x such that u(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-4)*b\/(b*b**(2\/9)))\/(b**2\/b**(-2\/7)) assuming b is positive.\nAnswer: b**(157\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 plus 21438?\nAnswer: 21796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2 - 16*h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -16\/3 (b) -1 (c) 16 (d) 0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -205 * 0.028\nAnswer: -5.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -caa1 - -25?\nAnswer: -ca79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 17 + 5 + 5*j + 12.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26455 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 2*x + 44. Sort -0.7, -5, 0.01, x in ascending order.\nAnswer: -5, x, -0.7, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 80.18 (b) 27 (c) -5 (d) -5.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -n + 1227, -121*n - 1248 = -122*n + 4*q. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmg when three letters picked without replacement from {g: 2, y: 5, m: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {n: 1, v: 1, f: 1, o: 1, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 10438977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53938 + -1.393.\nAnswer: -53939.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 15 = -2*b. Is b\/(50\/6)*5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 95\/25)*635. Suppose z = 48*a - 65. Solve 0*u - 4*g = 3*u + 16, a = -2*u - g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1 - (-9)\/(-6)). Suppose -15 = -b*a - 3*a. Solve a*p - 10 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(425) + (sqrt(425) - (sqrt(425) + 0))*-4) + 5)**2*-3*-1*2.\nAnswer: 1200*sqrt(17) + 40950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.9. Let l = -0.1 + 0.1. Let z = l - -0.1. Which is the closest to g? (a) -5 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 24*a - 200. Let p be t(9). Let u(w) = -29*w - 312. Let r be u(-11). Solve -p*q - r = -87 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + 486818?\nAnswer: 486864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 25*v - 272. Let j be b(18). Find the third derivative of -a**2 + 234*a**5 - 80*a**5 + j - 38 - 63*a**5 wrt a.\nAnswer: 5460*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 1583856?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20799, 41468, 62137, 82806, 103475?\n\"Answer: 20669*u + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (962\/(-12) - -4) + (-3)\/(-18). Let n = r - -69. Let y(p) be the second derivative of p**3\/6 + 9*p**2\/2 - 10*p. Calculate y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose q - j = 5. What is the remainder when (-2)\/(-3) - ((-110)\/6 + -1) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60419522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 95 (b) 6 (c) 5 (d) -5\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1225) - sqrt(49))*5*-3)\/(5*sqrt(7)*1 - (sqrt(7) + (-2*sqrt(35))\/sqrt(5) + sqrt(7))) + 4.\nAnswer: -72*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 * 11.504.\nAnswer: 874.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*u - 2*c - 10 = 0, -5*u - 2*c = -11. Let s(a) = 3*a + 3. Let r(b) = 4*b + 1. Let q be r(1). Let y(i) = -2*i - 2. Calculate q*y(o) + u*s(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/5*j - 1\/10*j**2 + 0.\nAnswer: -j*(j - 26)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -13*u - 10 + 44*u**3 - 45*u**3 - 2 + 2 - 12*u**2. List the prime factors of o(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3719\/25133 - 1\/613. Suppose 27*z - 39*z = 12. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8042364?\nAnswer: 2, 3, 11, 23, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 282.066952.\nAnswer: 279.066952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 5 - 7 - 2*x**2 + (0 - 5 + 3)*(3*x**2 - 3 + 3) - x**2 + 6*x**2 - 4*x**2 to the form u*x + w + p*x**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1.5. Let m = -1.5 + 3. Let b = l - m. What is the closest to b in -2\/15, 1\/4, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 - 115. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 14383?\nAnswer: 14383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24843117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 8775.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 26. Let n be t(0). Let h = 31 - n. Solve -31 = 3*m - h*j, 5*m = -3*j + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -82*b**3 - b**2 + 3*b + 98. What are the prime factors of o(-5)?\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 1, j: 1, m: 1, q: 1, h: 2}. What is prob of sequence toq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1571724 and -97\/37422?\nAnswer: 1571724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 4. Calculate the remainder when 61318\/1302 + (-4)\/42 is divided by w(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 12. Let g be ((-4)\/x)\/((-3)\/(-7)). Let t = 8.35 + -8.41. Put 5, t, g in decreasing order.\nAnswer: 5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.4 times 89356\nAnswer: 1733506.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q + 65. Determine a(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 6*k - 4. Calculate i(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -5) + 2\/1. Let n be 1\/x + (3 - 3). Which is the second smallest value? (a) n (b) -0.02 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3782)\/(-155))\/61 - (68\/(-5) - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -200?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*g**5 + 117*g wrt g?\nAnswer: -1820*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9801584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/1049 - 1041\/4196. What is the biggest value in -2\/13, -2\/9, 12, y?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**2 + 4*p - 2. Give l(-4).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 2. Let j(c) = -c - 3. Let m(v) = -3*j(v) - 5*t(v). Determine m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 342206 in ascending order.\nAnswer: -4, 1, 342206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j)*(2463682 + 13492*j - 2463682).\nAnswer: -26984*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 21, 4440.\nAnswer: -43, 21, 4440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/160460320 and 5\/10134336.\nAnswer: 962761920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7763 - 7252 = -15*u. List the prime factors of u.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 42*w + 33 - 45)*(0*w**2 + w**2 - 3*w**2).\nAnswer: -84*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 31*b - 40869. Let t(i) = -57*i**2. What is q(t(d))?\nAnswer: -1767*d**2 - 40869","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 989 + -458. List the prime factors of i.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/11, -2, 4, -208, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7493\/8372 + -22\/299. Find the common denominator of j and (-4332)\/(-10640) + 16\/(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83702580 divided by 58370\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**5\/20 + t**4\/3 + 2*t**3\/3 - 5*t**2\/2 - t. Calculate the remainder when (-137 + 8)*(-3)\/9 is divided by j(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 292911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in micrograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339598, 2716326, 9167296, 21729628, 42440442?\nAnswer: 73336858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 665588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0150712377 to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/23, 4, 21, 2\/5, -0.3, -2\/31 in increasing order.\nAnswer: -0.3, -6\/23, -2\/31, 2\/5, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3 + 13*o**2\/2 + 8*o. Differentiate d(b) with respect to b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 523 = -4*y + 3463, -4*y = -2*k - 1468. Let x be (-4)\/6 - k\/690. Solve -6\/5 - x*o**2 - 8\/5*o = 0 for o.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 1089840?\nAnswer: 46863120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 0*d + 0*d + (-2*d + d + 2*d)*(3 + 2 - 4))*(3 + 2 + 0)*(d**3 + 1 - 1) to o*d**2 + u*d**3 + s*d**4 + w*d + z and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*c + 47 = 0, 2*d - 23 = 2*c + c. Suppose 4*v - 164 = 4*i, 0 = 3*v + 4*i - 0 - 116. Calculate the highest common divisor of v and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 8:42 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-63)\/70*(-9)\/27*25.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4460, 2\/21, 1\/3, -12, -0.19 in decreasing order.\nAnswer: 1\/3, 2\/21, -0.19, -12, -4460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (9 + -9 + 7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 440.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 4*b - 0*b. Is 50\/20*b\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3351*l - 26888. Calculate f(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 23. Suppose -155 = -2*c - n, g*n + 121 = 2*c - 22. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146047 divided by -1.\nAnswer: -146047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (470*z**2 - 219 - z**3 - 468*z**2 + 22)*(-z**2 + 2*z**2 - 3*z**2).\nAnswer: 2*z**5 - 4*z**4 + 394*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:01 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/632 - 4087\/4424. Let r = -1495\/42 - h. Is r smaller than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10 - 5 + 0 + 3*m - 4*m**2 + 0*m**2 + m**3 - 3. What is u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1968*k - 13773. Determine l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/215, 1596, 2, -2 in increasing order.\nAnswer: -2, -19\/215, 2, 1596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.5 - 7. Let w = r + 3.5. Sort w, -5, 3\/4 in descending order.\nAnswer: w, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1570)\/(-65) + (112\/(-52) - -2). Suppose 2*m + p = 8*m. Solve -3*t - 11 = -2*l + 7*l, l - 8 = -m*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 4\/7 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6311 - -6308. Put t, 15, 5 in descending order.\nAnswer: 15, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/20 - g**4\/3 + g**3\/3 + 3*g**2 - 34*g. Let n(m) = m**3 + 3*m**2 - m - 5. What is -3*a(o) - 4*n(o)?\nAnswer: -o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 7) to base 9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.285 - -0.085. Which is the third biggest value? (a) v (b) 1.2 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/6300 and 103\/490.\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18169 - 2034943\/112. Find the common denominator of 99\/8 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 6 = 2*j - i, 18 = 4*j - 5*i. Suppose -d = -5*r + 6, 33 = 4*d - 0*d - r. Suppose -d*t = -7*t + 10. Put t, -3, j in decreasing order.\nAnswer: j, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(14*d - 42 + 42).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/72 and 119\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k**2 - 120*k - 450. Let f = 324 + -321. Let n(u) = -7*u**2 - 60*u - 225. Let i(q) = f*w(q) - 5*n(q). Factor i(b).\nAnswer: 5*(b - 15)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(720) + sqrt(720) + 1) + -2*(sqrt(720) + 1 + sqrt(720)).\nAnswer: -24*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 30*a - 602. Determine j(17).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18.1 times -0.6574\nAnswer: 11.89894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760570 is divided by 1253?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260458 a multiple of 746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 141 = -39. Solve 8*t - 3*t - c = -4*j, 0 = 4*t - 4*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 988 - 985. Let r = 1.4 + -0.4. What is the closest to r in 3\/4, 0.01, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1113 divided by 31.\nAnswer: -1113\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 - 76. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:56 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/64*-4*4\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4715 + -4701. What is the remainder when 445 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 29 = -2*b, -3*b + 26 = -3*i - i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(6\/(-3))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262 - 259. Let c = 3 - 6. Sort -5, c, a in increasing order.\nAnswer: -5, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 8*h - h**2 + 0 + 25*h - 2 to the form m + b*h**2 + j*h + y*h**3 + t*h**4 and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3 + 37849*a - 262820 wrt a.\nAnswer: -3*a**2 + 37849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 0.9. Let t(m) = -m**3 + 7*m**2 - 4*m - 10. Suppose -3*u = -5*u + 12. Let f be t(u). What is the smallest value in 0.2, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 4*c**2 - 4*c - 3. Suppose -900 = -13*t - 2*t. Suppose -2*p - 13*p + t = 0. Let s(y) = -y**3 - 3*y**2 - 3*y - 2. Calculate p*s(b) - 3*j(b).\nAnswer: -b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 31*g + 9. Let q be i(1). Suppose -32*c - q = -36*c. What is the smallest common multiple of 34 and c?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16216920 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 13*h**2 + 9*h + 29. Let t(s) = s**3 - 14*s**2 - 8*s - 22. What is -3*q(n) - 4*t(n)?\nAnswer: -n**3 + 17*n**2 + 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 41, 139, 327, 635, 1093, 1731?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -5\/4 (c) -0.1 (d) -2 (e) 146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 299, 392, 485?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-832)\/(-65) - -4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t + 300000. What is t rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from epeeope?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = -2*s + 3, 19 = 3*v - 2*s. Let p(c) = -c**2 + 6*c. What is p(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8755.698 millilitres to litres.\nAnswer: 8.755698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -219133 less than or equal to -219133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -5*(sqrt(13) + -1) + -5*1*sqrt(13) + (6*(sqrt(1573) + -1 + -5))**2).\nAnswer: -115868 + 9524*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -14077*i**2 + 8906. Let p(m) = -21114*m**2 + 13366. Let w(b) = -5*p(b) + 7*q(b). What is the derivative of w(h) wrt h?\nAnswer: 14062*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(760\/90)*(-16)\/(-6)*2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/(-924))\/((-24)\/(-28))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*n**2 - 1937*i**2 - 8*i*n**2 + 29*i*n - 1185*n**2 wrt n?\nAnswer: 2*i**2 - 16*i - 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-150 + 37 - 85)*(3*o - 4*o + 0*o) in the form w*o + t and give w.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21224 (base 6) to base 11\nAnswer: -21a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112407369, -112407368, -112407367, -112407366, -112407365?\nAnswer: -112407364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4307.47929 to the nearest integer.\nAnswer: 4307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.2. Let s(k) = -k**2 - 9*k - 17. Let d be s(-4). Suppose -3*m + d*b = 3, -5*b + 8 - 3 = m. What is the third biggest value in m, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33134*c*f**2 - 1386*c*f*w - c*w + 2*f**2*w + w wrt f.\nAnswer: -66268*c + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (154\/(-8))\/7 + 3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrffferfr. What is prob of picking 2 e, 1 f, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55\/(-35) + 2)\/((-1)\/(-7)). Calculate the common denominator of 2 + (9\/8)\/h and -49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.00107?\nAnswer: -0.000535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 1360 + 524. Suppose -c = -p - 3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 71*a**2 + 5*a**3 - 3*a - 71*a**2 to the form t + l*a + q*a**2 + c*a**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 13. Suppose w*p = 3*p - 12. Suppose -j + 2*v + p = 0, j - 8 = -3*v + v. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*y + 225 = 2*y, 0 = 5*t + 4*y - 225. Let n(a) = -2*a**2 + 5*a + 3. Let x be n(-3). Let j = t + x. Solve 7*b = 2*b + j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3396 and -0.003.\nAnswer: -10.188","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/18)\/(0 + -9 + 13 - 5).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - -4.96. Let n = -311 + 165. Let g = -147 - n. Which is the closest to -0.1? (a) g (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2 - 3*a**2 + 2 + 0. Let u(j) = 3*j**2. Give u(l(k)).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 388.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6755, -6757, -6759, -6761, -6763?\n\"Answer: -2*l - 6753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004453287 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -613*h + 1615. What is the hundreds digit of t(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 + 64*w + 1024 = 0 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + l + 1. Let q(m) = -3 - 6*m**2 + 5*m**2 - 5*m**2 + 0*m**2 - 3*m. Suppose 15 - 1 = 7*t. Give t*q(v) + 7*h(v).\nAnswer: 2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.78 + 11. Let o = 2.22 - d. Suppose -5*p - 7*l + 8*l + 1 = 0, 5*l = -30. What is the smallest value in o, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*w + 70*w = 3083 + 1757. Solve w + 23 = -45*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) + 2 + -2)) + -1 + sqrt(1700) + 1)**2*-2.\nAnswer: -3400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13544*f - 13541*f - 42 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*h. Let u = 0 + h. What is the first derivative of 11 + 8*q**4 + u*q**4 + q**4 - 7*q**4 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 1119, 3921, 9371, 18351?\n\"Answer: 147*y**3 + y**2 + 4*y - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.9113 centuries in years?\nAnswer: 56491.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3 + 265*a**2 + 264*a = 0. What is a?\nAnswer: -264, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + b + 1881 = 0, p + 4*p + 2*b - 2335 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r**3 - 2*r + 3*r)*(-1 - 5 + 0).\nAnswer: 12*r**3 - 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966752 is divided by 602.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 11*p + 247, 2*s + 22*p - 24*p - 50 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/3 + 2388*y**3 + 4772*y**2 + 7156*y\/3.\nAnswer: 4*y*(y + 1)**2*(y + 1789)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10213111 (base 4) to base 5\nAnswer: 1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/5 + 10696*m\/5 - 1419666 = 0.\nAnswer: -5945, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 23 - 26 = -73 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + 17*v**2\/5 + 31*v\/5 + 3.\nAnswer: (v + 1)**2*(v + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - 12516458246462?\nAnswer: -12516458246461.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 73 = -4*n, -690*p + 735*p + 2*n + 201 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 3\/5, -14\/157, 1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g - 20. Let r be 4*-5*27\/g. What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Suppose s - 2 = c. Solve 5*i = 3*i - s*a + 5, 4*a - 3 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2. Let x(b) = b + 7. Suppose -4 - 32 = 4*u. Let j be x(u). What is q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 834*i**5\/5 - 2159*i**2\/2 + i + 3472. Find the second derivative of r(b) wrt b.\nAnswer: 10008*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*d + 100. Suppose 4*q = -c - 0*q + d, -q + 305 = 5*c. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*j - 4, -4*y + 2 + 6 = -5*j. Suppose j = 2*v + 8. What is the units digit of (66\/(-12) - -4)\/(2\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285 + 236 - (-3 + (1 - -16)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - q**2. Let m(t) = -t**3 - 3*t**2 - 2*t - 4. Let l be m(-3). Let a(c) = -2*c**l - c - c**2 + 2*c**2. What is -a(w) + u(w)?\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2222627744.\nAnswer: 2, 29, 47, 131, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + r = -3*a + 642, -3*a + 5*r = -402. Let g = a + -77. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = a - 7, 3*a - 4*s = 2*a + 9. Suppose 3*l - 13 = -y + l, 0 = 3*y - a*l - 6. Let z = y + -5. Solve 0 = -2*i + z + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b)\/(b**5*b*b)*((b*b*b**12*b)\/b)**(-7) assuming b is positive.\nAnswer: b**(-518\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let l be (-3)\/(c - -3)*-4. Suppose -d - 2*k = -2*d - 472, -5*k = l*d + 1875. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11634 is divided by 59.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2444699 + -4538.\nAnswer: 2440161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and -348202.\nAnswer: -348185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.2. Let n = -0.29 - -0.27. Let g = n - 0.28. Which is the nearest to -3? (a) g (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 62\/3. Which is the second biggest value? (a) k (b) 0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 710526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3, -0.7, -2\/17, 1 in increasing order.\nAnswer: -3, -0.7, -0.3, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 879418706.\nAnswer: 1758837412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 2 - 12*w - 1 + 3.\nAnswer: -w**3 - 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67361.35249922 + -67381.3525. Let x = s - -20. What is x rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(6\/17)*b**(-2)*b\/((b*b\/(b\/((b\/(b\/(b*b\/(b*b**(1\/2)))))\/b)))\/b)*b*b)**(-29\/2) assuming b is positive.\nAnswer: b**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 1) + (72 - 82) + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.0312288 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22947, -45775, -68603?\n\"Answer: -22828*l - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 28.69. Let m = g - 18.69. Let a = -19.0000039 - m. Round a to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154*6035\/1207*(-6)\/(-35)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 426\/(-1491)*1\/(-3*1\/63).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 3*s**3 + 6*s**3 + (-4*s**2 + 35*s**2 + 14*s**2)*(-s + s - 2*s - 1) + 0*s**3 + 0*s**3 + s**3.\nAnswer: -85*s**3 - 45*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-20\/3))\/(r*r\/r**(38\/5))*(r\/r**(-1))**(19\/3))**(-12) assuming r is positive.\nAnswer: r**(-756\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -42. Suppose t*g - 5 = 44. Suppose 4*r + 472 = 4*q, -5*r = 3*q + g - 385. Is q a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 6. What are the prime factors of z(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 + 40*r - 185. Calculate g(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + s - 375 = 0, s - 126 - 175 = -4*o. What is the remainder when o is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23120 is divided by 591?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1\/6, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*y, 8*p - 3*p = -4*y + 24. Let b(w) = 3*w**2 + 2*w**3 - w**3 + w - p*w**2. Is b(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103076 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 3, 4, 105, 0, -33 in ascending order.\nAnswer: -33, 0, 3, 4, 60, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1393 + 1939. List the prime factors of l.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 0*g + 12 = 3*g, 3*g + 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 4*s**2 + 4*s**2)*(-3 - s + 3)*(-5 + 3 + 1) in the form c*s**2 + o*s**3 + g*s + b and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22277 + 22295. Which is the nearest to 0.1? (a) -0.2 (b) z (c) 2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 0. Let p = a - 4. What is the derivative of -4 + 3 + 0*d**2 - 3*d**2 + 4*d**p wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u**3 + u**2 + 6*u. Let k(b) be the second derivative of -9*b**5\/20 - b**4\/12 - 7*b**3\/6 + 717*b + 2. Determine 4*c(l) + 3*k(l).\nAnswer: 5*l**3 + l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4534184 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 5693.\nAnswer: 5693.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osyo when four letters picked without replacement from oyyysyyoosoooyyyyoo.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 80971888*q**2. Let j(s) = -2*s**2. Give d(j(b)).\nAnswer: 323887552*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 267410095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r*r**(2\/5))\/r))\/(r*r**(2\/19))*(r*r\/(r\/(((r*r**(-6\/13))\/r)\/r*r*r)))\/(r*r**(4\/7)*r))**31 assuming r is positive.\nAnswer: r**(-680233\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 17*o**2 + o - o.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/5 (b) -2\/15 (c) 0.1 (d) -1\/8 (e) 16106 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-24)\/873)*(-7 - -5). Let r = c + 691. Suppose 6*x - r = 434. What are the prime factors of x?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18620\/(-196)*((-615)\/(-75) + 14\/(-2))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 411 - -135?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*l + 4 = 6*l, 2*r - 5 = -5*l. What is the first derivative of -3 - c**4 + 3*c**4 + 0 + r wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 9}. Give prob of picking 2 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 16 - 49 = 15 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvrvr. What is prob of sequence vr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -79, -111, -141, -169, -195?\n\"Answer: n**2 - 35*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409005479 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5341 - 11818 + 52178)*(2*l + l - l)*(-2*l + 4*l - 3*l) to r + n*l**2 + y*l and give n.\nAnswer: -91402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021750515 to 4 dps.\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 2917550735.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 - 104*j**2 - 1060*j - 952 = 0 for j.\nAnswer: -7, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*((2*x + 0*x - 36*x)*(3*x - 3*x - x) - x**2 - 3*x**2 + 5*x**2).\nAnswer: 105*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - i**3 - i**3)*(-3*i - 3*i**2 - 3*i**2 + 4*i).\nAnswer: 18*i**5 - 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from poytptkoktyybt.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a - 315. Let t be g(23). Put -5, t, 10 in ascending order.\nAnswer: -5, 10, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0 + j**3 + 0*j - 11\/120*j**5 + 1\/24*j**4 + 2*j**2. Let k(z) be the first derivative of c(z). What is k(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*j - 0*j - 103, -2*j - 42 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.09 - 0.43. What is a rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hboodyk. What is prob of sequence ood?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21765 and 227807.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.5. Let k be 3*2\/(-10) + 205\/175. What is the third biggest value in -2\/15, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x - 10*x + 270 = -23*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 6)*(2*h - 2*h - h**4).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 53826 (b) 5 (c) -2728\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1433 + (4 + -1)*1. What is f rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276195 + -696195. What is d rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -908*c*w**3 - 168*c*w**2 + 8772*c*w - 1346*w**3 - 2*w**2 - 3*w wrt w.\nAnswer: -5448*c - 8076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91962794291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z + 4*z - 8*z + 14*z. Let r(o) = 191*o. Determine r(s(m)).\nAnswer: 382*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*k + 23, -k + 3*t - 3 - 4 = 0. Suppose 6*v = k*v + 36. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 3. Let a be m(-5). Let p(v) = -7*v**2 - 1 + 1 + 4*v**a. Let n(u) = -8*u**2 + 14*u**2 - 9*u**2. What is n(p(s))?\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71369.\nAnswer: 23, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 115.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (75\/10)\/((-2885)\/(-3462)). Suppose -5*u = 5*c, 4*u - 45 + 18 = 5*c. Solve x*m - u = 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-10))\/(1\/(-5)). Let u = -6 - t. Solve -4*s - 24 = 2*p, 3*s + 16 = p - u*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/(-32))\/((-14)\/2).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x + 3. Let s(c) be the second derivative of -c**4\/12 + c**3\/6 + c**2\/2 - 19*c. Give -4*s(z) + w(z).\nAnswer: 4*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 16 + 12 = -a, 4*k = a + 5. Solve 2*l - 4*w = -10, 0 = 3*l + 5*w - 39 - k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**2 + 2. Let t be c(-2). Let v = t - 25. Suppose -u = 2*w - 1, w + 0 = 5*u - v. Solve w*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 2 (c) 14 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5848 + 6034. What is the remainder when u is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1744*a**3 + 55*a - 663825?\nAnswer: 5232*a**2 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2)**2 - (sqrt(5) + -1 + -1).\nAnswer: -sqrt(5) + 2002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/9 - 4682*o**2\/9 - 293504*o\/9 - 518144 = 0.\nAnswer: -2277, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 + 2*v + 2. Let w be p(0). Suppose 11*g - 9*g = 4*s + w, 5*g + 3*s = -21. Let u(n) = -3*n - 2*n**2 - 4*n + n**2 - 1. Give u(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -10, -0.47, -1?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6816 divided by 6?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 73, 3, -4, -1, 1.\nAnswer: -14, -4, -1, 1, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/15520044 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2858719.5 months in centuries?\nAnswer: 2382.26625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 825\/(-450) - (2 + -4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 20*j**2 + 11*j**2 + 15*j**2 to the form n + x*j**2 + r*j and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 11. Let t(v) = 7*v - 49. Let b be t(7). Let x(q) = b*q + 5*q - 4*q + 2. Let k(l) = 2*l + 2. Give j*k(c) - 4*x(c).\nAnswer: 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*w + 7, 0 = z - w + 3 - 5. Let v(m) = -15*m**2 + 1. What is v(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:49 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5155 - 5083. What is the smallest value in 0.5, u, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12))\/(924\/(-9856)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.43 - -0.53. Let v = -14.7 - h. What is the third biggest value in -4, 0.1, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68724*k**4 - 80 - 68732*k**4 - 113 + 2*k - 2*k + 2*k**4 + (2*k**3 + k**2 - k**2)*(k + 0*k - 2*k) + k**4 + 0*k**4 - 2*k**4.\nAnswer: -9*k**4 - 193","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -8 + 2, 4 = -c - 4*z. Let u(q) = -17*q - 22*q + c*q - 2*q. Let i(r) = 3*r**2. What is i(u(p))?\nAnswer: 4107*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n + 12*n**2 + n**3 - 5*n**2 + 8 - 2*n**3 + 2*n**3. Let f be (4\/6*-2)\/((-1)\/(-3)). Is 18 a factor of j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llyv when four letters picked without replacement from {l: 2, g: 3, y: 5, v: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s - 7*s**2 + 7*s**5 - 20*s**2 - 6*s**3 - s**2 - 8*s**3 - 6*s**5 + s**4 + 32.\nAnswer: (s - 4)*(s - 1)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40879374 and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 14 = 3*b. Let i = -65\/3 + 22. Put i, b, -0.3 in increasing order.\nAnswer: b, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -934, -1616, -2050, -2230, -2150, -1804, -1186, -290?\n\"Answer: d**3 + 118*d**2 - 1043*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 13432225?\nAnswer: 13432233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 201 - -104352?\nAnswer: 104553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**4 + r**3 - r. Let t(m) = -22*m**4 - m**3 + 16*m**4 - 4*m**3 + 4*m. Let b(n) = -5*f(n) - t(n). What is the second derivative of b(u) wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-8)*(0 + 0). Suppose z = -s - s. Let d be s*((-15)\/(-6) + -2). What is the third smallest value in d, -4\/7, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8007463 is divided by 8007400?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530650 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -4 - (-2 - -1). Let o(s) = 2*s**2 - 18*s - 4. Let l be o(10). Solve 5*j = 3*j - 4*m - l, k*m = 3*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -59*t**3 + t**2 - 4*t - 4. Determine a(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by -1?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -58 + (-8 - (-33 + 63 + -38)) - 8\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:33 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -3\/2, -3\/7, 74?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11657416*j**3 - 573276?\nAnswer: -34972248*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 + 6*q**2.\nAnswer: -2*q**2*(q - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 5. Suppose 2*k + 284 = a*k. Calculate the remainder when k is divided by 592\/44 + 4 - 30\/(-55).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*t + 17 - 10*t + 35*t + 35.\nAnswer: 107*t + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -12901000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21556069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q**4 - 25*q**5 + 145*q**4 - 1716*q**2 - 410*q**3 + 84*q**4 + 1816*q**2 + 120*q = 0. Calculate q.\nAnswer: -2\/5, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.41 (b) 1 (c) -0.4 (d) -262267\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -61*l + 325. List the prime factors of c(-12).\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.042782 and -0.6.\nAnswer: -0.642782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 2*d + 3. Let o be i(-3). Suppose -o*f = -2*f - 8. Let s = f + 1. Solve -11 = 4*v - s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 371241 and 494988.\nAnswer: 1484964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847790.\nAnswer: 2, 5, 17, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 191 in ascending order.\nAnswer: -6, -5, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-144) - (-1 - (-15)\/12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6375116 to the power of 1\/2, to the nearest integer?\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 558215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/100 in -2\/5, 1.15, -2\/75, 5?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -14 - (0 - (-1 + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.190329 millilitres in litres?\nAnswer: 0.007190329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-11 - -9)\/(4\/(-142))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 426, 637, 848, 1059?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11815 times -0.2?\nAnswer: -2363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 359.57+1\nAnswer: 360.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7 = 3, 5*q - 4*l = 31. Suppose q*o - 1 = 17. Calculate the greatest common factor of 42 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65980000 to the nearest one million.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/15360 and -87\/544?\nAnswer: 261120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 456324888 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1 - (-12)\/8). Suppose -4*t + 3*k = -35, j*t + k - 59 = -4*k. Suppose t*x + 35886 = 17*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 19*h**2 - 143*h - 189. What is i(7)?\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 minus 0.282?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 + 3*g + 24. Let k be n(-7). Let w(q) be the second derivative of -4*q + 3\/2*q**2 + 5\/6*q**k + 0. Differentiate w(b) with respect to b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o - 1)*(-2*o**4 + o - o).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 - -2422?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:18 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.025064 in 1, -11, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhjhhojjhhhjj. Give prob of sequence jj.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o - 604 = 13211. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose 0 = -4*r + 10 - b. Solve -3*w = -r*f, w + 0*w = -f + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.315387939 rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010220 - -10?\nAnswer: -12010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -27*r + 75. Let i(q) = 188*q - 524. Let a(n) = 20*c(n) + 3*i(n). Let h be a(12). What is the greatest common factor of 27 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/43, 12\/13, 4\/7, 5, -2 in descending order.\nAnswer: 7, 5, 12\/13, 4\/7, 2\/43, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.2 - 5.3. Let p = s + -6. Let g = -2473.3 + 2473. What is the closest to p in g, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 39529294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let r = 762 + -758.69. Let w = r - 1.31. What is the closest to -1 in s, -3\/4, w?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**1*y)**(-2\/67)*(y\/(y\/y**7*y))\/y*y*y*y\/(y**(2\/17)*y)*y assuming y is positive.\nAnswer: y**(8842\/1139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + 4 - (0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 6 + 31 = 4*z, 3*g + 4 = z. Suppose 6*k + o = 3*k + 100, 0 = -5*k - 3*o + 164. What is the remainder when k is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -362, 271, 1986, 5323, 10822?\n\"Answer: 90*i**3 + i**2 - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -37, -119, -273, -523?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 694?\nAnswer: 4858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l. Suppose l = -4*c - 7 + 15. Solve c*s = -1 + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58317, -116571, -174815, -233049, -291273?\n\"Answer: 5*m**2 - 58269*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 + -9126868684\nAnswer: -9126868684.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 13 = 7*c + 5*x, -2*x = -2*c + 20. Let a = -47 - -58. What is the least common multiple of c and a?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*p + 234, 449 + 97 = 4*p + 3*y. Calculate the highest common factor of p and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4 and -7\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 x when four letters picked without replacement from battxxbbxxxaa.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7789166.\nAnswer: 2, 7, 11, 37, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (0 + 934)*(58\/(-4) - -15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -24*v**2 - 235*v + 14. Let j(r) = 13*r**2 + 140*r - 7. Let g(h) = -5*j(h) - 3*p(h). Let l(m) = 3*m**2 + 2*m - 3. Calculate -4*g(d) + 9*l(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489439?\nAnswer: 489439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -27, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1527132 * 0.3.\nAnswer: -458139.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448)*2 - 4*(sqrt(17) + 2)) + -3)**2.\nAnswer: -440*sqrt(17) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*f*j**3 + f*j**2 + 2*f*j - 2979*f - 1535*j**3 wrt j?\nAnswer: 204*f - 9210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2268 and 29736.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, -31, -22, 0, 49?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + -63 - (7 + -9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 548200 to the nearest ten thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2929022*g**4 + 21201*g + 18 wrt g.\nAnswer: 35148264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*c + 15 = -232*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76065 and 60852?\nAnswer: 304260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5850 + 5962. Solve 5*v + j = 92 - a, 0 = 4*v + 2*j + 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*l**2 + 10*l - 17*l + 7*l - 50*l**2 - 55*l**2 + 147*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/3)\/2 - 0. What is the tens digit of 14 - (-1)\/o - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-215)\/(-7) + (-10)\/(-35). Suppose -10*m + 27 = -r. Sort 4, m, 1 in decreasing order.\nAnswer: m, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 7*z**2 + 5*z + 11. Let g(f) = 151*f + 199. Let q be g(-7). Let t be (-1)\/((-22)\/134) - (-78)\/q. Give m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28870 (base 10) to base 16\nAnswer: -70c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 5855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:37 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 at most -3149\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6 + -14 + 3 - -35 - -13\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 0*v + v)*(-18*v + 3*v + v + (0 - v + 0)*(2 + 2 + 0) - v + v + v) - 2 + v**2 + 2.\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 233883, 233885, 233889, 233895, 233903?\n\"Answer: n**2 - n + 233883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 22. Suppose 0*v - 4*v = -y. Calculate the remainder when 1\/(5\/140*2) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 10*d + 4. Let i be s(9). What is the highest common divisor of 25 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -194*v - 3. Let g(b) = 98*b + 2. Calculate -3*c(f) - 5*g(f).\nAnswer: 92*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37\/45467 or -1?\nAnswer: 37\/45467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -6276942344478?\nAnswer: 6276942344489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 8 = 4*n, 2*n - 147923*u = -147919*u + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - u**2 - 6*u - 7. Let t be b(-3). Let q = t - 53. Suppose 12*l = 8*l + 4. Sort 0, q, l in descending order.\nAnswer: q, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391919248 to the power of 1\/4, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -5*r - k + 165, -3*r = k - 99. Suppose x + 3*i + r = -44, -2*x - 151 = 5*i. Which is smaller: x or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18568, 74685, 168206, 299137, 467484, 673253, 916450?\n\"Answer: p**3 + 18696*p**2 + 22*p - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -402, -151, 128, 429, 746?\n\"Answer: -m**3 + 20*m**2 + 198*m - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/3 + 114488*s**3\/9 - 4496152*s**2\/9 + 42652480*s\/9 + 30467200\/9 = 0.\nAnswer: -2\/3, 20, 19042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-861\nAnswer: 86.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -0*x. Let b = -316 - -318. Suppose 0 = -j - 5*i + 30, 0 = -b*j + 3*i + x*i + 30. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 7*v - 4. What is the least common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -38\/5*b**3 + 44\/5*b**2 - 18\/5*b**5 + 16\/5 + 56\/5*b - 12*b**4 = 0?\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648430630 to the nearest integer?\nAnswer: 25464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (14 + -16 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 3*g + 5. Let l be i(-4). Let o(n) = 2*n + 10. Let u = 1 - 5. Let p be o(u). Solve r = 2*j + 4*r - l, -4 = -2*j - p*r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111, -113, -115, -117?\n\"Answer: -2*b - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 49?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Let s(r) = 0 + 1 + o*r - r + 0. What is s(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - u - 2 = 0, -5*m + 0*u + 11 = 2*u. Let j be -1 - (-9)\/15*m. Let r = 2.05 - 0.05. Put -0.5, r, j in decreasing order.\nAnswer: r, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16 = -5*z, -2 + 20 = 5*z - 3*p. Let n(y) = 7*y**3 - z*y**2 + y + 4*y**2 - 31 + 31. Determine n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29110000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 5*c**9\/504 + 9*c**8\/112 + 7*c**5\/60 + 5*c**3\/2 + 58*c**2 - 4. Find the third derivative of k(v) wrt v.\nAnswer: 600*v**3 + 1620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 29*k**2 - 27*k. Let s be f(-11). Let j = s + 3074. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwppppdl. Give prob of sequence pwlq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1681\nAnswer: 168.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -40075 less than -39540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-11 + -12 + 10 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16719820?\nAnswer: 2, 5, 13, 107, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(5 - 3 + 1)*(-9*s**5 + 22*s - 22*s).\nAnswer: -54*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*s**4 + 63434*s**3 + 2*s - 9961326 wrt s.\nAnswer: -16*s**3 + 190302*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 - 12*x + 10. Let r be d(1). Solve -2*g = 5*o - 8, -4*g - 5 = r*o - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540848278 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413 = 14*c - 357 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7319 - -7324. Suppose -c + 0*c - 11 = 0. Put 3, c, y, -2 in increasing order.\nAnswer: c, -2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/w**(2\/25)*w)\/(w*w*(w\/w**28)\/w))\/(w**(-19\/4)*(w**(13\/5)\/w)\/w) assuming w is positive.\nAnswer: w**(3407\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9756 = -24*v + 29*v, 3*v - 5874 = -5*g. Is 63 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223 + -235. Let g be 120\/28 - 2\/7. Which is the biggest value? (a) g (b) t (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c - 30*c + 42. What is the greatest common factor of 97 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-40)*(-41580)\/(-12285)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-2))\/((-3)\/(-24)*-4). Suppose -4*s - 5*q = -5*s + b, 141 = 4*s - q. Suppose -s*a + 32*a = -12. Solve 0 = a*k + 3*o - 3, 4*k - 7 + 27 = 4*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158259380*n**3\/9 - 9685361536*n**2\/3 + 6886204*n - 3672 = 0. What is n?\nAnswer: -918\/5, 3\/2813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17898670 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 14*w + 140 - 2 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:09 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*u**3 - 5*u**3 - 11*u**3 + 3*u - 2*u**4 in the form r*u**3 + n*u**4 + y*u + l*u**2 + f and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 105. Sort -4, k, 0.3.\nAnswer: -4, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 94, 201, 392, 697, 1146?\n\"Answer: 5*o**3 - 3*o**2 + 27*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -607 (c) -0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 7 - 1) + 8 + (-21 - -4 - 40).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048*t + 36399 = -46971 + 19442 for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + 1)*(-3)\/(-4). Let g = 27 - x. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**4 - 63*w**3 - 15*w**2 + 69*w. Let y(i) = -i**4 - 9*i**3 - 2*i**2 + 10*i. Let q(f) = 2*j(f) - 15*y(f). Find g, given that q(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + 56*z + 79. Let r be o(-15). Let w(p) = p**3 + 10*p**2 + p + 11. Let l be w(-10). Sort l, r, 3.\nAnswer: r, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 987.5000007143 + -987.5. Round j to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120553\/8460 - 1\/4230. What is the common denominator of r and -53\/564?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 10, -2*k - 3*k = 2*p - 16. Factor r + 3*r + r - 4*r + 2*r**2 + r**p.\nAnswer: r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 23*g**2. Let p(x) = x - 4. Let v(t) = 3*t - 14. Let j(d) = 21*p(d) - 6*v(d). What is k(j(h))?\nAnswer: 207*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/92235 and 1\/8385.\nAnswer: 92235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - 5670660115.\nAnswer: -5670660154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*76\/6. Suppose -4*i = -y - 41. Suppose -u + 18 = r + 5, r + 47 = 5*u. Calculate the highest common factor of i and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 - 7.56593071633.\nAnswer: -7.84593071633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/13, 7\/4, -0.5, -1\/15, -153?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/18 and (-2)\/7 + (-1532)\/616.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose c*i - 3 = 4*b - 31, -i - 3*b + 11 = 0. Let k = 14.2 - 14. What is the nearest to 1 in i, 2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a - 671 + 671.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 y when four letters picked without replacement from {y: 2, o: 3, h: 7}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s - 5. Let f be l(2). Let d be 0 + (-12)\/(-162)*f. Which is the nearest to -1? (a) 5 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01049546 to 5 dps.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x - 3. Is t(4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120099 is divided by 429.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91194 < 91296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2799124 and -31\/73112.\nAnswer: 1382767256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(12\/11)\/s**(5\/6) assuming s is positive.\nAnswer: s**(17\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -483, -678, -943, -1278, -1683?\nAnswer: -2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4 - 5. Let y be 45\/12 - -6*o\/(-24). Solve y = -k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j - 70. Let c be p(28). Let n = 443 + c. Calculate the smallest common multiple of 12 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -251*l + 715898 - 59533. Is 31 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3008 is divided by 958.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -s + 8, -s + 26 = 4*a + 8. Is (-89)\/(-3) - s\/15 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -563.\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + 101. Suppose m = w + 2, p*w + 2 + 2 = 2*m. Solve m*h = h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*((-110)\/495)\/((-3)\/18))\/((-1)\/(-5))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-7 + (-3 - -25) + (-28 - -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/23)*g**(-2)*(g**0)**1)**(-2\/25))**(-2\/3) assuming g is positive.\nAnswer: g**(-64\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(104) + (sqrt(104)*2 - sqrt(104))))\/sqrt(8) - (sqrt(1053) - (-5 + (sqrt(1053) - (sqrt(1053) + -1 - sqrt(1053)))) - sqrt(1053)))**2.\nAnswer: -88*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -154\/9 (c) 422 (d) 3 (e) -0.3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 885*p**4 - 48639*p**3 + 783900*p**2 - 3918672*p - 160704 = 0.\nAnswer: -12\/295, 12, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - i = -539, -w - 2*i + 118 = -22. Let p = w - 127. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/1)\/(6\/1068*2). Let y = p - 86. What is the remainder when 18 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -161*g**2 + 1. Let o(s) = -10*s**2 + 9*s**2 + 14*s**2 - 165 + 166. Determine o(u(v)).\nAnswer: 336973*v**4 - 4186*v**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 33 + k + 3*k**2 + 6*k + 3*k - 2*k. Find the first derivative of b(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {y: 2, r: 3, o: 1, f: 3, w: 1, e: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 7*g**2 - 12*g + 15. What is j(-7)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c + 4. Let r be v(5). Let b be 3\/2 - (-8)\/r. Suppose -l + b = -5. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5322597.\nAnswer: 3, 7, 191, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*x + 11*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1279 - 927. Calculate the least common multiple of s and 220.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b**2 + 6*b**3 - 11 - 23*b**3 + 4*b - 39*b**2.\nAnswer: -17*b**3 + 4*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20da (base 16) to base 3.\nAnswer: -102112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.525 - 24.625. Let k = -24 - g. What is the nearest to k in -1, -4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0166 - -0.6194. Let b = 0.336 - l. What is the closest to 7 in -2, b, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -129*j**2 - 4 - 5*j - 80*j**2 + 0 - 1 + 210*j**2. Let r be 2*-2*(-5)\/(-4). Let y(k) = -k**2 + 6*k + 6. Give r*y(x) - 6*w(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -0.3, -2329, 2, -3, 21, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19853*u**3*x**2 + u*x**2 + 2*x**2 - x - 733 wrt u.\nAnswer: -59559*u**2*x**2 + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1977, -1984, -2003, -2040, -2101, -2192, -2319, -2488?\n\"Answer: -v**3 - 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106529636 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4 + 4*p + p**2 + 3*p + 9. Determine y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33444 + 34624. Calculate the remainder when n is divided by 150.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1627000 and 52064.\nAnswer: 6508000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 17 + 15. Let i(p) = 4 + 4*p + 8*p**3 - 4 - k*p**2 - 7*p - 2. Let n be i(-6). What is n rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7145944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107 and 642.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p + 2. Let a(w) = w**3 + 55*w**2 + w + 57. Let q be a(-55). Determine m(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {u: 5, p: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/24 + 19\/4. Suppose j*q + 4*g = 720 - 240, -5*g + 25 = 0. Let p = q + -105. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/((b**(-1\/14)\/b)\/b))\/b)\/b*b**(-12)*b**(17\/2)*b\/(b**(-1)\/b))**39 assuming b is positive.\nAnswer: b**(429\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 566160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232177614.\nAnswer: 2, 3, 38696269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 224 (b) -3 (c) -7 (d) 0.7 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-1 - 3) + 3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -668 - -667. Let i = -5 + 10. Let t = 3 + -3.5. What is the nearest to w in -0.1, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/2 + 4618755*i**2\/2 - 9237501*i\/2 + 4618749\/2.\nAnswer: -3*(i - 1539583)*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -740 * -52.7.\nAnswer: 38998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -7\/40*p**6 + 0 + 0*p**4 + 0*p**3 + 26*p**2 + 0*p - 1\/60*p**5. Calculate y(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8708 and 53492.\nAnswer: 374444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -7 - 1\/15*g**3 - 1\/20*g**4 + 1\/5*g + 1\/10*g**2. Determine m, given that c(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.21 + -3.01. Let h = -3.3 + 3. Let o = -0.4 - h. Which is the nearest to j? (a) -5 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2374214*j + 359492.\nAnswer: -2374214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (2 + sqrt(72)*1)**2 - sqrt(72) - (-6*(sqrt(72) + -1 - sqrt(72)))**2.\nAnswer: 24*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -20 (c) -0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277427120 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 608?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -361644.\nAnswer: -1\/361644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/9 + -2 + 3. Let k = 4 - c. What is the closest to k in 0.5, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4923, 4924, 4925?\nAnswer: 4926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 68*b + 1. Let y(m) = -m + 1. Let h(p) = x(p) + 6*y(p). Let u = 0 + 6. Is h(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51761 is divided by 25879.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*q - 3*l, 0 = -0*q + q - 4*l + 18. Let u = 42 - 39. Suppose -q*s = -3*r - 21, 23 = -4*r + u. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - d - 3*d - 12. Let x(a) = -20*a - 30. Let y(i) = 12*l(i) - 5*x(i). Let u(f) = -f - 1. Determine 12*u(r) + 2*y(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)\/(u*u\/(u*u**(-2)*u)))**(-9\/2)\/(u\/u**(-7)*u**(5\/2)*(u**(5\/4)\/u*u*u)\/u**(-3)) assuming u is positive.\nAnswer: u**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 563.\nAnswer: 6193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 less than or equal to -6.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 258\/(108\/(-144) - 0\/2). Find the common denominator of 69\/22 and (-2)\/(-40)*b\/156.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**5\/6 + 7*k**4\/24 - k**3\/6 + 45*k**2 - 1. What is the units digit of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -50, 0.08, -1\/8, -0.1, 129, 2\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -9*l + 11*l - 28, 5*r + 5*l - 10 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -125, -5, -4, -3911, -2 in descending order.\nAnswer: 2, -2, -4, -5, -125, -3911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 15. Let m be u(10). Suppose 8*x = 7*x + m. Let t(c) = 1. Let n(f) = f - 4. Let y(b) = -n(b) + 5*t(b). What is y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/15)\/(3\/(-54)). Suppose z - 3*z + k = m, 4*z = -4*k. Which is the second smallest value? (a) 3 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434289310, -434289314, -434289320, -434289328?\nAnswer: -434289338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*l**3*o + 117*i**2*l**2*o - i**2*o - i*l**3*o - 3*i*l**2*o + 37 wrt i.\nAnswer: -4*l**3*o + 234*l**2*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.8 + 12. Which is the third smallest value? (a) r (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 513458730 to the nearest integer?\nAnswer: 22660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2\/5 + 188239*i\/5 + 9412 = 0. What is i?\nAnswer: -1\/4, 47060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-10*-2 - -4. Suppose 0 = 3*s + 2*s - 5*x - 20, 5*s - x = k. Sort 4, s, 8 in descending order.\nAnswer: 8, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68118517.\nAnswer: 37, 61, 30181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16113 - 10504. What are the prime factors of s?\nAnswer: 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1170603, 2341205, 3511807?\nAnswer: 4682409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 351510 and 30.\nAnswer: 351510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.1, -5.49, -0.2 in descending order.\nAnswer: 0.1, -0.2, -0.5, -5.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.9 - 56.9. Let p = l - -47.7. Is p at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-10))\/1 - 1. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 1. Let b(k) = -2*k**3 + 5*k**2 - k - 51. Calculate -b(n) - 3*d(n).\nAnswer: 2*n**3 - 2*n**2 + n + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2\/(-6)) + 5. Let m = -3336 - -3330. Which is the second smallest value? (a) u (b) -3\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001020 + 20210000?\nAnswer: 102211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 + 2*x - 6. Let d(y) = y**3 + 9*y**2 - 3*y + 11. Let j be (-44)\/6*(-15)\/10. Let w(b) = j*i(b) + 6*d(b). Let w(m) = 0. What is m?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.2 - 123.8. Let x = n - -132.0000095. What is x rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32233444 to the nearest one hundred thousand.\nAnswer: 32200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*y - 123*y - 141*y + 1)*(2 - 2 + 2*y)*(34*y + 8*y - 175*y) to f*y**3 + g*y + x*y**2 + s and give x.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73410.\nAnswer: 2, 3, 5, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79047, 158107, 237167, 316227, 395287?\nAnswer: 474347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287272*j - 143643*j - 143640*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-185)\/(-4))\/5*4. Suppose -2*u + 96 = -v, 4*u - v - 229 = -h. What is the remainder when u is divided by (-5 - 204\/(-11)) + 150\/(-275)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -4*f, 11 = -4*u + 5*f - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/5 + 4*p**3\/5 - 6*p**2 - 64*p\/5 - 32\/5 = 0.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.06823t to kilograms.\nAnswer: 95068.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9465740, -18931487, -28397234?\nAnswer: -37862981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 - 194 = 3*g, -4*i + 2*g = -132. Solve -4*m - i*m = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 49, -180, 1 in descending order.\nAnswer: 49, 5, 3, 1, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-666)\/(-148))\/((-6)\/(-40)). Calculate the highest common divisor of w and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (67\/44)\/(-2 - -1) and 6 + (19 - (-5864)\/(-192)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20935, -20932, -20929, -20926, -20923?\n\"Answer: 3*m - 20938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3*q**5 + 15 + 5\/3*q**3 + 0*q**2 + 0*q + 0*q**4. Find the third derivative of d(x) wrt x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-6) - 1025\/82*((-32)\/120)\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 2192db7b?\nAnswer: -2192db78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2830*r**4 - 75*r**5 - 43*r - 2478*r**3 - 36 - 510*r**4 - 149*r**5 - 1773*r**2 - 475*r - 491*r**2 = 0.\nAnswer: -1\/4, -1\/7, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -408*m**3 - 22*m + 21. Calculate l(1).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141639, -141627, -141615, -141603?\nAnswer: -141591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 77*k - 37. Let h be z(-39). Suppose 17*y - 43 = 76. Put 1, h, y in descending order.\nAnswer: y, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 6*p - 3. Let g be k(7). Sort g, -4, 0 in increasing order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let c(r) = -4*r**2 + 24*r - 18. Let x be c(5). Let h(d) = -14*d - 11*d + x*d + 4*d. Give z(h(l)).\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2480 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*d - 3*w - 44, -2*d - 5*w - 8 = 0. Let a(x) = -3 - 1 + 4 - 2*x**2 + 6 - d*x. What is a(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 1616*b + 14868.\nAnswer: -4*(b - 9)*(b + 413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 1\/70*l**6 - 2\/105*l**5 + 3*l**2 + 1\/84*l**4 + 0*l + 0*l**3 + 0 - 4\/735*l**7 + 1\/1176*l**8. Factor f(w).\nAnswer: 2*w*(w - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2030993\/7 - 290139. Solve -w - 6\/7*f + 2\/7*f**2 = 0 for f.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8695.8 - -8696. Which is the third smallest value? (a) 5 (b) 4 (c) 3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 8:11 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*i + 465 - 465 + 3*i**2)*(5 - 6 - 4) in the form v + g*i + k*i**2 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l - 748*l**3 - 1 + 2 + 569*l**3 + 3*l**4 - 1 as k*l + f + h*l**4 + g*l**2 + w*l**3 and give w.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/519 and -61\/339?\nAnswer: 58647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + 4950\/125. Let l be f\/((-24)\/(-3)) + -10. Let b(d) = 2*d + 6. Give b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (4 + -1 + 4 - 21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 512, 1312, 2472, 3992, 5872, 8112?\nAnswer: 10712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/((-170)\/119)*2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 105*o**2 + 2*o - 2. Let t(z) = -z**2 - z + 1. Determine -f(p) - 2*t(p).\nAnswer: -103*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k + 4. Calculate h(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 4, 6 in decreasing order.\nAnswer: 9, 6, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 51848.\nAnswer: -45\/51848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -789606*r**3 - 588776*r**2?\nAnswer: -4737636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -900*a**5 + 5460*a**4 + 165239*a**3 - 1220634*a**2 + 80824*a - 1344 = 0?\nAnswer: -14, 1\/30, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1496 - -1512. Solve o*h = 15*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 23*x**2 - 170*x - 35. Give m(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - -1 - (-1 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*3\/(-4) + -690. Let p = g + 991. Does 36 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -67.9. Let l = 7.11 - 2.11. What is the biggest value in 74\/7, l, h?