diff --git "a/data/dm_maths/full_data/5731_11255.jsonl" "b/data/dm_maths/full_data/5731_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/5731_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 8 = -h + 5*h + p, 5*p = 4*h - 32. Solve -h*s - 2 = -n, 3*s + 0 = -n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46129*10\nAnswer: -461290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/1*4\/(-3). Let z(x) = -13*x - 15. Let h be z(-2). Let u(a) = 23*a - 6 + h*a - 30*a. Determine u(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 5. Let n be l(-4). Let c(v) = -v**2 - 3*v + 4. What is the smallest common multiple of 16 and c(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39505, -4, -278, 4, 2 in descending order.\nAnswer: 39505, 4, 2, -4, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70932197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.071871*32.\nAnswer: 2.299872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237295362 to the power of 1\/2, to the nearest integer?\nAnswer: 15404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one fifths of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1 + 2 + 0. Let w be o(0). Suppose 0 = -4*z + 8, 4 = 2*b - 4*z + z. What is the greatest common factor of w and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 25. Let w = 23 - j. Let b = 4 + w. Let k(g) = 2*g - 2. Let n(h) = 3*h - 3. Calculate b*n(f) - 8*k(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*b - 1056 = 6*b + 25*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 times 3?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueyuubb. Give prob of picking 1 b and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + (-130)\/35)*7. Solve -2*f - 3*f - 24 = -4*z, -5*f - r*z - 18 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15*k**2 - 21. Let g(b) = -5 + 16 + 3*b**2 - 15. Give -4*f(d) + 21*g(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6800\/(-2380)*21\/(-54).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9371?\nAnswer: 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m*m**(-1\/5))\/(m**(-11)*m**(-10)\/m) assuming m is positive.\nAnswer: m**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/650750 and -76\/154125.\nAnswer: 5856750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:25 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/340 in 0.1, 3, 2, 2\/11, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1957\/7 - -279. Let n be (-6)\/9*(-3)\/8. Which is the third biggest value? (a) n (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 divided by 199?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**2\/2 + 17. Let k(c) = -2*c**2 - c. What is -k(d) - 4*t(d)?\nAnswer: 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 0. Let u(n) = -3*n - 5. Let t(r) = 8*r + 12. Let s(i) = 5*t(i) + 12*u(i). Let c(g) = 7*g + 1. Let k(l) = 3*c(l) - 5*s(l). What is k(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*y + 15, -3*q - 1 = -2*y + 2. Suppose -17 = -3*g + v - y*v, -g - 5*v = -9. Solve -g*o + 5*o + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - k + 1 = -4*x - 0, 1825*k - 1838*k - 60 = 5*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*l**3 - 3*l - 4*l**3 - 9*l - 11*l + 25*l.\nAnswer: -78*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:06 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5916757 is divided by 257250?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 2*h - 5. Let y be w(4). Let m = -41 + 40. Which is the second smallest value? (a) m (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:50 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 4*v + 5. Let n be u(4). Suppose -2*i - 84 = -n*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23 - 14*i + 19*i - 137*i - 97 wrt i.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*b**2*f**2 - 111267488*b**2*f*n - 28515369*b*f**2*n**2 - 3*b*f*n**2 wrt f?\nAnswer: 20*b**2 - 57030738*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/12 - a**4\/4 + 2*a**2 + 7*a. Let p(b) = 10*b**2 - 11*b. Determine -6*p(q) + 11*v(q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 26*x**2 + 22*x + 20. What is the tens digit of f(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101022 (base 3) in base 7?\nAnswer: 5030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - h = -27, -f - 2443 = -2*h - 2425 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 282 - 1977\/7. Let f = -2.3 + 7.3. What is the smallest value in f, 0.7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 612828801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 687 + -684. Solve d*i + 5 = -n - 0, 5*i + 2*n = -8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1132401*c**5 + 249*c**2 - 1838 wrt c?\nAnswer: 67944060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(700) + 1 + -3 + 3*-2*sqrt(700) + -3)**2)*2.\nAnswer: 1000*sqrt(7) + 35058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.16 (c) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37709361991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**6\/1020 + s**5\/255 - s**4\/51 - 8*s**3\/51 - s**2\/2 - 4. Let t(n) be the second derivative of d(n). What is o in t(o) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 23 = 3*m, -2*f + 2 = -m - 7. Solve -7 - f = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ab3 + 3?\nAnswer: ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2794.455 + 2870.2. Let o = -76 + r. Let v = 47.955 + o. What is v rounded to zero decimal places?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54521648 divided by -13630412?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m*m*m\/(m\/m**(2\/3)*m*m)*m)))**(1\/7)\/((m*((m**(-6)*m)\/m)\/m*m)\/(m\/(m*m*m*m*m\/(m\/(m*m**(-6)\/m*m)*m)*m))) assuming m is positive.\nAnswer: m**(155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 708803760*x**2 + 927532665*x.\nAnswer: 1417607520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-6)*1\/(-3). Let x be ((-4)\/10 - 0)\/(9\/15). Which is the nearest to k? (a) -0.4 (b) x (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n. Let q(o) = 5*o**3 - o**2 + 5*o. Let l(k) = -6*q(k) + 33*z(k). Find t, given that l(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4746508248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*n + 59*n - 1455104 = -102*n. Is n a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2087\/266 + 115\/14. Suppose 2*f + f - 2 = -c, -2*c + 3 = 5*f. Is b at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x + 18. Let n be w(0). Let f = n - 13. Suppose -f*t - b - 2 = 2, -4*t + 5*b = 9. Is t greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 61 - (1 + (-43 - 3)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = 5*o - 11, k = -4*o + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -29*j**2 + j. Let d(h) = h**2 - h. Let s(c) = -3*d(c) - 3*k(c). Let y(b) = b. Give y(s(p)).\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**6 + 7*n**3\/3 + 8. What is the third derivative of u(m) wrt m?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 15*g**2 + 15*g - 243. Calculate r(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + 16 + (-41 - -24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4073184\/(-432))\/(((-8)\/(-3))\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 10*q**2 + 7*q + 3. Calculate the remainder when p(9) is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:17 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 2395582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85.8 + 69.12. Let l = -17 - h. Let s = l + -0.08. Sort -1, s, 0.4 in decreasing order.\nAnswer: 0.4, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + -5 + sqrt(700)*-1 - (sqrt(49)\/(sqrt(28)\/sqrt(4)) + ((-3*sqrt(175))**2 - sqrt(7)))).\nAnswer: -1580 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28670520*i**6*u - 1026*i**2 + 221*u + 316 wrt i.\nAnswer: -3440462400*i**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 231955684 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 - -768020?\nAnswer: 767846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u + 1. Let d = -4 - -6. Suppose -1 = 3*i + d*l - 9, 2*i - 3*l - 1 = 0. Give h(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*a - 2*x, 8 = 5*a + 3*x - 8. Calculate the common denominator of (-273)\/56 + -1 + a and 81\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11831817 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65494, -130999, -196504, -262009, -327514, -393019?\n\"Answer: -65505*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28629 and -5.\nAnswer: 143145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 52260.8ns?\nAnswer: 0.0000522608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101100000100 (base 2) to base 8.\nAnswer: -55404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 47729\nAnswer: 3\/47729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 8\/6)\/((-162)\/(-2916)). Let r(s) = -7*s - 47. What is r(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 50 - 2. Suppose 3*l - d = 8. What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + 3 + 0 + 16 + (-254 - -245).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167 + -177. Let w be (-140)\/i + -1 + 2. What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 989, 991, 993, 995, 997?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522238 is divided by 367.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**4\/8 + p**3\/3 - 11*p**2 - 2*p. Let l be (-2)\/6 - (-13)\/3. Let j(o) = -l + 5 + 0 + o. Give 4*j(q) - x(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 396, 386, 238?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343 + -163. Suppose 0 = 2*t + t - r. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653538.\nAnswer: 2, 3, 108923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:34 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 107*z - 63. What is l(-36)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8412*-1\nAnswer: -8412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76573 + -50212. Is g a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -252*l + 1410. Determine m(12).