\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -2*x + 0*x**2 + 0 - 1\/3*x**4 + 4\/3*x**3. Factor g(o).\nAnswer: -4*o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-7))\/2*1)\/((-74)\/767676*-78).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o - 2*o. Let c = o + -2. Is (2 + 16)*c\/(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0 - (-519 - -514)) + (-66 - 1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337 is divided by 895.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 divided by 1205?\nAnswer: -251\/1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from oggooooooggozzogog?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 238*u**3 + 16*u**3 + 2.\nAnswer: -222*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -159387.74 plus 7.5?\nAnswer: -159380.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-18)\/(-8) - 2). Let b(j) = j + 8. Let y be b(-11). Suppose 0 = s + 4*l - l + 5, l + 3 = s. What is the second biggest value in y, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74746.\nAnswer: 2, 7, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 118846377 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 9 = -2*s, -s + t + 9 - 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 61.3. Let t = 2.78 + p. Let l = -0.034 - 0.066. Is t > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2195.0062458 + -2195. Round x to five dps.\nAnswer: 0.00625","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708142454.\nAnswer: 2, 3, 317, 299359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 157*r**2 - 95*r - 1326. Give z(-78).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 31*o**4\/4 - 7*o**3\/6 + 43*o**2\/2 + o - 24. Is w(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.25 - 6.3. Sort 0.2, 5\/2, s.\nAnswer: s, 0.2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*v + 17 = 0, s - 2245 = 5*v - 2261 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32320 divided by -4\nAnswer: -8080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 3. Suppose -5 = -4*f - 25. Calculate m(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.107726 and -5?\nAnswer: 3.892274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 4 + 3\/4*j**4 + 0*j**3 + j - j**2. Calculate the smallest common multiple of y(1) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/479?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i + 35*i - 414 = 0. Let j = i + -211. What is the closest to -1 in -0.3, -4\/3, j?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 15 = 0, -3*g - 15 + 4 = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10614989 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 38*y + 18*y + 5*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -1437 in descending order.\nAnswer: 5, -3, -1437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3. Let r(o) = -o + 2. Let u(q) = 2*k(q) + 3*r(q). Suppose -l - l + 4 = 4*i, 4*l = 2*i - 22. Let g(h) = 3*h + 4*h - i*h - 2*h. Determine u(g(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*w**3*z**3 - w**3 + 46*w*z**5 - 13*w*z**2 - w*z + 2 wrt z.\nAnswer: -168*w**3 + 2760*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, 9, -26 in descending order.\nAnswer: 9, 3, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 31 = -5*k, 296*k + h = 293*k - 17 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + 26\/10. Suppose 2*p = -0*h + u*h - 12, -4*p - 6 = 3*h. Suppose h*v - 1020 = 4*o, 2*v + 587 = 3*o + 1609. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 175466 + 1?\nAnswer: 175467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38 + 4)*7\/(-14). Are 17 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 2 + -5 + 10. Solve -y*l - l = q + 2, -4*l - 3*q = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from wswwqqmdwd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -7. Let h be g\/(4 + -1 + -5). Let z = -1 + 0. Which is the nearest to z? (a) -4 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezddzfzdzdfdzffdze. Give prob of sequence fez.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 2*m + 0*m + 3*m**2 - m**3 + 1. Let u(g) = g**3 - 9*g**2 + 2*g - 16. Let d be u(9). What is the units digit of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 + v - 1. Let i be n(2). Suppose 4*y = 3 + i. Suppose -y*k - 4 = -6*k. Solve -h - k = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4180 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 669149, 669171, 669207, 669263, 669345, 669459, 669611, 669807?\nAnswer: 670053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-8))\/((-9)\/36)*-1. Let j be 3*v\/3*-3. Let -53\/3*q**j - 28\/3*q**2 + 2\/3 + 7\/3*q + 152\/3*q**4 - 80\/3*q**5 = 0. Calculate q.\nAnswer: -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 20. Suppose 5*y + 30 = 10*y. Let q be l(y). Let k be (q\/(-8))\/((-12)\/16). What is the nearest to k in 2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -10, -48, -122, -244, -426?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*y - 60, 3*n = -2*y - 0*y - 45. Let o = 10 + n. Let i = 25 - o. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16164 and 44002.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3623, 3620, 3615, 3608, 3599, 3588?\n\"Answer: -u**2 + 3624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0312 - 0.0022. Let q = -0.271 - w. Which is the nearest to 0.1? (a) -0.4 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 15 (b) 0.5 (c) 8\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167*g - 1168*g + 2 = p, 6 = -3*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q + 30. Let j = q - -3. Let i = -2 + 7. Put j, -1\/3, i in decreasing order.\nAnswer: i, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593679447 less than 0?\nAnswer: -593679447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -516*x + 25. Is m(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (5 - -5 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (106\/(-424))\/((-1)\/696). Put 23, 0, y in increasing order.\nAnswer: 0, 23, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108393341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 62*d**2 - 10*d + 24. Let y be v(2). Find the common denominator of (-1064)\/y - (-2)\/6 and -139\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -340 + 988. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 2. Is -1 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*o**5 + 48274*o**4 - o + 13860966 wrt o.\nAnswer: 1080*o**3 + 579288*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 10, -1177 = -m + x - 0*x. Let t = m - 10669\/9. Calculate the common denominator of -117\/10 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-7)*c**(1\/13)*c assuming c is positive.\nAnswer: c**(-64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -119\/6, 4\/5, -51, 22?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3697 is divided by 148?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1162 * -0.16.\nAnswer: 0.018592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 4*o**2 + 7*o - 7. Let x(g) = g**3 - 6*g**2 + 5*g + 5. Let v be x(5). Let w be h(v). Factor -2\/9*n - 4\/9*n**2 + 0 - 2\/9*n**w.\nAnswer: -2*n*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10497751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888957702 is divided by 645.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 17*h - 18. Let l be m(-16). Let i be 6\/l - (-1695)\/555. Are i and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7420 - -45?\nAnswer: -7353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 70*o**2 - 41*o + 1. Let v(f) = -12*f. Calculate v(l(q)).\nAnswer: -840*q**2 + 492*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 332.597 greater than or equal to 198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297853971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 5*w - 5*w)*((0*w - 4*w + 2*w)*(1 - 2 + 0) + 3*w + 3*w + 0 - 2)*(0 + 0 - 5).\nAnswer: -80*w**3 + 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssxssssxss. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 827 * -0.138.\nAnswer: -114.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/(-2))\/(-7)*(-15)\/(-405)*-18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 - 54*i**2\/7 + 486*i\/7 - 1458\/7.\nAnswer: 2*(i - 9)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9002 + 8924 = -78*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/5)*h)\/h**(-6))\/((h\/(h*h\/((h\/h**1)\/h)*h))\/h**(6\/7)))**33 assuming h is positive.\nAnswer: h**(13002\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4045 is divided by 56.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1874, -1750, -1588, -1382, -1126, -814, -440, 2?\n\"Answer: a**3 + 13*a**2 + 78*a - 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002753 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92023\/75 - -1227. Let x(c) = -2*c**2 - 8*c - 1. Let g be x(-4). Do i and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 2*u**4 - 17*u**3\/3 + 17*u + 198. Let i(m) be the first derivative of m**4\/2 - 4*m**3\/3 + 4*m + 2. Give -9*i(a) + 2*z(a).\nAnswer: -2*a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-116)\/(-87)*(-6)\/(-4) - -391 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 - 169316856*p\/7 - 7167049431431184\/7.\nAnswer: -(p + 84658428)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14052 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.666137 millilitres in litres?\nAnswer: 0.009666137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11e (base 16) to base 12\nAnswer: 1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21904)\/1295 + 17)\/(4\/8*2)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.29 + -20.39. Let y(x) = -x**3 + 6*x**2 - 5*x - 1. Let h be y(5). Let j = -2.3 - 4.7. Which is the nearest to i? (a) -0.2 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -213*u**2 - 2. Let v(a) = 66*a. Give v(m(w)).\nAnswer: -14058*w**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = i - 63, -2*o + 4*i = -3 - 9. What is the greatest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o. Let c(y) = -y. Suppose -122*g - 13 = -110*g + 59. Determine g*i(a) + 45*c(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.94 + 2.38. Let k = n + 10.16. Round k to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74816741.\nAnswer: 74816741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112 + 349 - 952*a**3 - 5*a**2 - 2194 + 5*a**2 with respect to a.\nAnswer: -2856*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002123 - 111?\nAnswer: -1002300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 4*g**3 + 12*g**3 - 43*g**3 - 26*g**3 + (-g**2 + 3*g**2 - g**2)*(4*g - g - 2*g) to r*g**2 + b + x*g**3 + t*g and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + c + 1. Let l(s) = 5*s**3 + 2*s**2 - 7*s - 8. Let o(z) = -3*z - 25. Let t be o(-7). Let b(x) = t*p(x) - l(x). Determine b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 103. Let i = -43 - k. Solve 3*y - 6*y = i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33668 divided by 8417?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 1. Let d be m(-2). Solve -16 = -g - 4*s, 37 = -3*g + 2*s + d*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 21*i - 323 = 0. Suppose 162 + 9 = i*y. What is the least common multiple of y and (-75)\/(-6) - (-2)\/4?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.48 and 385.7?\nAnswer: 185.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4, -4*a + 0 - 1 = n. Suppose -n*o = 3*b, 3*b = -11 + 5. Differentiate 0*y**2 - 12 + y**o + 17 wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:54 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k**2 - 53*k + 14. Let g be b(17). Let h = g + -1541. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(9\/5)\/d*d*d)\/(d**(2\/19)\/d*d))**(-24))**(-41) assuming d is positive.\nAnswer: d**(345384\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {c: 5, d: 5, e: 3, s: 1, h: 1, q: 3}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/10 - 62\/4. Is (-123)\/12*(j + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**4 + 99*i**3 - 55030*i**2 - 31622897*i wrt i?\nAnswer: 36*i**2 + 594*i - 110060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 1, t: 2, z: 1, j: 12}. Give prob of picking 1 o and 1 z.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let v be q(-2). Suppose 0 = 3*u + 13 + 17. Let l = u - -12. Solve -j - l*j + 20 = 2*y, v*y + j = 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, -2, -279, -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.6 + 30.6. Let o be (-58)\/204 - (-2)\/12. What is the second smallest value in o, 0.18, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**24*q**(1\/25))\/((q*q*q*q*q\/(q**(-5\/14)*q)*q)\/(q*q**(5\/4))))**(-47) assuming q is positive.\nAnswer: q**(-688691\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1373163 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 566472279.\nAnswer: 566472284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44979749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/6820639 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -3*o**3 + 1\/2*o**2 + 51*o + 0. What is n(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*d - 11834, -37*v + 5917 = -36*v + 5*d. List the prime factors of v.\nAnswer: 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -191 + 193. Let p(b) = -1091 + b**3 + 4*b**2 + 1096 + 6*b**2 + a*b. Suppose 2*s + 6 = 0, 4*r + s + s + 46 = 0. Calculate p(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.36 + 1.9. What is m rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**14)**(-7\/4)*(c\/(c**35*c*c))\/(c\/(c*c**(1\/3))))**(-1\/44) assuming c is positive.\nAnswer: c**(361\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*o + 209*o - 214 + 2*o**2 - 415*o in the form j + u*o + t*o**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 55*g - 245. Calculate n(59).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*sqrt(68) + 4*(sqrt(68) + -1 + sqrt(68)))*-4)**2 + 2 + 2 + 3 + sqrt(68) + -4.\nAnswer: -2238*sqrt(17) + 53715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**2\/2 - 12*r + 12. Find the first derivative of z(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*b**5)*(0 - 2 + 4 + (-3 + 2 + 3)*(0 + 4 - 2) + 0 + 4 - 3 - 2 + 3 + 2 - 3 + 2 + 2).\nAnswer: 22*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -62664 divided by -56?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -232*i*s**2 - i*s + 20362*i + 5365*s**2 - 9427*s wrt i?\nAnswer: -232*s**2 - s + 20362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752150 divided by -116810?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {o: 3, j: 5, t: 9, m: 3}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/408 (b) 3\/8 (c) 0 (d) 6\/11 (e) 5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 - 5*t. Let r(y) = y**2 + 9*y + 3. Let u be r(-9). Let b(q) = 20*q**2 + 26*q. What is u*b(h) + 16*o(h)?\nAnswer: -4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 47. Give t(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 764.18236 to the nearest 10.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = k. Let o = -1026294 + 1026299. Solve -k + o = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2 + 37. Let z be n(0). Suppose 0 = -2*f - 11 - z. List the prime factors of 14 + f\/(-4) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 13 + 6 + -3 + 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1964, 855 in descending order.\nAnswer: 1964, 855, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 2. Let k be a(2). Factor -12*n + 5 + n**k - 2*n**2 + 13 + 3*n**2.\nAnswer: 2*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196 (base 16) to base 9.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 - 70 = -157*q + 89 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 18*y + 51. Let g be r(4). Suppose -g*f = -20656 - 12122. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 9*i**2 - 2*i - 10. Let b(w) = -3*w + 3. Let m be b(4). Let p be o(m). Solve 17 + p = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 87.9334cm?\nAnswer: 879334000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:58 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 2686376.\nAnswer: 2686376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*f = 3, -3*y + f = -2*y - 1. Suppose y = -3*p + l + 15, -11 = 2*p + 5*l - 4. Solve -5*b - 3*n = 9, -5*n + 10 = -p*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2918 + 2918 - 6*o. Let u(x) = x. Determine z(u(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 13*t + 95 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -714 = -26*u + 2406. Which is the closest to u? (a) -1 (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25461 and 1.71.\nAnswer: 25462.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.07 + 7. Let n = 2.4 + -2.57. Let m = u - n. Which is the nearest to 0.1? (a) 3 (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -17. Let t(f) = -f**2 - 51 - 4*f**s + 51. Let a(b) = 3*b + 4. Let k(q) = -8*q - 11. Let w(l) = 11*a(l) + 4*k(l). Give w(t(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 3 (c) 12 (d) -1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*sqrt(192) + sqrt(192) + 1)**2 - (-1 + (sqrt(192) + sqrt(192)*5)*6)**2.\nAnswer: -247089 + 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 11*y**2 + 2 + 5 + 3*y - 2*y**2. Let i(d) = 6*d**2 - 3*d - 3. Calculate -3*c(k) - 7*i(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72 + -26316?\nAnswer: -26388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -71. Let g(c) = 5*c - 10. Let r be g(i). Let f be (r - -5) + (-17)\/17. Solve -2*p - 12 = 2*p, f*p = 2*w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-76)\/(-3))\/((-8)\/(-24))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/342*2208\/1472.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 11 = -2*g + 10*g, -5*k + 76 = 61 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 5\/(55\/(-66)). Suppose o*w = 10*w - 4*d + 22, 4*w = d + 8. Factor 0 - 2\/3*q + q**2 - 1\/3*q**4 + 0*q**w.\nAnswer: -q*(q - 1)**2*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 117*k + 6. Let x(j) = -4*j**2 + 235*j - 11. Determine 11*d(r) + 6*x(r).\nAnswer: -2*r**2 + 123*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l**4)\/(l**(-7)*l*l*l\/((l\/(l\/(l\/l**(4\/7))))\/l*l)))\/((l**7*l**(3\/8))\/(l**4\/l**1)) assuming l is positive.\nAnswer: l**(283\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32275*k**2 - 3912 wrt k?\nAnswer: -64550*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + 0*q - 2*q)*(-96 + 130 + 99)*(4*q + 1 - 2*q + 0) as b + r*q + z*q**2 and give r.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-10)\/(-12))*-1. Let o = 10 + x. Suppose 3*u = -o*b - 2388, 4*b = -u - u - 1588. Round u to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 365 - 366. Find the common denominator of 5\/27 and ((-525)\/(-90) - s\/(-6)) + 4.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 10. Calculate d(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4747*c + 670 = 4749*c - 4*t, 2*c = -2*t + 610. Suppose 3*a = 2*m - 140, 2*m - a - 100 = 40. Calculate the highest common factor of m and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6361?\nAnswer: 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 100c2288?\nAnswer: -100c2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-10))\/(2*(-1)\/(-10)). Is 1\/o + 23844\/72 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 94. Suppose n = 5*u - 41. Let a(s) = -u*s + 10*s + 10*s - s**2. Let z(p) = 9*p. Determine a(z(j)).\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 135404961353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.96 - -0.04. Let g = 31160 - 31163.4. Which is the biggest value? (a) -2 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8383348 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 1 - 1)*(1 - d**2 - 1 - 2).\nAnswer: 2*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 2:16 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42555 or 255331\/6?\nAnswer: 42555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 + 155*u + 991. Give z(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16580989 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -44. Let y = 41 + i. Suppose -10*o = -y*o - 192. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 15\/(-10)*1\/((-3)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -54. Let v = 0.012 + 0.088. Which is the nearest to v? (a) 0.1 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by -491?\nAnswer: 280\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6008523*n**2 + 2*n + 12925674 wrt n?\nAnswer: 12017046*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2392.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 163*f + 3076. Give t(-18).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15717164 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/3 + 1063*w**3\/3 + 93270*w**2 - 477396*w - 570312 = 0. What is w?\nAnswer: -534, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/9 (b) -2 (c) 1 (d) 22160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p. Let c(g) = -8*g**2 + g - 1. Let a(i) = 38*i**2 - 6*i - 35. Let f(k) = -a(k) - 6*c(k). Calculate b(f(u)).\nAnswer: 20*u**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 218*z**2 - 16572*z + 279. Give p(76).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(2\/3))\/(x\/(x\/(x\/(x*x**(5\/3))))))**(-35))**34 assuming x is positive.\nAnswer: x**(-3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5*c**2 + 3. Let j be s(-5). Let a be 11 + 1 + 4 + 22 + -20. Solve 2*d + 4*t - a = 0, d + 2*t = j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 337097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e797 + 5?\nAnswer: 5e79c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0995 - -4.0535. Let m = h - -0.046. Which is the nearest to 0.1? (a) m (b) -0.3 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/23 (b) 133 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1000100010011 (base 2) to base 14\nAnswer: -1843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -40. Suppose 11 = 6*v - h. Solve b = z + 4*z + 6, v*z - 6 = 3*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from yyoyyywwyyowoyyyyy?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgdqu. What is prob of picking 1 g and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 2538?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*k**2 - 22*k**2 - 14*k**4 + (-3*k + 4*k - 3*k)*(k**3 - 2*k**3 - k**3) + 3*k**3 + 2*k**4 - 3*k**3 - k**4 - k + k.\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32101 (base 7) to base 12\nAnswer: -4717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -38. Let z be (-2)\/(-10) + i\/5. What is the second derivative of -19*n - 10*n**4 + 6*n + n**4 + 5*n**z wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3012594?\nAnswer: 2, 3, 13, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-15) - 3\/9. Suppose -5*k + 4 + 15 = -2*d, t = d + 4*k - 23. Suppose 2*m + 0*m = 4*o + 806, 3*m - 1224 = d*o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -7 + 22 + 10 + -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79512559 a multiple of 2127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 660924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/7 + 4750\/133 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2821494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let b(l) = 5*l - 3. Suppose -2*z = -3*z - 1. Give z*b(j) - 6*r(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 18*n - 48.\nAnswer: 3*(n - 2)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 811913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10\/600081 - -24584718709\/13201782. Let c = p - 1863. Calculate the common denominator of c and 1\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 - 24*d**4 + 4*d**3 + 48*d**2 - 2*d - 24 = 0. What is d?\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 140721370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 + -84. Let i be (-30)\/(-9) - 3\/c. Suppose 2*r - 6*r = 12, i*g - 6198 = 4*r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, g: 2}. What is prob of sequence pgpg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.281 + -4.281. Let x = -0.2 - -0.1. Let h = 5593\/15 + -373. What is the nearest to x in s, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -928 - -1009.1. Let v = t - 81. Which is the closest to v? (a) 4 (b) -3 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000284144341 rounded to seven decimal places?\nAnswer: -0.0000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 10. Let d be m\/(6\/(-10)) + 1. Calculate the highest common divisor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 9 + -8 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2515, -204 in ascending order.\nAnswer: -2515, -204, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**2 + 17*x - 1. What is the hundreds digit of f(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, l: 2, a: 3, h: 2, t: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/27)\/(p**36\/p))\/((p\/p**(-2\/15))\/(p**16\/p)))**(-24) assuming p is positive.\nAnswer: p**(22904\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 37 = -3*x + 8*a, -3*a = -3. Calculate the remainder when 130 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -33 + (4 - 0) - -17.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -554.2 times -1037?\nAnswer: 574705.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2679\/(-342) - (21\/18)\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 22 - 1. Let q(v) = v + 11. Let f(w) = -w**3 + 6*w**2 + 7*w + 2. Calculate the remainder when q(y) is divided by f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 95739 - 845628 = -46*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -1\/180*p**5 - 25\/36*p**4 + 3 - 625\/18*p**3 - 3*p**2 + 0*p. Factor h(j).\nAnswer: -(j + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*i - 5*i. Solve -3*x + x - 10 = -4*q, 3*q + 3*x - 12 = i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586219 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: Let p(m) be the third derivative of -m**6\/720 + m**4\/12 + 4*m**2. Let z(g) be the second derivative of p(g). Let n(k) = -k. Calculate z(n(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 14702 = -114*r - 5402. Solve r*u - 103*u + 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/5622104 and 62\/206695?\nAnswer: 28110520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 - -116. Let l(b) = -2*b**2 - 13*b - 10. Let c be l(-8). Let q = -34 - c. Solve q = 5*n - z - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 24*c + 3. Let m(p) = -12*p + 5 + 1 - 8 + 0. Let z(h) = 6*a(h) + 10*m(h). What is the lowest common multiple of z(1) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5366 + (5 - (2 - 3)) - (-19 - -13) and 9.\nAnswer: 48402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrzzzzrr. Give prob of picking 3 r.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2004120 + -231?\nAnswer: 2003334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcjd when four letters picked without replacement from djddjdddcjcjdjddjcj.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2193 + 19739\/9. Which is the closest to -1? (a) -1\/4 (b) 4 (c) -0.4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 1, a: 5}. Give prob of sequence pp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:12 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 2. Let a be t(2). Suppose 15 = w + 3*l, 2*w + a*l = -2*w + 20. Let c = 32 - w. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r - 3. Let x = -43 + 26. What is the common denominator of u(-5) and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*r, 0*i = 4*i + 3*r - 360. Let t = -86 + i. Solve -g + 0*g = -4*f + 11, 0 = -2*f - g + t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l**2 + 2*l + 3. Let s be a(-3). Let u be ((-7)\/(s\/(-10)))\/(-2) - 3. What is the third smallest value in u, -1, -1.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-0.8.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/9)\/k**6 assuming k is positive.\nAnswer: k**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**3\/3 - 6. Let t(m) = 3*m**2. Determine t(p(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.11 (b) 10 (c) 5 (d) 105 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 2:39 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**2 - 2*j - 2. What is the remainder when 49 is divided by a(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -47*w. Let h(r) = 44*r - 3. Determine g(h(v)).\nAnswer: -2068*v + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 179?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*t - 2*t - 5*f, -5*t + 20 = -2*f. Suppose -d + 2 = -t. Let v(o) = -o**2 + 12*o - 19. Let m be v(10). Solve -m + d = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7\/q)\/q**(-4\/3))**(-4\/11)\/((q\/(q*q**4))\/q**(-2))**(-1\/17) assuming q is positive.\nAnswer: q**(-142\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/23, 1\/6, 460 in ascending order.\nAnswer: -3, -2\/23, 1\/6, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (35\/450*-15)\/((-15)\/10)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**2*x*x**(-8)*x*(x*x**1*x)**(8\/15))\/(x**(4\/9)\/x**(10\/7))**(-3\/29) assuming x is positive.\nAnswer: x**(-1528\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:00 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {c: 1, w: 1, a: 1, n: 1, s: 1, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 280266319 a multiple of 3225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63457977 and 19617.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -124, -58, 36, 164, 332, 546, 812?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-495)\/22)\/(-45)*((-13)\/5 + 5). What is d in -22\/5*d - a*d**2 + 8\/5 = 0?\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.41 > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 929326264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/53 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6528 less than 0.1?\nAnswer: 6528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*p + p = -18, -5*i - 20 = -2*p. Let g be 645\/(-15) + (-2)\/i. What are the prime factors of (-132)\/g - (-1)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 27 + 24)*(4*f - 8 + 8*f + 7)*(2*f - 3 + 3) as m + g*f**2 + d*f and give g.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-5)))*i)**(2\/63)*(i\/(i\/(i\/i**0)*i))\/(i**(9\/2)*i) assuming i is positive.\nAnswer: i**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -10 - (6\/69 - 31303692\/1081)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103394 (base 10) to base 13\nAnswer: -380a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -22. Does 31 divide (2\/(-1))\/(o\/31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2151 + -2103. Calculate the remainder when 1054 is divided by k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*d + 17 = -0*l, -2*d + 5 = 3*l. Suppose 3*r + 75 = -2*r + 5*s, -2*r = 4*s - 12. What are the prime factors of (l + (-108)\/16)*r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose 0*u - 5 = -3*v + 4*u, 3*v + 3*u + 9 = g. Let k be (15 - 0) + 0\/v. Solve 3*m - 4*h + 10 + k = 0, -m + 4*h - 19 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120110002 (base 3) in base 9?\nAnswer: 16402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -66, -112, -160, -210?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7)*1) + sqrt(833) + 4.\nAnswer: 4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3967, -7949, -11975, -16045?\nAnswer: -20159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2\/2)\/((-4)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44478 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 a factor of 16333680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 20*j**2 + 23*j - 5. Let k be g(19). Suppose 0 = -73*r + k*r + 560. Is 40 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/413, 0.5, -1\/3, -2\/11 in descending order.\nAnswer: 0.5, 4\/413, -2\/11, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*i + 80 - 80.\nAnswer: -1025*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11476 + 14184. What is the greatest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 56*s + 21. Let k be p(-19). Solve 3*c - 3*t = 27, -4*t - 33 = -5*c - k*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 34*u - 16 = 0. Solve -5*k = -k - 3*s + u, 3*k - 5 = -2*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 567 - 2283\/4. Is -3 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/3 - 520*m**2\/3 - 1786*m - 3780 = 0.\nAnswer: -7, -3, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w**2 - 33*w**4 + 0*w**3 + 9*w**3 + 4*w**5 - 18*w - w**5 + 6*w**5 = 0 for w.\nAnswer: -1, 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45606 + 3 + (-434)\/(-105) + (-4)\/30?\nAnswer: 45613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(637) + -2 + -2)*-6)**2.\nAnswer: -25200*sqrt(13) + 576900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 4 (c) 12.6 (d) -70 (e) -1\/10 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65044249 is divided by 1621.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1934 + 1937. Let g(x) = x**3 + x - 4. Let n(t) = -2*t**3 - 2*t + 5. Calculate m*n(p) + 4*g(p).\nAnswer: -2*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2491.6 + 2490.3. Which is the biggest value? (a) q (b) 1 (c) -26 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**3 + 17*f**2 - 17*f - 11. Let x(z) = 5*z**3 + 6*z**2 - 6*z - 4. Suppose 5*b = -3*l - 46, -l - 91 = -3*b - 71. What is l*x(m) + 6*v(m)?\nAnswer: -m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1894*m**3 - 3*m**2 - 3*m - 2. List the prime factors of r(-1).\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5194618 divided by 5759?\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**9)\/(a*a**13) assuming a is positive.\nAnswer: a**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g**3 - g)*(32*g**2 + 2*g**2 - 5*g**2) + 2*g**5 - 2*g**5 + 2*g**5.\nAnswer: -27*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310301022 + 130132?\nAnswer: 311031220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1240 + 1157 = 4*g, 2*p - 117 = g. Calculate the remainder when 1236 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 3*t**5\/80 + 3*t**4\/2 - 171*t**3\/8 + 405*t**2\/4 - 1486*t. What is m in f(m) = 0?\nAnswer: -30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 4 + 2*a + 9 - 5 in the form m + p*a**2 + s*a and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.03, -2\/3, 67.9, 1\/2 in ascending order.\nAnswer: -2\/3, -0.03, 1\/2, 13, 67.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 34318.6 to the nearest 100.\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1482281074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32150 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -6*t + 2*t. Let h be (-3 - t) + 7 + 2. Suppose 4*m - h*q - 6 = -q, -8 = -4*q. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6315 + -6312. Put 0.09, u, -5, -3\/4, 0.2 in increasing order.\nAnswer: -5, -3\/4, 0.09, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50882741 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 16488507.\nAnswer: 4946552.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 r, and 2 o when four letters picked without replacement from {c: 3, p: 2, o: 10, r: 1, l: 1}?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(2*a + a - 5*a) - 839*a + 1792 - 1792 - 4*a + 4*a + a to h*a + i and give h.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 128*x**2 + 1375*x - 711. Calculate b(-138).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - t + 1. Let f(z) = 17*z**2 + 106 + 81 - 185 - 2*z. Calculate -2*b(j) + f(j).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -152442 divided by 81\nAnswer: -1882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4*o - 20, 2 = -3*j - 5*o + 1. Let c = -28 + 27. Let i be ((-2)\/(-4))\/(c\/(-10)). Solve -5*v - 6*y + j*y = 24, -5*v - 30 = i*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 5*y. Calculate the lowest common multiple of 22 and ((-3)\/6 + y)*-36.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 2*o**2 + 3*o - 3. Let h(p) be the first derivative of 1\/2*p**4 + 2*p**2 + 1 - p**3 - 4*p. Give -2*h(x) + 3*i(x).\nAnswer: -x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352\/384 + (-1)\/8 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194416268 divided by -48604067.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 32 = -0*b. Suppose -k + 95 - 41 = 0. Suppose -26 = -b*n + k. What is the remainder when 37 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4775827239 to the power of 1\/4, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = k + 5*l, -4*k + l = 3*l - 66. Suppose -f = -3*f - 6. Let c be (-2 - 61)\/f + 3. Calculate the highest common divisor of k and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 984 - 965. Solve 0 = -24*r + t*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2 - 11) + 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532661.6 rounded to the nearest 1000?\nAnswer: 533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 41951, -2?\nAnswer: 41951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 + -4) - (4 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 5. Let f be (5\/3)\/y*0. Suppose 0*k - 2*k + 1619995 = -n, 2*k + n - 1620005 = f. Round k to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 4796*z + 419965. What is k(86)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11220 by 4.\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + 2 + -2 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.31 (b) -3 (c) 3572\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368362137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*i = 9, -4*d = -d + 5*i - 27. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuf when three letters picked without replacement from {n: 1, f: 8, u: 6}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123 and 0.154.\nAnswer: 18.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 350\/13? (a) 3\/5 (b) 2\/7 (c) 1\/3 (d) 15\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (374\/(-17))\/(-572)*2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149238?\nAnswer: 2, 3, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(4\/9)\/z*z))\/((z\/(z\/((z*z\/(z**(4\/7)\/z))\/z)))\/z)*(z*z**1*z*z)**(2\/35))**(5\/13) assuming z is positive.\nAnswer: z**(16\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/110)\/18*-8*1\/(-8)?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -54431.54 to the nearest ten.\nAnswer: -54430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*m**5 - 4*m - 85*m**5 + 168*m**5 wrt m.\nAnswer: -540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/((-2046)\/(-1254)) + 3367\/(-175).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2604 and 20366535.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 21376336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4 - 4) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 243*u**2 + 1552*u - 55. Calculate l(-6).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**2 + 3*v**2 - 5*v**2)*(-9*v - 26 + 26) in the form f + d*v + w*v**2 + t*v**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*v - 5, -3*x + 19*v - 6 = 22*v. What is the fourth smallest value in x, -5, 1\/4, -1\/6, -14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 90563.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 16*m + 27. Let q be b(-2). List the prime factors of (197\/3)\/(q*(-3)\/45).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbbbbbbbebb. What is prob of picking 1 b and 1 c?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1293 - -1295. Solve -5*c + 5 = -i*q, -53*c - 22 = 5*q - 56*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1383 + 1425. Which is the third biggest value? (a) 4 (b) -7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.36114 minutes in nanoseconds?\nAnswer: 3921668400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 937150*o + 937155.\nAnswer: -5*(o - 1)*(o + 187431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4*(-2 + 0)*10. Calculate the common denominator of 200\/153 + q\/((-90)\/4) and -43\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-91)\/(-14))\/(1\/2). Suppose 3*r - 11 = 2*v - 2*r, -v - 2*r + 8 = 0. Suppose v*h + z = 91. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 10 = 4*u, i - 3*u - 45 = 0. Let w = i + 390. What is w rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:38 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13429*d = -1767574 + 115807 for d.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 10*g + 10. Let z be a(-8). Let h(c) = -5*c + 8. Let t be h(z). What is the common denominator of 125\/6 and t\/(-60) + (-3)\/(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44, 0, -0.1, -0.02, 1\/5, 0.058?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.693932 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -32*a + 0 + 0*a**2 - 4\/3*a**3. Let v(q) = -q**2. Calculate v(i(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/(h*(h\/h**(-2\/9))\/h*h*h))\/(h**(-1))**(-15\/2))\/((((h**(-4)\/h)\/h)\/(h*h*h**(-2\/9)))\/(h*(h**(-2\/7)*h)\/h)**24) assuming h is positive.\nAnswer: h**(2545\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 964 + -593. Suppose 4*k = 4, f = -4*p + 6*p + k. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((-6)\/3 + 1). Let v = 216 + -235. Let x be (-3)\/126 + (v\/(-6) - f). What is the closest to -0.8 in 0.2, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/12)\/((a\/a**(-12))\/a) assuming a is positive.\nAnswer: a**(-143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 b, and 1 o when four letters picked without replacement from bjbbjjbbjobbbrjqrj.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 2*f**2 + 3*f - 2. Let v = 9 - 6. Let i be z(v). Let y be (1 - i) + (-114)\/42. What is the closest to y in -0.4, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 11*f - 37. Suppose 11 = -f*s + 15. Solve 2 = 3*g - s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 846 and 2150?\nAnswer: 1818900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3445 is divided by 91?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -36.945. Let v = -0.083 + a. What is v rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5245 and 2.\nAnswer: 10490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Let x = 0 - r. Let d = x - -5.4. What is the second smallest value in d, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 176078546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -108*s + 10902. Calculate f(102).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3401 + 3487. What is the remainder when 18057 is divided by q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, i: 1, q: 2, l: 1, k: 1, f: 1}. Give prob of picking 1 f, 1 u, 1 q, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5 - 450*a**4 + 2*a**3 + 450*a**2 = 0. What is a?\nAnswer: -225, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1613 - 44*a + 1613 + 46*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/2 - 4\/(-8). Suppose 2*d - 3*z + 8*z = 25, 0 = 2*d - f*z + 5. Let k = d + -3. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2007608 is divided by 158?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 38. Put 6, -0.4, b, 0 in descending order.\nAnswer: 6, b, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n - 8. Let m(r) = -1. What is -5*m(h) + p(h)?\nAnswer: 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46369 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: Suppose 14*s - 14 = 14. Let t be (1 - 3) + (s - 36\/15). Let b = 33\/95 - -1\/19. Sort b, t, 2\/3 in decreasing order.\nAnswer: 2\/3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 45.6.\nAnswer: 44.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.29 times 43\nAnswer: -141.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 213.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -38 + (142 + -56 - 75)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0755059 times 0.04?\nAnswer: 0.003020236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -161760 divided by -2022\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71685 and 120717.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**7)\/(f*f**(-15))*(f\/f**(-1)*f)**(-32) assuming f is positive.\nAnswer: f**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 2\nAnswer: -169\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7966 - 7963. Solve 5*c - 30 = -3*k, -a*c - 20 = -k - 8*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 23287920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71, -38, 5, 64, 145?\n\"Answer: q**3 - q**2 + 29*q - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/3 + 4*c**4 + 20*c**3\/3 = 0.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 946175.8 meters?\nAnswer: 946175800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 25 = -s. Let m(t) = -2*t**2 - t**2 + 2*t**2 - s*t**3. Give m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18846329*q**4 - 2369114*q**2 + 28*q wrt q?\nAnswer: -452311896*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5071*s + 5073*s + 4*h + 6 = 0, -4*s + 2*h + 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/24 + s**3\/2 - 2*s**2. Let i be x(0). Let p(f) = f + 24. Let l be p(0). What is the greatest common divisor of l and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.919 + -19. Let r = j + -3.519. Let z = r - -4.1. What is the third biggest value in 0.4, -10, z?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79484851.\nAnswer: 79484851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-105)\/62) - 4. Let u be 24\/(-30)*5\/(-2). Let l be (15\/(-6))\/(u\/(-4)). Which is the closest to 0? (a) x (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.68 - 855.4818.\nAnswer: -861.1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: c94 (base 16) to base 6\nAnswer: 22524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16120 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2933962 + 11238901. Let c = p + -4818313. Round c to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 g when three letters picked without replacement from {k: 1, p: 5, g: 3, a: 4}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 125781290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 1. Let w(m) = -30*m**2 - 6*m + 6. Let s be -2 + 2\/1 + 1. Let k(o) = s*w(o) + 6*z(o). Let q(d) = 2*d**2. What is k(q(j))?\nAnswer: -120*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 - 1.1. Let k = n + 3. What is the closest to 1\/5 in k, 0, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, -5, -58, -1 in decreasing order.\nAnswer: 8, -1, -2, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from fjcf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -10941186?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703671 and 489.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + 77 + -85.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 4:57 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdwdsbssbbdwbbbwd. What is prob of picking 1 s, 1 d, and 1 w?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 64*i**2 + 835*i + 941. What is l(45)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*y + (-2*y + 4*y + 0*y)*(-4 + 4 - 1))*(3*y**2 - 3*y**2 - 10*y**2).\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Let f = 1 - 0.99. Let g = 33 - 33.2. What is the third smallest value in g, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15844*d**2 + 623*d + 28138251 wrt d?\nAnswer: 31688*d + 623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.4. Let i = -12 - -7. Let g = -0.4 - -0.3. What is the nearest to g in 0.5, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/77)\/((-83)\/8715).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*s = -5*m + 175*s + 59, s - 13 = -m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4 + 2*s**3 + s**2 - 2*s + 6732. What is q(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 37 = 3083*c - 3078*c, -2*u + 1 = -5*c + 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/23)\/f)\/(f\/(f\/f**(-35))))\/(f**(3\/7)\/(f**(1\/6)*f)) assuming f is positive.\nAnswer: f**(33431\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*z - 32 + 12 = 0, -w + 4*z - 4 = 0. Let y = -2.8 - -3. Let o = 0.063 + -3.063. Which is the third biggest value? (a) o (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14079621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37869548 > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 231 = -234 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3711 + -3732 + (-5 - -1 - 97) + -1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 487860 and 1692.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751401371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330*t**3 - 25*t**2*z**2 - 22*t*z**2 - 481*t*z + 2*z**2 wrt t?\nAnswer: 1980*t - 50*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/14*(-3)\/6 and 49\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(1 + sqrt(1872) + -1*sqrt(1872) - (sqrt(1872) - 6*(sqrt(1872) + sqrt(1872)*2 - sqrt(1872)))) + 5)**2*4.\nAnswer: 158400*sqrt(13) + 203861200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 4*a**6\/3 + 4*a**5\/5 - 13*a**4 - 8*a**3\/3 + 40*a**2 - 32*a + 268. Solve g(c) = 0.\nAnswer: -2, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 1271.6\nAnswer: 19074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/2)\/(-1))\/((-3)\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 2 - 5 + 6*n + 2 in the form y + l*n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -2.49, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 3774110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v - 1. Let r(b) = 3*b**2 - 13. Let j(q) = 2*i(q) - r(q). Calculate the smallest common multiple of 1 and j(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.2, -0.59?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*c + 4 + 27*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -169*g**3\/6 - 3*g**2\/2 + 26*g. Is k(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((sqrt(245)*-2 - sqrt(245)) + (sqrt(135)\/sqrt(3))\/sqrt(9) - sqrt(35)\/(sqrt(252)*4))**2.\nAnswer: -1156805\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 - 122.7. Let q = -0.1 - s. Round q to 0 dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -1\/6 (c) 8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b*b*b**(-3)*b*b**(-7)*b\/(b*b**(-7)))**21 assuming b is positive.\nAnswer: b**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*q + 353298 = 99*q + 93*q. Is 53 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 3:51 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1254373232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959672099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2240)\/(-1344)*(-16)\/5.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 not equal to 316152\/1667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005626 rounded to four decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54457528.\nAnswer: 2, 17, 179, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b - 81*b**3 + 5 - 4 - 5 - 55*b**2 - 62*b**2 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13775843 to the power of 1\/2, to the nearest integer?\nAnswer: 3712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189566?\nAnswer: 2, 17, 64399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*t + 22, -31 = -0*b - 5*b - t. Let a(q) = -q + 14. Give a(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45.9 - -46. Let p = 3 + -2. Let j = -2 + p. Is l < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30118279021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8993*m - 8991*m + 17983*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 14) to base 6.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 95, 145, 197, 251?\n\"Answer: p**2 + 45*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*i + 4 = 0, 0 = 2*h - h + 4*i + 8. Solve -d - 4*d = p + 30, h = -2*d - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208723719?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 4. Suppose 4*j - 29 = -521. Let y = j - -611\/5. What is the nearest to -0.1 in y, 4\/7, p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5316 = -5*w, -59*w + 63*w - 5*o = 4260. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66353392.\nAnswer: 2, 7, 29, 31, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 766*p + 10674. What is l(-14)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 3*x**2 - 3*x + 1. Let z = -49 - -46. Determine u(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 11:53 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v**2 + v**2 + 0*v**2 + 7*v**2. Let i(m) = -2*m**2. What is x(i(t))?\nAnswer: 88*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 15. Calculate the greatest common divisor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/30)*d**(12\/11)\/d)\/(d**(2\/11)*d*d\/((d\/(d*(d**(-2\/29)*d)\/d))\/d)) assuming d is positive.\nAnswer: d**(-19031\/9570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5\/3 - 18*g**4 + 995*g**3\/3 - 2462*g**2 + 7116*g - 4968 = 0.\nAnswer: 1, 6, 18, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - -85 - 9 - (0 + 17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394642635?\nAnswer: 3, 5, 19, 1384711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3153 or -59916\/19?\nAnswer: -3153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -147 in ascending order.\nAnswer: -147, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u - 8*u - 4*u + 277*u**3.\nAnswer: 277*u**3 + 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 2. Let h be ((-10)\/(-8))\/(1\/4). Let f(i) = -3*i. Let t be f(-1). Suppose -w = 2*g - t, -h*g + 30 = -w - 4*w. Give z(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4 + 7*f - 11*f**2 + 3*f**2 - f**3 + 4*f**3 - 6*f**3. Let d be h(-4). Calculate the greatest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d + 9487 - 28903. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 0 + 0 + (2 - 2 - 2)*(0*k + 0*k - 2*k))*(8 - 3 - 1) + 3*k + 0*k - 4*k + (-3*k + 0*k + k)*(4 - 1 - 2) - 3*k + 0 + 0 to p*k + q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1000320321 (base 4) to base 7\nAnswer: -2154612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggvv when four letters picked without replacement from {g: 3, b: 4, v: 5, j: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*b**2\/5 + 79576*b + 9824\/5.\nAnswer: 4*(b + 1228)*(81*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 76 (c) 9 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4*s + 2652*o**4 + o**3*s + 83*o**3 - 2*o**2*s - 21799*o*s + 53 wrt o?\nAnswer: 48*o*s + 63648*o + 6*s + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.957 + -103. Does -2 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136.76662 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534 a factor of 85732192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 2\/11, -0.2, 77, 330?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3853437 and 1284479.\nAnswer: 3853437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 8 - 9)\/(2*1). Is g*(-18)\/(-9) + 679 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -14\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 28, 7, -34, -101, -200, -337, -518?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5178 divided by -16\nAnswer: 2589\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p**2 - 2. Let i(f) = 2*f + 338. Determine n(i(x)).\nAnswer: -56*x**2 - 18928*x - 1599418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 14 + 7\/3*s**3 + 13\/5*s**5 + 0*s + 1\/2*s**2 + 2\/3*s**6 + 15\/4*s**4. Factor v(u).\nAnswer: u*(u + 1)**3*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 45*y + 117. Give d(-47).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -98, 2, -18\/5, 6, -218?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**5 + 7*b**5 - 2*b**5)*(0 + 2 - 4) + 8*b**5 - 1 + 1 - 2*b**5 + 2*b**5 + 2*b**5 - 3*b**2 + 3*b**2 + b**5.\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - 370343666?\nAnswer: -370343722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 220968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -106179 less than -106179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -333143, -666245, -999335, -1332407, -1665455, -1998473, -2331455, -2664395?\n\"Answer: v**3 - 333109*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 191*g**2 - 46*g + 5. Let n(x) = -47*x**2 + 11*x - 1. Calculate 9*n(i) + 2*p(i).\nAnswer: -41*i**2 + 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/8, -597, 4\/5, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -39. What is the remainder when 105 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 + -41.5. Let f = 42.1 + l. Let k = f - 5. Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 437518 or 3937672\/9?\nAnswer: 437518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 424185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -517 - 539a?\nAnswer: -5906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 + 1) - (9 + -3 - 17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/12 + 140\/195. Sort -1\/10, -4, f in decreasing order.\nAnswer: f, -1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19467503*h - 19467739*h + 38935241*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2029 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 + 60 - -15) + 10 + 0 + -2 + 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18010?\nAnswer: 2, 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 65636919?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/36 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 5*k**2\/2 - 801. Let a(g) = -12*g**2 + 5*g. What is a(c(m))?\nAnswer: -300*m**2 + 25*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -29. Let b be ((-39)\/(-15) + -3)\/((-8)\/1420). Suppose -3*p + b = -82. Calculate the highest common factor of p and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344464*-4.\nAnswer: -1377856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(2*((sqrt(1300) - (sqrt(1300) + -2)) + sqrt(1300)) + sqrt(1300)) + -4)**2.\nAnswer: -35292 - 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(39)\/sqrt(3) + sqrt(13) - sqrt(13)) + (sqrt(52)\/sqrt(4))**2 + -4.\nAnswer: sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, v: 1, u: 1}. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmm. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 69181825.7 times 0.2\nAnswer: 13836365.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*g**3*n*w - g**3*w - 5774*g**3 + 2*g**2*n*w + 19*g**2*w + 3*g*n - 11*g*w - 13*n*w wrt g?\nAnswer: 246*n*w - 6*w - 34644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from xexlxrljlejxlll.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116341420 divided by 8949340.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 920.929 - 925. Let s = -0.071 - j. Let h = -0.05 - -4.05. What is the closest to h in s, 2, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -19*m**8\/336 - 31*m**5\/60 - 38*m**2. What is the third derivative of c(v) wrt v?\nAnswer: -1140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9248 take away 1866?\nAnswer: -1861.0752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(363) - sqrt(363)*4) + sqrt(363))**2.\nAnswer: 220*sqrt(3) + 1477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(-2\/105)\/q)\/q))\/q**(-33))\/((q\/q**(-26))\/q)**(-19) assuming q is positive.\nAnswer: q**(55652\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-68))\/((5\/(-12))\/((-410)\/(-738)))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833)*6*-1)**2.\nAnswer: 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, -270, -993, -2400, -4719?\n\"Answer: -38*f**3 - f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11977 - 2?\nAnswer: -11979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144667127?\nAnswer: 11, 17, 787, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -222.953 and -9?\nAnswer: 2006.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -120. Suppose -3*v = -2*k - 12, -2*k - 4 + c = 5*v. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 1. Let s(j) = -4*j + 3. Suppose -2*b = 3*g - 1, -1 + 3 = 3*b + 5*g. What is b*s(n) + 3*m(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_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: Solve 17 = 2*h - 61*z + 58*z, 4*h = -2*z + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1847, -2199, -2551, -2903?\n\"Answer: -352*u - 1495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -77*v**3 - 11*v**2 - 22*v - 7. Is o(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*o + 4*j, -5*o = -0*o + j + 25. Suppose 266 = 2*n - 0*n. Let l be 2432\/n - o\/(-14). What is the greatest common factor of 45 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*a**2)*(5 + 7 + 12) + (-5 + 4*a + 5)*(-5*a + 15 - 15) to q + l*a + z*a**2 and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 97?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28870175749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1923653124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uttuuhuuhttu. What is prob of picking 3 u and 1 h?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 9*q - 3. Calculate l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*h + 604*h + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119260 is divided by 143?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 61*w - 7504. Determine y(123).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87255911 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 4202591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*x + 329*x - 1443*x + 327*x + 329*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 5. Let j be (3 + 1)*(-148)\/(-8). Suppose -j = -4*k + 2*k - 4*x, 0 = -k - z*x + 52. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3694, -7392, -11090, -14788?\nAnswer: -18486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvczvvv. What is prob of sequence cczv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 3*t**2 + 4*t + 28. Let q be y(-4). What is the closest to q in 1\/5, -4, -0.1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*y - 7, -16 = 5*y - o - 0. Let p = 2 + y. What is the units digit of (p\/3 + -1)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, 6, 101, -2, -6 in decreasing order.\nAnswer: 101, 6, -2, -6, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/(((x**(1\/5)\/x)\/x)\/x*x))\/x*x))*x**1)**21)**(-50) assuming x is positive.\nAnswer: x**(-3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(-2*sqrt(3200)*-6 + 0 + sqrt(3200) + 3)**2 + -5.\nAnswer: -540815 - 3120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1104 - 1558. Let h = u - -807. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7260705 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 18*j + 31. Let s(c) = 8*c - 4. Let z be s(3). Let p be o(z). Let l be (-18)\/(-48) + p\/24. Solve 5*h + 0*h - 5 = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 - 24\/(-15). Suppose 943*s = 320*s + 28658. Sort s, t, -0.5, 0.3 in increasing order.\nAnswer: -0.5, 0.3, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8282*i - 33050*i - i**2 + 8289*i + 8190*i + 8289*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -19\/210*x**7 + 0*x + 0*x**3 + 0*x**4 + 0*x**6 + 1\/4*x**5 + 0 + x**2. Find the third derivative of j(f) wrt f.\nAnswer: -456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**2 + 3*j - 4. Let d(q) = 3*q**2 + q - 1. Determine 14*d(z) - 4*v(z).\nAnswer: 2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404 divided by -24.\nAnswer: 101\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2295*v**4 - 7*v**3 + 3*v**2 + 64.\nAnswer: 55080*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 35 + 10. Let q(j) be the first derivative of 0*j**4 + 1\/3*j**3 + 1\/5*j**w - 1 + 0*j**2 + 0*j. What is the third derivative of q(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:14 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04476 and -0.005?\nAnswer: -0.0002238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -9*v + 6. Let a(n) be the first derivative of -3*n**2\/2 + 2*n + 10. Determine -8*a(m) + 3*b(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183017427 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -1)*(-1)\/21. Let s = -32.031 - -0.031. Let z = s - -31.7. Which is the nearest to 1\/3? (a) o (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-3))\/(2\/(-4)). Let j be v\/(-4)*(-16)\/(-10). Suppose 3*i = j*m + 46, -6 = -2*i + i - m. Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6784*u**4 + 2985*u**3 + 106516944*u**2 wrt u?\nAnswer: -162816*u + 17910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.110472 - -0.01\nAnswer: -0.100472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24*-5*235\/(-100). Let r = 284 - q. Is r equal to 9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8204952337?\nAnswer: 6701, 1224437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 - (13 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385545 is divided by 192679?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 45*x**3 - 4*x**2 + 6. Let a be q(2). Let p be 600\/a*(2 + 3\/2). Suppose 0*w - 144 = -3*w. What is the greatest common factor of w and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/4 - 1849*x**2\/4 - 182410*x + 29895027 = 0.\nAnswer: -986, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -27*s**2 - 24. Suppose 4*r - 2 = -2*j, -5*j + 5*r = -4 - 31. Let m(b) = -1. Let q(c) = j*m(c) - f(c). Find the first derivative of q(x) wrt x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -4?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2840 and 602790.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 6434163.\nAnswer: -1930248.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 7*j + 1287 = 0. What is the greatest common factor of 33 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.3 (b) 0.3 (c) 31 (d) -0.1 (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 7:01 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6832974 centuries?\nAnswer: 819.95688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.471 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(1100))*-5 - (3 + (sqrt(11) + 0 - sqrt(11)) - (sqrt(891) + (sqrt(891) + -4)**2 + sqrt(891) + sqrt(891) + sqrt(891))).\nAnswer: -86*sqrt(11) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q. Let n(f) = 43151*f**2. What is p(n(m))?\nAnswer: -172604*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {u: 1, m: 1, e: 2, o: 1, i: 1, r: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -11, 10.5, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -559.6 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -39*g**4 - 48*g**3 - 27*g**2 + 12*g + 6. Let h(m) = 40*m**4 + 46*m**3 + 28*m**2 - 13*m - 7. Let z(o) = -7*c(o) - 6*h(o). Let z(d) = 0. Calculate d.\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746495?\nAnswer: 5, 173, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2252772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6))\/((-2)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 - 3*j**4 - 3*j**4)*(5 - 55 - 8).\nAnswer: 116*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60094628141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153733?\nAnswer: 153733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*t - 178*t + 333*t to q*t + s and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 7*q + 8. Let f be j(6). Let r = -70 + 70. Suppose -3*s - 3*u + 12 = 0, 4*s - 5*u = -r*u - 2. Calculate the greatest common factor of f and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*y + 8. Suppose 4*c - 1924 = y*q, c - 1908 = -3*c - 2*q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (5 + -4 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + -1 + sqrt(304)*-3.\nAnswer: -8*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 times 3.25\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2 + 10*x. Suppose -6*b = -2*b + 4. Let a(d) be the first derivative of -d**3\/3 + d**2\/2 + 39. Give b*h(c) + 10*a(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 136.1, -3\/7, 9, -0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 9*n - 2*n - 16. Solve 0 = -54*k - n - 107 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose -3*t + 4*y + 833 = 0, -4*t + 5*t = 5*y + 285. Suppose t*f - 277*f + 10 = 0. Solve 12 = -2*z - 8*d + 3*d, j*z + 13 = -f*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193334685, -386669377, -580004069, -773338761, -966673453?\nAnswer: -1160008145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Suppose -8 = 8*h - u*h - 4*s, 0 = s - 3. Let w(f) = -2*f + f - 1 + 2*f - 2*f. Let p(l) = 2*l + 1. Determine h*p(z) + w(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2275, -2573, -2871, -3169, -3467, -3765?\nAnswer: -4063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1+-31556319\nAnswer: -31556318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**7\/315 - 23*t**6\/36 + 227*t**5\/90 - 113*t**4\/36 + 487*t**2. Determine w, given that a(w) = 0.\nAnswer: 0, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 375\/4 - 87. Find the common denominator of o and -19\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -7*j**4\/24 - j**3\/2 + 25*j**2. Calculate i(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181, -104, 21, 206, 463?\n\"Answer: 2*w**3 + 12*w**2 + 27*w - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-1))\/(2\/(-4)). Let g(z) = -10 - 7*z + 8*z + 4*z + 7*z - z**2. Does 10 divide g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 4*g**2 - 20*g + 34. What is the remainder when h(-7) is divided by 128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.16 - 0.24. Let z = 1.4 + g. Suppose 3*s + 1 = 7. Which is the nearest to z? (a) s (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 2*i - 2. Let o be w(2). Let v = 17 - o. Let j = v + -9. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 186 = -192. What is the second derivative of -117*m - 5*m**3 + 306*m + 1 - m**5 - 2*m**g - 144*m wrt m?\nAnswer: -20*m**3 - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = 3*z - 6, 2*z - 3*q = 4. Suppose 0 = 5*b + 3*m - 14, z = -5*b + 2*m + 32. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2772, -2768, -2762, -2754, -2744?\n\"Answer: v**2 + v - 2774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2368\/360)\/(-8) + 3\/5. Let i(u) = 7 - 3 + 2 - 2*u. Let p be i(4). What is the third biggest value in -0.4, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a kilometer in meters?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223928 is divided by 377.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 3*t + 17, 22*x + 4*t = 27*x + 25 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 180 = -5*i, -3*v + 37 + 65 = 3*i. What is the biggest value in i, -1\/3, -5, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 601 - 591. What is the biggest value in g, -0.2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3363947*g**4 + 2071935.\nAnswer: -13455788*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143.1352 - 141.875789. Let g = -1.26 + w. What is g rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*h**2*x**2 - 1794*h**2 - h*x - 5*x**4 wrt x.\nAnswer: -38*h**2 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 39500000 = 3*t. Round t to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s. Let c(r) be the first derivative of r**5\/20 - 2*r**3 + 4*r**2 - 33. Let a(p) be the third derivative of c(p). Determine u(a(x)).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s + 7. Let c(u) = 45 + 2*u - 306 + 4*u + 269. Let y(f) = -2*f - 9. Let g be y(-8). Give g*p(l) - 6*c(l).\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.05 + -0.05. Let o = 8 + m. Let x = o + -10. Does x = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11210132 (base 5) to base 13\nAnswer: 36a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 110010?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*c = -62, -c + 22 = -2*i - 102. Let p = -112 + 70. Let n = p - i. Solve 4*t - n = -0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -33 in increasing order.\nAnswer: -33, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -6, 19, -0.05, -0.1, -3 in descending order.\nAnswer: 19, -0.05, -0.1, -3\/5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188137*k**3 + 188188*k**3 + 0*k**2 + k**2 - 376235*k**3 + 0 + 0.\nAnswer: 90*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(38)\/sqrt(2) - sqrt(1539)*2) + 1.\nAnswer: -20*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370728887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 0*a**2 - a**2. Suppose 13*x - 16*x + 9 = 0. Let l(t) = 4 - 1 - x*t - 3. Calculate o(l(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-3) + 12 - 1. Let l(u) = -2*u**3 - u**2 + 4*u - 4. Let n(x) = -3*x**3 - x**2 + 5*x - 5. Calculate v*l(o) - 4*n(o).\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937626567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-14)\/a)\/a**(-1\/8)*(a*(a*a\/a**(-5\/3))\/a*a)\/(a\/(a**14*a)) assuming a is positive.\nAnswer: a**(115\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -220*t + 220*t + 0 + 1841*t**2 + 127*t**2 - 3 to h + n*t**2 + i*t and give n.\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 951*a. Let q(l) be the third derivative of -l**5\/12 - 1846*l**2. What is q(t(o))?\nAnswer: -4522005*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 26 - 19 = -3*o, o + 2*c = 17. Let k be -2 + (-3 - -3)*-1. What is the closest to -7 in k, o, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 9.\nAnswer: -12, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129 - -50) + (-297 - -465).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 14113425045?\nAnswer: 14113425040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 9891\/18) + 2\/(-4). Let g = r + 573. What is the highest common factor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-15) + -2)\/(15\/(-250)). Solve n = -4*l - w, 5*n + l + 0*l = -5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-6)*(-8)\/12. Let q be (l\/(-8))\/(8\/16). Factor q*s**3 + 1\/2 - 3\/4*s + 0*s**2.\nAnswer: (s - 1)**2*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 33 = j. Suppose l + j - 88 = 0. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1672 - -3048. Suppose -4*s + p + 866 = 2*b, 2*b - 562 = -s. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15 = -y. Let i(p) = 6*p + 1. What is the units digit of i(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13096399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.575 - 1.425. Put 2\/9, 7.3, u in increasing order.\nAnswer: u, 2\/9, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/13515 + -113584\/391935. What is the common denominator of k and 5\/9?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(147) + sqrt(147)*-1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*5\/(25\/(-12)). Let w = -1 + 53. Suppose -3*j = z, -2*j + 0*j = 5*u - w. Solve -m - u = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1055608880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9516 and 4758?\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225032 - 225191.091. Let d = 159 + h. Let j = d - -0.681. Round j to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1*3\/6). Let b(q) = -4*q**o - 2*q**2 + 3*q**3 - 4*q**3 - 4*q + q**2 + 3. Determine b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 - (3 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7329698?\nAnswer: 2, 349, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 864588 to the power of 1\/2, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from ckczkqkqkczdccc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3123 and -62\/45.\nAnswer: 15615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o + 40. What is n(-5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/(-360) - (988\/32 + -3). Put -5, b, 4, -3, 3 in descending order.\nAnswer: 4, 3, -3, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1, 324 in descending order.\nAnswer: 324, 1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2118257 + 2.8?\nAnswer: -2118254.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5572281 to the nearest integer?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 25 = 0, -z - 38 + 30 = 4*g. Calculate the greatest common factor of z and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 59.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(98) + sqrt(98) + -4)*5 - 3*1*sqrt(98)*1)**2.\nAnswer: -1960*sqrt(2) + 5202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*h + 35. Solve -8 = -k + h*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 0.61, 4, -4, 118?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/3 - 6\/(-9). Let f = 0.0156 - 0.0656. What is the third smallest value in f, w, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let b(z) = z. Let d(f) = -6*b(f) - 5*w(f). Let c = 5 + -3. Let g(y) = -y - c*y + y. What is g(d(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, l: 2, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 11, -0.5, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 13 - 13. Let b = 76 + -62. Let u(x) = -b*x - 18*x - 11*x + 45*x. What is j(u(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 16) to base 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 3*i - 4*i + (-4 + 0 + 2)*(i + 0*i + 2*i) - 14*i - 80*i - 98*i.\nAnswer: -202*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l + 5*c - 150, 4*l = 4*c + 136. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, d: 2}. Give prob of picking 1 p and 1 d.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a hour in seconds?\nAnswer: 77400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-65)\/20 + 345\/20. Solve 16*d = x*d + b, -2*b = -5*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 9, j: 4, n: 3}. What is prob of sequence nn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1100))*3 - (-1*sqrt(11) + 1 + -5))**2.\nAnswer: -124*sqrt(11) + 10575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 131*y - 980. Calculate the remainder when 529 is divided by b(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2623c?\nAnswer: -2623a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 1. Let x be k(1). Suppose 0 = 8*j - 17*j + 8*j. Solve j*a + a + x = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = -4*z + 2, -z = -m + 1. Let n be (-2 - 0)*z\/(-4). Solve x - 1 = n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*l - l - 3, -3*n = 4*l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -13*h. Let y(i) be the first derivative of 0*i + 0*i**2 + 23 - 4\/3*i**3. Calculate y(m(j)).\nAnswer: -676*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4072.741 millennia to months.\nAnswer: 48872892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 26 = -16. What is the remainder when ((-30)\/(-5) - b\/2) + 19 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674 is divided by 193.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 5*p**2 + 10*p + 14. Suppose 4*u + 3*z = u - 15, 0 = 2*u + 3*z + 12. Let t be c(u). Solve -t = -v - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311087670393+-0.0834\nAnswer: 311087670392.9166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 356*o**2 + 6045*o + 417. What is b(-159)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + 4*(-5*sqrt(175)*-4 + 4*-3*sqrt(175)))*-5.\nAnswer: -800*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 19*g + 166. Let s be k(6). Let t(h) = 9*h - 9*h + 18*h - 26 - h**2. Let i be t(s). What is the highest common divisor of 12 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 304615573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 3, l: 3, b: 1, g: 2, f: 1}. Give prob of sequence fti.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 98, 301, 700, 1361?\nAnswer: 2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + (-8 - (-10 + -8) - (4 - (-1 - 3))).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96670098 and 23016690.\nAnswer: 483350490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h - 7160 = -829*h - 24*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4249681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 + 0 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 + 222?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 15 - (1530 - 1502).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -9*w + 19. Suppose -5*u = -u - 4*p, -4*u = -p. Let d = u + 3. Solve -d*s = w*k - 6*s + 3, s = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lums when four letters picked without replacement from {l: 4, s: 2, o: 7, m: 4, u: 1, d: 1}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -v + 34. What is the remainder when 1 + 0 + 0 + 20 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 16*y - 20*y - 3*b, 0 = 5*y + 2*b + 14. Let r = -19 - -24. Sort r, -4, y.\nAnswer: -4, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -542*w + 539*w. Suppose w*k = 2726 - 854. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + -168. Solve 0*y - 6 = -s*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845968471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 5*g + 19, -5*l + 188 = 4*g + 167 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 4 + 24. Let t be 5\/(x\/13 - 897\/(-338)). What is the third derivative of -5*f**6 + 0*f**t - 7*f**6 - 13*f**2 + 4*f**6 wrt f?\nAnswer: -960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 451, 480, 579, 742, 963, 1236?\n\"Answer: -f**3 + 41*f**2 - 87*f + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8062\/5 or -1613?\nAnswer: -1613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/6 and 109\/2210?\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*p + 36*p - 101*p - 2*p**2 - 42 + 28*p to the form f + g*p**2 + y*p and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514.04 less than 0.13?\nAnswer: -1513.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 f, and 2 s when four letters picked without replacement from {f: 1, y: 4, w: 6, s: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91.2221 + -1.7849. Let x = o - -93. Let j = x - -0.0088. What is j rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-2)\/b)**(-37)\/(b**3\/(b*b*b\/((b*b\/b**(-3)*b)\/b))) assuming b is positive.\nAnswer: b**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -6 - 4 - -13 - (-5 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-551*u**2 - 478*u**2 + 1269*u**2)*(-2 + 0 - 5).\nAnswer: -1680*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b**2 - 2*b - 1. Let j(u) = 9*u**3 - u**2 + 6*u + 3. Let f(s) = -j(s) - 2*l(s). Let i = 1 + -2. Determine f(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeoeoooooeo. What is prob of sequence eeo?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y - 2. Let r be k(-3). Suppose -r*t + 3*t = 2. Let o = -619\/6 - -103. Which is the closest to t? (a) o (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4080)\/12750)\/((-4)\/(-5)) - (-2 - (-3212)\/2020)?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*u + 4. Let p = u - 1. Suppose 4*v = -4*a + 5980, 5*v + p*a - 368 = 7122. Round v to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0)\/(a**(-9)\/a*a))\/(a**(2\/5)\/a*a**2) assuming a is positive.\nAnswer: a**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38865?\nAnswer: 3, 5, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 40 + 2*m**2 + 60.\nAnswer: -2*m**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16643189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22190006.7 microseconds to days.\nAnswer: 0.00025682878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 2. Let l be i(-11). Let j = -10 - l. Let s be (-1902)\/j + (-2)\/5. What is the greatest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3163175\/12 + -262295. Let t = 1714 + -416. Let x = r - t. Find the common denominator of -29\/20 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(432) + 0 + 0 - sqrt(432))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/92876 and 19\/2354?\nAnswer: 1021636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + 0.09. Let y = -0.1 + l. Let p = -1 + 4. Which is the second smallest value? (a) y (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 2*w + 5*y, -3*w + 0*y - 108 = -y. Let o = 39 + w. Suppose -216 = -o*z + 316. List the prime factors of z.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 1, g: 1}. What is prob of picking 1 s and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoq when three letters picked without replacement from {o: 8, q: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 5*i**2 - i**2 + (3*i - i - 3*i)*(2*i - 3*i + 3*i) - 10*i**2 + 6*i**2 - 8*i**2 + 0 + i**2 + 0 + (-i - 2*i + 4*i)*(0 - 3*i + 0).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15207304 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 6*r + 0*r - 6 + 0*r - 6*r**2 - 4. Let c be k(-7). Let w be (3\/(-27))\/(1\/c). What is the biggest value in w, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 2)\/1)\/(-5 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 16659590 and 16659585 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40*1\/(-28))\/(5\/(-350)*2).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a - 2*r = -313, 257 = 4*a - 5*r. Suppose 0 = -5*l + a + 17. Calculate the lowest common multiple of l and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280 is divided by 127?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 p when three letters picked without replacement from {y: 1, k: 1, s: 3, e: 2, p: 10}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2 and (1 - 3\/3) + 164\/(-44)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = 8*w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -90\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**2 - 6*x - 6. Let y be i(9). Let g be 126\/294 - (-1)\/7*165. What is the highest common factor of g and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13008 = 2*m + 4*j, -26064 = -4*m - 9*j + 13*j. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 + 1 = 0. Suppose 0 = -3*g + g - 36. What is the units digit of l\/g - 47\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 d, and 1 z when three letters picked without replacement from {w: 1, e: 1, d: 2, m: 1, v: 2, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27540\/(-315))\/51)\/(-1*(-6)\/(-2))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1054, 1\/4, 3, -0.2, 10, 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*q = 0, 177*x = 175*x - 4*q - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 7, r: 4}. What is prob of sequence dudd?\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 9:49 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003133011 (base 4) in base 10?\nAnswer: -276421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/(10\/(-45)). Let u(h) = h - 2. Let j be u(c). List the prime factors of j + 14 - 1\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - 2 - (45 + -37)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 4959*g**3 + 4910*g**3 - 4*g**2.\nAnswer: -49*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -137234 (b) -2 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*w + 13 = 6*w, 5*c - 3*w + 25 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1964788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216 - 147 - 69 + 26*h**2 + 541*h**2.\nAnswer: 567*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.2 - -0.2. Let r = 10.68 + s. Let v = r - -0.22. Which is the biggest value? (a) v (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**5 + 1370*k**4 - 95135*k**3 + 167330*k**2 + 1188640*k + 924800 = 0?\nAnswer: -2, -1, 5, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -398*y - 9642 + 2478 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4 + 1306049*s**3 + 10448436*s**2 + 26121124*s + 20896912 = 0.\nAnswer: -4, -2, 1306057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -43. Suppose -2*x + 64 = -l*x. Let t(q) = -13*q - 24. List the prime factors of t(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g + 659*g**2 - 6*g**2 + 388*g**4 + 1240*g**4 + 3*g wrt g.\nAnswer: 39072*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9412, -9404, -9396, -9388, -9380, -9372?\n\"Answer: 8*u - 9420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*g + 3*g. Suppose 5*i = g*i + 12. Suppose 4*j - i*w = 28, 5*j - 3*w - 19 = -2*w. Solve 0 = 4*l + j*c - c - 16, 2*l - 3*c + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011011001111011001000 - 0?\nAnswer: -10111011011001111011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**3 - 9*m + 9*m - 38*m**3.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*10\/((-12)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 111.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:55 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - -0.7. Let x be ((-2)\/(-1))\/(-7 + 5). Let m = -14\/3 + 4. What is the third biggest value in x, p, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5776 + 5780. Let b = -0.2 - -13.2. What is the closest to 0.1 in o, b, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -8. Let o be u\/(75\/(-9)) - 27\/(-45). Solve 0 = 2*z + 3*d - 1, -4*d + d - 3 = o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.505 + 38119\nAnswer: 38119.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/12368592 and -47\/2748576?\nAnswer: 24737184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 1\/8, -1, -435?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 110 + 36 = 0. Let g = 48 - z. Calculate the remainder when 36 is divided by (22\/g)\/(4\/38).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4291142718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 - -0.24. Put -0.4, a, 1 in increasing order.\nAnswer: -0.4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 8640*y + 1154232.\nAnswer: 2*(y + 138)*(y + 4182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2323 (base 10) to base 13.\nAnswer: -1099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose d = -b*d + 45. What is the units digit of 24\/d*9\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2112 = 5*j, 865 + 395 = 3*j + 3*i. What are the prime factors of j?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30446946*t + 29952453 wrt t?\nAnswer: -30446946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 488179519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 4*d**2 + 6*d - 14. Suppose 3*u + 3 - 10 = -5*o, -3*o - 7 = -u. What is the tens digit of l(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q. Let v(j) = -13*j. Determine s(v(y)).\nAnswer: -78*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/3 = 6598\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 - 3. Let l(d) = 267140*d. Calculate l(k(o)).\nAnswer: 1869980*o**2 - 801420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 0 + 0*o - 4 - 3*o - 1. Let z be n(-5). Suppose 2*k + 4 = -2*a - 2*a, k - 2*a = 6. What is the greatest common factor of z and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1423698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5257042?\nAnswer: 2, 7, 31, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*t + 3873 - 580, 0 = -d + 4*t + 1075. List the prime factors of d.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470 and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2 + 9 - 4*z**3 + 3*z**3 - 10. Let h be c(8). Is h less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d**3 - 6*d**2 - 6*d. Let p(q) = -280*q**3 - 119*q**2 - 119*q. Suppose -3028*m + 12 = -3026*m. Let v be 1424\/(-12) + 1\/(-3). Give m*p(j) + v*s(j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10361\/10 - (0 - -1). Let u = p - 1025. Find the common denominator of u and ((-7)\/4)\/(2\/(-28)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + c**2)*(127*c - 48*c + 117*c).\nAnswer: 196*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {a: 4, d: 1, x: 2, q: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:17 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13151372 by -6575686.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 4486585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-100)\/(-15))\/(26\/639). Let c = -164 + b. Put c, 0, 5 in descending order.\nAnswer: 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2 - 3. Let t = 24 - 24.2. Which is the closest to x? (a) t (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 21*b**2 - 41*b + 63. Calculate y(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (486 - 137*j - 486)*(2*j + 5*j - 5*j) + (-3 - 15*j + 0*j + 4)*(2 + 2*j - 2) in the form w + t*j**2 + b*j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-23 - -15) + 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16571 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:47 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216774467.\nAnswer: 7, 13, 431, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101661?\nAnswer: 3, 7, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161 divided by -2161?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4\/3*l**2 + 100\/3 + 40\/3*l = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 4*o**2 + 4*o + 7. Let d be v(5). Suppose -16*b + 26 + 36 - 30 = 0. Solve -b*p = d*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 231?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 71, -3.\nAnswer: -3, -0.2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39824 and 1216?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 3*m**4\/2 + 52*m**3\/3 + 33*m**2 - 28*m - 73. Factor i(k).\nAnswer: 2*(k + 2)*(k + 7)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 11753.\nAnswer: 35259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.338 + 0.028. Let f = 26 - 25.49. Let c = m + f. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3bb6ab - -74?\nAnswer: 3bb730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 3, -4, 0.5, 3\/5.\nAnswer: -4, 0.02, 0.5, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31068 (base 9) in base 8?\nAnswer: -47772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n - 2. Let t be q(-5). Let v be (34 + -4)\/(t\/2). Suppose 124 + v = -3*a. What is a rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-1077)\/(-6))*1420\/(-3550)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*(1 + sqrt(2057))*-3 + -5 + (1 + 1*sqrt(2057) - sqrt(2057) - sqrt(2057) - -5*(sqrt(2057) + sqrt(2057) + -2)))**2.\nAnswer: 2376*sqrt(17) + 1499569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -k + 5*x - 3*x, 0 = 3*k + 3*x + 165. Let u be k\/(-27) + 14\/(-63). Let w be (4\/5)\/(2\/(-10)). Sort w, u, 10 in ascending order.\nAnswer: w, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22701 by 590.\nAnswer: -22701\/590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2361 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -276*l - 226900. Determine i(-821).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 47*r**2. Let z(y) = 8*y - 7*y - 20*y - 17*y + y. What is z(c(u))?\nAnswer: -1645*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/3 + 530418*a = 0?\nAnswer: 0, 795627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 51*v**2 - 1810*v - 152. Give z(20).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, -17\/6, 2 in descending order.\nAnswer: 2, 2\/5, -17\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**2 - 7*a + 14. What is the tens digit of m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - -1*34\/(-10). Let i = -0.41 + -0.05. Let s = 0.04 - i. What is the closest to -0.1 in s, f, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-4))\/((-6)\/224). Let q(m) = -m**2 + 6*m + 10. Let r be q(7). Suppose 0 = r*h + 12 - 72. Calculate the highest common divisor of h and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 173. Let h be 106\/3 - p\/(-57). Find the common denominator of (-20)\/36 + (-8)\/h and -125\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5525548 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/6 - 6\/(-18). Let v = k + 13. Let g = -4417 - -4422. Solve j + v = g*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*r - 7. Let i(g) = g**3 + g - 1. Let n(y) = -4*y + 4. Give r*i(z) - n(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251995 divided by 2495.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.2 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -615 - -644. Let o = v - -261. What is the highest common divisor of 116 and o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**2\/9 + 84128888*w\/3 + 442354362257284 = 0.\nAnswer: -31548333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1.2.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91.9 - 92.3. Put -2, f, 3\/5426 in decreasing order.\nAnswer: 3\/5426, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86424?\nAnswer: 2, 3, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281530159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85885601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 56 = 5*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 37*j**2 - 59*j - 55. Let t be m(-38). Suppose 5*b - 3*k - 1905 = 0, 2*b - k = 4*k + t. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/116 and -79\/507384.\nAnswer: 507384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 + -101. Suppose 0*t + 2*t**5 - 11*t**4 - 9*t**4 + g*t**4 + 4*t**2 - 2*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x - 4*x + 27810000. What is x rounded to the nearest 10000?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -31. Suppose -93 = -5*a - 3*f, -a = -2*f - 28 - 1. What is the highest common divisor of m and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 14, 3\/4, -1.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 2, o: 1, r: 4, i: 2}. What is prob of sequence oz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -0*c - 24. Suppose -25 = c*q - 31. Solve 26 = 3*r + 4*a, -4*r + q = -0*a - a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 10. Let b(j) = -18*j - 161. Let x be b(w). Let p(n) = -7*n**2 + 3 + 0 + 1 - 3 - n. What is p(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109088589 is divided by 11735.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:37 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*z + 2*z = -1, 4 = 2*j + 4*z. Solve 0 = v + 3*o + 17, -4*v = -j*v + 3*o + 23 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 12:28 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 570 - 566. Let q = -0.104 + 0.304. Which is the closest to y? (a) -0.08 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*o**2 - 5*o**2 - 3*o**2)*(-72*o + 203 - 203) + o**3 - 3*o**3 + 4*o**3 as z*o**2 + y*o + v*o**3 + j and give v.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3*u**2 - r**3*u + 1017819*r**3 - 2*r**2*u + 2*r**2 + 168437*r*u**2 wrt r?\nAnswer: 12*u**2 - 6*u + 6106914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7562316157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.01336 kilograms in milligrams?\nAnswer: 78013360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0.6 (c) -88990\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.137?\nAnswer: -0.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -41. Let k(d) = -d + 7. Let z be k(-4). Suppose -o + 2*o = 1, -3*o - z = -2*j. Calculate the highest common divisor of j and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274407 and 584.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 3)*42*68\/(-153).\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 5 in increasing order.\nAnswer: -13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 0)\/(4\/2). Let w be c\/7 - 198\/(-42). Let y = 8 - w. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.47 + -40.53. Let k = c + 44. What is the nearest to 1 in k, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -93 and 2635 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -14*c**3 - 2*c**2 + 9*c + 1. Let m be h(3). Let w = m + 672. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.02 - 76.28. Let x = k + 86. What is the third biggest value in x, 4, 0.08?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/6, -1\/15, -5.84, 1\/19?\nAnswer: -5.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2. Let h(v) = -230195 + 230040 + 3*v - 4*v. Determine h(p(i)).\nAnswer: 6*i**2 - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1597, -1590, -1583, -1576, -1569?\n\"Answer: 7*j - 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j - 90. Let c = -17 - j. Suppose 4*v + 2*p = c - 3, -4*v - 4*p = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1449*f - 1405*f - 1188 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/13 + 1081112*s**2\/13 - 2162218*s\/13 + 1081108\/13.\nAnswer: -2*(s - 540554)*(s - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5*1)\/(-2*7\/14). Suppose 0 = -5*b - 4*l + 8, -u*l + 4*l = -5*b + 23. Solve -b = -m + 2*j - 5*j, -4*j = -3*m - 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15834 + -15837.3. Which is smaller: j or -0.01?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -148*l**3 - 646*l + 5. Let g(h) = 6*h. Give s(g(t)).\nAnswer: -5328*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + (-6)\/(-40). Let r(f) = -2*f - 3. Let d be (1 - (-1 + 1))*1 - 2. Let u be r(d). Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 78, 76, 72, 66, 58, 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 4*d - 8. Let k(f) = f - 1. Let c be 0*(-2)\/(-8) - (-6 + 6). Suppose w - 5*x + 5 + 20 = c, -2*x = -8. Calculate w*k(o) + g(o).\nAnswer: -o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0)\/1 + -2. Let z = 5 + -2. Let m(b) = -2*b**3 - 2 - 4*b + 0*b**3 - b**3 + z*b**2. Let f(r) = -4*r**3 + 4*r**2 - 5*r - 3. What is l*f(a) + 3*m(a)?\nAnswer: -a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 10) in base 15?\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 - -122.8. Let w = 125.41 - a. Let o = 0.589943 + w. What is o rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70772 + -6115?\nAnswer: 63656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18894*b**3 + 20*b**2.\nAnswer: 2*b**2*(9447*b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:23 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -6, -0.4, 213, -5, 400\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 - 1.8. Let w = 5 + j. Let i = w - -3.6. Sort -0.3, i, -0.5 in increasing order.\nAnswer: -0.5, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17334\/4815*((-40)\/6)\/(8\/(-12))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58383978*o**4 - 1608724*o - 1 wrt o.\nAnswer: -700607736*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2681*n + 2685*n = 96. What is the highest common divisor of n and 1464?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11407603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -20, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 5*-3*sqrt(68) - (3 + sqrt(68))*1) + (sqrt(68)*1*1 + 2*sqrt(68) + 5)*-4)**2.\nAnswer: 2484*sqrt(17) + 50101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j - 56. Let x be u(-17). Let q(t) = -t**3 + 32*t**2 - 46*t + 28. What are the prime factors of q(x)?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -9. Let f be (8\/(-12))\/((-4)\/(-6)). Let z = f + k. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59923905.\nAnswer: 3, 5, 37, 107971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32154 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 5:35 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 27964557*a - 27964560.\nAnswer: 3*(a - 9321520)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 842\/9 - 93. Is 2 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 22. Let u = 47727 + -238633\/5. Is s >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 5 (b) 53.9 (c) -21\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwweeewwewwwawwwaaw. What is prob of picking 1 e and 1 g?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.591930609 to four decimal places.\nAnswer: -0.5919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 + 4 = 0. Suppose -3 + 2*y + 3*y**a - 6*y**2 + 4*y = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9370 = 2*h - 5*h, -5*o - 9361 = -3*h. Suppose h = 3*c + 5*v, 4*v = 5*c - 1393 - 3872. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 10 = -n + 3*n, 3*n - 15 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(500)*1 + 3)**2.\nAnswer: 240*sqrt(5) + 2036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 6:46 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 12) in base 16?\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3 - 13 + 54 + 61*l**3 + 108 with respect to l.\nAnswer: 186*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 t, and 1 l when three letters picked without replacement from xlxty.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/6 - (-4 - -8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4171\/3024 - -37\/27. What is the common denominator of 278\/(-44) - -3*2\/2 and j?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sixnxzdnzdds. Give prob of sequence xx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n + 9*n - 21*n - 4*n in the form g + m*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/427?\nAnswer: -8\/427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058772 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 - 1270313.462?\nAnswer: -1269728.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.912165 + 4.6\nAnswer: 3.687835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.579 and 0.1.\nAnswer: -0.1579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 2*q**2 - 12. Calculate f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*p = 43 - 11, -4*x + 3*p = -28. Suppose 5*t - 3939 = -0*t + x*w, 3*t = 3*w + 2364. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {i: 8, f: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 86, 288, 672, 1298, 2226, 3516, 5228?\nAnswer: 7422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 809614369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 5 - 5)*(2*x + x + 0*x)*(-2 + 2 + x) as l*x**3 + n + g*x + h*x**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, h: 6, w: 1, n: 4, c: 3, l: 1}. What is prob of picking 1 l, 1 c, 1 h, and 1 w?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpppppppppp. Give prob of sequence pb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((12 - 3) + -4)) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2256854299.00000012 - -2256854340. Let a = 41 - u. Round a to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215660 * 101\nAnswer: -21781660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1261900129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2432?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151.9843 - 152. Let g = -0.0156968 - x. Round g to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 21*t - 510. Let x = t - -48. Is -5 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1. Let c(s) = 2*s - 3. Let l(k) = -6*a(k) - c(k). Let i be l(-3). Suppose 3*y - i = 27. What is the highest common divisor of y and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:13 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-40)*4\/27*1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201713868 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -221993, -444016, -666075, -888170, -1110301, -1332468, -1554671?\n\"Answer: -18*m**2 - 221969*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8520 + 2999. Let a = i - -8540. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 31*u**2 - 43*u - 11. Calculate m(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/616 and -71\/171164?\nAnswer: 3765608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 75.2. Let s = 1.2 + r. What is the nearest to 1 in s, -4\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/704*-196*4. Which is the third smallest value? (a) 4 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4398991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -33 - (-54 - -47)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16380\/(-245))\/(-26))\/((-1)\/9*60\/(-140))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79\/3974 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 - k + 7*k**2 - 14*k**2 + 0*k. Give v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o - 1. Let z(f) = 73*f**3 - 2*f + 4. Give -4*x(v) - z(v).\nAnswer: -77*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1820.238 nanograms?\nAnswer: 0.000000001820238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111101000001 (base 2) to base 9.\nAnswer: -30743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 12) in base 8?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 2 = -2*n. Calculate the remainder when 32 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 13. Let i be h(-14). Suppose -27*r - 69*r = -25*r + 142. Which is the closest to 1\/2? (a) 0.6 (b) i (c) r (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38569.62 + -38539.61987. Let n = 30 - m. What is n rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**2 - 45*g**2 + 23*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*x - 92*x + 2562 = -39*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-98 - (2 + -1)). Suppose -4*v + l = -0*v - 3*z, -4*v - 2*z = -94. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 9. Suppose 4*u + 32 = 8*u. What is the lowest common multiple of i(-8) and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*(x*x**(-2)*x*x)\/x)\/x))\/x**(3\/2)*((x*x*x**(1\/9))\/x*x)\/(x\/x**5))\/(x**(-5)*x**(-2))**27 assuming x is positive.\nAnswer: x**(3503\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -191 - -191. Solve a = b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925*o - 50 = -935*o. Solve t + 17 = -t - o*i, 2*t + 3*i + 11 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -45. Solve h + j*i = -h - 2, 5*i = 3*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1038812265 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -850 (base 9) to base 16.\nAnswer: -2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*(3 - (-3)\/(-3)). Let a be (-52)\/(-10) + 4\/t. Let p be 44\/10 + (-8)\/20. Solve b - p*r = -4*b - 15, a*r - 22 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1848198 or -1848221?\nAnswer: -1848198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2. Let k(c) = 16*c**2 - 22*c**2 + 13*c**2 + 11*c**2. What is h(k(j))?\nAnswer: -648*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107527155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/65 - (-9316)\/9880 - 6\/5 and 19\/546.\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 30. Calculate q(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5014222?\nAnswer: 2, 1171, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 - 223?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + -0.5. Let x = 0.3 - s. Which is the nearest to 0.2? (a) x (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 - -3326?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 514815 and 735450?\nAnswer: 5148150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from dtvtdjtttd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(500)*-3)**2 - -4*(sqrt(5) + (-4 + sqrt(245) - sqrt(5))))*-6 + 3 + -5.\nAnswer: -242906 - 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/12 - 0)\/(14\/132888) a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1 + -2 + 3. Suppose 6*r - 2*r - 80 = f. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 6 (c) 0.3 (d) -3\/5 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 13*g**2 + 31*g + 17. Let r(l) = l**2 - 15*l - 69. Let f be r(18). Let n be j(f). Solve -3*a - 5*s - 9 = -a, -n*a = -2*s + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.145 - 24?\nAnswer: -24.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 5*m - 2. Let d be q(-4). Let z = d - 12. What is the least common multiple of 24 and z?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504)\/1638 + 252\/(-26) - 277\/(-28).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 8*q + 19 = 2. Is q less than 2\/3715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120286 is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1335796, 5343194, 12022192, 21372790?\n\"Answer: 1335800*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 52 + (-40 - 3 - -44).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 14) in base 5?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -ad4a?\nAnswer: -ad50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 16*l**2 - 618*l + 9902. Give d(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/6 - 25*k**3\/3 + k**2\/2 + 74*k\/3 - 50\/3.\nAnswer: -(k - 1)**2*(k + 2)*(k + 50)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 308 + 97 = 0. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -988723\/816 - -3635\/3. Sort -3, 1\/7, x in decreasing order.\nAnswer: 1\/7, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 35*g**3 - 3050*g**2 + 9320*g - 6720 = 0.\nAnswer: 8\/7, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 144, 1, 14\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15441000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-2 + -3))\/2. Let j be 530\/(-6) - z\/6. Let l = -1175\/12 - j. What is the common denominator of l and 87\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -262 + 106. Suppose x = 5*g - 2*g. What is the units digit of (-1)\/(-4)*g*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 593 divided by -5\nAnswer: -593\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*v**2 + v + 90*v**2 - 2*v.\nAnswer: 586*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 146796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114336 divided by 18.\nAnswer: -6352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 6 + 19. Let a(o) = o**2 - 7*o + 4. Let v be a(h). Is (v + 2 + 2)*-19 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29095)\/(-46))\/115 + 21?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 + 79\/(-9). Is (-3030)\/b - (-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*t = -5, t + 3 = -2*x - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567107.\nAnswer: 567107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 22, 71, 172, 343, 602?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 29*n**2 - 118*n - 45. Calculate d(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5945606296.\nAnswer: 2, 7, 859, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1734331.81524417 + -1734354.855. Let t = 37.03975576 + n. Let i = t + -14. What is i rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -39178\nAnswer: 7835.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4091\/90 + 829\/18. Which is smaller: 0.0294 or w?\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*n + 24 = 0. Let a = 6 - 217. Let v = 243 + a. What is the highest common factor of n and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4556 divided by 87\nAnswer: -4556\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2352) + -2.\nAnswer: -2 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60*((-66)\/495 - 12\/(-15))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884317956?\nAnswer: 2, 6779, 69491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 163, 1753, 4405, 8119, 12895, 18733?\n\"Answer: 531*f**2 - 3*f - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021303 (base 9) to base 13.\nAnswer: -2b9287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:13 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14476 and 21308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 30617464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 8. Suppose -205 + 1227 = 7*k. Suppose 30 + k = -22*o. Are t and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*c**2*g**2 - 3*c**2 - 5*c*g**2 + c*g + g**2 wrt c.\nAnswer: -48*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u\/(u\/(u*u**(3\/13)*u))*u)\/(u*u**(-5)*u))**(-42)\/(((u*u\/(u\/u**(-1\/11))*u)\/(u**(-4)*u))\/(u**(-1\/4))**(-5\/11)) assuming u is positive.\nAnswer: u**(-224503\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-8) - 3) + (-44)\/72?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 = -2*f - 4*f. Is 58 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280\/80*2\/14\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/21)\/(6\/324))\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 2. Let w be x(-5). Let k be 10\/15 + 16\/w. Let j = 11 - k. Calculate the highest common divisor of j and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-2\/7))*w)**(-14)*((w*w\/((w*w**0\/w)\/w))\/w)**(1\/4) assuming w is positive.\nAnswer: w**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 629.3446um?\nAnswer: 0.06293446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*p + 141*p = 16. Suppose 4*t = 5*x + 2*t - 15, -3 = -x - 3*t. Suppose -3*f + 2*u + x*u = -205, p*u = 4*f - 264. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fphf when four letters picked without replacement from {h: 4, g: 2, f: 2, p: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29058789.\nAnswer: 3, 1933, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 4*n = 4*m + 13, -2*m + 2564 = 15*n + 2509 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**4 + 40*f**2 + 2*f**4 - 45*f**2 - 2 to r*f**4 + s*f + d + h*f**2 + a*f**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 13 + (-30 - -19) - 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 21*d**2 - 5*d + 40. Let c(g) = -16*g - 293. Let t be c(-17). Is q(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51812928 divided by 736.\nAnswer: 70398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(-4*c - c + 4*c) - c + 4*c - c + 4*c + 3*c - 5*c - 2*c - 3*c + 4*c + (-1 + c + 1)*(-1 - 1 - 5) + 2*c - 2 + 2 + 4*c + c - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222874238?\nAnswer: 2, 7247, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 + 14*f + 21. Calculate i(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*(-8900)\/(-712)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 8*c - 7392.\nAnswer: 4*(c - 44)*(c + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:55 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*a**3*d*j + 2*a**2*d*j + a**2*j - 2*a*d*j - 5*a*j - 3*a - d wrt a?\nAnswer: -72*a*d*j + 4*d*j + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*p = 89420 - 6029 for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62515125 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 595847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o - 27*o + 86*o.\nAnswer: 91*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80885794 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 11:48 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 - -186. Let p be (-5)\/(-20) - k\/(-16). Solve p*a - 22 - 3 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + 45. Let j be (-2 - 5)*8\/(-8). Suppose -j*u - 3 + n = 0. Calculate the highest common factor of u and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000111100110111 (base 2) to base 15.\nAnswer: -53c5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**5\/10 - 9*j**4 + 324*j**3 - 5832*j**2 + 14*j. Factor s(m).\nAnswer: 2*(m - 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/523 + 2171\/65375. Let s = 1129\/250 - r. Factor 3*n + 0 + 3\/2*n**3 + s*n**2.\nAnswer: 3*n*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-3)*(-54)\/(-45). Let f(v) be the second derivative of 1\/4*v**4 + 0*v**i + 3*v + 0 + 1\/2*v**3. Find the second derivative of f(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 35406891.\nAnswer: -2\/11802297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 2. Let o be d(1). Let w = 1 - o. Calculate the remainder when 2 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 43*p - 4. Let y be z(8). Let n = -151 - y. Solve 0 = -4*d - 2*f + 4, 5 = n*d - 5*f - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(0*p + 3*p - p) - p + 2*p - 2*p - p + 4*p - 2*p + (6 - 11 - 3)*(p - 2*p - p) + 71*p + 63*p - 37*p.\nAnswer: 111*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t + 2*t + t + (3 + 4 - 6)*(t - t + 2*t))*(-9 + 9 - t**2) - 20*t**3 + 42*t - 42*t to the form x*t**3 + n + a*t + s*t**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a meter in millimeters?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 4 + -1 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 25 + 4140*y - 15 - 4044*y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1096 and -0.5?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - 242\/6. Let y = -17 - r. Let h = -18 + y. Solve 5*w - 2*s = 10, 4*w - h = w - 4*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13401 = 40*u + 13201. Sort 0.1, 670, u, 0.4 in increasing order.\nAnswer: 0.1, 0.4, u, 670","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 4*u**2 + 6*u - 6. Let x be i(5). Let v = 653 - 657. Sort 0, x, 5, v.\nAnswer: v, x, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from cvcbrrrrrruurrcurbr?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*s - 0*s - 5*f, 0 = -5*s + 3*f + 10. Let n(y) = -4*y - 7. Let l(m) = 3*m + 6. Give s*n(o) + 6*l(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1354499516 and -1354499516 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539 divided by -539.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) -1\/6 (b) -27\/7 (c) 0.3 (d) 1\/3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*z - 15, 10 = 4*z - 4*f + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25839, 51464, 76887, 102108?\n\"Answer: -101*m**2 + 25928*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2533*z**2 - 168*z - 23*z + 95*z + 96*z.\nAnswer: -2533*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen eighths of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6)\/1*(-246)\/(-328). Let f(j) be the second derivative of 0 + 1\/6*j**3 - n*j**4 - 1\/2*j**2 - 4*j + 1\/20*j**5. Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5743, -23053, -51897, -92275, -144187, -207633, -282613?\n\"Answer: -5767*b**2 - 9*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 719 = v. Is v a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 507.98769 to the nearest 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -16. Is 19 a factor of (-3)\/b - (-395)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510.692 less than 2?\nAnswer: 1512.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = 6629 - 99434 - 66687. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 25*b - 49. Suppose -5*q = 5*u - 2*u - 37, 2*u + 3*q - 24 = 0. Let w be y(u). Solve 0 = -16*v + w*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3750261?\nAnswer: 3, 1250087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:52 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -43. Suppose 0*m = -5*m + t. Let c(i) = 2*i - 1. What is c(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17668, -17661, -17650, -17635, -17616?\n\"Answer: 2*w**2 + w - 17671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 39*q**2 + 8*q**2 - q - 15 - 18*q**2. What is the lowest common multiple of 10 and f(-29)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1)*(1 - 1 + 2)*(23*b**4 + b**4 + 4*b**4) as w + m*b + s*b**3 + f*b**4 + o*b**2 and give f.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -450*j - 58*j + 56*j - 12204 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*f - 21 = 0, a - f - 13 = f. Suppose 5*q + 6 = -2*r, -3*r - a = 4. Solve q = -i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60 and -2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413757675 to the nearest integer?\nAnswer: 20341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i**2 - 2*i + 9. Let x be g(4). Let s = 48 - x. Calculate the remainder when 59 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*(-48)\/(-24). What is the nearest to t in -0.03, -5, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31450615 - -3?\nAnswer: -31450612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 1449 = -4*k + 1454, -5*q + 0*k = 3*k - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 12*w**2 - 36*w + 307. Calculate z(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-18) + 4*(-22)\/9. Let s be (72\/h)\/((-24)\/1280). Calculate the greatest common factor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/4 + 271*l**3\/4 + 18427*l**2\/4 - 37663*l\/4 + 9483\/2 = 0. What is l?\nAnswer: -58, 1, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096456307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(-1\/2)\/i)\/i*i))**(-21)*((i\/(i**0\/i))\/i)**(-7\/5) assuming i is positive.\nAnswer: i**(-329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {c: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.85 - 0.05. Let c = p - 1. Let f = 1106.04 - 1106.34. Sort -2\/29, f, c in ascending order.\nAnswer: f, c, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*l - 76*l + 74*l.\nAnswer: -190*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**4 - 22*f**3 - 4*f**2.\nAnswer: -2*f**2*(f + 1)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:40 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f - 3*f)*(-1 - 3*f**2 + 1)*(-24 - 24 - 27).\nAnswer: -1125*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*q - 160, 5*o + 5*q - 29 = 241. Calculate the highest common divisor of 91 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 3*o**2 + o - 4*o**2 + o + 2. Suppose 0 = 5*i - 3*i - 6. Calculate b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/2 + -4)*2\/20*0. Solve w = -318*x + 320*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -65. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/12)\/((-1)\/(-4)). Let z = 0.065 - 0.065. Let h = -1.1 - -1. Which is the nearest to i? (a) h (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -15. Solve -s*c = -12, 7*c - 3 = 3*a + 4*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7111, 14073, 21033, 27991, 34947, 41901, 48853?\nAnswer: 55803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1195\/2 or -3425?\nAnswer: -1195\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -91. Suppose u = 4*j + j. Suppose 0*z - 4*o = -z + 2, 5*z - 2*o - 10 = 0. What is the remainder when j is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {d: 3, z: 1, j: 1, l: 3, v: 3, p: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 70*u**2 + 4253*u + 336630. Give p(-74).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -1 - (0 + 85 + -161)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(1\/3)*q*q\/q**9*q*((q\/(q*q*q\/q**(-1)))\/q)**(-49) assuming q is positive.\nAnswer: q**(577\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/12 - j**3\/6 - 49*j**2. Determine r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**5\/60 - j**4\/3 + 7*j**3\/6 + 19*j**2. Let k be h(8). Suppose -30 = -k*l + l. What is the lowest common multiple of 9 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36234877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*u + 342 + 92 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2456)\/(-12))\/(2\/33). Suppose -6*a - 959 + j = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6))\/((-1)\/(-10)). Solve 2*q - 3 = -y*s + 12, -q + 15 = 4*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/6023448 and 27\/669272.\nAnswer: 6023448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-4) - 11999\/(-1). What is r rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/60 + 2\/(-12). Let w = l - -8. What is the remainder when 27 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v = -21*v + 15, r - 5*v + 28 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9758 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 7*r + 16. Calculate t(-19).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -4*z + 9*f - 4, -5*f + 11*f - 2*f = 56 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 201643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60538 and 2?\nAnswer: 60538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 68 = 2*m - 36, -3*m + 12 = 0. Solve 7*g + 24 - l = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - -9 - (-86)\/(-21). Which is the biggest value? (a) 2\/13 (b) v (c) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.7. Let u = -51 - -359\/7. Let x = 121 + -122. Which is the closest to v? (a) -4 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 8. Suppose 2*x + 8 = j, -j + 5*x = z*j - 21. Suppose -4*m = 20, -r = -j*r + m + 17. What is the smallest common multiple of 22 and r?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 63 - 172 = -j, 0 = -q - 2. Suppose 0 = j*n - 248*n - 20. What is the closest to -0.1 in 0.5, n, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttcffctctcscttftc.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**2 + 2054*a - 618.\nAnswer: 2*(a + 103)*(10*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2)*(-8)\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/1847? (a) 0.9 (b) 176\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.227980092 to 2 decimal places.\nAnswer: -3.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18773089?\nAnswer: 97, 103, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((4\/5)\/(10\/(-25)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 937104 and 7457786.\nAnswer: 178986864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-66)\/40)\/11)\/((-6)\/15)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4835208.42 minutes in weeks?\nAnswer: 479.683375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**4\/6 + a. Suppose h = -5*x + 2 + 27, 13 = 2*h + x. Let s(z) = -2*z + 2 + 2 - h. Give q(s(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -28*k**2 - 74*k + 11. Let g(x) = -9*x**2 - 25*x + 4. Let v(d) = 11*g(d) - 4*t(d). What is the second derivative of v(u) wrt u?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/14)\/(2\/7))\/((-10133)\/425586).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 7597564?\nAnswer: 30390256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - b + 64. Let o be y(7). What is the highest common divisor of o and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 19*w**3 + 2*w**2 + 31*w**3 - 29 to the form u*w + v*w**3 + r + x*w**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -19702.386 smaller than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 228*c + 450. Let x be v(2). Let f(t) be the first derivative of 1\/12*t**4 + 4*t - 31 + 25\/6*t**x + 14\/9*t**3. Factor f(w).\nAnswer: (w + 1)**2*(w + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 47.48 (b) -7 (c) 1 (d) 0 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167044 to the power of 1\/2, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3*2 - ((-7)\/(-4))\/((-896)\/(-40448)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*s - 9 = 5, 4*z + 4*s - 28 = 0. Suppose z*n - 36 = 2*n. What is the highest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*i + 4*k + 17, 0 = -4*i - 3*k + 13. Let y(t) = 8*t**3 + t**2 - 2*t + 2. Calculate y(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 32*n**2 - 5*n - 17. Let u = -127 - -122. Let t(i) = 31*i**2 - 6*i - 17. Let a(c) = u*t(c) + 6*w(c). Differentiate a(j) wrt j.\nAnswer: 74*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3498796, -3498767, -3498738?\n\"Answer: 29*l - 3498825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/33 + (-98)\/308\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0 - 37\/6*b**3 + 15\/4*b**4 + 0*b**2 - 14*b. What is the second derivative of q(g) wrt g?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0193142611 rounded to 6 dps?\nAnswer: -0.019314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j. Let m(o) = o**3 - 16*o + 1. Let d be m(4). Let y(a) = -1. Give d*h(u) - 3*y(u).