\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/3)*t**4*t*t**(-1\/3)*t**0*((t*t**(2\/3))\/(t**(-6\/5)*t))**45 assuming t is positive.\nAnswer: t**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/8 - -13\/8. Let u = 119 - 117. Let d = 0.4439 + -0.4639. What is the closest to k in u, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and (-132)\/(-12) + 740\/4?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17459 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -91. Suppose p - 3*v - t = 0, -p - 18 = 2*p + 5*v. Which is the closest to -9? (a) p (b) 3\/7 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 165*h - 25031. What is s(161)?\nAnswer: 1534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*r - 73*r - 214*r = 25*r - 5357 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1284*o - 2118. Determine v(1).\nAnswer: -3402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 5. Let u = -12 + 15. Suppose -u*y + 6*y = 15. What is the least common multiple of j(10) and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 24.113 (c) -0.422\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.8 times -58.78?\nAnswer: 5572.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 11*o**2 - 8*o - 15. Let u be y(10). Put -3, u, -28, 1, -5 in decreasing order.\nAnswer: u, 1, -3, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 5*l + 6. Let q(p) = -p**2 + 2*p - 1. Let a be q(3). Calculate o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 182 and 187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/10, 2, -14, -1, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 22*l - 5. Give x(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/268 - -3033\/134. Find the common denominator of m and (-1)\/(-1) + (-154)\/72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/736978 or 1?\nAnswer: 27\/736978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 + 2911\/20. Let g = f + 121\/180. Which is the nearest to 0? (a) g (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -6, -37, 0.03, -295?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18)\/(1\/(-21))*(-5)\/((-30)\/(-108))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -25*r + 13. Let q be s(-2). Let y = q + -46. Suppose 3*z = -2*z + 680. Calculate the greatest common factor of y and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from {z: 1, r: 3, d: 4, b: 2, v: 1, p: 4}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 + w + 5. Let p(c) = c**3 - 4*c**2 + 4. Let m be p(4). Is f(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2251 = -14771. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.017. Round z to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/189137 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11816*a**3 - 35459*a**3 + 11827*a**3 + 11817*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11364, -22569, -33930, -45525, -57432, -69729, -82494?\nAnswer: -95805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -74\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76076 - -5?\nAnswer: -76071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 30*l**2 - 15*l - 50.\nAnswer: -5*(l - 5)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-7))\/(522\/(-16443)) - (-5 + 84\/7).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -413*v**3 - 2*v**2 + 2. Let o be h(-1). What is the greatest common factor of 59 and o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102823 (base 13) in base 4?\nAnswer: -1130003230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1, 1\/4, 2\/93?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 - 2*y)*(-12 + 78 - 35).\nAnswer: -62*y + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l = 23 + 177. Let y(f) = 4*f - 13*f + l*f - f. Let v(k) = 18*k**2 - 2*k. Calculate y(v(g)).\nAnswer: -90*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 8*a**2 - 15*a**2 + 0*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 46 + 362 = 0. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 899b63 - -1c?\nAnswer: 899b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4128*w - 1929*w - 249461 + 19295 = 0 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from yyyzyyyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21052416 divided by -17088?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 31*g**2 - 23. Let x(o) = -5*o**2 + 4. Determine -6*d(a) - 34*x(a).\nAnswer: -16*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/55 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/17 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 719*n**2 - 25*n - 389*n**2 - 349*n**2 to the form y*n + m + b*n**2 and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3807\/8 + 432. Let b = z - -2143\/40. Find the common denominator of 67\/4 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/17))**(5\/14) assuming j is positive.