\nAnswer: -3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3671698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -11*h + 262. Let t(i) = -2*i**2 + 48*i + 58. Let b be t(25). Solve 0 = -0*y + 4*y + h*q - b, 0 = -5*y - 3*q + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 8*k - 26. Let r be x(5). Put -0.3, -3, r in decreasing order.\nAnswer: -0.3, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360670881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15799 at most 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 - 20*y**4 + 24*y**3 + 16*y**2 - 32*y.\nAnswer: 4*y*(y - 2)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 842.741 - 788.7. Let z = 54 - f. Let j = z + -7.559. What is j rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-23)*o\/o**(1\/5)*o\/(o\/o**(-3\/5))*o**12 assuming o is positive.\nAnswer: o**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 18*o - 9. Let f be -11 - -7 - -10*2. List the prime factors of b(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1795)\/1077)\/((-2)\/12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g + 3*g - 66 = 0. Which is the biggest value? (a) 0.2 (b) 165 (c) 5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, p: 3, o: 2, g: 3, l: 3}. What is prob of sequence gpl?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c - 1. Let a be f(5). Let s = a - 44. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -158, -85, -2, 97, 218, 367, 550, 773?\n\"Answer: b**3 - b**2 + 69*b - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-6)\/q)\/q)\/q**(-1)*(q\/(q\/(q**0*q)))**(-46) assuming q is positive.\nAnswer: q**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 63. Find the second derivative of 2*m**4 + m - 10*m + 7*m - 3*m**p wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 112*s - 109*s - o, -3*s = -3*o - 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247620 + -2969425\/12. Let v = h + -168. Is -1 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2916000*o**2 + 2160*o - 2\/5 = 0?\nAnswer: 1\/2700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8312647 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -3 + 2\/(-2). Suppose l = 2*w - w. Suppose t + 14 - 18 = w. Solve 4*a - 7 = -t*j - j, -6 = -3*a - 3*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/87 and 41\/23725587.\nAnswer: 688042023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4\/9, 1\/3, 2, -9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 282585195 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 12*i - 11*i - 3)*(-4*i**2 + i**2 + i**2).\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 386 + 4?\nAnswer: 38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3\/(6\/(-2)). Let w = 11 + u. Let r be (w\/(-25))\/((-2)\/20). Solve -r + 24 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 4*x - 3. Let n be h(-2). Let c be ((-2 - -51)*(-2)\/n)\/2. Solve s + p + c = 0, -4*s - 3*p - 31 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8988*i**2*u + 18*i**2 - 114 wrt u?\nAnswer: -8988*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a millennium in years?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 - 20 = 0. Let o be 0\/(t\/(-4))*1. Suppose o = 2*i + 2, 10*i = -f + 5*i + 83. Calculate the greatest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8327552 and 4450?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*g = 112*g - 11514692. List the prime factors of g.\nAnswer: 2, 7, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - -100?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -35*f. Let a(p) = 2139*p. Determine b(a(t)).\nAnswer: -74865*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8884, -8881, -8876, -8869, -8860, -8849?\n\"Answer: w**2 - 8885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69235657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*s**3 + 7*s**3 - 1 - 11*s**3 - 2*s + (1 + 2*s - 1)*(2*s - 2*s - 2*s**2).\nAnswer: 4*s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-49)\/(-980))\/(8\/60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 smaller than 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 22 = 18*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 7. Let h(s) = s - 1. Let g be (0 - -1)*(2 + 2 - -1). Suppose 3*v - 11 = 3*a - 8*a, 2*a = -g*v + 12. What is a*j(x) + 4*h(x)?\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 204\/21 + -10 - (-422)\/7. Calculate the remainder when -208*(-2)\/6*135\/s is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -3) + (-4)\/12*-9. Suppose m*i - 34 = -2*i + l, 3*l = 3. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = j - 7, 2*d - 4 = 0. Suppose 0 = 3*a - 4*l - 9 + 29, -2*l = -j. Suppose 4*h + a = 8. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2434*h**2*o**2 - h*o**2 + 54*h + 5*o**2 wrt h.\nAnswer: -4868*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 163? (a) 3 (b) -2 (c) 2 (d) -2\/3 (e) 2\/9 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(448\/(-234))*(-328)\/246.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, w: 8, e: 2}. Give prob of picking 2 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t**2 + 16*t - 5. Let d(c) = 32*c**2 + 40*c - 12. Let n(b) = -5*d(b) + 12*i(b). Factor n(z).\nAnswer: -4*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 443 - 7529\/17. Let o(c) = c**2 - 9*c + 17. Let s be o(6). Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 18377770?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 14979*q - 47. Let s be r(-7). What is s rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 43*t - 89. Calculate r(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-424)\/72*(-7065)\/(-785)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24081.71 milligrams in kilograms?\nAnswer: 0.02408171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 7135\/2 and 3569 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.59 from 318.3022.\nAnswer: 320.8922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-4))\/(18\/(-16))*-3. List the prime factors of (-160)\/(-200) + 192\/g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -268.52 + 9.22. Let y = s + 249. Let x = -10 - y. Sort 0, x, -0.5 in descending order.\nAnswer: x, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g*g\/(g*g**(-1\/3))*(g**(7\/2)*g)\/(g\/(g**(1\/2)\/g)) assuming g is positive.\nAnswer: g**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -254*v. Let n(m) = -m - 9. Give k(n(s)).\nAnswer: 254*s + 2286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*w + 20 = 0, 2*x = -2*x + 3*w + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (65 - -1)*4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/60*(-15)\/(-850)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r - 23. Let n be t(-8). Suppose 5*l + 3*v = n, -6*l - 2*v = -l - 39. Differentiate 8*f**3 - 7*f**3 + l*f**2 + 23 - 7*f**2 with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111020211012 (base 3) to base 5\nAnswer: 31321402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Let x = -1 + v. Suppose p = -2*d - 3*d + 90, 0 = 3*d - 5*p - 26. Solve 0 = -3*o + 4*f - 26, -x*o + f = d - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*i**3 + 315*i**3 - 125*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, 3\/2, -1\/3, 3\/4, 5\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/5 + -1 + 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v + 30. Let k(f) = f**2 - 4*f - 2. Let b be k(v). Let t be (-30)\/(-12)*8\/b. Solve 8 = 4*g - t*y, 2*g - 5*y = 3*g - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p**2 - 9\/2*p**3 + 6*p - 6*p**4 - 3\/2*p**5 + 0 = 0 for p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.433863307 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f**2 - 3*f - 4. Let o be 6 + 8\/4 + -4. Let w be o*(-4)\/24*3. What is the remainder when k(w) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43920 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 96890.\nAnswer: 193780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - ((sqrt(190)*-3 - sqrt(190))*-3 - sqrt(190))))\/sqrt(10))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 21 = -51. Let w(j) = 6*j**2 - j - 3. Let p(k) = -7*k**2 + k + 4. Let x(t) = 4*p(t) + 5*w(t). What is the units digit of x(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*h - 6063 = -5028 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 10 = j, d - 15 = 4*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -43046*j. Let o(c) = -c. Calculate o(v(g)).\nAnswer: 43046*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 220761 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 921 and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2 + 9*g + 3 - 8*g**2 + g**3 - 10. Let y(u) = -u + 14. Let t be y(7). Let o be n(t). Solve -5*d + 18 = v, -5*v + o*d - 22 = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 8*t + 5 - 6 + (2 + 1 - 1)*(0*t - 2*t + t) - 1 + t + 1 + 4*t - 2*t - 3*t - 3*t + 0*t - 5*t as d*t + n and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 853*a**3 - 596*a + 2 wrt a?\nAnswer: 5118*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(-2))\/(1080\/720)\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:11 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 22*t - 19. Let o be x(-6). Suppose -2*k = -j - 3*k + 7, 0 = o*j - 2*k. Find a, given that 0 - 2\/3*a + 5\/6*a**j - 1\/6*a**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(13) + 0)*-3 - (2 + 1 + sqrt(13)))*4 + 5.\nAnswer: -28*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(3\/36*2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:00 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 2*o - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-17 - -1) + (4 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + q**3 + 0*q**3 + 2*q**2 - 3 + 0 to the form y + h*q**2 + r*q**3 + n*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6348.358nm?\nAnswer: 6.348358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(200) + -5 + (3*sqrt(200) - sqrt(200)))*5.\nAnswer: -75 + 450*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**4*g**2 + 11*b**2*g**3 - b*g**3 - b*g - b wrt b.\nAnswer: 60*b**2*g**2 + 22*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 280*y + 3 - 1 - 227*y + 6 - 2*y**2 as u + r*y + q*y**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203*d**5 - 9*d**4 + d**3 + 9467*d**2?\nAnswer: 12180*d**2 - 216*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-22))\/(392\/(-1078)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 327*o + 141*o**2 + 327*o + 16*o**2.\nAnswer: -o**3 + 157*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.54 and 45.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.38 - -0.62. Which is the biggest value? (a) 3\/4 (b) -8 (c) v (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w - 13. Let c(n) = 2*n + 3. Let o be -3 + (-3 - 0 - -3 - -1). Let a(z) = o*h(z) - 9*c(z). Calculate a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in 0.2, 11, -0.351, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-12) + (-4)\/24. Suppose -5*w = 3*y - z*w - 17923, -5*w - 17963 = -3*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 28*t + g + 16 = 0, 0 = -t + 5*g + 26. Suppose -7*x + 4*x = -t*x. Sort -3, -4, -1, x in ascending order.\nAnswer: -4, -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 10)*(n - 2*n + 2*n)*(-n + 2*n - 3*n)*(0 + 1 + 0).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*h**2 - 69*h**2 + 72*h**2 + 37*h**2.\nAnswer: 249*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = -4*k - 45, 914521*k = 914519*k + l + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/6004 and 91\/6.\nAnswer: 18012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 196*v**2 - 408*v - 1. What is the remainder when j(-100) is divided by 74?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**8\/60 - 14*y**4\/3 + 163*y**3\/3 + 47. Let k(d) be the third derivative of p(d). Find the first derivative of k(l) wrt l.\nAnswer: -112*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c*c\/((c*(c\/(c**(-5)\/c))\/c*c)\/c*c)))\/(c\/(c**7\/c*c)))\/(c\/c**(2\/17)*c*c**(-1\/3)))**(-11\/5) assuming c is positive.\nAnswer: c**(-1397\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.763 + 217.788. Let f = a + -198. Let c = 0.025 - f. What is the closest to -1 in 5, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8))**2*3 + 1 + 3 - (sqrt(20)\/((-1*sqrt(110))\/sqrt(11)) + 1).\nAnswer: sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -558 at most -21\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 345? (a) -0.2 (b) 2\/15 (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * -2.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19890203, 39780411, 59670619?\n\"Answer: 19890208*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r - 3. Let h(p) = -5*p + 2. Let u(a) = 5*h(a) + 3*v(a). Let g(i) = 7*i + 45. Let t be g(-4). Let n(c) = -23*c - 3. Give t*u(f) + 6*n(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzwtssstsw. What is prob of sequence wwz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6316214 and 2.\nAnswer: 6316214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712484 divided by 1.\nAnswer: -712484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10382502 = -2*j, 2*q + 3*j = 3107890 + 1045102. Let x = q + 1803498. What is x rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p = 38*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3*sqrt(228) + sqrt(228)) + (sqrt(228)*1 - sqrt(228) - sqrt(228))*3)*-1)\/(1*sqrt(84)\/(sqrt(343)*4)).\nAnswer: -140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) 158 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j - 20. Let b be s(-6). Let v = b + -34. Suppose v*l - 94 = 50. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6538 - -176561\/27. Find the common denominator of z and -47\/228.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-318)\/(-39) + (-16)\/104).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8092146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/7, -3, 11, 4, -6\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 16 = 5*b, -b + 2*i - 4 = 0. Let m be 0 - 4\/(b*-1). Let x = 13 - m. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 10 = 5*l, 139*l - 135*l - 12 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25cb + -8?\nAnswer: 25c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -7*f - 11 - 25 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13220987 is divided by 236.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.3 (b) 1\/11 (c) 110 (d) -7 (e) -2\/11 (f) 0.0829 (g) 4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x**2 + x + 3. Let c be s(-5). Let y = 293 - -58. Let z = y + c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -532*64\nAnswer: -34048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032486 rounded to 4 decimal places?\nAnswer: 0.0325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**37 assuming f is positive.\nAnswer: f**(-333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749 = -23*d - 657. Solve -4*i + 21 = -n, -d*i = -4*n - 2*i - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/11*c**3 + 0*c + 2\/11*c**4 - 16\/11*c**2 + 0 = 0. Calculate c.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a - 5*k + 6, 0 = k - 2. Let q = -2 - a. Let s = q - -12. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3194072 and 2.05.\nAnswer: -6547847.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c. Let a be h(-1). Let j be -16*a*3\/(-2). Calculate the highest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 3*f**2 + 3*f + 16. Let o(s) = s**2 + s + 1. Let d(g) = -2*o(g) + p(g). List the prime factors of d(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 2:18 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.5 + 21. Let p = 31 + -17. Let n = p + a. What is the third biggest value in 2, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l + 16. Let r(k) = 12*k + 6*k - 169 + 169 - 19*k. What is -18*r(x) + 2*s(x)?\nAnswer: -2*x + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 7*x**2 + 4*x - 6. Let q be n(-6). Let h(u) = 2 + 0 + u**3 - 4 - 7*u**2 + 8*u. What is the remainder when 28 is divided by h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/40 - 15*x**4\/8 - 32*x**3 - 85*x**2 + 1610*x + 2. Factor g(l).\nAnswer: -(l + 1)*(l + 10)*(l + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 27)*(-2)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -100510?\nAnswer: -100453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1136 - -1?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*a + 18*a**3 - 30*a - 9*a**3 - 19 + 7 - 10*a**3 + 14*a**2 as d*a**2 + j*a**3 + b + l*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 2*p + 1. Calculate f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 0.9. Let h = -23 + 7. Let m = 11 + h. What is the second smallest value in m, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7 = 3*z, -4*i + 23 = -z - 2*z. Let x(p) = 4*p**3 - p**2 - p - 2. Is 24 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 20)*(3 + 7\/(-2)). Suppose -n*x = -17*x + 336. Let o = 97 - x. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -3*g + 5*g + 3*g + 0*g - 79 - 137*g**2 + 7*g. Find the first derivative of b(m) wrt m.\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/8*((-19992)\/(-77))\/(-51)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 - 7*u + 7. Let z be o(-7). Suppose -5*i + 10*i = -90. Let c = 39 + i. Solve -l = -m - z, -6*m + m - 2*l = c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose -14 = -4*u - 2, 2*v - m = 5*u. Let r(o) = -o + 15. Let p be r(6). Calculate the greatest common factor of v and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/2)\/6*2. Solve 0 = -t - 2*c + 2, -2 = -t + a*c - c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -82, 1\/3, 0.21, 0 in ascending order.\nAnswer: -82, 0, 0.2, 0.21, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 + 173 = -8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.75 + 1.7358. What is k rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 - 894 - 1762 = 239*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 10*b - 396. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194426777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 32. Let q be h(-6). What is the common denominator of 192\/q*(62\/18 + -3) and -143\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + h**2 + 101*h**3 + 65 + 0*h + 2*h**2 - 333.\nAnswer: 101*h**3 + 3*h**2 + 6*h - 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(76) + (sqrt(114)\/(sqrt(18)\/sqrt(3)) + sqrt(19) - sqrt(57)\/sqrt(3)*3))*6)**2.\nAnswer: 197676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 133, 135?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315600000 rounded to the nearest one million?\nAnswer: 316000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1409922163 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, y: 1}. Give prob of sequence yt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3594.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2085 + 125*k + 2085 to the form d + o*k and give o.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 726117 and 725918 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9*d - 12 = 0. Let n be -8*(d\/3)\/(4\/3). Solve 7 = n*l + 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -12*n**5 - 111021*n**4 - 258207660*n**3 - 6571739850*n**2 + 8553719832*n - 1723661289 = 0.\nAnswer: -4613, -27, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*r = 17, -3*p + 5*p - 18 = 4*r. Let a(w) = 4 + w + 0*w + 0*w + p. Let f be a(-5). Solve f = -0*b - 3*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14090.\nAnswer: 2, 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -9 - 6. Suppose n = -d*m + m + 179, 0 = 3*m + 3. List the prime factors of n.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809762880 rounded to the nearest 100000?\nAnswer: 809800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*i + k, 0*k - k + 21 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12*q**3 - 5*q - 45. Is z(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -179, -159, -125, -71, 9, 121?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a + 89250*a**2 + 2*a - 10*a - 89243*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -47, 0.68?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/26 - -25 - 20\/(-4 - 1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r + 4*s + 152, -5*r = -5*s - 390. Suppose 0 = z + z - r. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232 + -203020?\nAnswer: -203312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094569 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2039251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - f**4 + (2*f - f + 2*f)*(12*f**3 - 6*f**3 - 2*f**3) + 3*f**4 + 2*f**4 - 4*f**4.\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/8 - (-1)\/(-4). Let n = 4.9 + -0.9. Let o = -0.18 + -4.82. Which is the third smallest value? (a) q (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029670115 rounded to four decimal places?\nAnswer: -0.0297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/17)*f)**45\/(f**29\/(f*(f\/(f**(-1\/16)\/f)*f)\/f*f*f)) assuming f is positive.\nAnswer: f**(4289\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**7\/42 + d**6\/10 - 3*d**5\/10 - 5*d**4\/6 + 7*d**3\/2 - 9*d**2\/2 - 2*d - 29. Let t(o) = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15385 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -113. Let u(y) = 56. Let v(q) = -a(q) - 2*u(q). Let m(k) = k + 1. Let w(c) = 4*c**2 - 1. Let t be w(1). Let r be (0 - -3)\/t*-2. Give r*v(f) - m(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824 - 800 = a + 4*x, -73*x = 5*a - 14 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeegged. What is prob of picking 3 d and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Suppose o + 116 = v*o. Let s = -28 + o. Solve -p + 4 - s = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220.71 - -123.\nAnswer: -97.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, s: 8, e: 1}. What is prob of sequence set?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156976409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/152 and 25\/664.\nAnswer: 12616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from mfrlyvr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p - 6. Let a be h(-2). Let y(n) = -n + n + a*n + 2*n. Let b(s) be the second derivative of 5*s**4\/12 - s. Determine b(y(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**4 + 4*d**2 - 4*d + 9. Let w(v) = 255*v**4 + 2*v - v**2 - 256*v**4 - v. Let n(r) = j(r) + 4*w(r). Differentiate n(b) wrt b.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -40, 8, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-792651\nAnswer: 634120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**3 - 2*n**2 - 16*n - 3. Let t(r) = 41*r**3 - 9*r**2 - 65*r - 13. Let u(p) = -9*q(p) + 2*t(p). Find the second derivative of u(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -25*q - 147 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 902733226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466.803l to millilitres.\nAnswer: 466803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2 - 672\/(-288))*3\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 534599500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114*176\/2772*(-3)\/(-4).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {i: 2, q: 5, n: 3}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 20 - 1060*r + 347*r**2 + 1063*r - 7*r**2 wrt r?\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpd when three letters picked without replacement from {d: 6, o: 3, p: 1, z: 2, l: 4, u: 4}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 8\/(-3))*6. Let n be -6*(b + 14\/(-3)). Suppose -3*u - 3*f = 3, -16 + 5 = -u - 5*f. Sort 1, n, u in ascending order.\nAnswer: u, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-10))\/((3\/9)\/((-203)\/3654)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 6, q: 2, l: 4, k: 1}. What is prob of picking 2 m, 1 l, and 1 o?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1271887?\nAnswer: -2\/1271887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20576349983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*o + 2800. What are the prime factors of 2*(-13 + 9 - o\/(-4))?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, 0.4, 2, -0.1 in ascending order.\nAnswer: -3, -0.1, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3, -318, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901854105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmfmfmgefgmnnfmf. What is prob of picking 1 n and 1 e?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 16*x**2 - 3*x + 4. Is t(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809610.4478 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2\/8 + 18777*y\/8 - 640665\/4 = 0. What is y?\nAnswer: 69, 6190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/5 + -446\/235. Calculate the common denominator of -19\/141 and z.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15944111023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, r: 6}. Give prob of picking 2 z and 2 r.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, y: 2, t: 1, p: 2, x: 3, h: 3}. Give prob of sequence hxg.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznuhuznwuuwhd. What is prob of sequence udh?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139771218*g**4 - 2*g**2 - 6180*g - 332.\nAnswer: -3354509232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((((r**(-2\/11)*r)\/r*r)\/r*r)\/r))**(-31))**(3\/20) assuming r is positive.\nAnswer: r**(-1209\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504516 is divided by 620?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -249, -535, -935, -1449?\nAnswer: -2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6727427933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1844 - -149. Let s = -1254 + a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**4 + 2*k**4 + 5*k**4 + 2*k**4 + 2*k**2 - 2*k**2 + (-3*k**4 + 28*k**4 + 14*k**4)*(-50 - 34 + 68) as n*k**4 + o*k**3 + x + z*k + v*k**2 and give n.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 387 = -0*v. Let t = v - 35. Let y(u) = -u**2 + 6*u - 6. Let n be y(4). What is the greatest common factor of n and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 32*b + 14. Let a be u(0). Suppose -a*y = 82 - 138. Put y, -6, 3 in ascending order.\nAnswer: -6, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*u = 413*u - 20. Solve v - 3*r = u, 5*v - r - 2 - 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 16*p**2 - 14*p - 12. Let n be i(15). Suppose 4*v = 4*f + 8, v + n*f = 2*f + 6. What are the prime factors of 11\/(-1 + v - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -9*a + 4*a. Let c(d) = 2. Let j(k) = 2*k + 4. Let r(u) = 2*c(u) - j(u). Calculate r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8*r + 212 = 0. Let a = r - -96. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03126481461 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -4\/5, -32 in increasing order.\nAnswer: -32, -4\/5, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*c**4 + 95*c**2 + 3*c - 3565.\nAnswer: -48*c**3 + 190*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 17*u**2 + 18*u**2 + 6*u**4 + 13*u**4 to the form c*u**3 + q*u**2 + n + m*u**4 + a*u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4634867 is divided by 1699.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 148*w + 5476.\nAnswer: (w + 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/424 and -121\/2115936.\nAnswer: 112144608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23846478.15 rounded to the nearest 10000?\nAnswer: 23850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14479815.\nAnswer: 3, 5, 7, 239, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25a69 + 17?\nAnswer: 25a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 75 - -26c4?\nAnswer: 2759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 5*h - 8, 2*h = -5*s + 7. Let o(i) = -8*i**2 + 6*i - 1 - 6*i - i**s - 8*i. Determine o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 plus -28716.75762?\nAnswer: -28716.52762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1288\/(-184) - -1*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142926287381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Suppose -2*c - p = 11 - 4, i = -4*c + p. Let t = 8 - 13. Is c >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 5. Let d be j(0). Suppose g - 38 = -2*x, -4*g - 95 = -d*x - 0*g. Solve -4*u - 4*p = -3*u + x, -12 = -2*u + 2*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/108 and 25\/288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v - v**3 - 4 + 11*v + 2664*v**4 + 2*v**2 - 2584*v**4 in the form b + a*v**3 + j*v**4 + q*v + z*v**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125 - -39) + 21 - (-1 + (-2 + -6 - 2))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441, -430, -405, -360, -289?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/11 or -36?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435 = 82*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 11, -17, -1, -2, -107 in descending order.\nAnswer: 11, 4, -1, -2, -4, -17, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132488 is divided by 244.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -8, -9, 3, 823 in decreasing order.\nAnswer: 823, 3, 2, 1, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.9755 - -3.03.\nAnswer: -15.9455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139177746 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15\/9 + 28\/84\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-380527)\/148*(-12)\/4590. Let n = -1\/3145 - a. Find the common denominator of -119\/10 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29309 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -125 + 114 + -1 + 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -937\/14 - -135\/2. Let l = -853 + 855. What is the nearest to 2\/3 in 0.2, l, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a kilometer in meters?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, 7.3, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let z(u) be the third derivative of 7*u**6\/360 + 5*u**4\/12 - 6*u**2. Let a(t) be the second derivative of z(t). What is o(a(p))?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-1))\/2)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*2*5*2)\/((sqrt(270)\/sqrt(96) + sqrt(45))\/sqrt(5)))**2 + 5.\nAnswer: 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggrgrgrgrggnrrggrgg. Give prob of picking 1 n and 1 g.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-985)\/(-394)*(-132)\/(-15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 841 = y, 0 = -3*s + 2*y - 3*y + 511. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwkgwkkkwwkw. Give prob of picking 1 k and 1 w.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 - 2*r - 3. Let q(z) = -z**2. Determine -b(g) + 4*q(g).\nAnswer: -8*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r**2 + 5*r - 10. Is y(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -10\/3, 0.3, 0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 5. Let q be y(-3). Suppose q*s - 4 = 6. Let i(f) = -f**2 + 8*f - 8. Is 2 a factor of i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32522866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18930)\/9*(-9)\/6*1. Let s = k + -31439\/10. What is the common denominator of s and 85\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-1)\/(-1) - 13. Let c = 21 + g. Let d(z) = z**3 - z + 10. What is the least common multiple of c and d(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -43. Let y = v + 18. Calculate the smallest common multiple of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -31. Suppose -d*v = -23 + 31, u = -5*v - 69. Sort -3\/7, 3, u in decreasing order.\nAnswer: 3, -3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173129543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 907847.\nAnswer: 3\/907847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**8\/40 + 23*v**4\/12 + 19*v**3\/6 + 2*v**2. Let w(x) be the first derivative of c(x). Differentiate w(z) wrt z.\nAnswer: 168*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/63007636 or 0?\nAnswer: 15\/63007636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.02 (c) 3\/8 (d) 1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + -7 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432\/96*5\/(-45)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/1650)\/((-245)\/(-30) + -9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04824 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 0, f - x - 6 = -3. Suppose t + f = -2*t. Let v(a) = a**2 - 2*a. Let m be v(3). Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/21 + 11106\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3 - 6 - 15*o**2 + 4*o**2 - 16*o**2.\nAnswer: -27*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 20*g**2 - 21*g - 11. Let y be f(-19). Let a = y - -9. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14464 + -7190. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, e: 11, n: 3}. Give prob of sequence npp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1580835 or 1580878?\nAnswer: 1580835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -372823763.7169296 + 372824062. Let s = m - 443.2830593. Let o = s - -145. What is o rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 13*w**2 - 6*w + 2. Let o be p(-6). Suppose -152 = -5*x - o*j, 2*x - 4*j - 58 = -2*j. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 - (-99 + (212 - 65))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 1:41 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1172590 divided by -12\nAnswer: 586295\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/(-88))\/(19\/(98021\/134))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1554, -1102, -346, 714, 2078, 3746, 5718?\nAnswer: 7994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10971828, 10971824, 10971820, 10971816, 10971812?\n\"Answer: -4*k + 10971832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2176245 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 14. Let x be z(10). Let d(y) = -y**3 + 6*y**2 - 2*y - 2. What is the lowest common multiple of 18 and d(x)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/(152\/570). Which is the third smallest value? (a) -1 (b) 1 (c) 0.04 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -27. Solve -2*w + v*w = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327193.\nAnswer: 327193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let l be g(-4). Let t = -1820 + 19972\/11. Let w = t - -218\/55. Which is the nearest to 2? (a) -0.2 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 45497400 to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/135)\/((-4)\/6). Let i = -7 + 0. Let c = 12 + i. What is the closest to -1 in x, -4, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6587 - 6595. Is l smaller than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240214, 240213, 240212?\nAnswer: 240211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -161*f - 15*f**3 - 644*f**2 - 687*f**2 + 1285*f**2. What is the first derivative of h(b) wrt b?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(256))\/((sqrt(512) - (sqrt(512) - sqrt(512)*2) - sqrt(512))*4 + sqrt(512)).\nAnswer: -3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10921 divide 732515154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 5*r + 2. Suppose -3*z + 25 = 2*z. Let l be u(z). Suppose j + 7 = -l*s + 16, 5*s - 4*j = 3. Solve n + s*f = -14, 5*n + 0*f + 31 = -2*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294) + sqrt(294)*-1)\/(sqrt(2) + -2*sqrt(98)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 885007256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 21 + 3. Suppose -6*c - 25 = -c. Let x(h) = 3*h**2 - 11*h - 12. Let b(k) = -k**2 + 6*k + 6. Let n(i) = c*b(i) - 2*x(i). Determine n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488683919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.36563798 rounded to 3 dps?\nAnswer: -5.366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/30 and 8\/(-18) + (-93335)\/(-18810) - 4.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31355 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2 + 5*q - 1. Let s(t) = 2*t + 9. Let c be s(-6). Let a(w) be the second derivative of w**4\/3 + w**3\/2 - w**2\/2 + 261*w. What is c*u(v) + 5*a(v)?\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157830 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 4. Let u be m(6). Suppose -u*y = -2*y - 216. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60200, -62344, -65912, -70898, -77296, -85100, -94304, -104902?\nAnswer: -116888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4101853*0.108.\nAnswer: 443000.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -162, -321, -500, -705, -942?\n\"Answer: -b**3 - 4*b**2 - 140*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (18 + -12)*1\/2. Let u(k) be the third derivative of -1\/9*k**3 + k**2 + 0*k - 1\/9*k**4 + 0 - 1\/45*k**t - 1\/315*k**7 - 1\/15*k**5. Factor u(h).\nAnswer: -2*(h + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1296 by 8.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let t(g) = -1782110591*g**2. Give t(c(p)).\nAnswer: -7128442364*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 10. Let j(q) = -2*q**2 + 8*q - 77. Give 5*h(y) - j(y).\nAnswer: 2*y**2 - 13*y + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 775 + -814.3. Let d = g + 41. What is d rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(6\/57) + 3. Let w(f) = f**2 + t*f**3 - 7*f**2 + f**2 + f**2 - 1. Is w(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 less than 3776.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 + 5*f**3 - 2*f**3 - 2*f**3 - 4*f**3 + f**3 + (-f - f + 0*f)*(-f**2 + 1 - 1) + (-9*f + 39*f + 27*f)*(f**2 - 2*f + 2*f) + 3*f**3 - f**3 + 0*f**3.\nAnswer: 55*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 54, 155, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 45*m**3 - 14*m**2 - 9. Let s(b) = 22*b**3 - 7*b**2 - 4. Let f(c) = -4*o(c) + 9*s(c). What is the third derivative of f(y) wrt y?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(19\/6))\/((-145)\/((-9715)\/134))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*l - 7*l - 70*l)*(2 - 4 + 1 + 0 - 2 + 0 + (-2 - 3 + 3)*(0 + 1 - 3)) to the form y + i*l and give i.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -1 (b) -0.1 (c) 0.2 (d) -2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2306*x**3 - 8*x**2. Let w(s) = 1540*s**3 + 5*s**2. Give -5*r(g) - 8*w(g).\nAnswer: -790*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 425*f**2 + 35*f + 35. Let p(r) = -25*r**2 - 2*r - 2. Let a = -4309 - -4344. Determine a*p(d) + 2*g(d).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 7:28 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 109, 210, 333, 472, 621, 774?\n\"Answer: -i**3 + 20*i**2 + 20*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*y + 6, -4 + 0 = 2*v - y. Let s be (5 + 0)\/(-11 - (1 - 3)). Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + 2b5?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 + 18*k**2 + 21*k - 38 = 0. Calculate k.\nAnswer: -2, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-8) + -8)*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j + 10 = 2*p, 3*p - j - 8 = 0. Suppose -3 = p*l - 9. Suppose -6 - l = -4*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 593 + -126. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*(4636\/342 + -13 + 8\/18).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2. Let b be (-7)\/35*5\/(-3). Let r(f) be the second derivative of 0*f**2 + 0 + 2*f + b*f**3. What is z(r(l))?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 103, 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6910528 is divided by 1461.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61835838 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 14*i - 2. Let r(j) = -j. What is r(b(q))?\nAnswer: -14*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 7*o - 85. Let c = 21 + o. What is the third derivative of c*p**2 + 4*p**4 + 6*p**4 + 6*p**2 wrt p?\nAnswer: 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 21. Let l(z) = -z**3 + z - 1. Let q(k) = 5*k**3 + 4*k - 2. Let d(x) = v*q(x) - 2*l(x). Find the second derivative of d(j) wrt j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/q*q**(-6)\/q*q)\/(q\/q**(-1\/4))**(-4))\/(q**(2\/39)*q**(-4)\/q*q)**(1\/33) assuming q is positive.\nAnswer: q**(-220\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1925286000 rounded to the nearest one million?\nAnswer: -1925000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b75 - 5?\nAnswer: 2b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139\/6 - 287\/12. Which is the third smallest value? (a) 8 (b) -0.1 (c) -8 (d) -4 (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-1)\/(10\/(-16)))\/((-18)\/(-1170))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 31, -3, -2\/1697, 0.2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2. Let o(c) = 1 + 4*c**2 - c**2 + 1. Let a(b) = -16*b**2 - 11. Let d(p) = 4*a(p) + 22*o(p). What is k(d(f))?\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2307 and 0.2.\nAnswer: 0.4307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 8, 0.3, -52, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-7)*(-630)\/(-1800)*-28\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + m + 2. Let x be l(2). Let w be 1*(2 + -77)\/5. Which is bigger: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**2 + 797*p - 10598. Calculate a(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 913*o**2 - 14*o + 47. Let a be u(3). Let d = a + -3853. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywppwpphwpppwwpwwwp. Give prob of sequence yp.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + (8 - (-8 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54069, -53909, -53749, -53589, -53429, -53269?\n\"Answer: 160*h - 54229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(110) - (sqrt(110) - (sqrt(110) - 2*-2*sqrt(110))))\/((sqrt(90)\/sqrt(3))\/sqrt(3)) + -2.\nAnswer: -6 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 341 - -18158.\nAnswer: 18499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyiyn. What is prob of sequence yin?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 9*s**2 - 4*s + 11. Let y be d(-8). Let k be 1779\/y + 2\/(-7). Find the common denominator of 33\/14 and (2\/12)\/(2\/k).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.7 and -6.02?\nAnswer: 22.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 - 2*c**4 + 3*c**3)*(3 - 3 + c)*((-2 - 2 + 3)*(-5 - 1 + 2) - 4 + 5 + 0) + c**4 + 3*c**5 - c**4.\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -45. Let f = -60 - s. Let p(q) = q**2 + 11*q + 7. Give p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576021840 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*x**2 + 5289*x + 1323.\nAnswer: -3*(x - 441)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*v**4 + 9*v**3 + 20*v**2 + 11039*v?\nAnswer: 516*v**2 + 54*v + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23005 or 23009?\nAnswer: 23009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 18 = 5*y - 3*a, -4*a = 0. Let w(v) = -v**2 + 6*v + 3. Calculate w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -91.878?\nAnswer: 91.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 33 = -42. Suppose 0*f - g - p = -2*f, 2*f + 1 = -3*g. Which is the third smallest value? (a) 3\/5 (b) f (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 11*f - 17. Let u be (-800)\/60 - -1*2\/6. Give t(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 9:30 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87892 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6567.8229 + 6608.82. Let b = -41 + f. Round b to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -827, -3335, -7519, -13379, -20915?\n\"Answer: -838*j**2 + 6*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5460870 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 12*v - 40907. Determine i(-198).\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zmmzmmzzmmzmzzmm?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 863409031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 + 3*b + 4. Let d be q(4). Let y = -28 + d. Calculate the remainder when -8 + 4 + 24 + y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prpwwwpppprrrpprr. What is prob of picking 4 p?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 1, 1\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 6:36 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from dlsxslslldsxsxs.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 7. Let z = -6 + 10. Let t = -9 + z. What is the units digit of l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 4*u**2 - 5. Let j(w) = -w**3 - 2*w**2 + w - 1. Let l be j(4). Let z = 90 + l. Let h be q(z). Let p(d) = d**2 - 5*d - 1. Determine p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 4*r - 4. Let p(w) = 2*w**2 + 3*w + 3. What is -3*m(n) - 4*p(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -33. Let b be 2\/(-11) + 80\/p. Let a = 4 + b. Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -415, 81, 8, 24 in decreasing order.\nAnswer: 81, 24, 8, 0, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -25*c**2 + 580320*c - 15071420 = 0.\nAnswer: 26, 115934\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 144809?\nAnswer: 144807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n + 73*n - 98*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 30389940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 196378 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 2*i + 13. Let k(x) = x**2. What is c(t) + 3*k(t)?\nAnswer: 2*t**2 + 2*t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 32 = 10*j. Let s be ((-1)\/2)\/(4\/j). Suppose 2*n - 5*x = -s*n + 171, -5*n - 2*x + 255 = 0. What is the highest common divisor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6 + (102\/36 - 3). Let c(n) = -2*n + 6 - n**3 - 3 + 3*n + n**2. Let o be c(w). Solve o*h + 4 = -11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-1 + (1*sqrt(20))\/sqrt(4))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8765 - 5000. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 26 - 42 = 0. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.089 and -0.1.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128.8 + -128.5. Which is the second biggest value? (a) 1\/2 (b) 0.101 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/4 - 2*m**3\/3 - m**2\/2 - 1. Factor a(g).\nAnswer: -g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h\/h**(-12)*h*h\/(h\/(h\/(h\/(h*h*h**(-10\/7)\/h*h)))) assuming h is positive.\nAnswer: h**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3741 - -3849. What is the greatest common factor of v and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.46 + -1.7. Let a = i - -0.24132. What is a rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose 3*b = 9, n*b - b = q + 7. Sort q, 3, 2 in decreasing order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -40985114*i. Let g(d) = -15*d. Determine g(j(b)).\nAnswer: 614776710*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9 + 0.1. What is the third smallest value in 2\/9, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (13895\/(-21) - 9)\/(4\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2106)\/(-819))\/(2\/(-7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 595 and 31091.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2357*l - 1171*l - 1190*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 55*j + 1326655. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3522\/4*(-8)\/12. Let f = -145 - l. What are the prime factors of f?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2\/9 (b) 210 (c) -0.5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86953111 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*1\/2 - -9. Solve -w = 4*v - 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 4:43 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58008.\nAnswer: 2, 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2. Let t(o) = 23*o**2. What is y(t(m))?\nAnswer: 2645*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q - 5. Let t(s) = 10*s - 6. Suppose 4*h - 9 + 29 = 0. Let k(n) = h*t(n) + 6*u(n). Let c(w) be the first derivative of 2*w**3\/3 - 1. Give k(c(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 99 = 44. Let x = s + 260. Suppose -3 = -4*k + x. Solve -5 + k = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/191877 and -68\/6551229?\nAnswer: 45858603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/4)\/(-5))\/(20\/3900*52)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1023 - -300413?\nAnswer: 244340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -32, 12, 106, 268?\n\"Answer: 3*q**3 - 2*q**2 - 3*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.5, 5, -3\/4285 in increasing order.\nAnswer: -0.5, -3\/4285, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(-10\/7)*((u\/u**(-1))\/u)**(-4)*(u**(-3)\/u**(-6))**(-1\/25) assuming u is positive.\nAnswer: u**(-1317\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 55. Let x be w(-6). Let f(u) = -5*u - 5. Let l be f(5). Let y = l - x. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**2 + 332 + 2*l**2 - 1505 - 2266 - 7*l**2 as o + k*l + h*l**2 and give o.\nAnswer: -3439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a factor of 29909389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6069 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**4\/9 + 3188*r**3\/9 + 21848*r**2\/3 + 31040*r = 0.\nAnswer: -776, -15, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**4 - 39*q + 6*q**4 - 19*q**4 + 18*q**4 - q**2 - q**3 to the form r*q**3 + z*q + x*q**2 + c + s*q**4 and give z.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18568 and 16880.\nAnswer: 185680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6477 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12681 + -4164. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 6*s**2 - 7*s + 4. Let f(j) = j**3 + 4*j**2 + 4*j + 2. Let g be f(-2). Suppose -2*y + 22 = 4*m, 0 = m - 2*y - g - 11. What is r(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/7 - 100*x\/7 - 96 = 0.\nAnswer: -42, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 1311 - 1248. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 16*o + 46 = -b - 4*o, -1 = 5*b - 4*o + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -d16 (base 14) in base 2?\nAnswer: -101000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1358*g - 12219. Let a be k(9). Let n(l) = l. Let q be n(3). Solve 0 = 3*i + q*u - 12, 8*u - 10 = -3*i + a*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-6)*924\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 133643767, 267287537, 400931307, 534575077, 668218847, 801862617?\n\"Answer: 133643770*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 989835*h**2 + 979773327225*h.\nAnswer: h*(h - 1979670)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 18*z**2 - z + 16. Let d be j(18). Let t be (32 + -54)\/(3\/3 + d). Calculate the highest common factor of 88 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614, 1957, 3336, 4775, 6298, 7929?\nAnswer: 9692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*z**3\/23 + 12732*z**2\/23 - 4072890*z\/23 + 12903200\/23.\nAnswer: -2*(z - 635)**2*(5*z - 16)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1493 (b) -11 (c) 1 (d) 0.1 (e) -0.5 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091405 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26\/8)\/((-5)\/20). Let n = t + 9. Sort 2, n, 0 in descending order.\nAnswer: 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2949a3 + 11?\nAnswer: -294992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 2*z**2 - 1. Is l(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 856663.6 meters?\nAnswer: 85666360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.1. Let t = -4.7 - -5. Let k be 6\/10*(-2)\/3. What is the nearest to h in t, k, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 12:49 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + 61. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b - 414. What is the remainder when (-6)\/(-1*(-9)\/b) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -1\/4*n**4 + 1\/30*n**5 + 0 + 0*n - 8*n**2 - 1\/6*n**3. Let m(b) = -5*b**2 + 13*b + 2. Give 9*a(z) + 4*m(z).\nAnswer: -2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23219000 to the nearest one hundred thousand.\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*p + 1022, 0*p - 3*p = -2*g + 2088. Suppose -g = -9*l + 1779. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 19*g + 2780. Let s(x) = 7*x - 8. Calculate s(n(v)).\nAnswer: 133*v + 19452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -1 - (34 + -33)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009595 rounded to six decimal places?\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 + 1680*v - 1677 = 0.\nAnswer: 1, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -854 in -0.5, -12\/85, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.2. Let h(o) = -o**2 - 2*o + 3. Let c be h(-3). Suppose g - 1 + 0 = c. What is the biggest value in i, g, -4\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.62 - -4.7. Let p = i + -0.08. Let z = p + 7. Sort -5, z, 0 in decreasing order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*y - 4*p, -4*y + 5*p = 3*p - 54. Let r(g) = -g**3 + 7*g**2 - 5*g + 4. Calculate the least common multiple of ((-8)\/16)\/((-1)\/y) and r(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13410422 (base 5) to base 6\nAnswer: 2543553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2*(13\/(-26) - 3). Calculate the highest common divisor of y and 1568.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 166600 = 5*q. Suppose -3*n + 85942 = -2*c, 0 = -5*n - 0*c - 4*c + 143266. Let r = n + q. Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 12*w - 3. Let a be o(-6). Let x be -6*1*a\/(-2)*9. Let j be 33857982\/x + (-4)\/18. Round j to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2167315551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. Which is the closest to -1\/2? (a) -5 (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 2*h**2 - h + 1. Let q be u(1). Let z(g) = g**3 + 3*g**2 + 2. What is the remainder when 105 is divided by z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-285 - -239) + 176\/(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 16*z**2 - z + 21. Let f be q(16). Suppose -2*i = -4*c + 158, -3*c - 86 = -6*c - f*i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**2 + 30*t - 11. Let k(f) = f**2 - 6*f + 2. Calculate 11*k(d) + 2*u(d).\nAnswer: d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 19*p - 44 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) + 15\/2. Let a be 34\/c - (-4)\/18. What is the third derivative of -3*r**2 - 2*r**4 + 0*r**4 + r**a wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 8) + 3 + -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/2 - 1\/4. Let y be (3\/15)\/(22 - (-4032)\/(-180)). What is the closest to 6 in d, y, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let v = 6 - i. Suppose -5*k = 4*t - 2*t, -4*k - 18 = -v*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**5\/20 + s**4\/6 + s**2\/2 - 3*s. Let b be h(-2). Differentiate 0 - 2*c**3 - c**3 - b - 3 wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*w + 2020129 - 2029457 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15248436 and 58698.\nAnswer: 6522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3\/21 - f**2\/7 - 3*f\/7 + 124. Solve s(z) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1276\/252 + -5 + (-22)\/77.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1663, -1, -3, -5 in descending order.\nAnswer: 1663, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98981 + -33534. What are the prime factors of u?\nAnswer: 65447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -324 - -8754?\nAnswer: 8430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2934, 12275, 28028, 50199, 78794, 113819, 155280?\nAnswer: 203183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = g - 37 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -232*k + 33479. Give n(150).\nAnswer: -1321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14984 + 17071 - 28821)*(0*y - 5*y + 2*y) to h*y + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n + 1. Let w be s(-2). Let o(k) = -k**3 - 4*k**2 + 5*k + 2. Let v be o(w). Solve -4*c = 2*m + 4, -3*m + 4*c = -2*m + v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*x**2 + 3*x**3 + 7*x**3 - 5*x**2 wrt x?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*u = -39, -4 = 3*b - 0*b - 5*u. Suppose 4*t + t - b = -2*v, 3*t + 3*v = -3. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {u: 1, z: 1, q: 1, r: 2, j: 2, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let m(d) = -d**2 + 29*d - 99. Let h be m(4). Let k(l) = -l - 1 - 6*l - 2. Let t(y) = h*k(y) - 2*r(y). Find the first derivative of t(q) wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**6\/18 + 206*o**5\/15 + 1350*o**4 + 590000*o**3\/9 + 4625000*o**2\/3 + 12500000*o + 2232. Find t, given that q(t) = 0.\nAnswer: -50, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 1, d: 2, v: 5, b: 6}. What is prob of picking 2 d?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -w - 5*l + l, 0 = -15*w - 12*w + 26*w - 5*l + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + -3 - sqrt(2))*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(9\/5)*n*(n*n**(2\/21))\/n)**(-30))**(-1\/5) assuming n is positive.\nAnswer: n**(272\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20879 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l + 81. Let f be t(11). Suppose -f*z + 0*s + 28 = 5*s, 2*z - 4*s + 12 = 0. Factor -17\/5*p**z + 0 - 6\/5*p - p**3.\nAnswer: -p*(p + 3)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -3a089?\nAnswer: 3a094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 26 = -3*y, 23 = 5*l + 3. Let a(h) = -h**3 - 7*h**2 + 7*h - 7. Let s be a(-8). List the prime factors of s\/((y\/11)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 8\/225 (c) 1\/6 (d) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28 - 0.02. Suppose 0 = -0*n + 4*n - 3*v - 17, 0 = -n - 3*v + 8. What is the third biggest value in -2, n, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3504.005 to zero decimal places.\nAnswer: -3504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(7))**2 + 2)*3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-1) + -15)\/(424\/(-4876)) is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiwiifibbb. What is prob of picking 1 f and 1 i?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/40)\/((-30)\/80*(-2)\/(-4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52111662 - -65?\nAnswer: -52111564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20291?\nAnswer: 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008654 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2641\/10 - 262. Calculate the common denominator of -3 - (29*1)\/(272\/(-32)) and f.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + 45. What is the remainder when a is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let j be y*2\/(-4)*-10. Suppose -b = j*g - 8, -2*g - 4 = 5*b - 21. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2212\/(-42581)*11\/14.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -13 + 13. Suppose -2*w - x + 3 = m, 10*w = 15*w - 5*x - 30. Solve 0 = -2*k, 5*q - 4*q = -w*k + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -9, -24, -55, -108?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:29 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5060*a + 101455 = 526495 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**3 - 7*y**3 + 18*y**3 - 2*y**3 - 3*y**3 + 2*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -406*x + 402*x + 14, 2*f = 2*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 5*b**2 - 4*b - 1. Let q be r(3). Suppose -q*v - 10*v = -90. What is the lowest common multiple of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -9893 divided by 228\nAnswer: -9893\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00180653 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 1740728?\nAnswer: 1740717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 3819*q - 3819*q - 189 + 2*q**2 in the form d + j*q + b*q**2 + k*q**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4896 and 3264.\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2064 is divided by 1113?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.1, 0.192?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.4 + 7.2. Put -2\/3, 2\/7, s in descending order.\nAnswer: 2\/7, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -99, -4, 0, 24.\nAnswer: -99, -4, -1, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 less than 58526954?\nAnswer: 58527478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - f**2 + f - 1. Let d be t(1). Let u(j) be the second derivative of 22*j**3\/3 - j**2\/2 - 4*j. Is 16 a factor of u(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*h = 30, 0 = -5*o - 14*h + 17*h - 39 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 382.4 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v - 2. Let q be x(-3). Suppose 5*s = -4 + 24. Let c be (6\/(-8))\/(s\/(-64)). Calculate the greatest common divisor of q and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 4*s + 5*d + 65, -3*s - 182 = 2*d. Let z = -50 - s. Find the second derivative of -5*k**5 - 5*k**3 - z*k**5 + 5*k**3 - 2*k wrt k.\nAnswer: -300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2917150, -5834302, -8751456, -11668612, -14585770?\nAnswer: -17502930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 21*h + 5177 = 16*h, 3*i + 2*h - 5212 = 0. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*l - 3 + (2 + 2*l - 2)*(2 - 2 - 1) - l - 4*l + 2*l)*(-21*l - 25*l + 58*l)*(2 - 2 - 2)*(1 + 3 - 5).\nAnswer: -168*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217866 and 455538?\nAnswer: 5010918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 353693 divided by -3?\nAnswer: -353693\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-16 - -8) + 7 + (-117 - -115)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/99 and 32\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 773, 1765, 2757, 3749?\n\"Answer: 992*j - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*d = 91 - 1909 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-4) - (-2)\/4. Let i(n) = n**3 + 8*n**2 - 2*n - 11. Let q be i(-8). What is the tens digit of (t - -85)*q\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3)**4*l\/l**(-14)*l\/l**(-25))**(-2\/89) assuming l is positive.\nAnswer: l**(-106\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/18*6\/16. Let k = 1 + -4. Let l = 0.31 - 0.01. Which is the second biggest value? (a) l (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1727830 (base 10) to base 6\nAnswer: 101011114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1333214?\nAnswer: 1333211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytyxtycyc. Give prob of picking 1 y and 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e6 + -3?\nAnswer: -2e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - m + 19 = 0, 4*r - 5*m + 15 = -17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*x - 2 + 6 = 0, -x = 1. Suppose -4*l + b = 85 - 430, h*b - 170 = -2*l. Suppose 0*f + l = 4*f - g, 5*f + 4*g = 97. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*f - l - 20, 4*f + 5*l - 20 = 0. What is the second derivative of 78*s + 5*s**f + 45*s**5 - 3*s**5 wrt s?\nAnswer: 940*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/24 - 2*n**2 + 6*n. Let l(s) be the first derivative of b(s). Let t(q) = 5*q**2. Give t(l(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d - 371 + 74. Let v be ((-9)\/((-45)\/(-2)))\/(d\/(-15)). Suppose -k = -3*x + 4, -3*x + 5*k - 1 - 3 = 0. What is the closest to x in v, -0.3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -6, 2*k + 26 - 24 = -4*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from rpmpkr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -56*o - 215 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 7:35 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -137.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = -4*v + 140, 73 = 2*v - k. Let j(g) = -g**3 + 38*g**2 + g - 23. Let w be j(v). Solve w = 7*d - 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 1, p: 2, c: 1, z: 3, a: 3}. What is prob of sequence pzga?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - 215\/(-45). Solve d*i - 3 = 6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16454 + 723935\/44. Calculate the common denominator of 83\/140 and p.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*s + (2 - 3 - 1)*(-7*s + 2*s + 4*s) + (3 - 1 + 0)*(2*s - s - 2*s))*(-5 + 2 - 2) in the form t + i*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -59. Let x = 7 - b. Suppose -x = -2*y - 0*y. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 at least 2210\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4465 divided by -47?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:08 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3)*65\/((-2600)\/48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 5*u**2 - 3*u + 16. Let s(q) = 19*q**2 - q + 1. Let k(y) = 20*y**2 - 2*y + 1. Let p(a) = -k(a) + s(a). Give -i(v) - 5*p(v).\nAnswer: -v**3 - 2*v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(((o\/o**9)\/o)\/o)))**(-38) assuming o is positive.\nAnswer: o**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 = 21. Suppose 12*w = b*w + 15. Let o be -9 + 5 + (w - -4). Solve 29 = 3*h - 5*p, -h - o*h - 4*p - 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.82 and 2383?\nAnswer: 4337.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 134 = -1308*z + 1311*z, 3*y - 5*z + 201 = 0 for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97701 divided by -29?\nAnswer: -3369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, p: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 59*v**2 + 263*v - 27. Determine o(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-304)\/16 + 2 + 17. Suppose 2*j + 10 = 4*j. Suppose 0 = -j*w - 15 + 40. Solve 7*q - w*m = 4*q - 11, q + 3*m - 1 = n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7257\/59*(-2)\/(-1*21\/15*15).\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -11 + 1\/((-33)\/(-291)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 - 24*r**2 - 17*r + 44. Calculate o(-12).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n + 382. Let d be v(-19). Let t be (5 + -1)\/(-8)*140\/2. Is d at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m - 167*m + 51*m + 49*m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5217643102.\nAnswer: 2, 7, 1931, 193003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*2*(-5)\/130?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3323204 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-2)\/8*1). Suppose b - u = 2. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x + x + 229887 - 1197123. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343933659.\nAnswer: 3, 38214851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -15)*1 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 679*h**3 - 35*h**2 + 7*h - 7. Let k(x) = x**3 + 5*x**2 - x + 1. Calculate 3*c(g) + 21*k(g).\nAnswer: 2058*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s*s**(-1\/3)*s*s)\/(s**(1\/4)*s\/(s**(-4)\/s)) assuming s is positive.\nAnswer: s**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22952104?\nAnswer: 2, 7, 61, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132721, 265393, 398069, 530749, 663433?\nAnswer: 796121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(-4)\/(-8))\/(2\/4). Let f be 3\/(2*(-3)\/(-4)). Suppose -3*v - 4 = f. Is v <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 26816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 3705?\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = 3*v - 32*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 10:03 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -138 - -25?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76699245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 24 = -8*d - 31 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3979753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c + 67*c = -266 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -80, -118, -160, -206, -256?\n\"Answer: -2*c**2 - 28*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 86535, 86536, 86537, 86538, 86539, 86540?\n\"Answer: q + 86534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**21*s**(-3\/4))**(-7\/12) assuming s is positive.\nAnswer: s**(-623\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 601.132 centuries?\nAnswer: 60113.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 + 0*g**4 - 5*g**4)*(2 - 3 - 1)*(-4 + 4 - 2).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 4*i = 3*b + 112, 3*i = -2*b + 59. Let s = b + -15. What is the units digit of s + 1\/(4\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i. Let l = 4 + -1. Suppose 4*b - 5 = l. What is the units digit of q(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = -4*h, -3*p - 3*h - 5 = -2. What is p rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, k: 1, c: 14}. Give prob of picking 2 c.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:00 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40532 times 14?\nAnswer: -567448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57305210 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4475*l**3 - 14*l**2 + 15*l - 5. Let v(a) = 8949*a**3 + 25*a**2 - 27*a + 9. Determine -9*n(b) - 5*v(b).\nAnswer: -4470*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8731 (base 12) in base 10?\nAnswer: -242965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.03 (c) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(99) + 2) + sqrt(99) + 6*sqrt(99)*-2)*-1 - (5 + (sqrt(99) + -4*sqrt(99)*-1 - sqrt(99) - (sqrt(99) + 2 + sqrt(99))*3)))**2.\nAnswer: -432*sqrt(11) + 6417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 0. Let o be (1*-13)\/(t + 3). Calculate the highest common factor of o and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 3, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-1)\/(-2))\/((-2)\/(-36)) and (3*(-1)\/6)\/((-4)\/72).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33421 - 39379. Which is bigger: n or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 6. Let i be v(10). Put 202, i, 3 in descending order.\nAnswer: 202, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3108*i**2 + 2962*i**2 + 321*i**2 + 373*i**2.\nAnswer: 6764*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 7*a**2 + 2*a + 7. Let t = 22 + -15. Does 5 divide u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3957767 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 28. Let s = 7 - 3. Which is the closest to n? (a) 0.3 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 75532.67s?\nAnswer: 75532670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 824.687\nAnswer: -824.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:54 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.1, 28 in ascending order.\nAnswer: -0.1, 2\/5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 36 (c) 0.1 (d) -1.3 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/29)*a)\/a)\/(a\/(a**(-3\/13)*a*a*a))*(a**(5\/2)*a)**(-3\/11) assuming a is positive.\nAnswer: a**(14765\/8294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000099614 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18945750 divided by 3789150?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**7\/280 - m**5\/60 + m**3\/3 - 2. Let g(q) be the third derivative of r(q). What is the second derivative of g(v) wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 252 = -3*w. Let y be (((-2)\/(-20))\/(3\/w))\/3. Let v be (1\/(-4))\/(10\/24). Which is the third smallest value? (a) v (b) y (c) -0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 17*i**3\/6 - 6*i**2 - 4*i. What is the derivative of z(a) wrt a?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u + 20650. Let l = -379953\/92 - u. Let j = l - -4\/23. Which is the biggest value? (a) j (b) -2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184 + 183.8. Let g = 2.8 + -2.7. Let k = 0.3 - 0.4. Which is the closest to k? (a) y (b) 0.12 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, 2\/329, 0.4 in descending order.\nAnswer: 2, 0.4, 2\/329, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 98*-1*2\/(-4). Let c = -61232 + 61281. What is the highest common divisor of c and i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/10 and 15\/(-13)*50\/(-825).\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 228 - 22*q - 223 + 24*q - 16*q. Let a(l) = -27*l + 9. Determine 6*a(r) - 11*n(r).\nAnswer: -8*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = 98*i + 938. Let t(j) = -22*j. Let v(x) = -66*x. What is i*t(m) + 4*v(m)?\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -213\/16 greater than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:17 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 5*o**3 - 3*o**3 + 24 - 12 as s*o**2 + h*o + i*o**3 + n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (6 - 2) + 5 - (9 - 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25037 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6579902 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*i**2 - 29*i**2 - 1 + 11*i**2 wrt i?\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155547.\nAnswer: 3, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -15522411?\nAnswer: -15522420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 14 = 7*b. Suppose -b*l - 4*l + 24 = 0. Put l, -20, -5 in descending order.\nAnswer: l, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -394 by 197.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, -834, -1244, -1654?\nAnswer: -2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (-1*sqrt(99) - -5*sqrt(176)) + sqrt(121)\/(2*sqrt(891))).\nAnswer: -307*sqrt(11)\/3 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + (-5 + 0 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490719817 a multiple of 4486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 + -7) - (-16 + 18)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/30 and -53\/137313.\nAnswer: 1373130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 1. Let y(r) be the first derivative of r**4\/4 - 8*r**3\/3 + 5*r - 2. Let l be y(8). Suppose 5*t = -l - 0. Calculate z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 16) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437*h - 915957 = -32*h. What is the highest common factor of 567 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-28))\/((42\/80)\/((-843)\/1405))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 11271692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -74. Suppose v - 3*v + s = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/120 - 13*w**5\/60 - w**4\/24 + 5*w**3\/2 - 58*w**2. Determine h(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = 0, -2*r - 2*r - 5*n = 105. Let i = -2 - r. Is 7\/(14\/120) - i\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:40 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 241 = 3*x. Suppose -8*y + x = -y. Let r be (16\/40 - 11\/y)*-21. Solve 18 = -3*q + 5*p, r*p - 4*p = -5*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = v. Suppose -2*d + v = 2*d. Let l = -3 - d. Which is the biggest value? (a) 0.5 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.33309 less than -39?\nAnswer: -30.66691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 21*u. Let p(h) = 5*h**2 - 8*h. Let r(i) = -2*i**2 + 3*i. Let v = -48 + 45. Let y be (-15)\/2 + 13\/(-26). Let d(f) = v*p(f) + y*r(f). Give a(d(q)).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*6\/(-27)*-9. Sort 19, -1, w.\nAnswer: w, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43570 and 75780?\nAnswer: 330173460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780 divided by 52.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.42 + -26.42. Let g = -18 - v. Let k = g - 3. Which is the third biggest value? (a) -2 (b) 2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148224804 - 0?\nAnswer: -148224804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 418094839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = 11*y - 1977. Suppose 5*p + y = p. Is p greater than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 40, 0.2, 3, -10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186*u**2 - 35877*u + 4053.\nAnswer: -3*(u + 193)*(62*u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/10*(-10)\/(-4). Which is smaller: o or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/8)\/(228\/152)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 1740*s - 1736.\nAnswer: -4*(s + 1)*(s + 434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/45 and -68\/2745?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*u**2 + 241*u**2 + 241*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 - 11*x**3.\nAnswer: x**3*(x - 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a + 3*a - 9 + 4*a. Let u be x(-10). Let r be (-3)\/(-4) - 2\/4. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 14*o**2 + 4*o + 16. Let i be w(14). Suppose -3*g + i = 3*g. Suppose p - 15 = g. Solve 2*t + 0*t - 14 = -2*z, 0 = 5*z + 3*t - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4 + 1 - 4*a + 4. Determine n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2 - 11*b + 22. Let w(f) = -3*f**2 - 4*f + 8. Let k(r) = 4*s(r) - 11*w(r). Let x(y) = 1219*y + 1. Determine k(x(l)).\nAnswer: 1485961*l**2 + 2438*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1802\/7, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 21*u**2 + 3 + 2 - 9*u**2.\nAnswer: -30*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 6*p**2 + 5*p + 11. What is j(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 - 171. Let c = -1.47 - 0.23. Let x = -11.3 + c. What is the smallest value in x, -2, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 4*q. Calculate the smallest common multiple of (-88)\/8*1\/(-2)*4 and a(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 10976*u - 168. Let s(g) = 65*g - 1. Let n(w) = -i(w) + 168*s(w). Let d(t) = 2*t. Calculate d(n(p)).\nAnswer: -112*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 3*p - 189 = 0. Let o be (-7)\/(p\/12)*1\/8. Factor 0*v**2 + 0 - 1\/6*v**3 + o*v.\nAnswer: -v*(v - 1)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9045133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p + 7. Let y(u) be the third derivative of -u**4\/8 - 2*u**3\/3 + 26*u**2. What is 6*o(d) + 11*y(d)?\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/95*(-245)\/(-196)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -39, 86, -15, 7 in descending order.\nAnswer: 86, 7, -3, -15, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b + 8. Let r be k(2). Suppose 0 = w - f - r, 2*w - w - 20 = -5*f. Let o = 36 - 22. What is the remainder when w is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7125.5354 rounded to the nearest ten?\nAnswer: -7130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.5 and 0.2.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -49*y - 65. Determine a(-8).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 6*h - 10. Let j be l(8). Let f(g) = g**3 - 5*g**2 + 2*g - 18. Let u be f(j). Let o = -17 + u. Is 0 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2473870 + 28706\nAnswer: -2445164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*1*2)\/sqrt(10)*-4)\/(-2*(sqrt(4) + (sqrt(160)\/sqrt(4))\/sqrt(10) - (-2*sqrt(144) + sqrt(4)))).\nAnswer: 4*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(-24)\/56 + 13623. Suppose 0 = 3*s + 69*d - 70*d - 20419, -2*s + 4*d + t = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 - -92 - (0 + -3 + (13 - 19) - -36).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**6\/18 + w**5\/15 - w**4\/6 - 32. Determine m so that v(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 82*z**3 + 3*z**2 - 11*z - 8. Let s be y(7). Let w be (2\/(-5) - s\/30)\/(-1). Round w to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 3 = -20*w. Sort -3, w, 4, -5 in decreasing order.\nAnswer: 4, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8\/11*w**2 - 2\/11*w = 0. Calculate w.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + (-5 - (4 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 111*8\/6*1. Suppose -o + 3 = -47*m + 44*m, m + 6 = 2*o. Suppose v = o*k - 0*k - n, 3*k - 2*n = 152. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/7 + 184*r = 0. Calculate r.\nAnswer: 0, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3 - q**3 + 2*q**3 + 4*q**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 26*u - 12 = 28*u, 12 = 3*z + 2*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*n + 38 - 81 + 43 to the form h + g*n and give g.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-195)*-3*(-10)\/(-3)*(-35)\/10.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 2. Let u = 158 - 148. Suppose 0 = -2*m - 5*i - u, 2*m + 5 + 13 = -i. What is g(m)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1, -15 in increasing order.\nAnswer: -15, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7 + -3. Let f = -28.35 + 0.35. Let i = -28.4 - f. Which is the smallest value? (a) w (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -120*i - 4. Let z be d(-3). Suppose z = 7*m - 3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsjze. Give prob of picking 1 j and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/1260 - n**6\/120 + n**5\/90 + n**4\/24 - 5*n**3\/36 + n**2 + 94. Factor h(l).\nAnswer: (l - 5)*(l - 1)**2*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 542423022?\nAnswer: 542423012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x + 3*p = 27*x + 8, 0 = -4*x + 5*p - 28 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 64 + -8*5\/(10\/1). Calculate the highest common divisor of 420 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 17. Let q = t + -10. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*i + 14 = -522*i + 3*w, 0 = -i + 2*w - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-966)\/(-253))\/42)\/((-1)\/(-3))*-16?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122201002210000 (base 3) to base 5.\nAnswer: -4402113444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v - 11*v + 5*v**3)*(2*v**2 - 4*v**2 + 0*v**2) + 69*v**3 + 4*v**5 - 69*v**3 + (0 + 0 - v**2)*(0*v**3 + 3*v**3 - 2*v**3) + 5*v**5 - 4 + 4.\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/15*(-60)\/24\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2250, 4493, 6754, 9045, 11378, 13765?\n\"Answer: 2*x**3 - 3*x**2 + 2238*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686 divided by -26?\nAnswer: -1343\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 575, 13, -3, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (7 - -40 - 14) + (12 - 5) + -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 28*u - 36*u.\nAnswer: -70*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 + 153. Sort 39, 0, b in descending order.\nAnswer: 39, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -30. Let i = -4 - -7.5. Let m = i + -0.5. Sort m, -2, j.\nAnswer: j, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 10*d + 25. Let f be i(12). Let a = 3 + 8. What is the greatest common factor of f and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-44)\/(-24))\/(-11).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfcwcvxcpvf. Give prob of picking 3 c.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11022761?\nAnswer: 61, 180701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 7\/6*r**3 + 3\/20*r**5 - 20*r**2 - 1\/120*r**6 + 0 + 0*r - 1\/24*r**4. Give u(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*k + 2*k. Let x be (-3)\/(-2) + 2\/k. What are the prime factors of x\/((-3)\/24)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/(-4) + 3)*2*7. Let n = z + -110. What is the remainder when n is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3344641 + -3344659.999893. Let l = f + 19. What is l rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130301?\nAnswer: 229, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**(-2\/15)*p)*p)\/p*p**(4\/3)*p)\/((p*(p\/(p**5*p*p))\/p)\/p)**(-20) assuming p is positive.\nAnswer: p**(-2048\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -901.83 + 898. Let h = -0.17 + l. Put h, 3\/2, 5 in decreasing order.\nAnswer: 5, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 1, t: 1, g: 1, d: 1}. What is prob of picking 1 a, 1 l, 1 t, and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12089*n**2 - 12113*n**2 - 12098*n**2 - 12089*n**2 + 8*n**3 + 48389*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -68. Suppose n = 5*i - 31. Calculate the lowest common multiple of 20 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 33 = -4*t. Suppose t*g - 10*g = -194. Calculate the remainder when g is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = -5608 + 1048. Which is bigger: s or -287?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/1200 + h**5\/75 - h**4\/15 - 8*h**2 - 12*h. Let l(d) be the first derivative of n(d). Factor l(f).\nAnswer: -f*(f - 4)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -5*n**4\/24 + 2*n**3\/3 + n**2. Let g be 0\/(8 + -36) + 1*-3. Determine k(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73421115 rounded to 3 decimal places?\nAnswer: -0.734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51085751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11298 + 18.277208.\nAnswer: 18.390188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 0 (c) -1\/5 (d) -2 (e) 2624\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 30*d + 13. Let t be k(9). Suppose -5*l + t = -192. Let p(n) = n**2 - 2*n + 12. Calculate the remainder when l is divided by p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1725 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((((sqrt(99) - (sqrt(99)*-2 + sqrt(99)) - sqrt(99)) + sqrt(99))*-6)\/(3*sqrt(3)*-2))\/((sqrt(42)\/(1*sqrt(7)))\/(sqrt(288)*-2)))**2.\nAnswer: -50688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*z + 1502 - 2724 - 2520 - 306 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(-3*2\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/11))\/(j\/((j\/(j\/(j*j**3))*j)\/j)))\/(j\/(j*j\/(j*j**0*j))*j)**(8\/7)*(j**2*j*j**(-1\/8))\/(j**(-2\/5))**(-33) assuming j is positive.\nAnswer: j**(-25961\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - s + 5 = 0, -4*c + 3*c - 3*s + 15 = 0. What is the lowest common multiple of 50 + -33 + -2 + c and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 2. Suppose -3*y - 3 = -2*y, -c + r*y = -7. Let p be (1 - 2)*1*(-25 - -26). Sort c, p, 0 in descending order.\nAnswer: c, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1233 - -1250) + (51 - (-7 + 9))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let o be (5 - 6) + (-2)\/(-2). Let w(t) = 0*t - 2*t**2 + 0*t**2 + o*t. Determine u(w(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.86 + 16685156899\nAnswer: 16685156898.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -8\/13, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -20. Calculate the greatest common divisor of 56 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b - 1. Let a(p) = -7*p + 214. Let l = 539 - 510. Let z be a(l). Put b, -2, -0.4, z in ascending order.\nAnswer: -2, b, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17154*v**2 + 7677 wrt v.\nAnswer: -34308*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 23, 39?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 35\/6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7519042 (base 11) in base 10?\nAnswer: -13232848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.3 from 76.4.\nAnswer: 75.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*d - 35*d + 196*d)*(1 - 15*d - 9*d + 0 - 1).\nAnswer: -1728*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmlfpplllfmll. Give prob of picking 2 l, 1 p, and 1 f.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4113, 16483, 37085, 65919, 102985, 148283?\n\"Answer: 4116*u**2 + 22*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.29 - -0.5. Let k = -1.7 - -1.4. Let f = y + k. What is f rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -18*y**3 - 3*y**2 + 5*y - 3. Suppose 10 = 3*d + 23 - 16. Give r(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.00139, -0.3, 4, -1 in ascending order.\nAnswer: -14, -1, -0.3, -0.00139, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 5\/3592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h + 3. Let w(g) = 2 - h + 0 + 7*g - 2. Let j = 1 + 0. Determine w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 6*c - 2. Let o be b(5). Suppose 3*a = -r - 18, -4*a + 2*r = -a + o. Let n be (5\/2)\/(-1)*2. Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24 + 8\/12*3. Suppose -4*j + 10 = -n. Suppose 4*m + 2*q - 60 = 0, -2*m = -7*m + 3*q + 97. What is the smallest common multiple of j and m?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375 - 1122 - 21*q + 372 + 376.\nAnswer: -21*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2849532 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*v + 19 = -9*v, -v = -h + 4. Suppose -9*s - 4411 = -h*b - 13*s, 0 = -3*b - 3*s + 4416. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - v. Let c be z(-1). Suppose 0 = j - 1, c*j - 185 = -3*f + 2*f. Suppose -d = -41 - f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/20 + t**3\/6 - 11*t. Let j(w) = 3*w**3 + 12*w**2 - 13*w. Let x(q) = j(q) - 5*p(q). Factor x(l).\nAnswer: -2*l*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22a1015 (base 12) to base 14.\nAnswer: c5bd29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) -6 (c) -2 (d) 0.2 (e) -0.71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/15)\/(16\/20)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 - 0.12982. What is b rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4317, 4867, 6363, 9279, 14089, 21267, 31287, 44623?\nAnswer: 61749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 18*a - 11. Let s be x(8). Let m(c) = -c**3 + 5*c**2 - c + 2. Calculate m(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.1, -0.4, 0.1 in descending order.\nAnswer: 0.1, -0.1, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 4634 (c) 0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*k + 20, -5 = 15*u - 16*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/21)\/(2\/3). Let m(o) be the first derivative of w + 1\/4*o**2 + 0*o + 1\/6*o**3. Factor m(v).\nAnswer: v*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -309*m**2 + 9*m - 18. Let b(u) = -137*u**2 + 4*u - 8. Let r(o) = 9*b(o) - 4*x(o). Let t(w) = 5*w + 5 + w**2 - 1 - 4. Calculate t(r(s)).\nAnswer: 9*s**4 + 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5833, -6042, -6251, -6460, -6669?\n\"Answer: -209*i - 5624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -5*u + 3*d, -2*u + 12 = -3*d - 115. Suppose -3*f - 4*r + u = 0, -3*f + 46 = 2*r - 3*r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*y + y + 8, -3*k + 2*y + 26 = 0. Let w = 6.9 - 6.6. What is the closest to -0.1 in -0.3, k, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v + 45. Let u be k(-14). Let f be (-88)\/(-11) - 4 - 45*1. Let s = u - f. Solve 1 = 4*q - 5*h - 1, 0 = s*q - 3*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3696*i - 1 - 3505*i + 0 + 8 as c + s*i and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1944)\/594*-11 + -7*2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(2*x**2 - 2*x**2 - x**2)*(3*x + 3*x - 5*x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 + 5*b**4\/12 + 13*b. Determine r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2.6, 3\/28, 18, -1, 6\/7, 26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 766 and 118768683?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16*v\/(v**(2\/3)*v*v))\/((v\/(v**(-15)\/v))\/v*v*v*v**0) assuming v is positive.\nAnswer: v**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 6*r - 6. Let j = -10 - -5. Let c be x(j). Let k be (2 + c\/1)\/1. Solve -4*h + 12 = 2*t, 0*t - 4*t - k = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3695285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrqqrnrkzq. Give prob of sequence zk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3534 - -3876. Calculate the least common multiple of o and 12.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84881 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*v + 1 + 1, -2*v = 2*n - 18. Suppose 0 = v*a + h - 3, a - 5*a - 6 = -2*h. Solve w + a*w - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y**3 - 111*y**2 - 22*y - 117. Let k be h(-10). Let f be (-10)\/(-4)*(-11)\/(-10). Is f less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28179 divided by -101\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - 47?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o. Let q(i) = 6*i**2 - 11*i + 11. Let j(c) = -c**2 + 2*c - 2. Let d(l) = -11*j(l) - 2*q(l). What is d(s(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/32285? (a) -3\/4 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/245? (a) 2\/3 (b) 1\/2 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91672 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49781 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - (sqrt(63) + sqrt(63) + 4*sqrt(63))) + -5 + sqrt(63) - 5*(sqrt(112) + sqrt(7))*5*-6)**2.\nAnswer: -7380*sqrt(7) + 3812533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/3 - 703*g**3\/3 + 470*g**2.\nAnswer: -g**2*(g - 2)*(g + 705)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 7*q + 21. Let k be p(9). Let y(j) = 2*j**2 - 3*j - 4. Let b(x) = x**2 - 4*x - 5. What is k*b(g) - 4*y(g)?\nAnswer: -5*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -335 + 582. Calculate the greatest common divisor of 589 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 527*y**2 - 19*y + 73. Is v(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(24)\/sqrt(2)*6 + sqrt(12) + sqrt(192)*-2))\/(sqrt(294)*-1*6 - ((1*sqrt(294) + sqrt(294) - sqrt(294))*-5 + sqrt(294))))**2.\nAnswer: 9\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -932 + 899. Which is smaller: -35 or l?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -14788866?\nAnswer: 7394433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 - 3)*(0 - 3*y + 0)*(38*y**2 - 40*y**2 + 10*y**3 + 5 - 4).\nAnswer: 330*y**4 - 66*y**3 + 33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 5*w = 100, -7174 + 7172 = -2*i + 2*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10563, 56842, 138835, 256542, 409963, 599098?\nAnswer: 823947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 0*v**2 + 2*v**2 - 4*v**2 + 2*v**2 + 4*v**2 + (v**2 + 0*v**2 + v**2)*(2 - 2 - 2) + 5 - 4*v**2 - 5.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(847) + 0) + ((sqrt(14) - ((sqrt(14) - (sqrt(14) - sqrt(14)*-1)) + sqrt(14)))*-5)\/sqrt(2))**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 457*w + 4602. What is y(-10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 22*l + 41. Let c be a(21). Solve 4*g = 4*b + c + 12, -3*g = -b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 + 19*v - 5. Let c(m) = -3*m + 3. Let l be c(-2). Let s be r(l). Let h(w) = 24*w - 17. List the prime factors of h(s).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1432\nAnswer: 1\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5 + 0)*(-4 + 11 - b + 2*b) as c + u*b and give c.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x**(-5)\/x)\/x)*x**(-22)*x**(-23)\/(x**(-1\/36)\/x) assuming x is positive.\nAnswer: x**(-1331\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1695802\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 134 = -3*k. Let s be (4 - 10)*(-66)\/18. Let w be k\/(-35)*(2 - s). What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244409 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 157 = 22. Suppose 7 = k + 2*b - m, -4*k + 88 = -4*b. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479817, 479803, 479791, 479781, 479773?\nAnswer: 479767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23543434 (base 6) to base 2.\nAnswer: 10110101110100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*f = 6*p - 112, -2*p - 4*f = -66. Calculate the highest common divisor of 75 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 12 = 3*y. Suppose 105 = -y*o - o. Let c be (-804)\/21 - 6\/o. What is c rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 - 2*p. Let j be z(1). Let f be (1 + -3 + 3)\/1. Suppose 25 = j*t - f. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 11*s - 7. Does 7 divide a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -107?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-20))\/(21\/(-240)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 67. What is the nearest to -1 in -0.1, z, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - 60\/(-27). Suppose 4*n + 0 = -4. Let t be -14901 - 1 - n*w. Round t to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 2. Suppose -4*b = -9 - 11. What is the tens digit of y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 495436 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32\/340)\/(-4)*(18 + -4). Let n = 8\/17 - p. Let t be 4 + (2 - 3) + 18\/(-7). Put t, -1, 1\/6, n in ascending order.\nAnswer: -1, 1\/6, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 - 11 = 3*c, 2*r = -4*c + 4. Let l be (-42)\/(-8) - 1\/r. Find the second derivative of -13*o**3 + 2*o**l + 13*o**3 - 4*o wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 4. Let a(u) = u**2 + 14*u. Let t(f) = 10*f**2 + 146*f - 4. Let n(m) = 11*a(m) - t(m). Determine n(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*v - 3*v**2 - 4 + 48*v + (-47 + 5 - 71)*(2*v**2 - 4*v**2 + v**2).\nAnswer: 110*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o*o*o**(1\/4)\/o*o)\/(o**(1\/2))**(-1\/8)*(o**(-1\/3)*o\/(o*o**(-1\/5)))\/(o*o\/(o\/((o*o**(-1\/3)\/o)\/o)*o)*o**4*o) assuming o is positive.\nAnswer: o**(-199\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 6*v + 9. Let h be t(-6). Suppose h*s = 8*s - 4*g + 22, 2*s = -5*g + 32. What is the greatest common divisor of s and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 27606?\nAnswer: -27602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (2 + (1 + sqrt(1053) + sqrt(1053) + sqrt(1053) + 5 + sqrt(1053) - sqrt(1053)))*-4)*1)**2 + 5.\nAnswer: 7128*sqrt(13) + 152726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**(-5)*(o*o*o*o**2)**(1\/4) assuming o is positive.\nAnswer: o**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26986190 divided by -5397238.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:15 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 137*y**2 - 31*y - 95. List the prime factors of t(14).\nAnswer: 11, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4590093 divided by 1153?\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*b**3 - 7*b**3 + 24*b**3 - 94*b**2 wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 3\/7, -5\/4, 2.2, -51, 0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -620*b + 55897. Determine g(90).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 10*g - 17. Let q(i) = 8*i**2 + 14*i - 32. Let a(v) = 10*m(v) - 4*q(v). Give a(22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*z + 178*z + 21 - 91 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 421512?\nAnswer: 421511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 9*r - 5. Let q be h(9). Let o = q - -7. Is o\/1*(-6)\/12*-1081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4050 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**4\/g*g)\/g)\/g*g**(-3)\/g)\/((g**(-4)\/g)\/g**1)*(g**(-2\/5)*g**(-1)*g)\/(g\/(g**(1\/12)*g)*((g*g**6\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(-19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5262 and -59.\nAnswer: 31.0458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15137942683.00000151 - -15137942771. Let d = 0.074 - -87.926. Let b = z - d. Round b to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**5\/3 + 16*t**4\/3 + 20*t**3\/3 - 48*t**2 + 48*t = 0?\nAnswer: -3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*q + 7155 = -67*q. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 217. Let d = b - 64. What is the highest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, t: 12, p: 2}. What is prob of sequence pggg?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssr. What is prob of sequence rs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3296173 or -3296190?\nAnswer: -3296190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 40 = -7*q. Suppose 2*v - 239 = -y, -q*v + 3*v + 230 = -2*y. List the prime factors of v.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5296520 and 64.\nAnswer: 42372160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/65 or 1?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a - 161. Let x(d) = 32*d + 802. What is 11*q(r) + 2*x(r)?\nAnswer: -2*r - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -16 - 9. Factor s*j - 2*j**2 + 2*j - 6*j + j**3.\nAnswer: j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:15 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 3, t: 3, b: 2, p: 3}. What is prob of sequence tb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/18*-3)\/((-54)\/243). Solve 0 = p - 3*o, p + 3*o = d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 7 + 4. Let f = 20 + d. What is the greatest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14424*s**3 + 41246 with respect to s.\nAnswer: -43272*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27*1 + (-8 - -11). Is 6\/b - 282\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -6. Let s(a) = 12*a**3 + 14*a**2 - 23*a + 8. Let o(c) = 4*c**3 + 5*c**2 - 8*c + 3. Let q(t) = f*o(t) - 4*s(t). Determine w so that q(w) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*h - 7*b + 20, 0 = -4*h - b + 10. Suppose 11 = -h*q - r, 3*q + 1 = 2*q + r. Let g = 11 - q. Solve 6*f = f + g 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 260 and 29198520?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 136653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 6, 23, 60, 123, 218, 351, 528?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24291*l**3 - 5158*l**2 - 5168*l**2 - 2603*l**3 + 10326*l**2)*(-1 - 2 + 1).\nAnswer: -43376*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 356*j - 362*j. Suppose 2*h + 4935 = g, 3*g - 4*h - 6685 - 8116 = j. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 27 + 78. Let s = 38 + a. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/12, -12602, 138?\nAnswer: -12602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 13) to base 7.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 120178*w + 841235. What is i(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + 2*r)*(-3*r - 2*r + 3*r) + (-r - r + 0*r + (-1 + 3 + 0)*(1 - 1 + 2*r))*(-14*r + 11*r - 18*r).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/34 and -49\/58.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 60*h**2 + 137*h + 52. What are the prime factors of l(32)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -683993000 to the nearest one million.\nAnswer: -684000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9763*j + 97658. What is b(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207 + -182. Let i = v - 101\/4. What is the biggest value in i, -1, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 69*q + 1639. Calculate m(-23).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d. Let y be l(-1). Let s(g) = g - 6. Let x be s(6). Is x bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 16*g + 218. Let u be w(-24). Let b be (-33)\/7 - (-6)\/(-21). Calculate the remainder when (24\/b)\/(u\/(-65)) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + f - 5, -8*f = r - 12*f + 2. Solve 0*z - 2 = -r*z + 2*u, -4*z - 5*u = 32 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - 23\/3. Let m = -18 - 1. Let o = n - m. What is the greatest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**3\/6 - u**2 + 11*u. Give n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 8 = 43*p. What is the highest common divisor of 18 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:30 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 + a**3 + 1203797*a**2 - 3950856*a.\nAnswer: 12*a**2 + 6*a + 2407594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o - 5. Let s be l(4). Let v be (-10)\/(-9)*18\/s. Let k = v + -25\/21. What is the third smallest value in k, 1\/8, -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let h(j) = -2*j**2 + 3. Let i(n) = 2*n**2 + 8. Let g(k) = -k**2 - 1. Let m(f) = 4*g(f) + i(f). Let z(a) = -4*h(a) + 3*m(a). Give y(z(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0751308779 rounded to three decimal places?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -211, 0.3, -5, 0.4, 0, 2 in increasing order.\nAnswer: -211, -5, 0, 0.3, 0.4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 136*v - 137.\nAnswer: (v - 1)*(v + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k**2. Let c(j) = -5*j**2 - 3*j + 3. Let q(t) = 3*t**2 - t - t**2 + 0*t**2 - 3*t**2 + 1. Let z(u) = -c(u) + 3*q(u). Give z(y(o)).\nAnswer: 288*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7220414 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 8 - (-2 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 16*t - 1 + 5 + 31*t.\nAnswer: 47*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.8 - -12. Suppose -2*p + 7*p = 25. What is the closest to -0.2 in p, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 2 = -14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687 by -2.\nAnswer: -687\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.016? (a) -4 (b) -0.3 (c) 3\/130 (d) 240\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Suppose -b - b - 2*l + 4 = 0, -b = -2*l - 8. Let t(v) = b*v - 4*v - 7*v + 5*v. Calculate t(i(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214 and 22?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpz. What is prob of sequence zp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**2. Let a(p) be the second derivative of 7*p**5\/60 + 5*p**2\/2 - 4*p. Let m(y) be the first derivative of a(y). Determine 7*m(j) - 5*s(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 130343?\nAnswer: 130402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18 - 20 - 2*k**2 + 49 - 20. Let x(t) = 2*t**2. What is y(x(d))?\nAnswer: -8*d**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1319, 1012, 487, -268, -1265, -2516, -4033?\n\"Answer: -2*r**3 - 97*r**2 - 2*r + 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 1. Let r be m(2). Let z = r + -2. Which is bigger: 4\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 0. Suppose 7*y = 32 - s. Solve -3*l + 6 = -5*d, 3 = y*l + d - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 15*h + 17. Let l be f(-16). Is 5\/12 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 12 + 10 = 2*l, -3*k - 2*l - 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-14))\/(1\/(104\/4)). Suppose 4*k - 26 - 6 = 0. Suppose 18 = u - k. Calculate the highest common factor of r and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-6)*1*10. Let g = -10 - c. Suppose -3*r + m + 17 = 0, 2*m = 4*m - 2. What is the lowest common multiple of g and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 7}. Give prob of sequence ddsd.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-17)*o**(1\/4))\/(o*o**(-4))**(-2\/85))**(-2\/27) assuming o is positive.\nAnswer: o**(5719\/4590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5188, -20730, -46634, -82900, -129528, -186518, -253870?\n\"Answer: -5181*a**2 + a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(78)*6 - sqrt(78) - sqrt(78)) + -2*sqrt(78)*-4)*-3)\/((-1*sqrt(216))\/(sqrt(72)\/(-1*sqrt(8)))))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243127*r**3 - 4*r**2 + 9*r + 31550556 with respect to r.\nAnswer: 729381*r**2 - 8*r + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110001100111 + -100001110000?\nAnswer: -101010011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7406230 (base 8) in base 10?\nAnswer: 1969304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - y = -696812 - 2426554, -3 = y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 5\/3*p**3 - 9\/2*p**2 - 4 - 6*p + 1\/4*p**4. Let g be k(-6). Solve g + 8 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*y - 2*y, 5*p + 4*y = 39. Suppose p*u - 10*u + 36 = 0. What is the smallest common multiple of u and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.302586 - -1.69753. Let n = -46 - -112. Let r = n - h. Round r to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/21*(-1506)\/8 - 4. Factor -189*l**3 - 39\/2*l**2 - 6 + 42*l - h*l**4.\nAnswer: -3*(l + 1)**2*(9*l - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:22 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let j = 16 + -17. Let k = j - u. Sort k, 1, 6.\nAnswer: k, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153)*-3)\/(sqrt(9) + -1*sqrt(81)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 140 = 40. Let c(b) = -b**3 + 7*b**2 + 6*b - 9. Let x be c(8). Let h = x + y. Let o(f) = -f**2 - 5*f - 4. Give o(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685575769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i + 2, -i = u + 3. Let r(j) = 1614*j**2 - 24*j - 17. Is r(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -25, 0.06, 0.2 in descending order.\nAnswer: 0.2, 0.06, -1\/2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.01892940914 + -0.1357\nAnswer: 0.88322940914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 15*p = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9705 + 9704. Do -6.113 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b - 225. Let u(i) = -3*i - 231. Calculate 3*n(z) - 4*u(z).\nAnswer: 3*z + 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 84c9aab?\nAnswer: 84c9ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 17553?\nAnswer: -17553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5626*o**2 + 290*o - 290. Let k(c) = 58*c**2 - 3*c + 3. Let t(n) = -580*k(n) - 6*x(n). Let j(i) = 2*i. Give j(t(l)).\nAnswer: 232*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0 - 2)*27. Let f = o - -47. Calculate the remainder when (-580)\/(-15)*3\/2 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2218752\/71904*14\/(-6)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - 110021200?\nAnswer: -110022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:25 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 65*a + 6. Is u(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 2. Let k be p(2). Let w(f) = -4*f - 3*f + 5*f - 2. Let g be w(k). Solve -3*s + 4 = 4*x + 28, s - 2 = g*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906035 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55879.8l?\nAnswer: 55879800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 193, 1, -39 in increasing order.\nAnswer: -39, 1, 26, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 15*u + 30 = 4*x + 194, 4*x - 4*u - 53 + 193 = 0 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788117965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 5. Let t be b(0). Let c = 43 + t. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4 - 177*i**3 + 343*i**2 + 1221*i + 700 = 0.\nAnswer: -1, 4, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/168*(-14)\/4. Find the second derivative of 91*l**2 - 22*l - 176*l**u + 85*l**2 - 43*l**3 wrt l.\nAnswer: -258*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6394.7 + -6392.7. Let q = -0.15 + 0.1. Which is the nearest to q? (a) f (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(24)\/sqrt(2)*2)\/(sqrt(6)*-2*-6) + sqrt(18)\/(sqrt(81)\/(sqrt(27)\/sqrt(3)))*3.\nAnswer: -1 + 19*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2543.4 + 2544.4. What is the second biggest value in 0.2, -378, i, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20))\/(563\/(-5630))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8390*o + 5223*o - 1 - 11215*o)*(0 + 2 + 0) to the form c + d*o and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669299 is divided by 2078?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/152 + 601\/1064. Which is the nearest to 1? (a) 2\/13 (b) -0.02 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 4*l**3 + 9*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1535.2 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Suppose 0*m = q*m. Let a be (m + 0)\/(0 - 2). Solve p + p - 10 = a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and 0.2.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*f**2 - 112 + 39*f**3 - 158 - 34*f**3 + 125*f = 0.\nAnswer: -27, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - u + 10. Let x be z(0). Let v = x + -6. Solve -2 = -g - 5*h, -v*h - 3 = -2*g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -4. Let u = -8 - w. Suppose 0*v - 1 = v. What is the closest to v in -2\/3, 3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 358 = -2*q, 6*s - 455 = s + q. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 3:19 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**14)**20*(f**(-4)*f*f)\/(((f\/(f\/(f*f**(2\/9)*f)))\/f)\/f)*(f*f**(1\/4))\/(f**(-2)*f*f) assuming f is positive.\nAnswer: f**(-35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -213, -270, -311, -330, -321?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1300*z - 3907*z + 1304*z + 1308*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 715 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 5*a + 5*a)*(-4 + 5 - 2) + (3*a - 10820 - 4*a + 10866 + (a + a - a)*(0 - 5 + 3) + 20 - 20 + 9*a)*(-1 - 2 + 5).\nAnswer: 10*a + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73, -307, -697, -1243?\n\"Answer: -78*i**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 326.97 - 333. Let a = o - -6.09. Let n = 187\/6 - 31. What is the third smallest value in a, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.47 times -7\nAnswer: -3.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -4. Let r = -728 + 13829\/19. Let i = r + -7\/76. Put i, 3, j in ascending order.\nAnswer: j, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a**2 + 24*a - 260. Calculate p(0).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by 6?\nAnswer: 205\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12164778 to the nearest integer?\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1091 - 5356. What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 594266*o**2 - 796495*o wrt o.\nAnswer: 1188532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 94. Let x = -23 - o. Which is the second biggest value? (a) x (b) 3 (c) -5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2485407 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 23167?\nAnswer: 301171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-28) - (-7 - -7)\/(-5). Put g, -3, 1339 in ascending order.\nAnswer: -3, g, 1339","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 935\/8 + -117. Let u = 1.25 - 25.15. Let n = u - -24. Which is the closest to 0.1? (a) -0.3 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 92 = -0*y - 3*q, -3*y + 4*q + 286 = 0. Suppose -b + 4*t = -34, 23*b - 28*b + y = -2*t. Calculate the least common multiple of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/4 in -0.03, 193\/5, 37, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 327535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -13.18. Let r = -0.08 - d. Let p = -0.5 + r. What is the biggest value in -0.2, p, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 176 = -4*l, -4*n = 15*l - 2148 + 1488 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 20. Solve 10 = -f*l + 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6136 + -6135.8. Which is the smallest value? (a) f (b) 2\/5 (c) 34 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 4*sqrt(70)*5)\/(sqrt(110)\/sqrt(704)))**2.\nAnswer: 197568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 775763 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 + 36*m + 78. Is n(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/42 + -2 + (-9)\/(-252).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4664 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -327\/5 + 65. Suppose 23 = -5*g + k, 1 + 7 = -4*k. Let z be 13\/(-28) - 14\/49. What is the third biggest value in p, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -14. Let c be (0 - (-3)\/(-6))*-4. Suppose 0 = 4*u - k*r - 376, c*u - r - 67 = 123. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 1:09 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 37. Let q(h) = -h - 3. Determine q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 437303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323679545 by -4.\nAnswer: -323679545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 11*i - 143 = -5*f, 2*f + 76 = 2*i. Calculate the lowest common multiple of 8 and (-4)\/(-2 + -2) + i.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1325 and 2332?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 8:17 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 630163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78964 and 6234.\nAnswer: 236892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbdbdd. Give prob of picking 1 b and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u + 4. Let t(q) = -97*q - 3 + 70*q - 12. Determine -15*n(b) - 4*t(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - 3*b - 3. Let f(g) be the first derivative of -g**3\/3 + g**2\/2 + g - 4. Let q(t) = 3*f(t) + l(t). Let h(s) = s. Determine q(h(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4089.7 * -0.8\nAnswer: -3271.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - (4 + -5) - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42860\/32142 - (-1)\/(-2)*(-56)\/(-21). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 665 = -34*u. What is the highest common factor of u and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**4 - 797*z**3 + 2*z**2 + 2866*z wrt z?\nAnswer: 12*z**2 - 4782*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*i - 16 + 12*i - 23*i)*(-i + 1 - 3*i + 2*i).\nAnswer: -4*i**2 + 34*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + q + 6 = 0, -r + q + 3*q = -10. Suppose -2*f + 5*p = -0 + 4, r*p - 13 = -3*f. Let m = 9 - f. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1\/61, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4710, 5308, 6928, 10080, 15274, 23020, 33828?\nAnswer: 48208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 8*i - 2*i**2 - 5 - 3*i + 0*i**2 wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 3. Let r(b) = -b**2 + 4*b + 11. Let o be r(8). Let t = -23 - o. What is w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11800.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -46. Which is greater: 4.2 or r?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.177 - 0.096. Let s = r - -5.019. What is s rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 8*b**2 - 37*b - 87. What is k(-12)?\nAnswer: -1947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159757769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 84, 166, 248?\n\"Answer: 82*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46.9, 4\/9, 3283, -3 in decreasing order.\nAnswer: 3283, 4\/9, -3, -46.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1278056, 2556096, 3834136, 5112176, 6390216, 7668256?\n\"Answer: 1278040*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230362361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.95668773 + -1.9566. Round x to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, z: 4, g: 2}. Give prob of picking 2 z and 2 l.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -474691\/6276 + -234\/523. Suppose 3*o - o = -152. Let d = o - b. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**7\/105 - p**6\/6 + 8*p**5\/15 - 2*p**4\/3 + 11*p**2\/2 - 15. Let b(s) be the second derivative of r(s). Solve b(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21502873*j = -21502864*j - g - 670, -5*g = -4*j + 316 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4544*c - 66516 + 33264 + 33252)*(0*c + 4*c - 6*c).\nAnswer: -9088*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 2280?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -20. Let m be 4 - (c + (2 - 0)). Find the second derivative of 0*s**5 - 12*s**5 - m*s + 13*s wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/4 + 7*l**3\/6 + 7*l**2\/2 + l. Let b be m(6). Let q = -2 - b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, and 2 c when four letters picked without replacement from {c: 2, b: 1, i: 4, s: 9}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrggggggggggggggggg. Give prob of picking 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438475 is divided by 2094.\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/4, -1\/2, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4*(-3)\/(-6))\/((-1)\/47). Suppose -4*s = -5*x + 414, -2*s + a = x - 0*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, 3, -1, -8, -4, -2 in descending order.\nAnswer: 220, 3, -1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 0.04 (c) -1 (d) 1914 (e) 0.2 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -1 - 13\/11. Let v be ((-30)\/(-25))\/(126\/(-60)). Which is the smallest value? (a) u (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*n + n + 5, 5*k = 2*n - 1. Let f(p) = -4*p**3 + 2*p**2 + p. Let h be f(k). What is the third derivative of 5*j**2 - 3*j**3 + 4*j**2 - h*j**2 wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146717 and 3657.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r - 9. Let k be p(4). Suppose -k*b = 94 - 361. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 20*p**4 - 3265*p**3 + 7275*p**2 - 4835*p + 805 = 0?\nAnswer: 1\/4, 1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*m = -3*t + 15, 2*m - 6 = -4*t. Let n = 279 - 277. What is the smallest value in n, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -276425 (base 8) in base 12?\nAnswer: -48559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/3 + 4 - (-15)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 - 28 = 7*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.2, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2\/11, 9 in ascending order.\nAnswer: 2\/11, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = 3*o. Suppose -7*n + o = -s - 3*n, 0 = s + 4*n - 15. Suppose 23 = 4*l + 11. Solve -r - j = 3*j + s, -l*j = 3*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6662028514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46156 (base 8) in base 13?\nAnswer: 8ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 - -2 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:12 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, -268, -114, 4, 2, 1 in descending order.\nAnswer: 118, 4, 2, 1, -114, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Let r = -11 + 16. Suppose -2*j + y*j + 80 = r*k, 0 = k - j - 16. Calculate the highest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, -0.1, -70, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -7 + 3. Sort j, -5, -1.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -682, -1398, -2114, -2830?\n\"Answer: -716*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 120.\nAnswer: -19\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75180*k - 75179*k = a - 8, 3*k + 19 = 2*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -61*c**4 - 7*c**3 - 70*c**2 + 7*c. Let p(x) = 20*x**4 + 2*x**3 + 23*x**2 - 2*x. Let w(b) = 7*p(b) + 2*q(b). Find the third derivative of w(y) wrt y.\nAnswer: 432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213878309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75.24171 + -118.2403. Let x = 562 - 605. Let f = x - q. Round f to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 14) to base 10.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**6\/8 + 9*o**5\/20 - 32*o**2. Find the third derivative of d(k) wrt k.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -124*t + 979. What is the units digit of q(-93)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 1c886?\nAnswer: 1c883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**3 + 30146550*n**2 - 60293085*n + 30146540 = 0. What is n?\nAnswer: 1, 6029308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -0.6. Let w = -1 + i. Suppose -4*c + 6*c = 10. What is the closest to w in c, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 962 = 20*b. Calculate the smallest common multiple of b and 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 61. Let p be h\/(4 + 0) - 4. Find the third derivative of -12*s**2 - 2 - p - 9*s**3 + 4 wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-5)\/((-10)\/6). Let p = -7 - v. Let r = -131 - -135. What is the closest to p in r, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1881 and 463055688.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 5*k + 64. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -62\/11 (c) 4 (d) 17 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/437 and 15\/46?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 + -108. Which is the nearest to -1? (a) l (b) -3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8695974 and 1398306.\nAnswer: 8274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 21. Suppose -v + 3*v = 3*d - 20, 0 = i*d - 2*v - 28. Calculate the greatest common divisor of d and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*a**2*b**2 - 43*a*b**2 - b**2 wrt a.\nAnswer: 186*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 - -1.8. Let k be 12\/(-54)*(0 - 1). What is the third biggest value in w, -0.3, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34482 and 317840298.\nAnswer: 4926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j + 8*j - 6*j + (-j - 2*j + 4*j)*(2 - 8 + 3).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1506, 3, -5\/4, 7, -4\/9 in descending order.\nAnswer: 1506, 7, 3, -4\/9, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17424?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/28 - (-30)\/7. Suppose y*d = -2*k - 14 + 34, -k + 6 = d. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31330 times 0.4\nAnswer: 12532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-1\/2)))**(7\/4)\/(f\/(f\/f**(1\/4)*f))**36 assuming f is positive.\nAnswer: f**(209\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Suppose 4*a - 5*l = 27, 0 = -a + 3*l - 8*l + 38. Solve 4*c - 1 + a = j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**2 + 1 - 1 - 31*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l - 24. Suppose -27*d = -22*d. Suppose 2*c - 6 + 12 = d. What is the smallest common multiple of y(c) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/2)\/(2\/(2 - 0)). Suppose -2*s = 4*n - 94, -3*n = -8*n + 20. Suppose o = -i*o + s. What is the remainder when o is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 349*n + 7528. Calculate y(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ataaataatattaa?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-600)\/444*(-999)\/54.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 8*x. Let y be 7\/x + 6\/2. Let w be (6\/(-2))\/((-12)\/(-16)). What is the third biggest value in w, 5, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.9 and 1936336 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.6394 rounded to one decimal place?\nAnswer: 37.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 2*c**5\/15 - 17*c**4\/6 + 160*c**3\/9 - 64*c**2\/3 + 758. Factor v(a).\nAnswer: 2*a*(a - 8)**2*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(45) + sqrt(5))*3 - sqrt(200)\/sqrt(10) - (((sqrt(50)*2)\/sqrt(10) - (sqrt(110)\/sqrt(2) + sqrt(55))\/sqrt(11)) + -4))**2.\nAnswer: 104*sqrt(5) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51619 = -2415*q + 158*q - 56717 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 454113 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/35 (b) 5 (c) 1\/28 (d) 1\/7 (e) 6 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*z - 0*a + 5*a, 7 = 5*z - a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(2*(-3)\/12). Let q = v + 8. Let s = q - -3. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14236773 (base 8) to base 6.\nAnswer: 153100231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -928 + 928.007562. Round s to four dps.\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*f - 2, 3*z + 0 = -3*f + 3. Suppose 0 = z*b - 2*b - 4*k - 20, -4*b + 2*k = -10. What is the units digit of 2 - (b + 0\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15619793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1020)\/(-1224)*(-204)\/(-20)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 14960709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:24 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**3 - 3*y**2)*(2 - 2 - 4759*y + 4565*y).\nAnswer: 388*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h - 77*h - 101 = 49*k, 2*k + h = -3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r. Let z = -0.16 - -0.46. Which is the closest to r? (a) -1 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7275*i**3 - 86*i + 31.\nAnswer: -43650*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 5*l, -3*p - 5*l + 47 = -4. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 1. Let h(x) = -2*x**2 + 7*x + 38. Let q be h(6). Differentiate 14 - q - 8*i - n wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:44 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 11*q + 1. Let i be (2 - 6)\/(2\/(-5)). List the prime factors of y(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2690 + 2690 - j + 10*j**2 + (-j - j + 0*j)*(1 - 1 + 2*j) - 2 + j**2 + 2 - j**2 - 1 + 1 - 2*j**2 - j + j.\nAnswer: 4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(832)*-2 - sqrt(832)) + -2 - sqrt(832) - (-2*sqrt(832) + sqrt(832) + -4)) + 1)**2 - -3*(-1 + sqrt(832))*5*-6)*1.\nAnswer: -864*sqrt(13) + 7587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5524849 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l - 34*l + 8*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 193*s - 479 - 1281 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 49300944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 137 - 46 + 351*f - 48.\nAnswer: 351*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 + -628\/3. Which is greater: p or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 991685226 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 13. Suppose w + 0*w - 5*k - 15 = 0, 2*w - 38 = 2*k. What is the smallest common multiple of q(7) and 448\/w - (-2)\/(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 4:37 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 3369460248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 60*g**2 - 320*g - 110. Determine z(6).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o**3 - 513*o**2 - 875*o + 7463. Determine y(48).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2, a: 4, h: 1, f: 3}. What is prob of picking 1 w and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -494.\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 3456*n + 545792.\nAnswer: 4*(n + 208)*(n + 656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {q: 2, j: 2, r: 2, e: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdddjjdjjjjj. Give prob of picking 2 j and 1 d.