\nAnswer: j**(-5\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 120?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.52 and 15?\nAnswer: 127.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -27. Let q be (-4)\/(-2) + (n - 6). Solve -33 + 15*c - 3*c + 8*c**q + 37 = 0 for c.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 7. Let n = -4 - -9. Let i(s) = s + 3*s - n*s - s. What is i(h(k))?\nAnswer: 2*k - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-27)\/(-270)). Find the third derivative of -80*w**6 + 85*w**6 - w**5 + 184*w**2 + w**f - 66*w**2 wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 168 in -19, -5\/3, 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 288304.79 rounded to the nearest one thousand?\nAnswer: 288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-115 + 109)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -696 + 699. What is the common denominator of 77\/207 and -1 - (-452)\/(-24) - q?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3520779\/2065 + 1932\/295. Let d = n - -3389\/2. Calculate the common denominator of d and 119\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - 43 + 92 - 42 + 2*g**2 - 6*g. Let t(s) = 2*s**2 + 13*s - 14. What is 6*t(q) + 13*w(q)?\nAnswer: -q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 64.7 (b) 1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 28*y = 36. Let x(h) = -h**2 - 8*h - 11. Let z(s) = 5*s**2 + 32*s + 44. Let w(t) = 9*x(t) + 2*z(t). What are the prime factors of w(y)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.7 - -10. Let m = -3.41 - -0.41. What is the closest to p in 1\/6, m, 5\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -3)\/(2 + -1). Let x = v - -9. What is the third derivative of -21*g**x + 2*g**6 + 4*g**2 + 21*g**5 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(-13 - 4*j**5 + 13) + 3*j**5 - 3 + 3.\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + -14 + 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330440 - 89879783\/272. Calculate the common denominator of -73\/20 and o.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.8 and -306.\nAnswer: 2080.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3219 divided by 671\nAnswer: -3219\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*g = -382, -11*r + 7*r = 5*g - 1612. Solve 20 = -393*m + r*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2471 + 0.0529. Let r be (-2)\/16*14\/(-7). Which is the smallest value? (a) -1 (b) -5 (c) r (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, b: 3, l: 3, k: 4}. What is prob of picking 1 t and 2 b?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24084 and 41032.\nAnswer: 1107864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 201*r + 5269. Calculate i(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 2*m**2 - m - 46 - 2*m**3 + 3*m**3 + 74 + 0*m. Let j be (-22)\/(-2) + -6 + -5. Determine h(j).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 659 = 295. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a142 (base 12) to base 11\nAnswer: 40318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose 12 = l + l + b, -i*l + 32 = -4*b. Let g be 3\/(-9) + 0 + 80\/15. Solve 4*v = g*f - 14, -l*v + 5*f = -5*v + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3290 - -3293. Let p be 3 - -1 - (-1 - -3). Let f be (-1)\/6 + p\/(-4). What is the closest to -1\/4 in f, a, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.374407 millilitres to litres.\nAnswer: 0.004374407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-4))\/(72\/28356). Let g = w - 2969. Calculate the common denominator of 37\/14 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 29*a**2 + 70*a - 207. Let v be k(-30). Round v to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -118.\nAnswer: 129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -1.1. Let y = 0.3 + m. Let l be 2\/6*-4 + 1. What is the smallest value in y, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q - 5. Let s be t(7). What is the greatest common divisor of 112 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77\/372 + -9\/31. Let m(o) be the second derivative of o**5\/20 - o**4\/12 - o**3\/2 + 3*o**2\/2 + 17*o. Let h be m(2). Which is greater: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 4. Which is the closest to 1? (a) -4 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162*1\/8*53\/(1219\/(-92))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2659996938 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9378776 and 264374?\nAnswer: 4334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 62371177 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -19 - 17. Solve -y*o = -28 + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/282924 and -151\/252?\nAnswer: 1980468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**4\/78 + 10*p**3\/39 - 9*p**2\/13 + p + 31. Find b, given that n(b) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 88*c - 52. Let t be y(4). Suppose 0 = -p - t + 530. Is p a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 3*h - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30, 2291, -3 in increasing order.