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -140 - 8*v**2 + 3*v**2 + 140. Let d(l) be the third derivative of l**4\/24 - 2*l**2. Determine d(i(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 89. Suppose d = -0*i - 2*i + 5*b - 13, 3*b = 9. Calculate the common denominator of -99\/2 and 6\/15 + 3*1\/i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 7 - 56. Let i be 2\/((-16)\/40*-5). Let d = i + x. Calculate the least common multiple of 14 and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(475)*-1 + (-2*(sqrt(475)*-2 + sqrt(475)) - sqrt(475)) + sqrt(475))**2*-5.\nAnswer: -2420 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 14 = g - 4*b, -6 = 3*b. Suppose g*s = -9, 3*s + 41 + 0 = 2*x. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + 5.09. Let k = 2 + 0. Let d = k - x. Sort 0.3, -2\/13, d.\nAnswer: d, -2\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*u + 89*u - 42*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -18. Suppose 5*v - 2*w = 40, -2*v + 6*w = n*w - 27. Solve -4*o = -o + v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 - -157 - 35\/(-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29034 divided by -6.\nAnswer: 4839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26e (base 15) to base 5\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooqq when four letters picked without replacement from {o: 4, q: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -22. Suppose 4*d = -5*q + 185, -3*q = 4*d + 61 - 236. What is the remainder when d is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19984.377 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*l + 1023, -2*a + 9*l + 413 = 4*l. Suppose -3*m + m = -a. Suppose 15*c - 11*c - 140 = 0. What is the remainder when m is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 0*s - 8 = 5*m, 4*s + 8 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*l + q, -q = -33*l + 37*l + 13. Which is the closest to 0? (a) 1 (b) 2.6 (c) l (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6893*r**3 - 373392*r - 373395*r + 1120185*r - 373398*r.\nAnswer: 6893*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -27) + 17 + -10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4 + 39880*h**3 - 319084*h**2 + 797744*h - 638208 = 0.\nAnswer: -39888, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4120, 5608, 8088, 11560, 16024?\nAnswer: 21480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -6. Is j at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/1251 - 5842\/1251. Suppose 5*y - 69 = -19. Suppose -4*r + y = -6*r. Is r less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 638 and 287042?\nAnswer: 3157462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/1)\/(20\/(-222)). Let m = -122 - o. Suppose u + 4 = 3. Which is greater: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1109 + -2.99.\nAnswer: 1106.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 13*b + 4. Let w(g) = 2*g**3 + 17*g**2 + 13*g + 34. Let u be w(-8). Calculate f(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffppffffpppf. Give prob of sequence pp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 25. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*n - 8, 0 = -2*n + h - 1 - 7. Let f be 25\/9 + n\/(-18). Let v(r) = 4*r - 15. Let o be v(4). Is f at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*b + 15527, 8 = 5*b + 3. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*t + 0)*(-2*t - 2*t + 3*t) + t**2 + 2*t - 2*t + (t - 3*t + 4*t)*(t - t + t) + 0 + t**2 + 0 - 3*t**2 + 0 + 0 + 2*t**2 + 1 - 1.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1626067 and -0.4?\nAnswer: 0.2373933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 4, -2, -3, -4 in decreasing order.\nAnswer: 4, -2, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2480553976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggglllgg. What is prob of picking 1 g and 2 l?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from eiiiojoeoiionoon.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 - 247116*j + 247115 = 0. What is j?\nAnswer: 1, 247115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 139*m + 34 - 55 as u*m + o and give u.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 13*c**3 - 14*c**2 - 15*c - 7. List the prime factors of a(13).\nAnswer: 11, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 4*o**2 + 3*o)*(14 + 16 - 7)*(3 + 3 - 7)*(-1 + 0 - 2) as z + q*o**2 + d*o and give q.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -179. Calculate the highest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 1, r: 2, j: 2, q: 1, a: 1}. What is prob of picking 1 m, 1 q, and 1 r?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 53346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49984 divided by 142\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 57 = -3*t, -52 = -4*t + 2*w + 2*w. Suppose 9*a - b = 6*a + t, 5*a + 4*b - 21 = 0. Solve 2*p = 5*k - 10, a = 3*p - 4*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 381936640.51?\nAnswer: -381936641.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 67?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 + -0.45. Let j = 120.2 - 120. Which is the nearest to j? (a) 1\/4 (b) -1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 71*m + 10. Let z be l(-24). Suppose -z*q - 166 = -438. Solve -5*v + r = -q, v - 2*r = -6*r - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 3}. What is prob of sequence pv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484788848?\nAnswer: 2, 23, 1317361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 30*t + 51. Let i be d(6). Suppose 2*a + 2*m - 522 = -0*m, 0 = a - 5*m - i. What is the remainder when a is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z - 1. Suppose 1 - 5 = 4*n. Let m be 3\/((-6)\/14)*n. Is c(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 7*c - 7. Let f be a(-7). Let n be 18\/63 + (-278)\/f. What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*z = -0*h - 51, 0 = 4*z + 4. Suppose 3*w + 5*d = 7*d + 10, h = 4*w - 4*d. Let f(q) = -q**3 + 5*q**2 - q - 3. Calculate f(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-32))\/((-114)\/10640*91)?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c0 - 2e?\nAnswer: -3ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16be4 (base 16) in base 12?\nAnswer: 45ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (24 + 10 + -56) - -59?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 3, -4\/9 in decreasing order.\nAnswer: 3, -4\/9, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 20 - 11 + 6986*x**2.\nAnswer: 6986*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 142 = -29*z - 39*z. Determine j, given that -2\/5*j**z - 1\/5*j + 2\/5 + 1\/5*j**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134787\/43 + -3135. Calculate the common denominator of 46\/3 and z.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2331.53217 - -2085408.\nAnswer: 2083076.46783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:19 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 28*g - 1061 - 461. Solve 27*b + g = -55 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.275785 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1bcbd (base 15) to base 10\nAnswer: 90628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 15*w - 16 = 0. Let u = 95\/356 + -3\/178. What is the fourth smallest value in w, -0.2, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 32. Let o = w + -4. Let x(c) = 2*c**2 - 46*c - 85. Calculate the remainder when x(25) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.18 and -54.\nAnswer: -63.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22293.676 rounded to the nearest 100?\nAnswer: 22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1071, 0, 4\/17, -0.029.\nAnswer: -0.029, 0, 0.1071, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10744 and 13413963.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1529 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1908)\/(-396) - 2\/(-11). Suppose -14*l = -y*l - 117. Put -3, l, -4 in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 8*h**2 - 11*h + 4. List the prime factors of p(-9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 613?\nAnswer: -613.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 179200.9 and 0.5.\nAnswer: 89600.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102) + 5*(sqrt(102)*-2 - sqrt(102) - sqrt(102)) + 3*(sqrt(102) + sqrt(102)*-2) + sqrt(102)))\/((2*sqrt(72)*6)\/(sqrt(144)\/sqrt(192))).\nAnswer: -7*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 - 40*k**3 - 517*k**2 - 2502*k - 3240 = 0. What is k?\nAnswer: -20, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0)*-8 - 3*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215 + -214.878. What is u rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.00099 to 0 decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsss when four letters picked without replacement from ssssxssxsxx.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + m - 43 = 0, 19*h + 3*m = -19256 + 19462 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 3*h**2 + 3*h**2)*(h - 2 + 2 + (-h + 3*h + 0*h)*(-2 + 2 - 2) + 3 - 3 - 2*h - 84*h - 808*h - 665*h).\nAnswer: -4686*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(272) - (sqrt(272)*3 + -5)) + (-2*(-2 + sqrt(272)) - sqrt(272)))**2.\nAnswer: -360*sqrt(17) + 6879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (25 - -2)\/((-15)\/10). Let p be 561\/(-15) + j\/30. Let t = 81 + p. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2177*r**3 + 8*r**2 - 362*r. Let n(x) = -5*x**3 - 4*x**2 - 2. Let f(d) = -2*n(d) - z(d). Find the second derivative of f(t) wrt t.\nAnswer: -13002*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -36. Let v(s) = -152*s**2 + s. Let k be v(-1). Let u be 3\/(-9)*0 - k. Calculate the greatest common factor of u and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.252? (a) 5 (b) 38 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/3 - 67*o**2 + 3400*o - 10000\/3 = 0.\nAnswer: 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1855 and 33655.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*k - 1187*k + 3013*k + 44*k**2 + 3134*k - 5*k**2.\nAnswer: 39*k**2 + 4701*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r. Let t = 41 + -39. Let y(a) = 24*a**t + 24*a**2 - 49*a**2. Determine n(y(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 * -6.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 3*q**2 + q - 2. Let v(x) = -x**2 - 5*x + 1. Let c(p) = -3*p**2 - p. Let k be c(1). Calculate the lowest common multiple of m(3) and v(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from ttpkkqthkh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/5)*v**(2\/3)\/v)\/(v**(-2\/15)\/(v**(-2\/3)*v))*((v\/(v\/(v**(-2)\/v)))**(-37))**(2\/7) assuming v is positive.\nAnswer: v**(3491\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*q + 3, -2*o + 2*q = -2*q - 6. Suppose o = -m + 2. Let c be 10\/20 + m\/(-6). What is the nearest to 1 in 1, c, 1\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 p when four letters picked without replacement from {p: 1, y: 2, q: 3, x: 9, j: 2}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2654 + 2629. Let s(r) = -r - 1. Let f be s(-2). Which is the biggest value? (a) f (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 + 367*x**2 + 546*x + 20. What is g(-182)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*n - 106*n - 72*n)*(-2*n**2 + 4*n**2 + 0*n**2 + (0*n + 3*n - 4*n)*(0*n + n - 3*n) + 0 + 0 - 3*n**2 - 4*n + n**2 + 4*n).\nAnswer: -242*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 80906 (base 13) to base 14\nAnswer: 5db79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 4 + 4 - 490*a + 347*a to h + k*a and give k.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*a - 1116*q + 1113*q, 5*a - q - 13 = 0. Solve 0 = a*m + 2*m + 2*i - 31, -14 = -m - 3*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -30 - -51 - (5 + 4 + -1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 - (-8 - 9)) - 29\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-945)\/30))\/(4 - 36\/8)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -88. Solve t*m = -5*i - 6, -8*i = -4*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -3.2, 3\/8 in decreasing order.\nAnswer: 3\/8, -0.08, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13.244. Let g = -244 + 244.14. Let f = g + d. What is f rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -40*d + 12. Let m be y(-10). Let g = -290 + m. Suppose g = 3*t - 133. List the prime factors of t.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysuz when four letters picked without replacement from {u: 2, y: 4, s: 2, i: 1, z: 7}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -607*l**4 + 7*l**2 + 16*l wrt l.\nAnswer: -14568*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 22*r + 16. Let l be i(18). Let t = 93 - l. Suppose 3*m - 11 + t = 0. Solve -8 = 4*o - 2*o - 2*z, -5*o + m*z = 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46691019 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83058*f**3 - 4*f**2 + 6*f**2 - 86960*f**3.\nAnswer: -170018*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -11.7. Let j = 0.51 - 0.01. Put j, u, 6\/5 in decreasing order.\nAnswer: 6\/5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107 - 1100 = -474*d + 163. Let m = -4.4 - -0.4. Sort d, -2, m.\nAnswer: m, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*k*p + 148699606*k + 4201439*p wrt p?\nAnswer: -49*k + 4201439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 508*a**2 + 131 - 132 + 70*a**2 to the form i + r*a + n*a**2 and give n.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**2*w**3 - 17*c**2 - 12*w wrt w.\nAnswer: 21*c**2*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5497 or 1432?\nAnswer: 1432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6101 + 6087. Sort 0, 25, j, 5, 3.\nAnswer: j, 0, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 77, 39, -43, -163, -315, -493?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 584957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 52 + 51 - 103 - 20*m + 41*m**2 to b + x*m + q*m**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -1\/4 (c) 11\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 81014 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 31. What is the hundreds digit of ((-394)\/i)\/((5\/5)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 8, e: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-5)\/(180\/(-42)))*7\/(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3) + -2*11)*-3. Let v = 74 - z. Calculate the remainder when 47 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/20 + 5*q**4\/12 + 2*q**3\/3 - 3*q**2 - 7*q. Let h be r(6). Let u = h - -35. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.61 (b) -1 (c) -0.1 (d) 150 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 358193814 and 16302.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -27. Suppose y + 20 = s*x, 2*y - 5*y = -4*x + 50. Let g be 2*4\/((-8)\/y). Calculate the greatest common divisor of 110 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39 + 14)*(-1 + 0). Solve 0*a - 4*o + 20 = 2*a, f = -a + 5*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75311532 to two decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**42\/w)**3\/(w*(w*w**(6\/19))\/w)**(-48) assuming w is positive.\nAnswer: w**(3537\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**3 + 17*j**2 - 2*j - 17. Let k(t) = -4*t**3 + 9*t**2 - 2*t - 9. Let q(o) = -5*k(o) + 3*l(o). Solve q(g) = 0.\nAnswer: -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23170, -46352, -69534, -92716, -115898, -139080?\n\"Answer: -23182*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5720 is divided by 272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -a - 4*a. Suppose 5*b - 3*q = 48 + 45, -5*b - 4*q + 86 = 0. Let i(u) = 8 - b*u + 7*u + 10*u. What is i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 287538727 or 287538726?\nAnswer: 287538727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 13 - (0 + -2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77104 and 3686962?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*o**2 + 103*o**2 + 9*o + 0*o - 7*o to the form k*o**2 + h + i*o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = m + 8 - 0, 0 = 3257*m - 3261*m - 8 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)*w\/((w*w**(1\/7))\/w))**(-4\/7)\/((w**(-3\/4)\/w**(-2\/5))\/((w\/(w\/((w**6*w)\/w*w)))\/w*w*w*w**(-5))) assuming w is positive.\nAnswer: w**(8969\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 20026?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b0a - -11?\nAnswer: -ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 338*q**3 - 2808*q**2 - 4248*q.\nAnswer: 2*q*(q - 177)*(q + 2)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3193368 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -421667*u*x**3*z - u*x**2 + u*x*z - 24244*u*x - 42*u*z + u + 3*x**3*z - 7*x**3 - x**2 wrt x?\nAnswer: -2530002*u*z + 18*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + w - 5*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314\/9 - -1597\/45. Which is the nearest to -25\/6? (a) 1 (b) 2 (c) 0.3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/8*38\/(-95)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68822 > -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 915 divided by -305\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j. Suppose 0*g - 5*g = 5. Let d(c) = -c**3 - c**2 + 2*c + 5. Let y(m) = g*d(m) - n(m). Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100404163 (base 7) in base 6?\nAnswer: -325010531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137436941\/22 - 6240721. Let o = -6411 + r. Calculate the common denominator of o and -9\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1705?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4. Let a(u) = -u + 3. Let z be a(2). Let l(i) = -i. Let h(s) = z*x(s) - 2*l(s). Suppose -f - 1 = f - 3*g, 0 = 2*f + 2*g + 16. Calculate h(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 + 3*f**3 + 11*f**3.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 9:15 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from doo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 665*n**3 + n + 2*n + 3704*n**3 + 832 - 2*n + 966 wrt n.\nAnswer: 26214*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:36 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 73\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124730.\nAnswer: 2, 5, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1052 or 148415\/141?\nAnswer: 1052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t + 1 - 1 - 10*t + 2 in the form y + a*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622665*s**2 + 2*s**3 + 114 - 114 - 494616*s**2.\nAnswer: 2*s**3 - 1117281*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21713*a**2*l**2 - 114161*a**2 wrt l.\nAnswer: -43426*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 2*u**2 + 0*u**3 + 2*u**3 as q*u**3 + b + s*u**2 + f*u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*n**3 + 0 - 40*n - 34\/3*n**2.\nAnswer: 2*n*(n - 20)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 274 + 76 = 0. Let c = 92 + k. Let p = -5 + 24. What is the greatest common divisor of c and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 284*d + 45. Is c(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, 1 s, and 1 h when four letters picked without replacement from szxcxrrsrrssrrsrrrrh?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.242 and 5.\nAnswer: 1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -1042032410?\nAnswer: 1042032421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 - 5 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*5*((sqrt(39)\/sqrt(3) + 0 - -1*sqrt(637)) + sqrt(1573) + (sqrt(1573) + (sqrt(1573) - sqrt(1573)*-1))*2 + sqrt(1573)))**2.\nAnswer: 26956800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1472 and 0.1.\nAnswer: 147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 76 = 8*y. Suppose y*x - 4*x = 4. Let p be (15\/(-10) + 2)*x. Which is the closest to 4? (a) -1 (b) p (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 3763?\nAnswer: 3760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or 42?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) -5 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - u + 8 = 0, d - 2*u = -1219 + 1212 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 - 5*p**2 - 22*p**2)*(479*p - 126*p + 423*p) to the form h*p + q*p**2 + d*p**3 + i and give d.\nAnswer: -19400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2110*m*v**2 - m*v - v**3 + 6*v - 1 wrt v.\nAnswer: -4220*m - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-456)\/4*((-5)\/2 + 1). Let u = 302 - n. What is the remainder when u is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8*3434\/51. Is x >= -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a - 15 = 0. Let k = 12\/79 + 5968\/237. Let y = k - 25. What is the biggest value in y, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 462652987960 from -8.\nAnswer: -462652987968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 2 + (0 + -4*(sqrt(1539) + -2 + sqrt(1539)))*-4)*4)**2.\nAnswer: -1069056*sqrt(19) + 100913728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 14*d**2 + 19*d + 40. Let z be l(14). Round z to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-7) + (-225)\/(-35). Solve -3 = -8*i + n*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 508158849?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 121156602554?\nAnswer: 121156602553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 10 - 2. Suppose -i*u = -2*u. Suppose k - 4*k + 353 = 2*p, 3*k + 4*p - 355 = u. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*y + 15*y - 7*y**3 + 4*y**3 - 4*y**3 - y**3 + (2*y - 2*y - y**3)*(5 - 1 - 2) - 3*y**3 + 2*y**3 - y**3 - 3740 + 3738 + 4*y**3 - 7*y - 79*y**2 + 4*y.\nAnswer: -8*y**3 - 79*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80579\/1860 - 7\/620. Suppose -4*o = -12, -3*o = -2*q - 0*q + 77. Let g = q + h. Is 1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 24*d + 28. Let m(x) = 37*x**2 - x - 1. Does 9 divide m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*45525.2\nAnswer: -455.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t + 0*t**2 - 9*t - 43 + 2*t**2 + 30*t. What is the remainder when 1\/(2\/67)*2 is divided by x(-19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -1\/4, 0.5, -119\/15, -5, -2\/17, -2?\nAnswer: -119\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3 (c) 2 (d) -534 (e) 4 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoggggooogsoo. What is prob of picking 1 s and 2 g?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 + 42 - 120 - 129)*(-b - 2 + 2) as k*b + h and give k.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 + 2*z - 12. Let o be s(5). Sort -5, o, 4, 1.\nAnswer: -5, o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3970 + -3826. Is 57 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 228.2, -3, -38067?\nAnswer: 228.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6311*x**2 + 362083*x?\nAnswer: 12622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**4 - 34*v**3\/3 - 7*v**2\/3 + 34*v\/3 - 8\/3 = 0. What is v?\nAnswer: -1, 4\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6159347364 to the nearest integer?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 - 22*p**3 - 96*p**2 = 0 for p.\nAnswer: -16, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 3, -192, 9343 in decreasing order.\nAnswer: 9343, 3, -50, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:51 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 y when four letters picked without replacement from ypppnyppcpynppwypypp.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 28. Let g(q) = -2*q + 9. Let v(j) = -8*g(j) - 3*z(j). What is v(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 257 - 161. Which is greater: d or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346 + 136. Which is smaller: j or -209?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 8\/10*1. Let o = 809 - 4043\/5. Which is the closest to o? (a) -0.3 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -38. What is the remainder when 56 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2967893 by -13.\nAnswer: -2967893\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2228 and 55\/16.\nAnswer: 8912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434.77 times 1?\nAnswer: -1434.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5))**34\/(c**7\/((c\/(c*((c\/c**(-3\/19))\/c)\/c*c))\/c)))**(-31) assuming c is positive.\nAnswer: c**(-16027\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or -316.4025?\nAnswer: -316.4025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043243073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 25. Let u be n(-21). Solve -3*c - 4 = -4*c - u*z, 4*c = -2*z - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {o: 1, v: 4, f: 1, p: 5, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -45*a + 1. Let q be f(-1). Let k = -32 + q. Let x(u) = 2*u**3 - 34*u**2 + 150*u - 26. What is the smallest common multiple of k and x(8)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4125 and 539?\nAnswer: -1300.3375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 52 = 12*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10300 + 16?\nAnswer: 10316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 119285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 19) + -2 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 236644\nAnswer: 10\/59161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8169 is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/(-2))\/(-7)*(2\/70)\/((-93)\/(-155))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*b + 4*r - 1, 4*b - 30 = -2*r. Suppose 3*l - 7*w = -b*w + 70, -56 = -2*l + 4*w. Calculate the greatest common factor of l and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = 2*x. Let h be (-6)\/8 - x\/(-4). Let v be (h - 0)\/(-2)*-2. Is v smaller than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3769 = -3*h + m, 4*m - 3749 = -0*h - 3*h. Suppose -59 = 4*l - h. Let f = l - 193. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.3? (a) -4 (b) -1\/4 (c) -0.2 (d) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:40 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 3*w - 2*w)*(-11*w**3 - 6*w**3 + 8*w**3) as j*w**2 + a + u*w**3 + y*w**4 + s*w and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/162 + 1600\/9.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 544132884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:47 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a - 7*a**2 + 0*a**3 + 3*a**2 + 3*a**3 + 2*a - 5*a**2. Let f be m(1). What is the nearest to 1 in -1\/5, -0.02, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.33 (b) 5 (c) 594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 22*a**2 - 20*a. What is the units digit of z(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1447283 * 0.55\nAnswer: 0.079600565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 315*s + 804*s + 241*s + 1135*s to the form q*s + c and give q.\nAnswer: 2495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 2\/95, 2242, 5\/3, 0?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1917.58 and 49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -88, -127, -164, -199?\n\"Answer: d**2 - 44*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 41*a**2 + 225*a + 6. Give w(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2, -734, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (13861\/(-166) + (-2 + 2 - 4))*-30 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26964 by 2.\nAnswer: -13482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*o - 21555, 4*s - 6*o + 11*o - 17248 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001727936358 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*i - 92, i + y + y - 11 = 0. Suppose 0 = -3*d + 20 + i. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 28 + 36 = 0. Suppose 11*q - 90 = s*q. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -24. Solve -3*b = -1 + i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 10. Suppose 4*f - 16 = -5*j, f = u*f + 4*j - 4. Sort f, 5, -5 in descending order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/7)\/c)\/(c*c**7))\/(c**(-2)*c)**(-2\/67))\/((c\/(c\/((c\/c**(1\/8))\/c)))\/(c**(-2)*c)*(c*c**(5\/6))\/(c\/c**(-2\/9))) assuming c is positive.\nAnswer: c**(-369575\/33768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -14.7. Let g = -2.3 + b. Let r = g - -3.5. What is the biggest value in -4, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4*d - 3)*(6*d - 6*d + d**2) - 17 - 7*d**3 + 17 in the form q*d + a*d**2 + u*d**3 + w and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 9) to base 6\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6240 (base 8) to base 4\nAnswer: 302200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 519.5, -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14 and -0.68?\nAnswer: 14.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 829.266432 to zero decimal places.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b - 185. Let v = -19083\/11 + 1735. What is the biggest value in b, 1\/4, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 580430748?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 880258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - i**3 - 43*i - 84*i - 30*i**2 - 120 - i**3 = 0. What is i?\nAnswer: -10, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q**2 + 21*q + 383. Let p(b) = 3*b**2 - 5*b - 96. Let y(k) = -2*d(k) - 9*p(k). What is the first derivative of y(j) wrt j?\nAnswer: -6*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/12)*z)\/z*z**4\/z assuming z is positive.\nAnswer: z**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24635*b**2 - 47407*b**2 + 22776*b**2 + 19*b**3.\nAnswer: 19*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*p + 67*p + 40. Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (9 - (3 - -22)) - -11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75717 and 36660?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3\/2 + s**2 - 2*s - 4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 1, -1, 0.16, 0.8756?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y + 38. Suppose 2*a + 4*z = 4*a - 20, 5*z = a - y. Let p(g) = 21*g**2 + 0*g - 15*g**a + g. Determine p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 2. Let v be (-62)\/8 + (-2)\/8. Let b = v - -4. Let t(w) = -2*w**2 - 5. Let n(k) = b*t(k) + 9*g(k). What is the first derivative of n(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, h: 5, w: 1, i: 2, e: 3}. What is prob of sequence mgw?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - 52899.\nAnswer: -52907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 43*h**2 + 47*h + 15. Let x be f(44). Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -75*f**4 - 390*f**3 - 327*f**2 + 468*f - 108 = 0.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + 0.2. Let c = -0.499925 - x. What is c rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r - 25 = 0. Suppose -3*c = -r*q - 6*c + 14, q = -c + 4. What is t in -3*t**2 + 0*t**2 + 4*t**2 - q = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 2*h**3 - 3*h**3)*(2796 + 13762 + 1748).\nAnswer: -36612*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2270 (b) -0.08 (c) 68 (d) 1\/8 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140.312 rounded to the nearest ten?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47821 is divided by 559.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 11 = -y + 5, 81*y - 322*k - 237 = -324*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 3*u. Suppose 2*g = g + 20. Suppose u = -5*y - 0 + g. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275863856?\nAnswer: 2, 263, 65557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -155*r - 2469. Let m be o(-16). Solve -5*z - m*z - 80 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 557 - 558.385. Let f = 1.4 + y. Let r = f - 0.015. What is the smallest value in 0.3, r, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, w: 5}. Give prob of sequence vw.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835396372.\nAnswer: 2, 157, 1330249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23818?\nAnswer: 2, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2442, -2450, -2472, -2514, -2582, -2682?\nAnswer: -2820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5 - 5349*s**4 + 219717*s**3 - 611079*s**2 - 21360*s + 814788 = 0.\nAnswer: -1, 2, 39, 1741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -11 - -6) + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-132)\/9)\/((-720)\/(-27) - 27) is divided by ((-6)\/4)\/(3\/(-32)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4, -3*b - 11 = -p + 8. Let z be 444\/p + 16\/(-104). Suppose -z = -u - 14. Solve 4*t = -q + u, -2*t + 0*t = -4*q + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1427 (base 12) to base 3\nAnswer: -10012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*o - 22 = 11, 3*d - 99 = 3*o. Suppose -v + 48 = -3*f, -2*v + 2*f - d = -117. Calculate the greatest common factor of v and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.701 and -18.017.\nAnswer: -17.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 7*g**2 - 8*g - 2. Suppose -4*b = 35 - 11. Determine v(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 5*t**2 + 9*t - 3. Let j be d(7). Let o = -36 - j. Find the second derivative of 3*p**o - 3*p - 3*p**2 - p - 8*p**3 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330542.6 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5 - ((2 - 1) + -9)) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*13)\/(470\/235)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*b - 456*b + 1 = -o, -b - 2*o = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79669?\nAnswer: 79669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10890 and 767745?\nAnswer: 1535490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 27151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -5*u - 4. Let o(q) = -3*q - 2. Let m(w) = -w + 1. Give u*o(c) + 2*m(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26829.\nAnswer: 3, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**7\/5040 + f**6\/960 - f**5\/240 + 5*f**4\/6 - 4*f. Let u(p) be the third derivative of n(p). Suppose u(o) = 0. What is o?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*w - 1 + 11, 2*b + w = -13. Let h = b - -25. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*b + 47*b - 153*b - 165*b to the form z*b + p and give z.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3448 + -3452. Sort o, -6, 0 in decreasing order.\nAnswer: 0, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 12. Let b(j) = 1 - 2*j + 3*j + c*j - j. Suppose 131 = 19*i + 74. Calculate b(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 46. Let g = i + 19. What is the closest to g in -0.2, 5, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 36*b - 29 + 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*b + 3, -b - 6 = -2*j + 2*b. Factor 0*t**2 - 4\/7*t**4 + 0*t - 2\/7*t**j + 0 - 2\/7*t**5.\nAnswer: -2*t**3*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 23*z**2 - 36)*(4 + 1 - 3)*(z - z - 2*z**2 + 1).\nAnswer: 92*z**4 - 46*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4\/7 - 127240*n**3\/7 + 36356*n**2 - 127248*n\/7.\nAnswer: -4*n*(n - 1)**2*(n + 31812)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:40 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/11, -9, -1\/3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 3*j + 5*j**4 + 3*j**2 + 0*j - 11*j**2 - 2*j**2 - 5 to the form f*j**3 + l*j + w*j**4 + n + a*j**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + -1*sqrt(112) + sqrt(112))*2 + 3)**2 + -4 + 0 + 2.\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1483.98378 + 1484. Round n to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p. Suppose 0 = -5*x + 3*n - 5, -3*x + 2*n - 2 = 2. Let o(k) = -6 - 6*k**2 + x + 4. Give t(o(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**8\/112 + w**7\/14 + 3*w**6\/20 - w**5\/10 - 7*w**4\/8 - 3*w**3\/2 + 164*w**2. Factor g(s).\nAnswer: 3*(s - 1)*(s + 1)**3*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -24*h + 19. Let k(r) = -6*r + 5. Let m(o) = 6*g(o) - 22*k(o). Let x be m(-7). Suppose 0*w + 4*w = x. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1092 and 26.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/3 - 13*u**4\/3 + 77*u**3\/3 + 363*u**2.\nAnswer: -u**2*(u - 9)*(u + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*y - 417*y + 127*y + 133*y + 32 - 32.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 37879170.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/165*(225\/(-10))\/(-9).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3956 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89351, 177666, 265983, 354302?\nAnswer: 442623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 884937 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/50 and -46\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-24 - -12) + 9) - -4 - 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369 and 6888?\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2\/3*(-16 + 25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 + 2*t**2 - 6*t - 6. Let w(n) = -6*n**3 - 3*n**2 + 7*n + 7. Determine -7*j(l) - 6*w(l).\nAnswer: l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*s - 51*s + 237*s - 927*s + 244*s + 246*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 545*k + 1110 = 0.\nAnswer: -111, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112\/253 - 6\/23. Let h = -0.25 + 0.05. What is the nearest to 17 in h, 1\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**3 - 80*m**2 - 25*m - 328. What are the prime factors of t(-25)?\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6*z + l - 13, -z + 3*l + 1 = 0. Let s be 1*(1 + -4)*-2. Sort z, s, 0 in descending order.\nAnswer: s, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 36*y - 100. Let v be a(-24). Solve -6*s = v - 158 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 215*s**2 - 449*s + 5109. What is n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.48 + 6.48. Let m = -89 - -84. Which is the fourth smallest value? (a) s (b) 2 (c) m (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a\/a**1*a)*a\/(a**(-10)*a)*a assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311008815 divided by 100035.\nAnswer: 3109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 134. Suppose -4*n + 3*o + 55 = -2*n, o + 1 = z. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m + 35*m - 4875 = 0. Calculate the highest common factor of 182 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 3\/11 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.8, -2\/651, -0.5, -2, 119, -8?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -b + 4*x - 1, 0 = -3*b - 2*x + 5. Suppose -b*o = -8 + 8. Suppose d + 4*l = -o*l + 80, -2*l + 70 = d. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136.8258 days to nanoseconds.\nAnswer: 11821749120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-56) + (-35)\/60. Let x = 3 - 3.4. Which is the biggest value? (a) p (b) -4 (c) 2\/11 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8457778 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 2 + 2)*(0 - 5 + 2) + 3*w + 0*w - 5*w + 0*w - 2*w + 0*w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -118247 (b) -0.5 (c) 2\/5 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/263 - 535\/2367. Let d(w) = -w**2 + 6*w + 9. Let i be d(7). Let u be i\/6 + 16\/(-12). Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101010110000000111 - -1?\nAnswer: 11101010110000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22092 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64492822 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/8 - (-1)\/4. Let x(s) = -3*s. Calculate the least common multiple of x(t) and (-10)\/(-6)*-3 + 1 - -14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 170334633943 - -483.\nAnswer: 170334634426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 1\/90*i**5 + 0*i**3 + 1\/27*i**4 - 2*i - 1\/135*i**6 + 0*i**2 + 0. Factor k(h).\nAnswer: -2*h**2*(h - 2)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/135*-15 - (-7 + (-21250)\/(-225))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-220)*1)\/((-68)\/374)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 8 = 0. Let o(i) = -4*i - i + x*i + 4*i. Let t(n) = 5*n**2. What is o(t(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48388 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c - 6. What are the prime factors of ((-1)\/c)\/(1\/80)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255017000977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/6, 82, -5 in descending order.\nAnswer: 82, 1\/6, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -108\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**36*s*s*s\/s**(1\/6) assuming s is positive.\nAnswer: s**(-193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/((h\/h**(-2\/19))\/h*h))\/(h*h**5\/h*h**(2\/9)\/h*h)*(h**11*(h\/(h*h*(h*h*h\/(h\/h**(-9\/7)*h)*h)\/h))\/h)**(-2\/123) assuming h is positive.\nAnswer: h**(25595\/49077)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*g - 65, 0 = 5*g - 4*g - 4*j + 2. Suppose g*z + 988 = 1828. Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 - (-45)\/20. Suppose 88 = 3*j + a*b, -2*j - 3*j + 4*b = -110. Suppose 0 = 4*h + 3*p - 95, 0*h - h + j = 3*p. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255860687.\nAnswer: 255860687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/3 - 5*q**3\/3 + 7*q**2\/3 + 5*q\/3 - 2.\nAnswer: -(q - 1)**2*(q + 1)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -519*a**3*u**6 - 56*a**3*u**4 + 496*a**3*u**2 - a**3 + 2*a*u**2 wrt u.\nAnswer: -62280*a**3*u**3 - 1344*a**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**3\/6 - 4*t**2 + 3*t. Let k be w(9). Let i(f) be the first derivative of 3*f**4\/2 - f**3\/3 + 258. Determine i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43309476 and 252?\nAnswer: 43309476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.086 (b) 356 (c) 1\/2 (d) -5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 2*l - 4*l. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(72)\/(3*sqrt(8))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7545761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008\/13745 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2853 - -2856. Let g(r) = -r - 8. Let v be g(-9). Sort -7, n, v in descending order.\nAnswer: n, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142205?\nAnswer: 5, 7, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/3 (b) -1\/64 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 1.69, 9, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + 116*y - 21. What are the prime factors of b(-27)?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t*t**(-2\/7))**4\/(t**(4\/7)*t**3*t*(t\/t**(-1\/7))\/(t\/t**(-1\/2))) assuming t is positive.\nAnswer: t**(-187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0337 times -4\nAnswer: 0.1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 8. Suppose -o - 1 = -2*t, 3*o = o - 6. Let h = t - -4. Solve -2*k + 6 = 5*i, 0 = -h*i + 4*k - u*k - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 4*j**2 - 7. Let l(s) = -s**2 + 5*s + 11. Let k be l(6). Give d(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142.8 - -112. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 750 - 393. Calculate the remainder when n is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 5:09 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23179.64 - 1.42.\nAnswer: -23181.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 9*g**2 - 10*g + 13. Let i be -1*4 - 2*-18. Suppose -9*u = -5*u - i. Calculate the remainder when s(-8) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -14*o**4\/3 + 320*o**3\/3 + 1136*o**2\/3 + 256*o\/3 - 416 = 0.\nAnswer: -2, 6\/7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-234)\/(-130) - 4\/(-20). Let n(m) be the third derivative of 0 + 7*m**d + 0*m + 0*m**3 - 1\/8*m**4. Let g(l) = -2*l. What is g(n(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 95, 371, 923, 1847, 3239, 5195, 7811?\nAnswer: 11183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c - 56 = -18*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 9.3. Sort -1, o, 0 in descending order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*t - 24, 3*t = -2*z + 46 + 14. Suppose 2*x = 8*x - z. Let g(l) = l**2 - 6*l + 7. Determine g(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*g - 530*g - 2*o - 27 = 0, -3*g - 5 = 4*o for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118370?\nAnswer: 2, 5, 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 17, -12, 0.002, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-3)*715\/(-1001)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) -0.0401039 (c) 7\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - -0.21. Let s = -0.1200044 + n. What is s rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 g when three letters picked without replacement from tygwgwwyywyty?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3323534.96 to the nearest one thousand.\nAnswer: -3324000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19298.\nAnswer: 2, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmndk. What is prob of sequence mkn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, a: 2, i: 1, j: 1}. What is prob of picking 1 i, 1 a, and 2 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9889745.\nAnswer: 5, 151, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15811\/34 - -465. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, b: 1}. Give prob of picking 2 a and 1 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 - 27*z - 1. Let f(n) = 30*n**3 + 11*n**2 + 134*n + 53. What is f(r) + 5*h(r)?\nAnswer: 35*r**3 + r**2 - r + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 121*i**2 - 2*i. Let f(k) = 2591*k. Calculate p(f(d)).\nAnswer: 812307001*d**2 - 5182*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 12, 4*i + 73 = -z - 64. Let s = 92 + i. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 - 76*h - 130. Let d be o(11). Which is the closest to 29? (a) d (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 677342 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 30 = 4*s. Let q(o) = 2*o**3 - 2*o**s - 7 + 0*o**3 + o - o**3 + o**2. Let g(f) = -f**3 + 4*f**2 + 13*f - 6. Let u be g(6). Determine q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 2*y - 11, 0 = 4*y - 4. Suppose -47 - g = -6*x. Let n = 1 - -1. What is the greatest common factor of n and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3852641 to the nearest ten thousand.\nAnswer: -3850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1192669, -1192672, -1192673, -1192672, -1192669, -1192664?\n\"Answer: q**2 - 6*q - 1192664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 11:02 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 988.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 + n**3 + n**3)*(-2 - 3 - 2) - 7 + 7 + n**2 - 2*n**3 to s*n**2 + l*n**3 + q*n + z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -63, -66, -69?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 60 = -60 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 17*p**3 - 13*p**2 + 57*p + 6. What is the thousands digit of d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -37.5. What is the nearest to 0.01 in 1, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -4*f, -114*m + 2*f + 6 + 3 = -109*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 17 - 49. What is the tens digit of 92\/f + 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 14) in base 10?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071423106 to 7 dps.\nAnswer: -0.0000714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7266445193.\nAnswer: 7, 1038063599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40925542 is divided by 947?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -89.606 > 2\/253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -1\/9, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (-2 + 5)) + 9\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -4*k + 0*k**2 + 0 + 1\/3*k**3. Let c(i) = -4*i. What is c(l(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let z = -0.27 - 3.73. Let s = 0 + -0.1. Which is the nearest to s? (a) u (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 3:04 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1814 minus -5?\nAnswer: 6.1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (2 - -1)*-1. What is o in 2*o**4 - o**4 - 5*o**r + 4*o**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -0.5 (c) 1\/6 (d) 4372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 plus -1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 442 and 68?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:13 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/924 and 41\/51280.\nAnswer: 11845680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 2*a - 2. Let d be m(-2). Factor 2*k**3 + 3*k**4 - 22*k**3 + 7*k**3 + d*k - 3 + 7*k**3.\nAnswer: 3*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.48 + 0.32. Let w = n - 2.5. Let g be (-10 + 13)\/((-4)\/1). What is the smallest value in g, -5, -3\/8, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + x + 2*x - 8 = -10, -73*w - 20 = -69*w + 2*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13358903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -231, -427, -603, -759, -895, -1011, -1107?\n\"Answer: 10*k**2 - 226*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15465768, 30931535, 46397302?\nAnswer: 61863069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1, 0.23, -12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214.56*0.23.\nAnswer: 49.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/13 - 11628*s**2\/13 + 177128*s - 1681680 = 0.\nAnswer: -6006, 10, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 42*h**3 - 32*h**3 - 6*h**3 + 13*h**3.\nAnswer: -70*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 894033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 r when three letters picked without replacement from {f: 2, k: 4, x: 3, r: 3, j: 1, u: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 475605077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(18\/(-52)) + (-35211)\/(-1353)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3192781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 5*w - 3*n, 5*w = 2*n + 224 - 61. Suppose 3*m - w = -b + 2*b, -2*m + 17 = b. Suppose -4*r + 4 = 2*s - m, 0 = 2*r - 6. Which is bigger: 1\/10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.2467037 to 2 dps.\nAnswer: 17.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4335.005 + 4335. Which is the biggest value? (a) -0.4 (b) z (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p - 6 = 0. Let z be -6 + 3 + (-4 - -7). Suppose z*f = -2*f + p. Solve 5*b - 8 = -f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 781 - 440. Let m = 340.99999526 - o. Round m to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171346 is divided by 202.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.81 + 2.79. Let z = 28 - s. Sort -2\/5, -2, z, 3.\nAnswer: -2, -2\/5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*u + 74*u - 5*u + 891 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {b: 5, t: 2, x: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12824 by -8668.\nAnswer: 3206\/2167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 94?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 5. Let u be z(-7). Let n be 56 + -3*u\/6. Suppose 3*s + 21 = n. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.79.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h + 3*c = 903, 0 = -3*h - 2*c + 902. Suppose -35 = -5*u + h. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and -3468 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4249060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3162? (a) 0.4 (b) 4 (c) -1.1 (d) 0.1 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/4, -3\/5, -42, -5328 in increasing order.\nAnswer: -5328, -42, -1, -3\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222283607.\nAnswer: 7, 13, 2442677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -97\/4. What is the nearest to 0 in 0, s, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + -5) - (11 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 9) to base 12.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*b + 3*b - 3*b**3 + 57*b - 9*b**2 + 7*b**2 + 17*b in the form m + f*b + t*b**2 + i*b**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -132*r**3 + 16*r**2 - 3*r + 27. Let h(g) = -67*g**3 + 9*g**2 - g + 13. Let m(u) = -7*h(u) + 4*x(u). What is the second derivative of m(j) wrt j?\nAnswer: -354*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36192 is divided by 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/3 + 3*g. Let u be 1 + 0\/(-2) - -1. Let f(y) = -3*y**2 + 6*y**u - y**2. Determine v(f(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r - 62*r + 8*r**2 - 18*r + 36*r.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + 7*q + 8. Let w(n) = n**2. Let d(b) = g(b) - 4*w(b). Suppose -5*h + 0*h = -30. Is d(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 56326*m - 4*m**2 - 56326*m.\nAnswer: -4*m**2 - 289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14404.\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24)\/((-15)\/9 - -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073 - 3?\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4874 + 4878. Put -4, -5, -116, -1, p in increasing order.\nAnswer: -116, -5, -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -5.8\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*k + k - 3169, 0 = 2*k - 5*s - 2108. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 71. Let q = 14 - m. Which is the closest to 1? (a) 5\/4 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**13*b**(-47) assuming b is positive.\nAnswer: b**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 302053\/36 - 8390. Calculate the common denominator of 91\/90 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 - -22012311011?\nAnswer: 22012310110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -0.07955386\nAnswer: 4.92044614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 4) in base 13?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15*n. Let m be x(-4). Let h = -28 - m. Let l = -20 + h. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 23 = -t, -5*t - 6 = r + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.3762 - -20103.7328. Let z = w + -20114. Let k = 16.2 - z. Round k to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25363 + -174?\nAnswer: -25557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 596949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**3 - 12*y**2 + 5*y - 11. Let b(i) = 11*i**3 - 37*i**2 + 13*i - 34. Let m(u) = 3*b(u) - 8*l(u). Determine m(15).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + 87.95. Let i = -90 + m. Let w(l) = l**3 + 7*l**2 + 7*l + 5. Let v be w(-6). Are i and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, i: 13}. Give prob of sequence iiiw.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 533573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 2. Let h(g) = 56*g. What is h(c(l))?\nAnswer: -56*l - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1\/(-5))*(-140 - -137)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -89. Suppose -50121 = -f*a + 8*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(2409\/(-88))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.4 - 7.7. Let s = b - 6. What is the third biggest value in 5, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**5 + x**4 + x**2 + x + 1. Let q(l) = -828*l**5 + 4*l**4 - 189*l**2 + l + 4. Let t(d) = 4*f(d) - q(d). Find the third derivative of t(k) wrt k.\nAnswer: 49920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:36 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 595110259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.82353 and 1299.\nAnswer: 1297.17647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -157340.\nAnswer: 1\/7867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-13)\/o)\/((((o*o**(-1\/12)*o*o)\/o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 36 = t + 4*t, -20 = -5*o. Let d = 4 - t. Suppose 1 = -3*f - 4*z, 4*f + 5*z = -d*z. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -1) + 9\/(-45) + 1045\/100. Determine o so that -y*o**3 - 1\/2*o**2 + 0 + 0*o = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19267, -38535, -57803, -77071, -96339, -115607?\n\"Answer: -19268*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)\/((-7)\/133). Calculate the greatest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-361)\/(36822\/(-6732))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 65 + 5. Let n be l + 6\/(-7 + 4). Does 2 divide (2 + 0)\/(189\/(-49) + n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3929470855 + -4\nAnswer: 3929470851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -736, -1465, -2196, -2929, -3664, -4401?\n\"Answer: -k**2 - 726*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:54 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 58 = 12. Let b be (4*6\/5)\/(-4 + 63\/15). Suppose b*v - 78 = x*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.221? (a) 0.4 (b) 791 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 5*r + 3. What is b(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23410348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 4}. Give prob of sequence cc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47\/7 - 50\/7. What is the third smallest value in d, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*o, -3*o - 3*u + 2*u + 5 = 0. What is the smallest common multiple of 18 and (-4)\/(-2) - (4 - 68\/o)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/33 and -77\/1310?\nAnswer: 43230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 14 + 4 = w, 2*w - 4 = 2*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*p, 3*p - p - 431 = -3*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c*c\/c**(-11)*c\/c**(-3\/13)*c**(-33))**(-4\/9) assuming c is positive.\nAnswer: c**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-693)\/231 + (2\/12)\/((-6)\/(-124))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15218 times -1013?\nAnswer: 154.15834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -5791, -14856, -27603, -44038?\nAnswer: -64167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 - 5*c + 8. Let t(p) = -8*p**2 - 4. Let h be t(0). Let i(k) = 3*k**3 - k**2 + 4*k - 7. Let g(f) = h*x(f) - 5*i(f). Determine g(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:19 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:23 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (20\/18*12\/(-2))\/(52\/78)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {y: 1, p: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 27 = -4*z, -3*z - 4*l + 26 = -z. Solve -2*b + z*i = -0 + 3, 3*b + 14 = -5*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15070 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3154, 3356, -3.\nAnswer: -3154, -3, 3356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 1a1?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2048 is divided by 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 74\/1365 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7755.11169 + -7755. Round o to three dps.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + 4\/12. Let c = 5 - b. Suppose 3*v - 2*v = -2*g + 23, -v - c*g + 32 = 0. Solve 0 = 3*j + 2 - v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5743597.11 to the nearest 1000.\nAnswer: 5744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*y - y + 0*y - 3.\nAnswer: 3*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*y**2 - 55*y**2 - 37*y**2 - 40*y**2 - 31*y**2 - 28*y**2 + 39*y.\nAnswer: -6*y**2 + 39*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - z**2 + z**2 + (-z + 0*z - z)*(8*z - 35*z - 7*z + (2 - 2 - 1)*(2*z + z - z)) to x*z + u*z**2 + o and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41477 + 5040 = -1087*r + 8130 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -65*p - 2903. What is l(-43)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/17 (b) -1\/5 (c) -4\/11 (d) 0.3 (e) -2\/7 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*w - 157*w = -8981. What are the prime factors of w?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2\/9, -3, 0.1, -8\/1384159?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/5, -1, 2\/699, -27, 4 in increasing order.\nAnswer: -27, -1, 2\/699, 1\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 355442 + -355434. Let w be ((-28)\/6 + 0)*-3. Let h = w + -9. Solve 3*t + j = h*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -58.1. Let h = d - -5.9. Which is the closest to -1? (a) h (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*k**3 + 24*k**3 - 2*k + 21*k**3 + 5*k**3 - 149 to s*k + t*k**3 + w + j*k**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 525 - 7877\/15. Which is the closest to 13? (a) -5 (b) -2\/7 (c) n (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 13. Let o(y) = y**3 + 11*y**2 + 11*y + 10. Let a be o(-10). Suppose 5*l = -c + 15, a = -3*l + 7 + 2. Give b(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1 - 5 - j + 2. Let o be w(-2). Solve -r - 2 + 3 = o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14624?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 65. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23479, 2437 in ascending order.\nAnswer: -3, 2437, 23479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 47864 divided by -11966\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 720 = -18*j. What is the smallest common multiple of 2 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllcllllllll. Give prob of picking 1 l and 1 c.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) + 0)**2) + sqrt(847) + (-3*sqrt(63))\/sqrt(9) + 5.\nAnswer: -842 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 4181822*s**2 - 5*s**3 + 4181935*s**2 - 8363757*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 - 131. Sort 5, j, 3 in descending order.\nAnswer: j, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 34 = 4*o - 0*n, -o + 2*n + 1 = 0. Let r be (o - -1)\/(-5 + 3). Let c be r\/36*-1 + 82\/12. Round c to one dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 38. Is 13 a factor of m(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**2 - 3609*s + 3609*s + 4*s**3)*(-2*s + s + 0*s).\nAnswer: -4*s**4 - 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.478 + -934.9031?\nAnswer: -935.3811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - 8)*8\/(-12). Let u(a) = a + 9. Let g be u(-7). Put -3, v, g, -6 in descending order.\nAnswer: g, -3, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 11*n**2 + 23*n + 46. What are the prime factors of i(-14)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81290 - 894170\/11. Let -u*w**2 - 54\/11*w + 6\/11*w**3 + 20\/11 = 0. What is w?\nAnswer: -2, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/r)\/r**(3\/8)*(r*r**(1\/22))\/r**(-6) assuming r is positive.\nAnswer: r**(851\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5449 (b) -1\/3 (c) -2\/1069\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35 and -185264.8320749?\nAnswer: 185229.8320749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586 = -48*z - 127*z + 2336 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1148016386*q**2 + 574008188*q**2 + 574008208*q**2 - 2*q**3.\nAnswer: -2*q**3 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 2 - 2)*(-2 + 2*n + 2) + 5*n**2 - 2*n**2 - n**2 + 3*n**2 + 0 - 1 - 2*n**2 to the form r + i*n + o*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-1482))\/(5*2\/(-16))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-14))\/(5 + (-1994)\/378) and 37\/143.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y. Let v = 6 - 2. Suppose 3*c = j + 1, v*j + j - 5*c = 5. Let p(s) = 5*s**2 - 2*s**2 - 2*s**j. Determine p(m(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31380165*t**3 - 8701362?\nAnswer: -94140495*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiiuwff. Give prob of sequence ff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 30*c - 2. Let p(v) = -3*v**2 - 61*v + 5. Let n be (36\/(-24))\/(4\/(-24)*3). Determine n*p(l) + 7*f(l).\nAnswer: -2*l**2 + 27*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333 - 283. Is 55 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 minus -0.377?\nAnswer: 0.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 233069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*u, 0*u = 2*a - u - 690. Suppose -5*p - 100 = -y, a = 5*y - y - p. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275\/(-55) - (-171)\/33.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 0.4, 6, -59?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 12\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 9. Calculate the remainder when o is divided by 26\/143 + 258\/33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 3. Let p(j) = 5*j - 8. Let u(r) = 3*p(r) + 8*z(r). Let y(d) = -3*d + 3 - 2 - 1. What is y(u(s))?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27792, 27791, 27790?\n\"Answer: -m + 27793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001 (base 2) in base 4?\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113031322 (base 4) in base 8?\nAnswer: 271572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 10 = -5*v + 9, -4*d = 3*v - 16. Factor -12*b**2 + 4*b + v*b**4 - 3*b**4 + b**4 + 8*b**3 + 22*b**2.\nAnswer: 2*b*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 16\/3*f**3 - 13\/60*f**5 + 0 + 1\/2*f**4 + 1\/120*f**6 - 10*f**2 + 0*f. Is l(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17094398?\nAnswer: 2, 29, 294731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + a = -4, 1839 - 1837 = l + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262.22 - 258.5962. What is a rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.04 (c) 1\/6073 (d) 1 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus 35058104031?\nAnswer: -35058104050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/25*43\/(1677\/(-1495))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 6:40 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = m - 7, -2*m - 2*w = -10. Suppose -2*i = m*g, 4*i + 4*g - 2 = -g. Suppose -2*p - l + 105 = -0*p, -i*p + 5*l = -190. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.2 + 4.6. Let h = y + 3.3. What is the closest to 0 in h, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 3:32 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -1\/14 (b) 0.2 (c) 0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 27*p**2 - 25*p + 21. Give i(26).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = n - 38532000, -105963000 = 2*c + 9*c + 3*n. Round c to the nearest 100000.\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/59 in 5\/2, -6, 5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -54, -142, -278, -468, -718, -1034, -1422?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-2)\/(-6))\/(9 - 6). What is the nearest to u in 2\/5, 5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848.031 - 7423896.\nAnswer: -7423047.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -49*t + 59. Determine i(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 164*s**2 - 3*s**3 + 177*s**2 - 5*s**3 + s**3.\nAnswer: -6*s**3 + 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 9*c = 0. Solve -2*d - 2*b = -3*b + 9, -2*d + 3*b - 19 = c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.34 + -0.34. Let s = -7864\/9 + 874. Do i and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -651 (c) -0.2 (d) 37\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 928.9846ns?\nAnswer: 0.0000009289846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**8\/1344 - h**7\/504 + h**6\/72 - 13*h**4\/3 - 27*h. Let g(r) be the third derivative of t(r). Determine l so that g(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 7*z = -15. Suppose 2*w - 3*w - 4*j + 4 = 0, -z*w = 3*j - 3. Suppose -14*y + w = -0. Sort 0.4, y, 5 in decreasing order.\nAnswer: 5, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 2*b + 14 = 2*g, -3*g - 15 = -3*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1479, -2559, -3639?\n\"Answer: -1080*q - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2769*n + 24770 = -44378 + 14808 - 9347 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4828, -37601, -125752, -296713, -577916, -996793, -1580776?\nAnswer: -2357297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/9)\/m)\/(m\/(m*m\/m**5*m*m)))**(-1\/28)\/(m**2*m*(m\/(m**(-2\/3)\/m)*m)\/m)**(15\/8) assuming m is positive.\nAnswer: m**(-5321\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) 0 (c) -40 (d) -13\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*y + 33*y + 17*y)*(4 - 8 + 2).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 59 = -20*q - 47*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-70))\/(190\/665)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*-2*-6 - (-2 + sqrt(125))) + sqrt(60)\/sqrt(192) + (sqrt(20)\/(sqrt(8)\/sqrt(2)) - sqrt(5)))**2.\nAnswer: 29*sqrt(5) + 4269\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17842 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*r + 82*r + 75*r + 49*r**2 in the form j*r**2 + u*r + w and give j.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34481 - 15072. Suppose 4*n = 15391 + v. What is n rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 2*3\/(-15)*-15. Let q be (0 - h) + (-224)\/(-84). Factor 2\/3 + 28\/3*y**2 - 13\/3*y**3 - q*y.\nAnswer: -(y - 1)**2*(13*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 32, -16, -3, -2 in descending order.\nAnswer: 32, 2, -2, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1 + -219 + 0. Let s be 2\/((15\/27)\/((-25)\/(-30))). Let n be s*1 + 5\/y*134. Is -0.1 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147482606 - 68136606. Round k to the nearest one million.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-14\/9)\/(z*z*z**(2\/17)*z) assuming z is positive.\nAnswer: z**(-715\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 26 = 3*l. Let p = l + 12. Calculate the highest common divisor of 9 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/1)\/(-1) + 2. Let q = 26 - -29. Let g = -54.9 + q. Is x at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 16*y + 107. Calculate f(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2\/10*5*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.7 + 19.4. Let b be (0 - 5\/10)\/((-1)\/10). Suppose b*g + 29 = -z, 4*z + 10 = g - 1. What is the fourth biggest value in j, 0, g, 16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99565421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671806 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 13*x + 1. Let p be j(13). Let f(l) = 6*l + 3. Let u(q) = q + 1. Determine p*f(s) - 4*u(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 8*a**2 - 7*a - 6. Determine y(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 131020 (base 5) to base 6\nAnswer: 35435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:34 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q**3 + 6*q**2 - 5*q - 9. Let n(z) = -22*z**3 - 11*z**2 + 7*z + 13. Determine 7*f(h) + 5*n(h).\nAnswer: -5*h**3 - 13*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 + 0 - ((-3 - -3) + -1) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from {g: 3, a: 1, e: 4, p: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*j = 0, -4*j - j = -3*q. Solve t + q*t + 3*n + 8 = 0, -10 = 4*t + n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-26) + (-33885)\/(-189254))*(-11 + 13).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52.45 and 88?\nAnswer: 4615.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -267753*j - 1000796 with respect to j.\nAnswer: -267753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 1, q: 5, v: 7, o: 1, s: 4}. What is prob of sequence ii?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*x**3*y**2 + 6*x**3*y + 47*x**3 + 3*x**2 - 2*x + 211916*y**2 + 3971 wrt y?\nAnswer: 38*x**3*y + 6*x**3 + 423832*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x + 30. Let u be j(5). Let b = u - -23. Let m(i) = -i**3 + 3*i**2 - 11*i**2 + 5*i**2 + 3 - i**2 + b*i. Give m(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 824317, 824323, 824331, 824341, 824353, 824367?\nAnswer: 824383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 5:59 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/15))**(2\/11))**(4\/11) assuming s is positive.\nAnswer: s**(-16\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50 + 36 + 8 + 113 + 38)*(-y**2 + 4*y**2 - y**2 + (5 - 1 - 13)*(-y**2 - 3*y**2 + 2*y**2)) to the form m + v*y**2 + t*y and give v.\nAnswer: 4900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*m - 10352 = 0, -138*t = -137*t - 4*m - 3488. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 1 + -4)\/2 + 99. Let b = m + -94. Factor 34\/3*n + 10\/3*n**2 + b.\nAnswer: 2*(n + 3)*(5*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*(-7)\/(-14). Let z = -33058.8 - -33058. Let q = 3.1 - -0.9. What is the smallest value in q, 2\/7, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -55. Suppose 2*b = -s + 31, -1 - i = b. Calculate the remainder when 119 is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-255)\/20*(-4)\/(-24) - (-2)\/16. Sort f, -3, 1457, 0 in ascending order.\nAnswer: -3, f, 0, 1457","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(243) + 1)*2 + sqrt(4800) + -1))**2.\nAnswer: 464*sqrt(3) + 40372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + (-920)\/(-12). Let p(c) = 2*c**2 + 4*c + 1. Let x be (-33)\/9 - (-2)\/3. Let y be p(x). What is the highest common divisor of i and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1493005 centuries?\nAnswer: 14.93005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + 4*u**2 + 0*u**2)*((1 - 4 + 1)*(3*u + u - 2*u) + 0*u + u + u) - 2569*u + 29*u**3 + 2569*u to q*u**2 + l*u + n + v*u**3 and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 536.626 to the nearest 10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + 0*c**4 + 3*c**4 - 12*c**2 + 12*c**2 - 6*c**4 + (c + 3*c - 6*c)*(3*c**3 - c**3 - c**3).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 12. Let w be t(0). Suppose -w*j = -9*j. Determine k so that -4\/7*k**2 + 2\/7*k + 2\/7*k**3 + j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 44*s - 10. Let g be h(9). Find the common denominator of (-845)\/(-78) + -12 - (g + -2) and (-34 + -4)\/((-3)\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/270138 and -117\/52840630.\nAnswer: 1743740790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3971940*z + 140504. Let v(l) = -1357*l + 48. What is 6*b(a) - 17563*v(a)?\nAnswer: 1351*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*a + 105 = 0, -49*a + 10 = -51*a. Sort 0, q, 5 in decreasing order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 4*o + 3*o + 0*o + 3*o + 1.\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4645674 and 6897?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1063 divide 111086812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 - 136*p - 14055\/7.\nAnswer: -(p + 15)*(p + 937)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i. Let j(z) = 9*z - 50. Calculate j(r(t)).\nAnswer: 81*t - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3898*i**2*p**3 - 11*i**2*p + 4*i**2 - 33*i*p - 13*p**3 - 48*p**2 + 449*p - 1 wrt p.\nAnswer: -23388*i**2*p - 78*p - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {b: 3, m: 1, g: 2, f: 3, h: 1, a: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736563 to the power of 1\/2, to the nearest integer?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 330 = 99. What is the remainder when d is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5 - 295*v**4 + 3037*v**3 - 4025*v**2 - 18336*v - 10980 = 0.\nAnswer: -305, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and (18\/8)\/(((-686)\/(-168))\/49)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4477bb (base 12) in base 13?\nAnswer: 2c2a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 640, 1268, 1884, 2482, 3056?\n\"Answer: -n**3 + 635*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 5729108 and 5729106 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91724692.8 rounded to the nearest 10000?\nAnswer: 91720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11\/6 (b) 0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 - 356*k**2 - 1376*k - 1360 = 0. What is k?\nAnswer: -85, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24504 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 7*x + 10. Let a(h) = 1. Determine -6*a(r) + c(r).\nAnswer: r**2 - 7*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/5 + 1804*l**2\/5 - 361*l = 0 for l.\nAnswer: -1805, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 6388*n**7\/7 - n**3\/3 + 960*n**2 + 2514. What is the third derivative of p(f) wrt f?\nAnswer: 766560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 divided by 62?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t + 592 = 4*u, -4*t - 1211 = u. Let m = -203 - t. What is the remainder when m is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 931*p**3 + 884*p**3 - 1755*p**3.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 - (-3 - -1)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3 - 4712*t**2 + 297924*t - 4843872 = 0. What is t?\nAnswer: 33, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-80)\/(-28) + -3)\/(-3). Let c(s) be the second derivative of 0*s**2 + 0*s**4 - m*s**3 + 1\/70*s**5 + 4*s + 0. Factor c(q).\nAnswer: 2*q*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*k = -135*k - 21 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*q = -4, 3*h = 5*h - 2*q + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*y, 2*y + 12 = 2*g - 3*y. Let h be g + -2 + 2 + 3. What is the nearest to -1\/3 in 5, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 16*g**2 - 18*g**2 + 33*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -766, -3372, -7680, -13660, -21282, -30516, -41332?\n\"Answer: 5*y**3 - 881*y**2 + 2*y + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*z + 16, 4*z = -4*n + z - 11. Let a = 21 - n. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -318597209919\nAnswer: 318597209919.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*u - 91. What is the remainder when 115*(-11)\/(-495)*u is divided by 110\/8 + 1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 388118 + -252159. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.615 - -0.74. Round a to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.203 * 3.\nAnswer: -33.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 7b90?\nAnswer: -7b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 0.4, -41\/6, 2.1, -2\/13?\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -709*t - 1903 + 19628 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.27. Let g = -3212\/3 - -1069. Which is the biggest value? (a) n (b) g (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -7034632.\nAnswer: -7034631.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 1518 = 3*f - 57*f. What is the remainder when 938 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:27 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let j be p(-2). Let u = -2 - -6. Suppose 0*l - l = -u. Solve -5 = 5*g - l*b, 0*b = 2*g + 5*b + j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 157 or 155?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10839156 by -2709789.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 0 - (8 + -75)\/((-693)\/(-31)). What is the third smallest value in b, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((176\/(-36))\/(-11))\/(-3*4\/(-54)). Let u = -41 - -70. Let c = u + -21. What is the third smallest value in -0.5, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4363889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.254 * -562.5\nAnswer: 142.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (177\/2)\/(10\/440*-12*-11*2).\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181442.\nAnswer: 2, 257, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110 + 3325314?\nAnswer: 3325204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-120*8\/(-120))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 0.78 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59498508 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 common denominator of -34\/209 and -107\/68?\nAnswer: 14212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(45)*4)\/((sqrt(9) + sqrt(36)\/sqrt(4))*2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.5855 rounded to zero decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 53 + 492 = 0. What are the prime factors of i?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -330?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 0 (c) -30.813\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37915*o**5 + 7028*o - 3?\nAnswer: 758300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2424 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -268143 > -804425\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/4 + 0)\/((-12)\/192). Let y(p) = 4*p**2 - 11*p + 4. Let j be y(g). Calculate the greatest common divisor of j and 648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*a**2 - 361*a**2 - 1093*a**2 - 425*a**2 + 505*a**2.\nAnswer: -1937*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 88*b + 763. Let s be p(0). Is s > 767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 10 = 5*p + 19, 8*p - 2*y = -48 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:26 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 15 - 10*o + 9 to the form y*o + d and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3)\/(1\/3). Let v = -6 - g. Let o = 5 - v. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 32*s - 41. Suppose 0 = -n + 10*n - 126. Is y(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let z = 166.9 - 23.9. Let y = z - 142. What is the closest to 2\/3 in -4, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 divided by -172?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 16.1\nAnswer: 17.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 4*w**2 - w - 3. Calculate a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27310\/75 + (-6)\/45. What is the highest common divisor of 56 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwcw when four letters picked without replacement from {w: 8, c: 2, i: 4}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kceb when four letters picked without replacement from kceccbcbbkbkkccb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391389 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 15, -5*n + 357 = 2*i - 4*n. Let h = -157 + i. Suppose -x - 5*u = -2*x + 2, -6 = -3*u. What is the greatest common divisor of h and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4241 + -4239. Sort -2, k, 1, -40 in decreasing order.\nAnswer: k, 1, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -45 - 51 + 4*r + 90 - r - r. Let o(i) = 5*i. Give o(k(c)).\nAnswer: 10*c - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 466, 1, -2, 4, 8, -1 in ascending order.\nAnswer: -2, -1, 1, 4, 8, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35547 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-104)*-4)\/(25\/250)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/13*-1 + 9705\/(-11700) and -23\/70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*n - 3*n - 8, 5*o - 13 = -2*n. Solve 0 = o*k + 5 - 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 6*h - 4. Let i be o(5). Let u = -4 + i. Which is the second smallest value? (a) -0.05 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y + y - 3*y)*(0 + 3 - 4) + (7*y - 2*y - 4*y)*(0 - 2 + 1) in the form t*y + l and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*p + 18 = 2*p, -3*p + 8 = 4*i. Do -3\/44 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331, 442, 323, -26?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10565401 (base 7) to base 6.\nAnswer: 31445144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 664, 1327, 1990?\n\"Answer: 663*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1079859958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1194)\/4788 + 2\/(-7). Let i = -2\/57 - f. Determine q so that i*q**2 - 2 + 0*q = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 2*f - 2. Suppose 0 = 4*w - 0*w - 12. Determine d(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 423331 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728)*-1)\/sqrt(9) - (sqrt(36)*1)\/sqrt(12)*-2) + 5.\nAnswer: -6*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2130054 - 20314?\nAnswer: 2105340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Let v = 166 + -150. Suppose -3*s - 7 + v = -3*o, s = 3*o + 5. Which is the nearest to 1? (a) o (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 + 119. What is the nearest to -0.1 in -3, -2\/9, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f + 6*f + 6*f - f - 12*f + 13. Determine s(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 i when four letters picked without replacement from {g: 1, i: 3, l: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191 - 191.000099. Round s to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 77*a**2 + 4*a - 3. Is z(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 9, 14, 3, -36?\n\"Answer: -2*p**3 + 10*p**2 - 7*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 179480 + -18?\nAnswer: 179463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1239802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.231062 millennia?\nAnswer: 5231.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 8*i**2 + 7*i + 1. Let f be t(7). Let g = -10 - -14. Which is the nearest to f? (a) -3 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 1000100100011?\nAnswer: 1000100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 76.7711.\nAnswer: 69.7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**4 - 472*b**3 + 1392*b**2 - 1384*b + 460 = 0.\nAnswer: 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1664)\/(-24))\/((-10)\/6). Let m = -42 - f. Do 1 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 = 5*x, 7*x - 5*h = 2*x + 20. Suppose 0 = -x*w - p + 5, 2*w + w = 2*p - 10. Solve 0 = -w*s + s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*c + 153*c = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59286 (b) -2\/9 (c) 3\/8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -k - 37, 5*u = 7*u + 5*k - 19. Let d(p) = 2*p**3 - 7*p**3 - u*p**2 + 11*p + 15 + 4*p**2 + 4*p**3. Is d(-14) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 34*a = -15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/63 (b) -3 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 + 424013?\nAnswer: 423577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o - 4. Suppose 11*i + 353 = -142. Let x = i + 45. Suppose -y - 4*m + 7 = x, -3*y + 2*m = 7*m - 14. What is t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 514.127 to 0 dps.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -1362823 + 5520823. Round h to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310408539?\nAnswer: 3, 7, 47, 314497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 15. Let x be d(-6). Let r(n) = -n**2 - 17*n - 67. Let q be r(x). Solve 4*y + 5 = -5*p, q*y + 19 = -5*p + 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-7 - 4 - 3*n + 4).\nAnswer: -3*n - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + k**2 - 33 + 2*k + k. What is the units digit of y(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c - 1 + 5 - 3 - 5*c + 7. Let t(a) = -11*a. Determine t(k(w)).\nAnswer: 209*w - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/2 - 136525295*v\/2 = 0. What is v?\nAnswer: 0, 136525295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -134 + 551*y**2 + 274 - 551*y**2 + 18*y**3 - 134 in the form m*y**2 + r*y + l*y**3 + g and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-12) - (-108)\/(-81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2820, -4167, -6412, -9555, -13596, -18535, -24372?\nAnswer: -31107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2386496 and 56.\nAnswer: 2386496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17668, -64830, -143434, -253486, -394992, -567958, -772390, -1008294?\nAnswer: -1275676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-12) + (-17)\/(-4). Suppose i*s + 2*b = 26, 4*b = -4*s + 3*b + 29. Let q(k) = -k**2 + 6*k + 10. Let u be q(s). Put 3, u, -5 in increasing order.\nAnswer: u, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 1. Let f be 8\/36 - (-22)\/(-18). Let c be r(f). Let s(t) = 19*t**2 - t - 3. Let i(d) = -9*d**2 + 1. Let o(q) = -5*i(q) - 2*s(q). Determine o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3973049646 to the power of 1\/3, to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8068 or -120998\/15?\nAnswer: -8068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumrujruxuurl. Give prob of picking 1 u, 2 r, and 1 j.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/637 - 1180\/29939. What is the third smallest value in u, 4, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/5 + 6928*q**3\/5 - 124266*q**2\/5 + 144812*q - 275680 = 0.\nAnswer: 5, 8, 3446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = -2*k + r, -2*r = k - 7. Suppose 4*w - 57 = 3*g, k*g = 2*w - 5 - 22. Calculate the least common multiple of w and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 60*c**2 - 168*c + 10. Determine p(-2).\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*a = -0 - 9, f = 5*a - 8. Let y be 18\/4*(-13 + (-66)\/(-18)). Put f, y, 5, -5 in descending order.\nAnswer: 5, f, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, c: 2}. What is prob of sequence kcck?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14580 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 7648.\nAnswer: 38240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.35075s to microseconds.\nAnswer: 3350750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 49163488?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 547.\nAnswer: 3\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-489108)\/(-24) + -12)*8\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-698)\/(-4332) + 11\/(-33). Let l = x + -6851\/722. Which is greater: l or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263129795.8 rounded to the nearest one million?\nAnswer: -263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2305\/461*2\/(-55).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, z: 3, m: 6}. What is prob of picking 1 v and 1 m?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 20*h - 1324. Give l(30).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -617 + 27. Let p = x + 854. Calculate the highest common factor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 3, i: 4, h: 3, g: 6}. What is prob of sequence gooh?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3896?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, -0.5, -32\/17, 0, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4258 + -4256. Let 1 - 3\/2*s + 1\/2*s**d = 0. Calculate s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (1 + -1) - (60 + -64)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-1 - -3*2). Let a(m) = -m**2 + 1 + z + m + 0. What is the smallest common multiple of a(0) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - -392. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5967514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + 400?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -0.3 (c) -907\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 65824.\nAnswer: 5\/32912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 - 323. Let c = -140 - x. Solve 0*k = c*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + -2 + sqrt(500) - sqrt(500)))**2 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 20*z + 1\/5*z**5 - 2*z**4 + 8*z**2 + 21\/5*z**3.\nAnswer: z*(z - 5)**2*(z - 2)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 20 = -4*k. Suppose 9*f - k*f + 133 = 0. Let l = -16 - f. Solve -p - 1 = l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 167180*x + 501495.\nAnswer: 5*(x + 3)*(x + 33433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 4*i = -30, 4*z - 210*i + 205*i = 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2314234 + -2?\nAnswer: -2314241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 325223 divided by -6?\nAnswer: -325223\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 315114419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15866 + -5210. Does 148 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.6 - 550976.\nAnswer: -550961.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s)**42*(s**(1\/7))**43 assuming s is positive.\nAnswer: s**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 0, -0.02582 in increasing order.\nAnswer: -0.17, -0.02582, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 0 = 4*b - t, -b = -6*b + t + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*t + 53*t = f - 37*t - 5, -4*f = -17*t - 83 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + n - n**4 - 4*n**4 + 4*n**4 + n**2 + 6*n**3 - 8*n**3 to the form a*n + g + m*n**2 + p*n**4 + o*n**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + 605. Let l = t - 453. What is the highest common factor of l and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31948 + -54.\nAnswer: 31894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) + (sqrt(91)*1 - sqrt(91))*5 - sqrt(91) - sqrt(91) - sqrt(91)) + sqrt(91))\/(sqrt(112)*1)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3499 + -79?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -10. Suppose 2*u = 4 + 2. Suppose u*c + 28 = q*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-7 + (-4 - -9)) - (0 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*j**5 + 146*j**4 + 676*j**3 + 16*j**2 - 684*j - 162 = 0. What is j?\nAnswer: -9, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**2 - 3 + 4 + d + 6*d**2)*(27 - 5 + 2)*(-1 + 4 - 1) + 3*d**2 - 3*d**2 + 2*d**2 in the form b + o*d**2 + z*d and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 2, y: 1, l: 1, k: 1, j: 1}. Give prob of sequence kyj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**6*o*(o*o\/o**(-3))\/o)**(7\/4)\/(o**(-4)\/(o\/o**5))**(-11) assuming o is positive.\nAnswer: o**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Let r(f) = b*f - f - f. Let w(t) = 2*t**2 - 3*t - 3. Let i(y) = 2*y**2 - 2*y - 2. Let g(o) = -6*i(o) + 4*w(o). Give r(g(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10008790 and 4549450.\nAnswer: 50043950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 less than -0.5?\nAnswer: -564.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -61100.6 to the nearest 100.\nAnswer: -61100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 124. Let x(b) = -b**3 - 12*b**2 + 8*b - 65. Let t be x(-13). Let g = j - t. What is the least common multiple of g and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(3 + -2)\/((-2)\/4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 5*f - 2. Let k(h) = -h**2 + 5*h. Let z be k(4). Let r be s(z). Factor -4\/5 - 6\/5*q**2 + r*q.\nAnswer: -2*(q - 1)*(3*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346211*v + 346200*v = -869 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffxxaxax. What is prob of picking 1 a and 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1358, 60 in descending order.\nAnswer: 1358, 60, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 44 = -4*k - 260, 5*a + k = -360. Let n = 6 - a. Let p = n - 19. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 20 = 4*o + o, 0 = -k + 5. Suppose 4*h + o = 13. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13*i - 52. Let a be z(-4). Solve -4*y - q + 15 = a, 3*q + 45 = 5*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 1480 = -1561 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13545, 24823, 43627, 69963, 103837?\nAnswer: 145255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -20*w + 22*w + 4, w = 3*k - 3. Which is greater: -170\/231 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a. Let t be j(-3). Suppose -t = -5*l + 177. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7923540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10859397 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2496 divided by -832?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5221500 to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + v**3 - 2*v**3)*(-v - 30 + 30) + 1166*v**2 + 2*v**4 - 601*v**2 + 2*v**3 - 4*v**3.\nAnswer: 3*v**4 - 2*v**3 + 565*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -86*d + 5. Let n be f(-5). Suppose -46*u = -41*u - n. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 134*f - 1. Let i(s) = 538*s - 4. Let y(a) = 15*c(a) - 4*i(a). Let u(z) = 2*z. What is u(y(l))?\nAnswer: -284*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - o + o)*(-70 - 3 - 2)*(-o + 2*o + 0*o) to s*o + d*o**2 + r and give d.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srpassoosossoarprsso. Give prob of picking 2 a and 2 s.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 139 = -0*y - 3*d, 2*d - 6 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 + -94. Suppose 0 = v - 2*b - 24, -5*v + 4*b + 41 = -z. What is the remainder when 51 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-36))\/((-414)\/144)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (4 + -26 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206082081?\nAnswer: 37, 32596813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 319033424 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 341*k + 341*k. Let j(o) = -10*o - 6. Let n(c) = 2*c. Let y(w) = j(w) + 3*n(w). What is y(u(q))?\nAnswer: -8*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3396 + -3393. Let b(j) = -j**2 + 1. Let o(l) = 2*l**2 - 2*l + 1. Let g(p) = b(p) + o(p). What is g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2487, 1, -0.2, 9, 2160 in increasing order.\nAnswer: -2487, -0.2, 1, 9, 2160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.9 + -7.6. Let v = 14.49999831 + d. What is v rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4502 is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 591470405 to the power of 1\/3, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 3, -152, -147 in decreasing order.\nAnswer: 49, 3, -147, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.2776 + 0.2776. What is the nearest to 3\/4 in 5, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 8*o**3 - 982 + 493 + 488. What is n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1854 and 10.076.\nAnswer: -18680.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14 - 27) + 12 - (-25 - -18)) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3*w)*(16 - 6 - 178) in the form m*w + y and give m.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 6, f: 5, c: 2, h: 1, u: 1}. What is prob of sequence fu?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6*2\/24*16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**27*k*k)*k)**(-17))**(-19\/4))**(17\/5))**43 assuming k is positive.\nAnswer: k**(-6375051\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 90. Let k be 0*(j + (-7)\/14). Solve 2*c - 3*z - z - 24 = k, 2*c - z = 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41127 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/10)\/(15\/(-40)). Sort -0.3, -4, d in ascending order.\nAnswer: -4, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(8\/3 + -5 + 4). What is the second derivative of -95*c**4 + 0*c + 49 + 257*c**s + 49 + 95*c**4 + c wrt c?\nAnswer: 5140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 22 + 53*j**2 - 65*j**2.\nAnswer: -12*j**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/99 - 1\/9. Let i(k) = k + 6. Let l be i(-6). Is m less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.23739527 rounded to 2 decimal places?\nAnswer: -61.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*m - 110 = 0, 3*m = 6*u - u - 136. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.31 (b) 1\/4 (c) -14\/143 (d) 1\/6 (e) 1\/8 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-8))\/(2\/(-468)). Suppose -4*m + x - 19 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455 + 477. Solve 2*a + 3*a - 2*i - 11 = 0, 4*a + 5*i = j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 19 = -12*g + 14*g, -o - 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8009 (base 14) to base 2\nAnswer: 101010111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*r**3 + 4*r**2 - 78*r**3 - 19 + 144*r**3 + r to the form q*r + p + h*r**3 + f*r**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753 > -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*n + 261*n = -118*n + 4674 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 6. Let z(u) = -2*u - 11. Give z(j(g)).\nAnswer: -10*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a tonne in kilograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times -765.93\nAnswer: 84.2523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2882632\nAnswer: -5\/2882632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p - 4*v, p - 2*v = -6*v + 4. Suppose -25 = p*m - 89. Suppose g - 40 = m. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270 divided by 2?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -3)*(-3 + 1). Solve -5*p = 4*u + 7, -12 = i*u + u - 3*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**2 - 342804*p - 342802 = 0?\nAnswer: -171401, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139*i**3 + 310*i**3 - 139*i**3 + i**3 + i - i + (i**2 + 4*i**2 - 4*i**2)*(i + 5 - 5) - i**3 + i**2 - i**2.\nAnswer: 33*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012 + 3419*d - 1708*d - 1704*d.\nAnswer: 7*d + 1012","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 682*m + 342*m = -344*m + 52, -p = 3*m - 25 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 24*q + 16176 = 0. Suppose -5*w - 1035 = -3*p, -w - 3*w + q = 4*p. List the prime factors of p.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103, -513, -1643, -3853, -7503, -12953, -20563?\n\"Answer: -60*n**3 + 10*n - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9110 * -0.5.\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*z - 7. Suppose 4*d = 3*j - 5*j + 38, -z*d = 2*j - 24. Let n = d - 3. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 10 = -5*q + 6. Put -2, q, 327.3 in descending order.\nAnswer: 327.3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2852)\/(-9982) + ((-46)\/(-56))\/(60\/(-16))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -204. Let d = 120 - g. Let y = 59 + d. What is the closest to y in -1\/5, -4, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 1:16 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 314?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-1 + 10\/6). Suppose -p - 2 = 4*b - 11, -2 = -y*p. Find the first derivative of 6*q**2 + q**b - 7 - 31*q**2 - 12 wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -222*z. Let o(x) = -747*x. Determine o(l(j)).\nAnswer: 165834*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24333 (base 10) in base 14?\nAnswer: -8c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937041073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7293)\/34)\/33 - (-10)\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1381 - 4941 - 725 + 816)*(0*h + 2*h + 0*h).\nAnswer: -12462*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224 - -129. Let s = -146 - n. Let h = s - -48. Sort h, -2.7, -2\/5.\nAnswer: h, -2.7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -25. Let s be (1*t)\/((-44)\/(-36) - 1). Solve 5*j - 6 = s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 8*v - 28. Let j be i(17). What is the highest common factor of j and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131865.\nAnswer: 5, 7, 73, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:08 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3371 * -19014.\nAnswer: 6409.6194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipgppgpppiippippggpp. Give prob of picking 2 i.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + v + 13, -44*v + 46*v + 2 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20901497.\nAnswer: 113, 184969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {r: 2, j: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 0*h + 0*h)*(-13 + 6 - 12)*(-h + 3 - 3)*(1 + 6 - 2).\nAnswer: 665*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -40349052.\nAnswer: -1\/13449684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1989)\/(-78) - 22) + (-1)\/(-1)*148\/8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117271100 rounded to the nearest ten thousand?\nAnswer: 117270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 16*r + 3. Let n be o(16). Let t = 34 + -13. Calculate the greatest common divisor of n and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325600 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 11691.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 + v**3 + 9*v**2 + 11*v + 4 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 10*z - 24. Suppose 3*r = -0*r + z. Suppose -r + 0 = -2*t. Let v(d) = -2*d - 2. Let p(m) = m**3 + 11*m + 11. Give t*p(k) + 11*v(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5 - 120*z**4 + 1636*z**3 - 6504*z**2 + 8590*z - 3600 = 0. Calculate z.\nAnswer: -72, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*g**5 + 107446*g**3*n**3 - 2*g**2*n**3 + g + 4392793*n**3 wrt g.\nAnswer: 5220*g**2 + 644676*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53\/3 + 18. Factor -1\/3*v**3 + l*v**4 + 0 + 0*v**2 + 0*v.\nAnswer: v**3*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649 + 703 = 9*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4590807 and 16536.\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpee when four letters picked without replacement from phpjehepjjjphpjpeep?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1981 (base 12) to base 6\nAnswer: -22241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f - 4. Suppose f*x - 251 = 145. What is the highest common factor of 165 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, 10, -4, -24, 4 in decreasing order.\nAnswer: 10, 4, 2, -1, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 288*x - 78. Let b be n(-3). Let a = 2152 + b. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 3*u - 25. Calculate a(-9).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (481\/(-39) + 12)\/1. What is the third smallest value in -2\/17, 39, k?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49)\/3*6\/2. Let n be (-4)\/(-14) + (-231)\/c. Factor 3*q - 6*q**3 + 2*q - 6*q + 2*q**4 - 2*q**2 + 5*q + 2*q**n.\nAnswer: 2*q*(q - 1)**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595155 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/36399 and 2\/9927?\nAnswer: 109197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 3639, -0.2, -111?\nAnswer: 3639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/3 - 105314*t + 947880 = 0. What is t?\nAnswer: -157980, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, l: 3}. What is prob of picking 3 l and 1 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -44 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11020122110121 (base 3) to base 15\nAnswer: -2e894a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/360)\/((-12)\/15).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 2:27 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2356 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 2*g - 19 = -10*x, 2*g = -x - 11. What is the units digit of x + -1 + 5 + (0 - -157)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -37*l**3 + l**2 - 2*l + 2. Let y be f(1). Let v = -11 - y. Calculate the greatest common divisor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k*y**3 - 71422738*k*y**2 - 2302020*y**4 wrt y.\nAnswer: 48*k - 55248480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*c - 12 = 0, 2*c + 110 = 5*u + 34. Let j = 2 - -60. Calculate the remainder when j is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/7 + 428*k**2\/7 - 44775*k\/7 + 477396\/7 = 0.\nAnswer: 12, 149, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -106?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 15*s**2 + 758*s + 3385. Calculate b(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1305 - -39143\/30. Let v = 1\/10 - o. Determine w so that 0 + 0*w - v*w**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-50) - (3 - (-214)\/(-85)). Which is the biggest value? (a) -0.155 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003175951 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*0.08139741.\nAnswer: 0.0056978187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.3913661 and -113.\nAnswer: -105.6086339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 529, 907, 1535, 2413?\n\"Answer: 125*j**2 + 3*j + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425, -401, -355, -281, -173, -25, 169, 415?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -60. Let t(n) = 10*n**2 + 8*n - 8. Let a(o) = -19*o**2 - 15*o + 15. Give v*a(r) + 11*t(r).\nAnswer: -4*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3+617607\nAnswer: 617610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**5\/90 - p**4\/18 - p**3\/9 + 3*p**2\/2 - 5*p. Let u(v) be the first derivative of t(v). Factor u(i).\nAnswer: -2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004848199 to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.02415 litres in millilitres?\nAnswer: 56024.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30901.\nAnswer: 13, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.62511 years to millennia.\nAnswer: 0.00762511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + v**2 - 5*v**4 + 202 - 203 in the form l*v**3 + y + h*v**2 + r*v**4 + s*v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 6 + (-3 - (1 - (-1 - -2) - 0))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10431190, -10431192, -10431194, -10431196?\nAnswer: -10431198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -12*t - 31 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345263 rounded to the nearest 10000?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18223348139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-2 + 5 + 1)**2 + -1 + sqrt(75) + -5 + 5*(1 + sqrt(75)).\nAnswer: -90*sqrt(3) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2100) + (sqrt(252)*2 - sqrt(252))\/sqrt(12))\/(1*sqrt(75) + sqrt(3) - (2*sqrt(30))\/sqrt(10)))**2*6.\nAnswer: 7581\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(144)*-2 - sqrt(144)) + sqrt(144))\/sqrt(8) + -3 + (sqrt(2) + sqrt(32) + -1)**2 + -4.\nAnswer: 8*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1683940 by 1.\nAnswer: -1683940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*f - 131*f + 4*n + 10 = 0, -2*f + 50 = -3*n. Suppose -2*o - l = -5, 2*o + 2*l - 4 = -0. Solve -4*c + 8 = 3*q, o*c + f = c + 2*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 74. Is (-3 - (-5)\/n)*(-447)\/(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/2340 and -103\/3120?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, c: 3, r: 1}. What is prob of picking 2 c?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -148 + 142 + -115.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -16. Let n(p) = -p**3 - 7*p**2 - 6*p - 7. Let t be n(h). Let v = -26 - t. Calculate the remainder when 19 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 2*p**2 - 90*p**3 - 6 + 2.\nAnswer: -90*p**3 + 5*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -899169 (base 14) in base 11?\nAnswer: -2702154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 8*y - 8. Let z be p(5). Suppose -z*v - 188 = -1112. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 7 - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {c: 1, l: 1, y: 6, m: 7}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011010101011 + 1111?\nAnswer: 1101011010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5489.\nAnswer: 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-2*t**3 - 3*t + 3*t) + 2 - 3*t**3 - 2 - 4*t**2 + 4*t**2 + t**3 + (-3 + 1 + 4)*(2*t**2 + t**3 - 2*t**2) + 3*t**3 - 16*t**3 - 3*t**3.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105382 = -5*o + 4*r + 302197, -196790 = -5*o - r. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 88. Which is the closest to -2\/7? (a) m (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 2. Let g be (6\/8)\/(1\/(-4)). Let m be -1 - g - (3 + 2 - 0). Calculate i(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12c9d - -73?\nAnswer: -12c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/17*r**2 + 2020\/17*r + 448\/17.\nAnswer: 2*(r + 112)*(9*r + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-1)\/((-774571)\/(-129101) + -6). Let k = n + 3736. Let 264\/5*c - k*c**2 - 72\/5 + 6*c**3 = 0. What is c?\nAnswer: 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (130\/(-572))\/((-20)\/(-16)). Which is smaller: n or 385?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -343*r**2 - 44*r**2 - 5*r**2 to j*r**2 + p*r + g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -469, -604, -793, -1036?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 35478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1023*z**4 - 944*z?\nAnswer: -12276*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.768 to 1 decimal place.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6519731873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 1.44. Let k = v + -3.6. Let o be 1*(-2)\/(-18)*-2. Put o, 2, k in decreasing order.\nAnswer: 2, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*u - 161, -4*u = -3*c - 101 - 147. Let q = u + -87. Let l = q + 116. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4220390858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 95*f**3 - 113*f**2 - 5. Let v(r) = -r**3 + 2*r**2 + 1. Let b(g) = -k(g) - 5*v(g). What is the third derivative of b(s) wrt s?\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8735688 less than -8735687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**3*n**3 - 5*f**3*n + 3*f**3 - 832*f*n**3 - 95*f + 7*n**3 - 70*n**2 + 4*n - 1 wrt n.\nAnswer: 60*f**3 - 4992*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q - 1\/60*q**5 + q**2 - 23 + 1\/24*q**4 + 1\/6*q**3 + 2\/15*q**6. Determine j(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*g**3 + 409*g**3 - 479*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -141, 0.06, -2\/15, 1\/6.\nAnswer: -141, -2\/5, -2\/15, 0.06, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/13164 + 88141\/5015484. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(0 - o**2 + 0) + (16 + 9*o - 16)*(3*o - o + 0*o) - 2*o + 5*o**2 + 2*o.\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-4)\/(-22)*-8. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/2 + -7 + 3. Suppose -29 = -s*q - 15. Let n(m) = m**3 + 4*m + 1. Let a(y) = -2*y**3 - 7*y - 2. Determine q*n(h) + 4*a(h).\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -15. Let s = f + -6. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -23. Let v(g) be the third derivative of 0*g**3 + h*g - 1\/12*g**4 + 0 + 2*g**2. Let y(w) = 2*w. Determine v(y(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 - 2*x - 8. Let p be w(-6). Suppose 0*m + 104 = p*m. Let l = -12 + m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26407 (base 10) in base 5?\nAnswer: 1321112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34b7 (base 13) to base 2\nAnswer: 1110011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3*s + 4)*(344*s**2 - 344*s**2 + 15*s**3) - 121*s**2 + 121*s**2 + 55*s**4 as x*s**4 + i*s + v*s**2 + o + r*s**3 and give x.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5 - 34*j**4 + 759*j**3 + 7360*j**2 + 19324*j + 15792 = 0.\nAnswer: -47, -4, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -29 + (5 - (8 + -5 + -6)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 33?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-25)\/30)\/5 + (-38)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 2, 5, -2 in decreasing order.\nAnswer: 5, 2, -2, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4663668 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -1. Let j = 0.01 + -5.01. Let v = 0 + j. What is the nearest to 1\/3 in a, v, 1\/12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320237261.\nAnswer: 8737, 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 + 9*k**2 - 8*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358413.\nAnswer: 3, 11, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*f = -0*l - 5*f - 35 + 14, -597 = -101*l + 3*f for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 1:56 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 201?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 98*j**2 - 2186*j + 6141. Calculate t(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/20 + (-2)\/(-5). Let r = -2.7 + -2.3. Which is the nearest to w? (a) r (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4145, 8410, 12773, 17234, 21793?\nAnswer: 26450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11399106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -407 + 2?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 92 = -120. Let s(l) = -8*l + 1. Let r(p) = -5*p + 9. Let o(y) = y - 2. Let f(t) = 9*o(t) + 2*r(t). Let u(i) = g*f(i) + 2*s(i). Give u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 3*r**2 + 1 - 3*r**3 + r**4 - 9*r**4 + 10*r**4 to k*r**2 + b*r**4 + t + p*r**3 + f*r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -80 - 10*a + 20*a**2 + 5\/2*a**3 = 0. Calculate a.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.89721 litres in millilitres?\nAnswer: 48897.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 5*q = -12*r - 25, -4*q + 24 = 2*r. What is the third derivative of -n + 138*n**5 + r*n**2 + 137*n**4 - 272*n**4 + 135*n**4 wrt n?\nAnswer: 8280*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111011100101000 (base 2) to base 3.\nAnswer: -10012210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9270, 1, 2, 64 in ascending order.\nAnswer: -9270, 1, 2, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-860)\/860 + 3\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/7 + 896*i + 25056\/7 = 0.\nAnswer: -3132, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 733.563 - 734. Round w to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38521 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2 + 2 + (3 - 3 - 2)*(-2*r + 0*r + 4*r) + 6*r + 2*r - r)*(7*r**2 + 4*r**2 - 10*r**2) to the form b*r + f*r**3 + z*r**2 + d and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 169*r. Let x(j) = 76144*j. Calculate x(d(n)).\nAnswer: 12868336*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 17290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 29 - 736*k**3 + 9*k**2 + 734*k**3 + 2*k - 12. Let g be o(5). Let c = 2 - 0. Solve 2*i = -2*h + 2, -g*i - 1 = c*h - h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954684353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 575552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r + 2*r - 9*r + 10. Let d be m(-7). What is the greatest common divisor of d and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*s = -325*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 424*o - 1707. Let j be t(4). Which is bigger: 76 or j?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115 + 115 - 92*z + (4 - 2 - 1)*(2*z + z - z) + 5*z - z - 2*z - 1 + 3*z + 1.\nAnswer: -85*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -10*f + 162. Let p = f - 25. Suppose 2*w + 0*w = k - 1607, w - 3204 = -p*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4670 by 934.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 117*m**3 + 3*m**5 + 0*m**2 - 3*m**4 + 114*m**3.\nAnswer: 3*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(85)\/sqrt(5))*-4.\nAnswer: -17 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 340528253 take away -3892308?\nAnswer: 344420561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j**3 + j**2 - 1. Let v = 3 - 2. Let s be q(v). Suppose 18 = w - 3*u, -45 - s = -3*w - 4*u. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 4*a + 5*a - 2*a as c*a + d and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28183379 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 6 = -7*g. Solve 14 = -g*a + a + 3*w, -2 = -a + w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/60 - v**4\/24 + v**3\/2 - v**2. Let l be m(0). Let n(j) = 0*j - l*j + 6*j. Let w(r) = -2*r**2. Determine n(w(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258921 + 18421*u + 258921 to j*u + x and give j.\nAnswer: 18421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1200228, -2400079, -3599930, -4799781, -5999632, -7199483?\nAnswer: -8399334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 1 + 1 + 3 + 2*o - 3 + 213*o - 183*o - 140*o + (2*o - 3 + 3)*(1 - 3 + 4).\nAnswer: -106*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.123 (b) 14\/15 (c) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*t - 12, 2*t - 5*y + 0 + 11 = 0. Let b(c) be the first derivative of 8*c + 0*c**2 + 8\/3*c**3 + t. Let z(d) = d**2 + 1. Calculate b(m) - 6*z(m).\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*o - 19 = 0, -4*o - 5 - 15 = 0. Suppose r - 4 = -5*l, -r = l + v + 4. Let f(q) = -q**2 - 11*q + 9. What are the prime factors of f(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2984\/3357 + (-16)\/18. Let s(o) be the first derivative of -39 + 0*o + d*o**2 - 35\/4*o**4 + 41\/3*o**3. Find the third derivative of s(l) wrt l.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**10*s*s**(-2\/37)*((s\/(s*s**5))\/s)\/s**(4\/3))**39)**23 assuming s is positive.\nAnswer: s**(119899\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/8 - (-3)\/(-12). Let n(b) = -2*b**3 - 5*b**2 - 2*b + 3. Let g be n(-4). Suppose k - 2 = 4*f + p, g = 5*k + 2*f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4065 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: What is the units digit of 4908306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005447413 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 - 4*l**2 + l**2)*(-l + l + 6299*l**2 + 0*l + 1342*l**2) as h + r*l + n*l**4 + a*l**2 + b*l**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 381, 1557, 3511, 6237, 9729, 13981, 18987?\n\"Answer: -m**3 + 395*m**2 - 2*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - ((6 - 942) + 2). Suppose -j + 78 = 2*m - 163, m - a = -4*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2226 by 1113.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2635 (base 14) to base 7.\nAnswer: -25365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12*p + 2. Calculate j(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 3*f + f)*(-179*f - 87*f - 241*f)*(-f - 3 + 3) to t*f**2 + o*f + n*f**3 + u and give n.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, b: 8}. What is prob of sequence sb?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/33005*23 - (-988)\/82)*(-13)\/2.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (80\/(-24))\/(-2 + (-10)\/(-6)). Suppose -1344 = i*p - 5544. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:14 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 970 divided by -11487\nAnswer: -970\/11487","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 - (-2 + 6) - (2 - 119) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 3 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(6\/11)))\/(l\/l**21) assuming l is positive.\nAnswer: l**(237\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -286201*t**3*z + 2*t**2*z - 24*t**2 + 8*t*z - t - 52*z wrt t?\nAnswer: -1717206*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 10*v + 16. Let a be p(-11). Is ((-14)\/8)\/(1\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2903709811?\nAnswer: 113, 619, 41513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2468, 4951, 7480, 10079, 12772, 15583, 18536?\n\"Answer: 4*h**3 - h**2 + 2458*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbqbbqqbqqbsbbbs. Give prob of sequence bqqb.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 8*b**3\/3 + 11*b**2 + 76*b - 143. List the prime factors of m(-5).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17989 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*h - 2*h + 50, h - 5*a = 10. Let x be 2\/h*-3 - 18806\/(-10). What is x rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b = -148*b + 624 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -5*n - 3*h, -n - 45*h + 29 = -42*h. Which is bigger: n or 65\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 4. Let t(r) = r**3 - 15*r**2 - 2*r + 26. Let g be t(15). Calculate k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 11. Let d be b(11). Let g(a) = -a**3 - a + 43. Is g(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13242876, 26485735, 39728594, 52971453, 66214312, 79457171?\n\"Answer: 13242859*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let c be (-2)\/8 - (-5)\/r. Let s(d) = d**3 + 2*d**2 - 2*d + 1. Calculate the least common multiple of s(c) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99139.32 meters in kilometers?\nAnswer: 99.13932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by -6.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*(-586)\/1465.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -944 = 90*c - 3734 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -31, -92, -207, -394, -671?\n\"Answer: -3*f**3 - 4*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*d + 18, -3*d + d + 30 = 3*l. Suppose 5*b + l = 2*g, -b - 2*b - 16 = -4*g. Suppose -10*x + 7*x + 189 = b. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1509.9.\nAnswer: -9059.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 48. Suppose -h*s = -s - 4*l - 66, 0 = -5*s + 4*l + 165. What is the highest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*m**3 - 1209*m**3 + 623*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**8*f*(f*f**(1\/4)*f)\/f*f)\/((f\/f**(1\/7))\/f*f*f**(-1)))\/((f**(-1\/4))**(-35)*(f*f**(1\/4))\/f**(2\/17)) assuming f is positive.\nAnswer: f**(-6421\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from nqnnnqnnnnnnqn.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 6042*z.\nAnswer: -2*z*(z + 3021)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1677550 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 7}. What is prob of picking 2 r?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4412*t**2 + 4412*t**2 - 186*t**4)*(1 - 6 + 4).\nAnswer: 186*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -835*x**3 - 5*x**2 - 11*x?\nAnswer: -5010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l. Let k(x) be the second derivative of -79*x**4\/12 + 24*x + 19. What is k(g(o))?\nAnswer: -6399*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.274 and 0.1749?\nAnswer: 0.0479226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 2 + -6 + 3297517. Let a = k - 32948509\/10. Let z = a + -2655. Calculate the common denominator of 29\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from uuqujjqujuj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 30 = -5*a, 4*a + r + 4*r + 5 = 0. Let v be (14\/(-35))\/(a\/(-50)). Solve 3*f + v*o = -27, -2*f - o - 7 = -2*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 + 3*t**2)*(-2*t**2 + 4*t - 4*t) + t**4 + 6*t**4 - 3*t**4 + (-4*t + 2*t + 3*t)*(-1 + 2*t**3 + 1).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 792985\/252 or 3148?\nAnswer: 792985\/252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1103400 - 1?\nAnswer: 1103344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. Suppose 4*b - 4*m - 28 = 0, 3*m = -2*m - 20. Let j be b\/6*-10*v. Is -4 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -479a851 - -2?\nAnswer: -479a84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyytp. Give prob of sequence qyt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 2404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 148.3423l?\nAnswer: 148342.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*n**2*s**3 + 3*n**2*s**2 + 2*n**2 - n*s**4 - 1766*n*s**2 - 3*s**4 - 2*s**3 wrt s.\nAnswer: -552*n**2 - 24*n*s - 72*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j + 39*j + 26*j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 23*d**3 - 6*d**2 - 2*d + 25. Is v(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004241485 rounded to five dps?\nAnswer: -0.00424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 + m. Let a = -11 - -17. Let w be 45\/20 + a\/8. Suppose 4*d + 9 = -w*t - 2, -3*t = 15. Give f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31182 times -5\nAnswer: -155910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 45. Calculate the remainder when ((320\/56 - 14\/(-49)) + -73)*-1 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 44. Suppose -6*h = -n - 2*h - 33, -5*n - 4*h = 45. What are the prime factors of g(n)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + z + 571, -3*i + 0*z = -4*z - 346. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7822*h - 179903. Let g be a(-23). Determine z so that 48\/7*z - 2\/7*z**g + 6*z**2 - 88\/7 = 0.\nAnswer: -2, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 81. Let m be 1\/2*12*13. Calculate the least common multiple of r and (2\/(-6))\/((-2)\/m).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 27 - 9 = -2*j, -4*m - 26 = -j. Let g(q) = 5*q**3 - q**2 + 1. Let r be g(1). Put -0.5, r, 2, j in decreasing order.\nAnswer: r, 2, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 53?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*t + 169, -w - 14 - 69 = t. Let u = -1919\/24 - w. Calculate the common denominator of u and 83\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 27*q - 4. Let u be n(3). Let t = u + -387\/5. Suppose -3*m - 2*v = -0*v + 7, -3*m = v + 2. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*c**3*u**2 + 614*c**3 - 2*c**2*u**2 - 485288*c*u**2 + 4*u**2 wrt c?\nAnswer: 1428*c*u**2 + 3684*c - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 67, 68, 69, 70, 71?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26c111 (base 15) in base 7?\nAnswer: 21560122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5818, 5827, 5850, 5893, 5962, 6063?\n\"Answer: j**3 + j**2 - j + 5817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 7\/(3*(-2)\/18). Calculate the highest common factor of q and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -34 + 30 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4 - 2484*p**3 + 768794*p**2 + 1545048*p + 773768 = 0. What is p?\nAnswer: -1, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2264993 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*j - 1479 + 527 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2865257 years in months?\nAnswer: 3.4383084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18418 = 4*j + 103786. Let n = j - -103342. What is n rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/((-25)\/10)*5\/(-2) + 89431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 5*u**2 + 8*u - 19. What is n(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 2 + i - 4*i)*(0 - 4 + 2)*(53*i - 525 + 525) to j*i + u*i**2 + a and give u.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(27\/2)\/g*g*g)**(4\/5)*(g\/g**(-1\/5))\/g**(-9\/5) assuming g is positive.\nAnswer: g**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2853, -11436, -25741, -45768, -71517, -102988?\n\"Answer: -2861*g**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4170*q - 692223. Give v(-166).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108047359.\nAnswer: 7, 17, 29, 131, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h + 6. Let r(j) = -7*j + 7. What is -7*i(d) + 6*r(d)?\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*33)\/((-32)\/(-8) - 3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74488 smaller than 74508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1534.\nAnswer: -153.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let n(g) = 0*g - 3*g + 3*g + 2*g**i. Let w(s) = -2*s**2. Give n(w(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2. Let x(t) be the first derivative of 0*t**3 - 1\/6*t**4 + 0*t - 15\/2*t**2 + 14. Let u(q) be the second derivative of x(q). Calculate o(u(d)).\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46568982 or -46568980?\nAnswer: -46568982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 9*q + 3. Let i be c(9). Suppose 5*a - i*a = 0. Let r(f) = 0*f + a*f - f. Let v(p) = 5*p**2. What is r(v(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose w*h = r + 811, -4*h = 3*r - 1516 + 452. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(1*60\/(-390))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 768*v**2 + 585215*v + 6896. Determine p(766).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2342\/7 - 335. Sort 16, y, 8, 1\/4 in ascending order.\nAnswer: y, 1\/4, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121)\/55*(-37)\/((-370)\/100).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -10*z + 2*h + 41, -h = -3*z + 35. Which is bigger: 1065 or z?\nAnswer: 1065","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -671 - -134. Let t = k + 774. Does 79 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3458 or 3459?\nAnswer: 3458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 3*q**2 - q. Let l be x(3). Is -13\/6 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 48. Calculate the least common multiple of 814 and j.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136905?\nAnswer: 3, 5, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48905, 97806, 146703, 195590, 244461?\nAnswer: 293310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1416)\/48 + 30)*48\/96\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 58236*c + 116480. Give i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 1314750*f + 107775880.\nAnswer: 5*(f + 82)*(f + 262868)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 632212 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by 384709.\nAnswer: -218\/384709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709629 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*r - 3, -x - 1 + 5 = -4*r. Suppose -3*i + 37 + 50 = x. What is the remainder when 80 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34143.343 times 2\nAnswer: 68286.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 10) to base 14\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -10. Let d(m) = -m**2 - 5*m - 7. Let h(g) = d(g) - 2*s(g). What is h(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -35*n - 795. Let d(c) = 157*c + 3178. Give 2*d(t) + 9*q(t).\nAnswer: -t - 799","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17504455*s - 3284138.\nAnswer: 17504455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5289744 and 44004.\nAnswer: 100505136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.4 + 32.743. Let k = 0.34345 - b. What is k rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 2284.\nAnswer: 9136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3150 divided by -1\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1580 + -1501. Is 74 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.3, 4\/5, 7368, 0.2 in ascending order.\nAnswer: -4\/3, -0.3, 0.2, 4\/5, 7368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, 0.58, -38.27?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 1657 = -d - 1647, 2*d - 50 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 888 and 1443?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 2047356*j - 14331394.\nAnswer: -2*(j - 1023671)*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2718, 3027, 3308, 3549, 3738, 3863, 3912?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055338066 rounded to four dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 62*u + 3425. Let g be b(-52). Calculate the greatest common divisor of 4489 and g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 0 - -2 - -4. Suppose 30 = 3*p - 6. Let k = p - 12. Solve -n - 5*g - 18 - 3 = k, 0 = 5*n + l*g + 25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 7*v**2 - 5*v + 2. Suppose 2*x = 2*g - 18, 2*x - 4*x = -g + 16. Is z(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*w + 143 = 0, 6 = -4*t - 2*w + 128. Calculate the lowest common multiple of 6 and t.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 8*g**2 - 7*g - 9. Let f be u(7). Let k be f\/(-6)*(-8)\/(-42). Let y be (1\/3)\/(2\/(-6)). What is the nearest to y in -0.2, k, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -14, -25, -56, -113?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4043, 10667, 22419, 41861, 71555, 114063, 171947, 247769?\nAnswer: 344091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35951, 143530, 322749, 573614, 896131, 1290306, 1756145?\nAnswer: 2293654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -22 + (-2 - (-10 + 10))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 - -277. Does 70 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 56.08495 and 963856?\nAnswer: 963799.91505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 15. Let k = 3 - i. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*f + 73. Let q be 75 + -80 - -7*10. Calculate the greatest common divisor of f and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -8, -17, -26, -35, -44?\n\"Answer: -9*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/4 + 21*h**2\/4 + 3*h\/2 - 30.\nAnswer: 3*(h - 2)*(h + 4)*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*s + 76 = 0, -2*f + 0*s + 56 = 2*s. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {f: 1, x: 1, v: 1, h: 2, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 44. Let y = -0.12 + 0.22. What is the closest to 1 in -0.4, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Suppose s*w + 58 = 2*o, -o = -w - w - 31. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**5 + 99078*p**4 - 49071*p**2 wrt p.\nAnswer: -120*p**2 + 2377872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-2*4)**2 - ((sqrt(320)*1 - sqrt(320)) + 1)**2) + (sqrt(500) + 0 - sqrt(500))**2 + (1 + sqrt(5) + 2)**2.\nAnswer: 6*sqrt(5) + 20493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 - 9*w**3 - 9*w + 0*w**3 + 0*w**3 - 8*w**3.\nAnswer: -12*w**3 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -150?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 2)\/(-8 + 10). Let q(h) be the first derivative of 9*h + 1\/2*h**2 - 5. Calculate q(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/(-348) + 8\/48. Suppose 6*t - 4 = -58. Let n be (3 + 30\/t)*(0 - 3). Which is greater: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 13. Let a(o) = o**3 - 4*o - 3. Determine a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m + 0*m + 2*m + 37*m + 83*m + 59*m + (2 + 1 - 5)*(-m + m - 3*m) - 2*m + 2*m - 2*m.\nAnswer: 179*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, 16, 70, 158, 286, 460, 686, 970?\n\"Answer: t**3 + 8*t**2 - 5*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in 1, 0.07, -3\/5, 22, 8\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is ((66\/24)\/((-2)\/(-6)))\/(3\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 2*l - 2. Let v(i) = 2*i**2 + 3*i + 3. Let w(g) = 9*d(g) + 4*v(g). Let o be w(-4). Solve z - 3 = o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -63*n**2 + 7*n + 6. Let p(a) = 11*a**2 + a + 1. Calculate -6*p(q) - u(q).\nAnswer: -3*q**2 - 13*q - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3457, -11001, -18545, -26089, -33633, -41177?\nAnswer: -48721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10575 or 10542?\nAnswer: 10542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(170)*2 + sqrt(170)*-1*1)\/(sqrt(80)\/(sqrt(32)\/sqrt(4)*5)).\nAnswer: -45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**2\/2 + 5*l - 1084. Suppose -2*i = -4*u - 2 + 20, 5*u = 5*i + 20. What is the least common multiple of 6 and k(u)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5937965 and 535.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -46 (b) -3\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00976768 to 5 decimal places.\nAnswer: 0.00977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1020221 (base 3) to base 6\nAnswer: 4124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f - 33. Let o be b(5). Suppose 5*l + 10 = -m, 3*m - m - 4 = 2*l. Let d be 12*3\/(-6)*l. Solve 0*n = -a + 3*n + o, -4*a - 2*n = -d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 2 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 177333 - 2\nAnswer: 177331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2167 + 2168. Which is bigger: -5.4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - -129385.\nAnswer: 129384.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 9*o - 15 = -5*y, -12 = -4*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2108 - -2110. Solve 3*y = v - 14, -3*y - d = -4*v + 9*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, -4, 42, 3, 4, 0 in decreasing order.\nAnswer: 42, 4, 3, 1, 0, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 161, 166, 173, 182, 193?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (2 + 0 - (-3 - -8)) + (-426 - -434)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m - c, 4*m = c + 7 + 24. Let k = m + -8. Let t = -48.4 - -48. What is the third smallest value in t, k, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 118*t + 42. Let x(c) = 2*c. Calculate f(x(q)).\nAnswer: 236*q + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**7\/504 - o**6\/72 + o**5\/8 + 7*o**4\/6 - 22*o. Let f(s) be the third derivative of m(s). Factor f(x).\nAnswer: -5*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1368 divided by 12\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 + 14*h**2 - 5*h + 7. Let a(t) = -4*t**3 - 11*t**2 + 4*t - 6. Give 5*a(i) + 4*s(i).\nAnswer: -8*i**3 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 616050*a**5 - 2464418670*a**4 + 3338336912*a**3 - 1166242384*a**2 + 24058016*a - 127968 = 0. Calculate a.\nAnswer: 2\/185, 2\/3, 3999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - q + 1. Let h(o) = 12*o**3 - 2*o - 1. What is -h(u) + z(u)?\nAnswer: -13*u**3 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose 4*h = -2*s + 18, r*h - 6 - 11 = -s. Solve 0 = 3*c - h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwwx when four letters picked without replacement from {w: 6, x: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 7*v**2 + 5*v + 8. Let w(h) = h**3 + 6*h**2 + 4*h - 7. Let m be w(-5). Let x be 1\/m - (-176)\/32. Suppose 17 + 13 = x*f. What is j(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 30*w - 636. Calculate the smallest common multiple of o(45) and 612.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 12*y - 2 + 2. Let -9\/8*a + y*a**2 + 3\/4 + 3\/8*a**3 = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 712, -9048 in decreasing order.\nAnswer: 712, -3, -9048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 549\/8420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 159*z**2 + 151*z**2 - 2 + (9 - 1 - 3)*(-2 - 1 + 1)*(5*z**2 + 0*z**2 - 2*z**2) in the form a + f*z**2 + m*z and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v - 3*v - 2*v**2)*(8*v - 1 - 8*v + 5*v) to z + k*v**2 + l*v + u*v**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413490 (base 10) in base 16?\nAnswer: 159172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-15) - (-409474)\/65 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 5*(sqrt(13) + 1)*5).\nAnswer: -150*sqrt(13) - 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Solve g*f + 10 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1 - 1)*7\/14. Suppose -4*n - 5*y + 84 = q, -3*n + 2*y + 72 = 2*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 40 = 3*j - j, 3*y - j - 68 = 0. Suppose -1 - y = 25*g. What is the nearest to g in -2, -0.3, -23, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*h + 3*l + 93 = -233*h, -4*l = -4*h + 92. Let k(j) = j**2 - 24*j + 47. Determine k(h).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**3 + 3*p + 2. Let l(z) = -2*z**3 + 6*z**2 - 2*z - 1. Let q(v) = 3*v**3 - 7*v**2 + 2*v + 1. Let f(g) = 7*l(g) + 6*q(g). Give 3*f(h) + 2*s(h).\nAnswer: 4*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.9 + -32.4. Let m(f) = -f**3 - 3*f**2 + 2*f - 4. Let c be m(-4). Let y = -1 - c. Put w, y, 5\/4 in decreasing order.\nAnswer: 5\/4, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44160 by -138.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-4*-1)\/(sqrt(144)*4))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x - 48. Let u be f(8). Suppose u*i = 11*i - 366. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -322.7 + 35.7. Which is the second smallest value? (a) 1\/2 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25)\/(-8 - -3) + 65 is divided by -24*(1\/2 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose d = 2*d + t. Put -6, d, -3 in descending order.\nAnswer: d, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r - 4. Let p(h) = h + 2. Let n be p(-6). Let b be m(n). What is the greatest common divisor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-221)\/(-78) + 2 + -5. Let y = 143\/230 - 12\/23. Which is the smallest value? (a) y (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 573. Let k = c + 812. Is k a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*x = -4, -3*x - 18 = -4*a - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 - 94. Solve 3*z = -0*z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*p**2*t*y - p**2*t - 5*p**2 + 3*p*t*y**2 - 2*p*y**4 - t wrt y.\nAnswer: 11*p**2*t + 6*p*t*y - 8*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186590869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*q + 3*q. Let s be 0\/(6\/(-6))*(-3)\/(-12). Solve s*g + q = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a6 (base 12) to base 10.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = 18*p - 759. Solve -4*o + 5 = -2*v + 19, v - 9 = p*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**5\/300 + c**4\/4 - 15*c**3\/2 + 21*c**2 - 53*c. Let s(j) be the first derivative of h(j). Determine z so that s(z) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Solve -44*f**4 + 9*f**j + 2*f**2 + 11*f**3 + 2*f**2 + 16*f**5 + 4*f**2 = 0 for f.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 8 - 2. Suppose -f + 16 = z*f. What is the nearest to 1 in 2\/17, -0.2, f?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - -20) + -23.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -3, -3\/8, -3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -22. Let o = 1 + 0. What is the units digit of ((-10)\/t - o)*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*g*s**4 - 2*g*s**3 - g*s**2 - 57*g*s wrt s?\nAnswer: -1656*g*s - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.11573\nAnswer: 0.34719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -1, -127520, -3, 12?\nAnswer: -127520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 1}. What is prob of sequence rr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -37766 divided by -134\nAnswer: 18883\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**15*k)\/k**(2\/45))**(2\/11) assuming k is positive.\nAnswer: k**(1436\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3124 or 3135?\nAnswer: 3124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 12*t. Let g be f(-12). Suppose -z + g*z = -5. Solve 0 = -c + 2*c - z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234871.\nAnswer: 7, 13, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7 + 3 - 2*h**2 + 4. Let i(b) = b**2 - 1. What is r(i(f))?\nAnswer: -2*f**4 + 4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(216)*1 + sqrt(216)))\/(sqrt(8) + (sqrt(24) + sqrt(24)*1)\/sqrt(3) + sqrt(8)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -135, -7, 185?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -385, -506, -629, -754, -881, -1010?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 1166.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3059 + 13867. Is m a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2490 = 5*q, -139 = -5*m - q + 2339. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:05 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 23*p**2 + 14*p + 2. Let o(m) = -15*m**2 - 9*m - 1. Give 5*i(y) + 8*o(y).\nAnswer: -5*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**14\/(s*s*(s**(-18)\/s)\/s))\/(s\/(s**14*s)*s**(2\/11)\/s*s))**12 assuming s is positive.\nAnswer: s**(6048\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8648615780.\nAnswer: 2, 5, 7, 293, 210839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (181\/((-724)\/180))\/((-1)\/(-18)*-10).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1414*c - 210. Let b be z(-6). Suppose -31*i = -10*i - b. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (11 + -4)) + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1639151 * -0.9\nAnswer: 1475235.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/6 (b) -1 (c) 4657910\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 53*q + 114. Calculate a(-14).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by 27.\nAnswer: -136\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**7\/210 - z**5\/60 - z**2\/2 + 1. Let h(j) be the second derivative of l(j). What is the third derivative of h(i) wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100100110100011 + 1000?\nAnswer: 11100100110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - 4*w)*(-370 + 13*w**2 + 370) + 181*w**2 - 181*w**2 + 9*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2237, 3\/4, -63?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 3. Let v(u) = -u - 1. Let w(l) = t(l) - 3*v(l). What is the derivative of w(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6493012\/261 or -24878?\nAnswer: -24878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4169847 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1700, -6793, -15282, -27167?\nAnswer: -42448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*r - r + 51 = 0, -4*w + 44 = 4*r. Calculate the remainder when 122 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 29 + -17 + (0 - -2) + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -685270 rounded to the nearest 1000?\nAnswer: -685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:19 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 2*c**2 + 11*c + 101. Is i(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j)\/(j\/(j*j**8\/j*j))*(j*j**(2\/7))**50 assuming j is positive.\nAnswer: j**(499\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r + 3. Let x be o(4). Suppose -x*c - 2 = -c. Is c greater than or equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.89*-7.76\nAnswer: -6.9064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/13 in 4, 0.06, -247, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 2*z + 3*z)*(-32 - 105 - 106) as q*z + v and give q.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290 + 1208. Suppose 2*r + 4*q = q + 612, -3*r + k = 3*q. What is the greatest common divisor of 34 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**2 + i + 1. Suppose -5*s = 5*d - 410, 5*s = 5*d + 521 - 61. Let l = s + -88. Calculate g(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*w + 522, -4*h - 5*w + 504 = -197. Suppose -18 = h*s - 173*s. Which is the third biggest value? (a) -4\/3 (b) -2 (c) 4\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((0 - (-2 - -2)) + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-318)\/(-108) + -3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 14*q**2 - 13*q + 33. Let a be c(-15). Suppose -a*u + 171 = 3*w, -2*w - u + 234 = 2*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 1. Let s be n(2). Let u = s - 7. Solve 4 = -u*i + 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -37*t - 146 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1530 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78333 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 249678.816 to the nearest one thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -3314 in descending order.\nAnswer: -3, -4, -3314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 + 0)*(-r + 2*r - 2*r) - 2*r + 5*r - 4*r - 12*r + 13*r - 27*r)*(3*r - 2*r - 2*r) to the form x*r + u + b*r**2 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (381 - 766 - 949)*(-1 + 1 - d).\nAnswer: 1334*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -10. Suppose l*a = -a + 25. Solve -3*m = -4*r - 4, -a*m = -m + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -45018.\nAnswer: -4951.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 53, -3 in descending order.\nAnswer: 53, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 249 + -162. Let y = 81.9 - f. Round y to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 6064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + w + 5*w)*(-w**2 - 2*w**2 + 4*w**2) + 2310*w - 2310*w + 363*w**3 + (-2 + 2 - 2*w)*(4*w**2 + w - w).\nAnswer: 356*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*h**2 + 261*h + 1541025?\nAnswer: -124*h + 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:22 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.15 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-60)*1*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:47 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 237876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(121)\/(sqrt(22)\/sqrt(2)) - (-3 + (sqrt(55)\/sqrt(5))**2*-3).\nAnswer: sqrt(11) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 55*v + 188 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*p + 86 - 86)*(0 + 1 + 1)*((-1 - 2 + 2)*(-3 - 2 + 4) + 3 - 2 + 1).\nAnswer: -174*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 539.3313 centuries?\nAnswer: 53933.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**3 + 0*c**3 + 18*c**3 + (-c**2 - 3*c**2 + 5*c**2)*(0*c + c - 3*c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6861947211 to the nearest one hundred thousand.\nAnswer: -6861900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 7*u**5\/4 + 95*u**4\/12 - 5*u**3 - 26*u + 2. Factor j(l).\nAnswer: 5*l*(l + 3)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 less than or equal to 8.2131786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3\/26)*-3. Let d be 31 + (4 - (-35 - -74)). Sort m, d, 3 in increasing order.\nAnswer: m, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24 + 1\/((-1)\/(-1)). Solve -20 = -4*x - c - 4*c, -2*c = -5*x + k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/5 - (-1644)\/30. Let f be 788\/(-22) + (-10)\/r. Let c = f + 57. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 33. Let w = h + 14. Differentiate 4*t - 3*t - 7*t - 8 + w*t wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 37*c + 164. Calculate d(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 0, 3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 6*-1*1. Suppose o - 4 = y*o. Let q(j) = 9*j**2 - 1. List the prime factors of q(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -1050\/19, -9 in descending order.\nAnswer: 1, 0.4, -9, -1050\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) 4448 (c) -13 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 188*w. Suppose -4*m = -x - 27, 4*m - 40 = 2*x + 2. Let o be c(x). Round o to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 21. Let x = a + -18. What is the third derivative of -2*t**5 + 3*t**2 - x*t**5 + 3*t**5 + 0*t**2 wrt t?\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14961ca - 6?\nAnswer: -14961d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**2 + 3*t**3 - 11*t**2. Determine z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 + -4)) + -24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*t**3 + 33761*h*t*x**3 - 183*t**3 - 250*t**2*x**3 wrt h.\nAnswer: t**3 + 33761*t*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 59406*k - 3 + 7.\nAnswer: 59406*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(15) + sqrt(135)))\/sqrt(5).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - d - 6. Let p be h(0). Let a(k) = -k - 2. What is a(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/120 - (4 + 256410183\/(-45)). Round n to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1683\/19 - 5011\/57. Let q = -4.65 - -5. Let m = q - 0.05. Which is the closest to f? (a) m (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0244514 millimeters to micrometers.\nAnswer: 24.4514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/11)\/(r\/r**0))\/(r\/((r\/r**(-1\/3))\/r)*r)**(-5) assuming r is positive.\nAnswer: r**(233\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = -0. Which is the biggest value? (a) n (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80760978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -79, 3 in descending order.\nAnswer: 3, 2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m + 1. Suppose -m = -2*f - 0*f. Let l be (7\/2)\/(f\/2). Solve 2*k = l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -924 - -1009. Calculate the highest common factor of i and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-114)*2*((-150)\/(-20) + -9). Which is the nearest to 8? (a) 0.3 (b) 10 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 160\/52 + (2280\/(-208))\/19.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3414 (base 6) to base 16\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21012 (base 3) to base 2.\nAnswer: 11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 510 - 79?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1\/6)*t))\/t)\/((t\/(t*t\/(t**(1\/3)*t)))\/t) assuming t is positive.\nAnswer: t**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 219902923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -66. What is the common denominator of (-178)\/m - 2\/(-2) and 1*(1 - (-37)\/(-12))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/7 + 2550*k\/7 + 2551\/7 = 0.\nAnswer: -1, 2551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, -3\/28, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128745 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 23648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/690 and -68\/35.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11471194 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3560 divided by 5?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8108 and 19\/41.\nAnswer: 332428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30642 by 6.\nAnswer: 5107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14677 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 + 2*o. Let g be d(2). Let j(b) = g*b + 2*b**2 + 0*b. Let u(q) = q**2. Let s(i) = i**2. Let h(v) = -s(v) + 3*u(v). What is h(j(t))?\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -402927697\/1382934 - 1\/691467. Let y = d + 292. Calculate the common denominator of ((-254)\/(-14))\/(12\/14) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2148, -4138, -6126, -8112, -10096?\n\"Answer: b**2 - 1993*b - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - o + 1. Let n(l) = -l**3 + 9*l**2 + 11*l - 14. Let i(s) = -2*m(s) - n(s). Let b be i(8). Let p(g) = -g. Determine p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a factor of 2875718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m - 2365 = 26*m - 1411 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -394 - -406. Solve s*a - 16*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10221001022001 (base 3) to base 16\nAnswer: 1fd9b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*n - 17 = 0, -8*n + 3*n - 21 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/3587?\nAnswer: 2\/3587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 1800*h + 25984.\nAnswer: -4*(h - 464)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**2*o**3 + 75*l**2 + 2*l*o**2*z - 48*o**3*z**2 - 3*o**3*z + 4*o**2*z**2 wrt o?\nAnswer: -24*l**2 - 288*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {c: 2, l: 7, m: 4, j: 3, y: 2}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - w**4 + 49*w - 40*w + 2*w**4 + w**3 to j*w**3 + q*w**4 + y*w + a + n*w**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7095271?\nAnswer: 7095271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151699 is divided by 405?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2176 (base 9) to base 15.\nAnswer: -723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2142 and 1008.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 0 (c) 24 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42945842.\nAnswer: 2, 17, 1263113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328 + 432. What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -2252693978.8\nAnswer: -2252694006.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert a02b2a (base 13) to base 9.\nAnswer: 6887725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*m + 84 + 13 = i + 35, 3*i - 3*m = 120 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, 385, 1027, 1657, 2269, 2857, 3415?\nAnswer: 3937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2265 + 1220. Let c = 1045.01111 + w. What is c rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -13) + 5 + (-18 + -55 - (2 - -3)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12310*d - 33 + 36 - 3.\nAnswer: 12310*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -1047*t**5\/20 - 2025*t**2 + 1162*t. Differentiate u(r) wrt r.\nAnswer: -3141*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38925.01 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 1224*f**4 - 153644*f**3.\nAnswer: -f**3*(f - 1082)*(f - 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1532, -5 in increasing order.\nAnswer: -1532, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/3*((-91)\/14 + 7). Let s be (-1)\/(-1)*(5 + -7). What is the second smallest value in o, s, 0.5, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1815859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 z when four letters picked without replacement from {i: 2, q: 1, c: 2, z: 2, g: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -20*a**2 + 3*a + 61. Let u(j) = -62*j**2 + 8*j + 173. Let w(z) = -17*r(z) + 6*u(z). Calculate w(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 28 = 95. Suppose 2*x + 0*x = 34. What is the remainder when f is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 7*l - 23. Calculate a(3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f - 22. Suppose 4*c - 48 = 4*k + 20, -3*k + 5*c = 43. Let r be n(k). Suppose -r = -0*p - 5*p. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 3*i + 3, 2*i + 8 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72417, 72349, 72279, 72207?\nAnswer: 72133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 56. Solve 3*o = 5*h + 8, -2*o - b = o - 2*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 2.3165?\nAnswer: -2.3165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8512 is divided by 2128.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 522.\nAnswer: 17\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**(-1\/2))*l)\/l)**(-1\/82)*(l**(-1))**(-15))**(-1\/8))**(1\/71) assuming l is positive.\nAnswer: l**(-2461\/93152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2725*r - 1330*r - 1298*r = -10379 for r.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 1. Suppose -35 = -i*l + l. Calculate the least common multiple of 2 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.763 times -0.97?\nAnswer: -32.75011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -56*z - 10. Let l be y(4). Let n = -90 - l. Is n a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 19. Let f = l + 10. Let x(i) = -i + 3. What are the prime factors of x(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*q = -8, 0*q + q = 2*s + 3. Let k = -0.0273 - 0.1727. Which is the fourth smallest value? (a) 0.4 (b) k (c) 4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(1\/5)\/k))\/k*(k\/(k*k**(-1)))\/k*k)\/(k\/(k*k\/k**(-1)))**(2\/75))\/((k*k\/k**(3\/7)*k*k**2)\/((k**(-2\/13)*k)\/k**(1\/5))) assuming k is positive.\nAnswer: k**(-14141\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 p when four letters picked without replacement from {p: 3, m: 4, z: 1, v: 2, i: 1, e: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.624 + -1.534. Is -7\/19 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.99485 - -0.88215. Let g = -45.035 + 0.035. Let x = g + j. What is x rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 37. Let t(y) = -2*y**2 + 11*y - 10. Calculate the remainder when r is divided by t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.9524 - -0.0476. Let i = -18 + k. Which is the third smallest value? (a) 2\/9 (b) 0.11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1369 - 1377. Which is the fourth smallest value? (a) 2\/7 (b) -0.3 (c) -1.6 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-105) - 1\/(-5)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 5*m**3 - 4*m - 6*m + m**3 + 8*m wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2448) + -1 + (-3*sqrt(2448)*5 - sqrt(2448)) + sqrt(2448) + -5*(-2 + sqrt(2448)) + 0 + -3)**2.\nAnswer: -3192*sqrt(17) + 883777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228842?\nAnswer: 2, 7, 11, 41, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = y + 39, -4*o - 19*y + 6 = -24*y. Solve -13*d = -16*d + o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6772028?\nAnswer: 2, 23, 73609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69, -65, -59, -51, -41?\n\"Answer: g**2 + g - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 214?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 - 6*j - 41. Calculate the remainder when 106 is divided by h(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-36)\/16)\/(-3))\/(20\/(-160)). Let f(n) = -n**2 - 7*n - 17. Determine f(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1053299, -1053301, -1053303, -1053305, -1053307, -1053309?\n\"Answer: -2*d - 1053297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8716 divided by -4358\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8)\/b)\/b**(-2\/23))\/(b**11\/b)**(-18) assuming b is positive.\nAnswer: b**(3935\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (6\/4)\/(3\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 459599691*i**2 - 541192773 with respect to i.\nAnswer: 919199382*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, n: 2, m: 3}. Give prob of sequence nd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 618, -1, -4\/3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/14 - (-114)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = 2*a + 3*o, -a - 8 = 5*o. Suppose -13 - a = -5*z, -124 = -3*m - z. Calculate the remainder when m is divided by (15 + 1008\/(-120))*(3 + 1\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192112 and 40.\nAnswer: 960560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 4:20 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6743, 6745, 6747?\nAnswer: 6749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baw when three letters picked without replacement from {a: 1, t: 4, b: 2, w: 1, m: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = f + 1, -2*p = -2*f + 43 - 49 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 3*v)*(8 - 9 + 14)*(v - 3*v + 0*v).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 - 32*p**4 + 38444*p**2 - 2717*p - 620 wrt p?\nAnswer: 20*p**3 - 384*p**2 + 76888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l**2 + l**4 - 556*l**3 + 58*l**2 + 555*l**3 to b*l**2 + z*l**3 + s + v*l**4 + a*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2272182 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -477 - -172. Let o = -330 - h. Which is the smallest value? (a) -5 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-12)\/(-27)*(-6975)\/(-300)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.826299 + 0.047099. Let i = -15 - -15.0792. Let a = y + i. Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27527075215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 - 5. Let z(j) = j**2 + 4*j - 6. Let d be z(-4). Let v be q(d). Let l(s) = s. What is l(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 162 = -111 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*j - 2)*(-88*j + 3*j + 41*j) as a*j + w*j**2 + k and give w.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -104375626?\nAnswer: 104375623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 49, 96, 161, 244?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s - 2 + (1 + 2 - 2)*(4*s - 5*s - s))*(-1 + 2 - 12).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482589367.\nAnswer: 13, 107, 233, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22 + -44)\/(2 - 4\/((-56)\/(-29))). What is the highest common factor of f and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 41. Let u(l) = 5*l + 62. Let t(g) = 8*c(g) - 5*u(g). Let b be t(20). Let p(o) = 53*o**2 - 7*o - 9. Is p(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 91 = 25. Let o(l) = w + 3 - 4 + 4*l - 5*l. What is o(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*u - a, -3*u + 62*a = 58*a + 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5330 by -1066.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156709 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3 = 0, -58*n - 3*x - 17 = -54*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1258278.\nAnswer: -5\/1258278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45645 and 23460.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 32*u**2 - 31*u - 74. What is r(33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(-2*(1*sqrt(304) + -1 - sqrt(304)) - ((sqrt(304)*2 + 3 - sqrt(304)) + 2)))**2.\nAnswer: -33804 - 2592*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 91 - 43. Let q = -39 + 81. Let n = q - i. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 4:23 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -179, -1\/6, -1, -5\/3, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -3\/4 (b) 0 (c) -0.018 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 32 = -77. Let v(g) = -12 + 3*g + z*g - 9. Let h be v(7). What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6942152 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l**(1\/2))\/(l**(-4))**(-4\/5) assuming l is positive.\nAnswer: l**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 15*r + 2997. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 1841 + 5361 = 169*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -38568.85 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36345*k**4 - 5*k**3 + 19683*k wrt k?\nAnswer: 436140*k**2 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4097 - 4100. Let j = 25 - 39. Which is the third biggest value? (a) -1\/4 (b) k (c) 0 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1143)\/(-254)*5\/(180\/14).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-50.114\nAnswer: -50.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20138328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110 (base 2) in base 14?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -131951.8\nAnswer: -527807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from {s: 6, l: 1, f: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1304, -1229, -1152, -1073, -992, -909, -824?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -62959697 - 2\nAnswer: -62959699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 49.4542.\nAnswer: -197.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10335, -10334, -10333, -10332?\nAnswer: -10331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -46*w + 18. Let f be q(-5). Suppose 8*n - f = 56. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4602024.9ns?\nAnswer: 0.00000127834025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:30 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 311*m = -306*m + 10 + 12, -4*t + 15*m = -87 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 3*a**2 - 5*a - 1. Suppose -2*r + 84 = 4*x, -49 - 63 = -5*x + r. Suppose 4*m - 3*d + d = x, -5*d + 23 = 3*m. Is n(m) 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) -3 (b) -1\/4 (c) -4 (d) -5 (e) -39 (f) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -1. Let i(l) = 6*l - 21. Let p be i(-5). Let v = 42 + p. What is the smallest value in 1\/3, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/(-80)*(-12 - (-492)\/36)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.2, 2\/15, 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.9 plus 31?\nAnswer: 84.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6808.7 - 6809. What is the nearest to 4 in 1\/3, 2\/9, q, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.9 + -101.1. Let y = -34 - o. Let s = 69 - y. What is the second biggest value in 1, s, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 60*g - 1765. What is d(48)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7 + 4. Let l = -12\/7 - -59\/14. Which is the closest to 0.1? (a) 2\/7 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 3\/8, -0.3, 38, 4\/3, 1 in descending order.\nAnswer: 38, 5\/3, 4\/3, 1, 3\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m**3 + m**2 - m - 10. Is 101 a factor of b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/23089 and -29\/23089.\nAnswer: 23089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4240560 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-21)*1610\/3450.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 53*h**3 - h**3.\nAnswer: 52*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 216 = 2*g, -38*u + 16*u + 17*u = 62 - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.438021 minutes?\nAnswer: 566281260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 136a6 (base 12) to base 16\nAnswer: 691e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 8. Let y(v) = v - 7. Let q(o) = -5*m(o) - 4*y(o). Let b be q(18). Let s be 4\/2 - b\/(-2). Solve p = -n, -4*p = 5*n + s - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + 4 - (1 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/171047?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/24 and 143\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6157.388 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14747683 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 30. Let i be j(14). Suppose 3 = i*a - 5. Suppose -a*c - 1 + 25 = 4*m, -4*c + 2*m + 12 = 0. What is the greatest common factor of c and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0242 + -0.2242. Let r = -60 + 58. Sort p, r, 0.2, -1\/4.\nAnswer: r, -1\/4, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29615 - -126715. What is q rounded to the nearest 1000?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-22))\/((-1)\/(-22)*-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 1. Let u(d) = -7*d - 4. Let o = -43 - -40. Determine o*z(v) - u(v).\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -17. Suppose 30 = -a*q + 50. What is the second derivative of -21*n + 531 - 531 + q*n**2 + 3*n**2 wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - f**2 + 0)*(0*f - f + 2*f) - 32*f**3 + 177 - 88 - 86.\nAnswer: -33*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32207186 divided by -2927926\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 9*c**2 - 28*c - 124. What is x(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -7, -4, 2.\nAnswer: -7, -4, -3, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -7 (b) 1\/3 (c) 4\/7 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3150103*h**3*x - h**3 - 811*h**2 + 552*x wrt h?\nAnswer: -18900618*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16914)\/9)\/((-8)\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10439172 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7) - (sqrt(49) - sqrt(49)*-2 - sqrt(49))\/sqrt(7)).\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 13 (c) 3 (d) 249\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 1192*x - 11805*x.\nAnswer: -10613*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 15 + 18 + 16 + 14*b.\nAnswer: 14*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, b: 1, z: 2}. Give prob of picking 2 l and 2 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*r**4 + 280*r + 28690 wrt r?\nAnswer: 80*r**3 + 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/226 and 77\/4.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535 (base 6) to base 13.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 + 2. Let g(z) = -z**3 - 3*z**2 - 3. Calculate -4*g(r) - 3*l(r).\nAnswer: r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9091317?\nAnswer: 3, 1289, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -8. Suppose 2 = -c*v - 10. Is v equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/7 + 108*l**2\/7 + 134*l\/7 - 1320\/7 = 0.\nAnswer: -4, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 + 3 = 52*d + 646 - 5416 for d.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29596*h**4 - 1961*h**3 - 281399416*h**2 wrt h.\nAnswer: -710304*h - 11766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63906708?\nAnswer: 2, 3, 5325559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5\/5 + 2160784*l**4\/5 + 58361911512*l**3 - 583660170288*l**2\/5 - 875441637612*l = 0. What is l?\nAnswer: -270099, -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -15. What is the remainder when 27 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -8\/33*q**3 + 0 - 4\/11*q**2 - 5\/66*q**4 - 4*q - 1\/110*q**5. Factor k(j).\nAnswer: -2*(j + 1)*(j + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 499085649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2580841, -10323296, -23227367, -41293054, -64520357, -92909276, -126459811?\nAnswer: -165171962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 6)*(-2 - 1 + 5)*(-3*k + 3*k + 3*k) in the form o*k + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16855169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574705*h - 268804*h + 228150*h - 500441*h.\nAnswer: -1115800*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + -0.5391.\nAnswer: -0.5191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 0. Which is the smallest value? (a) 0.1 (b) l (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**3 + 4*o**2 - 1376*o - 38806 wrt o?\nAnswer: -6*o**2 + 8*o - 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 10. Let n be -16 + 4 + k\/(-2). Let p = -11 - n. Solve -2*o + 1 - 23 = -p*d, -3*d + 19 = -4*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - -2.3. Let n = h + -3. Let i = -51 - -205\/4. What is the closest to i in -2\/7, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 49 = 3*j, -j - 15 = -4*j. Suppose -k = 148*q - 152*q. Suppose -2*c - q = r + 4*r, 2 = -c. Solve 0 = -2*u - 3*y + 12, r = 4*y - y - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 116*l - 5706 = 113*l, -2*a + l = -11412. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - o - 10 = 0, -5*o + 4 = -4*b + 2*b. Let k = 1 + b. Suppose k*a - 5 = -a. What is the biggest value in a, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151084 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000101001100010110 (base 2) in base 12?\nAnswer: -969786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245312637?\nAnswer: 3, 151, 541529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/100590377 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46350 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.66 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 17*n - 2*n**4 - 2*n**3 + 2 - 2*n**2 - 4 + 3*n**3 + 0*n**3 to d + l*n**4 + p*n**2 + i*n**3 + j*n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(475) - sqrt(19)) + 1).\nAnswer: 2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926056848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 239677704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -8*t + 5*z, -3*t = 155*z - 160*z - 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 172. What is the greatest common divisor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*o + 15 = 0, -5*l = -3*o - 16 + 1. Suppose -836 = -86*k + 6*k - 129*k. Let j(a) = -a + 2*a**2 - 3 - 3*a**l + k*a**3 - a. Determine j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794877 (base 11) in base 14?\nAnswer: 24d290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-432)\/(-126) + 1 + -4. Let j = 0 + 3. Suppose -19 = 3*y - 22. What is the nearest to y in i, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4137*b + 14 = 5*f + 4133*b, b = -2*f + 16 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107403 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 + 266?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/348)\/(6 + -2 + (-11)\/3).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 + 2*s**2 - s + 144. Let g(c) = c**3 + c - 1. Determine -2*g(v) - r(v).\nAnswer: 3*v**3 - 2*v**2 - v - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-10))\/(1\/10). Suppose -s = s - o. Suppose -s*y + 69 = -5*b, 0 = -3*y + y + 2*b + 54. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1.6 (c) -1 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4095757.\nAnswer: 29, 141233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.49, -5, 11, 6 in increasing order.\nAnswer: -5, -0.49, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.3 (c) 2\/85 (d) 0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:37 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1454950 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8391, 16588, 24785, 32982?\n\"Answer: 8197*c + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.856 - 0.144. Put d, 3\/2, 9, -3 in increasing order.\nAnswer: d, -3, 3\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 879642*c**4 - 154*c**3 - 864264*c**2 - 58*c wrt c.\nAnswer: 21111408*c - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from pfffpfffopp?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274257.\nAnswer: 293, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6342069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/14152 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 67492 and -1.142.\nAnswer: 67490.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 756?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7506 + 7506 - 3*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*m + 643.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 - 462*w - 18620 = 0. Calculate w.\nAnswer: -35, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -5, -3, -185, -2, -12, 1.\nAnswer: -185, -33, -12, -5, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1303*y**3 + 3*y**2 - 3*y - 1443. Let j(i) = -1304*i**3 + 4*i**2 - 4*i - 1440. Let x(f) = -3*j(f) + 4*o(f). Differentiate x(r) with respect to r.\nAnswer: -3900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17*1*(-25)\/(-85). Solve -4*k - 3 = -u*k, 2*a - 2*k + 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*m + 15 + m**3 + 60*m to l*m + w*m**2 + d + u*m**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 12434*l**3 + 24876*l**2.\nAnswer: -2*l**2*(l - 2)*(l + 6219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/468*-1*3)\/((-7)\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -11802171?\nAnswer: 11802158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22662577, 22662604, 22662631, 22662658?\nAnswer: 22662685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/15, -174 in ascending order.\nAnswer: -174, -5, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhho when four letters picked without replacement from hxhoxxxh?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -226027, -226022, -226013, -226000, -225983?\n\"Answer: 2*z**2 - z - 226028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -40. Suppose 3*x + 11 = -r*l, -5*x + 4*l + 13 = -18. Is x less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(72))\/(sqrt(378)\/sqrt(6)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.109 - 22.891. What is the third smallest value in p, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-4 + 0 + (sqrt(7) + sqrt(343) + -3)**2 - (sqrt(448)*-1)\/(sqrt(4) + (sqrt(4) - sqrt(16)\/(sqrt(8)\/sqrt(2)))).\nAnswer: -48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 931565130 to the nearest integer?\nAnswer: 30522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -223.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o. Suppose 2*t = -o*t + 106. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46 - (-4)\/6*-3. Let k = -263 + 373. What is the highest common divisor of k and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 0) + 7 + (0 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 243*g. Suppose 5*d - 261 + 36 = 0. Let i(c) be the third derivative of -11*c**4\/24 + 355*c**2. Determine d*i(v) + 2*r(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 937207709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 9*l - 3. Calculate the remainder when f(14) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 x when four letters picked without replacement from {x: 1, u: 8, p: 10}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12330 - 12330.00014222. What is h rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/184)\/(1\/(-24))*(-42)\/(-28).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140348572 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1904, 7640, 17202, 30590, 47804, 68844, 93710?\n\"Answer: 1913*l**2 - 3*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 20 - 3 - 6*l + 3*l. List the prime factors of s(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + 66 + (0 - 5) + 5 - (-103 - -1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/7)*v*v\/(v\/v**(-1\/7))*v*(v**2)**(-1\/4) assuming v is positive.\nAnswer: v**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {q: 2, u: 2, e: 1, p: 1, s: 2, o: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17192520 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*k**2 + 130*k**5 - 13*k**2 + k - 14 + 0*k wrt k.\nAnswer: 2600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 36*u + 10. Determine p(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 126\/18 - (1 + -1 - 63)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + j = -18 + 4, -3*x + 3*j + 6 = 0. Let c = x + -2. Let z(o) = o**3 - 4*o + 4. Is 18 a factor of z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -w - 9, 2*w - 3*x - 10 = -25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.293273 grams in tonnes?\nAnswer: 0.000007293273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*p - 1. Suppose 2*k + 14 = p*k. Suppose -3*u + 2 + k = 0. Let w(f) = f + 3. Give w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 11 = -2*r. Suppose 13 = 3*p + k, 3*p - 8*k = -3*k - r. Find the second derivative of -y - y**3 + 0*y**3 + 0*y + 3*y**p wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689930696 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a + 2*a + a. Let s(r) = 18*r**2 + 25*r + 5. Let b(c) = 8*c**2 + 10*c + 2. Let d(i) = 10*b(i) - 4*s(i). What is x(d(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Let l be -1 - 2*1*-2. Suppose 5*j + 5*b = 10, 4*j - l*b - 5 - 10 = 0. Solve 0 = -j*r - n - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.106864708 rounded to 3 dps?\nAnswer: 5.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 + 1783*y**2 + 211186*y - 1719. What is l(-431)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2 - 6*o + 6. Let n(b) = 2*b**2 - 2*b - 3. Let g(h) = h**2 - h - 1. Let w(a) = -5*g(a) + 2*n(a). Calculate -i(s) - 6*w(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 + 79 + -32 - -99?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 192.2962062.\nAnswer: -192.5962062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -8737 = -8737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 15*o + 1288. Let w be 15\/6*(3 - o\/(-30)). Which is the closest to -4? (a) -3 (b) w (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4606\/(-15) - (-8)\/12. Let n = s - -308. Factor -8\/5 - 2\/5*x**4 + 6\/5*x**2 + 4\/5*x**3 - n*x.\nAnswer: -2*(x - 2)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzsddzssszds. What is prob of picking 3 s and 1 z?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -6, 796, -4 in increasing order.\nAnswer: -6, -5, -4, 1, 796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1072*l**3 - 24*l**2 + 10*l - 98. Let d be n(-23). Round d to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 2*(-5)\/10. Let a(l) = l - 1. Let z be a(2). Suppose 3*s = -2*c + 6*s + 5, 2*c + 15 = -s. Put c, z, q in decreasing order.\nAnswer: z, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 23316975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.1909 (b) 3 (c) 0 (d) 0.5 (e) 0.3 (f) -1 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.4 (c) -1\/180 (d) -124 (e) 1 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 94. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 10, -5, -0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 66 + 99. What is the lowest common multiple of 24 and d?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-71121)\/12 - -11)\/(2\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s**3 - 9*s**2 - 5*s - 71. Let b(t) = 7*t**3 - 5*t**2 - 2*t - 35. Let x(l) = -5*b(l) + 2*d(l). Differentiate x(u) with respect to u.\nAnswer: -27*u**2 + 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 13*c**2 - 16*c + 9. Determine a(11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9857342, 9857273, 9857190, 9857087, 9856958?\n\"Answer: -u**3 - u**2 - 59*u + 9857403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -24. Suppose 5 = 3*n - 2*n. Suppose -s = -n*s + 36. What is the greatest common divisor of s and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3 + 27*d**2\/4 + 17*d\/4 - 3\/2 = 0.\nAnswer: -6, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -10, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/5*((-4725)\/36)\/35 - -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllll. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2. Let o(z) = -168153*z. What is t(o(q))?\nAnswer: 56550862818*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 10:34 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 4*u + 162 = 0. Calculate the remainder when 80 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -53684\/2303 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3681?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 116, 169?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 10749195.\nAnswer: 32247585","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253 - 53922*x + 53917*x + 668 to y + l*x and give y.\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115835266 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 17 = -t - 0*r, -3*t - 3*r - 3 = 0. Suppose -5*u - 35 = -2*g, -t*g - 4*u = g + 5. Let q(m) = -4*m - 8. Let c be q(-5). Solve -n = -g*n - c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 79*b - 594. Let q be p(70). Solve -40*v + 16 = -q*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 32*d - 13. Let m(o) = -49 - 69 - o**2 + 105 - 30*o + 0*o**2. Let p(r) = 5*m(r) - 4*x(r). Determine p(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 14 = -5*m, 19503*j = 4*m + 19502*j + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*g = -768636 + 764154 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2 - 6326*h - 3792.\nAnswer: -2*(h + 632)*(5*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 133*y**2 + 3*y - 1. Let s be p(1). Let f = -64 + s. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*k - 10 = 0, 57 = -6*i + 2*i - 3*k. Let r(v) = 19*v - 14. Let a be r(i). Is 2 + (-1 - a - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.12 (b) -5\/3 (c) 8\/3 (d) 5\/2 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -294 + 294 + 40*o. Is f(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 + 4*o**3\/3 - 2*o**2 - 4*o. Suppose 0 = -5*k + 2*u + 31, 4*k = 3*u + 3 + 26. What is the units digit of n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 87 (b) -1\/50 (c) 5 (d) -9465 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904346.3 millimeters to micrometers.\nAnswer: 904346300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -39. What is the third derivative of -17*k**3 - k**2 + 3*k**5 + p*k**3 wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwvv when four letters picked without replacement from {x: 1, w: 3, v: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*k + 2*p = -5156, -17*p + 102 = 4*k + 15*p - 37*p for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139813694*i*x**5 + 13*i*x - 2*i + 2*x**5 + 92*x + 2068 wrt x.\nAnswer: 2796273880*i*x**3 + 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k + 19*k - 32*k + 24 to j + x*k and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5075555 (base 8) to base 13\nAnswer: -37cc92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*-8 + 0. Sort 3, -5, a in ascending order.\nAnswer: -5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*b = -38*b. Sort 126, b, -11 in ascending order.\nAnswer: -11, b, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 15 - 21. Suppose 0*p - x + 263 = 3*p, -l*p - 5*x = -158. What is the remainder when p is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -69*p**2 - 50*p + 34. What is the first derivative of s(a) wrt a?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 26. Let j(w) = -2*w + 13. Let s(y) = 3*h(y) + 5*j(y). Let a be s(-9). Calculate the remainder when 46 is divided by (a + 28\/8)*-48.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.1 - 8. Let w = b - -3. Let y = 1.1 - w. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.486854 millennia to decades.\nAnswer: 348.6854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -34.8. Let w = d + -11. Let l be 0 - (12\/5 + -2). Which is the closest to 0.1? (a) -1\/2 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7414111 weeks in nanoseconds?\nAnswer: 448405433280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6 + 5*j**2 - 13*j + 14*j - 4. Let s(i) = 10*i**2 + i + 3. Let t(c) = -5*h(c) + 3*s(c). What is t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-5040)*-9*(-12)\/(-6).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + sqrt(1053) + -1 + -2 + 0)**2.\nAnswer: -108*sqrt(13) + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4329 and 444.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x - 5. Let k be s(7). Let m(d) = -1 + d + 6*d**2 - 4*d**2 + 5*d**k. Suppose -3*y + 14 = 5*o, -o + y + 4 = 6. Determine m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4096*l - 6133. Let m(o) = -1349*o - 2044. Let y(b) = -6*a(b) + 17*m(b). Find the first derivative of y(s) wrt s.\nAnswer: 1643","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 317 - 2211\/7. Which is bigger: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28483430 by -619205.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 11}. What is prob of picking 1 t and 1 a?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 43. Suppose -c = 3*y - 4*y. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 6 + 65 + 59?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -123 + 56 + 57 + c**2 + 59 + 18*c. Calculate f(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 80*v**3 - 14*v**2 - v + 77. Is i(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1204124247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqvs when four letters picked without replacement from {b: 1, v: 11, q: 3, s: 5}?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -4, 4765, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/6*(-4)\/325. Let b = 794\/1365 - m. Factor 2\/7*u**2 - b*u + 2\/7.\nAnswer: 2*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 276 = l - 2*y, 552 = 4*l - y. Let q be 13\/(-15) - l\/(-115). Sort 2, q, -0.035.\nAnswer: -0.035, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16913*o**2 + 33809*o**2 - 16902*o**2 - 6*o + 7*o - o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -2093*i**4\/4 - 942*i - 1239. What is the derivative of u(n) wrt n?\nAnswer: -6279*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-544)\/28 + 16)\/((-4)\/14). Solve 0 = -t*v + 32 - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-4)\/(0 + -1). Suppose -44 = 4*q - 52. Solve -r = -q*r + c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + (-72)\/(-20). Suppose -5*l + 2*d - 412 - 106 = 0, -4*d = -w*l - 424. What is l rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26832 and 552292?\nAnswer: 6627504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = 19*m. Suppose m = 5*a + 405 - 2825. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83125 divided by 125.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.045, 0.2, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}