\nAnswer: -30, -4, -3, 2291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:15 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1\/(6\/(-105)))\/(35\/(-28)) and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 - a?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -562 + 653. Suppose -q + 315 = 8*s. Calculate the remainder when 31 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 + 6.7. Let y = -0.72 + -0.18. Let t = y + g. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v - 8*v + 940. Which is bigger: -96 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvnnnnn. What is prob of picking 3 n?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113.6 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t = 29*t - 66 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -102208?\nAnswer: 102185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by -7*(0 - (-3 - 2))*-1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 905, -78, 64 in ascending order.\nAnswer: -78, 64, 905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 2023212101221?\nAnswer: -2023212101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9422664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**3 - 35*t**2 + 105*t + 135 = 0.\nAnswer: -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 3*w + w)*(w + w + 0*w) + (-2*w + 2*w + w)*(-2*w + 4*w + 0*w) + (-1 + 3 + 0)*(5*w**2 - 2*w**2 - 2*w**2) to o + n*w**2 + y*w and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -19, -17, -15, -13, -11?\n\"Answer: 2*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25922 times 2.322\nAnswer: 60190.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3120\/(-21))\/1 - 12\/28. Is -147 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(-42)\/(s*s**(2\/11)*(s**(-1\/2)\/s)\/s*s))**(-23) assuming s is positive.\nAnswer: s**(-21413\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 7*b**2 - 7*b + 6. Let i = -21 - -15. What is the units digit of z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 - (6 + -3)) - 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*p**3 + 325*k**2*p**2 - 641*k**2*p - 2*k**2 - 2*k*p + 655*p**3 + 44*p wrt p.\nAnswer: -6*k**2*p + 650*k**2 + 3930*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Suppose q*v + 7 = 10. Solve -5*x + v = 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 90*v - 128*v + 230*v + (5*v - 3 + 3)*(v + 3*v - 1 - 3*v).\nAnswer: 7*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 6, 1, 0, 4, 16, 3.\nAnswer: 0, 1, 3, 4, 6, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*k = 167 - 986 + 3009 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.276552kg to nanograms.\nAnswer: 4276552000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 2 v when four letters picked without replacement from {q: 6, n: 6, s: 2, f: 3, v: 3}.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l + 9*l - 34 - 28 - 28 + 92. Determine t(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2639*j**3*y**3*z**3 + 2*j**3*z**3 - 4*j**2*y**3*z**3 - 3*j**2 - 42*j*y**3*z**2 - z**3 wrt j.\nAnswer: 15834*y**3*z**3 + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 486.4564 micrograms?\nAnswer: 0.0000000004864564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 326.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -73*x**3\/3 - 13*x**2\/2 - x - 6. Let o(m) be the first derivative of k(m). Is o(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 4 + (-273 - -272).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 5, 6, 1, 4.\nAnswer: -127, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-170)*(-3)\/(-18)*-3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - v = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -18.6 (c) -2\/11 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1065 - -1082. Let u be (-224)\/21*(-3)\/2. Is q at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 9 = -t + 4*l, -3 = -5*t - l. What is the remainder when t\/2 + (-57)\/(-6) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43.1 + -43. Which is the third biggest value? (a) l (b) 5\/2 (c) 0.5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*i + 2 + 4, i = -5*x + 2. Is x less than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1)*x))**(-3\/4)\/((x\/x**(4\/5))\/x*x\/x**(-3)) assuming x is positive.\nAnswer: x**(-79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916324796 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66991301?\nAnswer: 13, 151, 34127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -864*v - 1519. Let k(d) = -877*d - 1520. Let h(q) = -5*f(q) + 6*k(q). What is the first derivative of h(u) wrt u?\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 28. Let t = -16 - c. What is the third biggest value in 0.3, t, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f + 3*s = 219, -5*f + 3*s + 1131 = 0. Suppose 72*b = 69*b + f. Suppose -2*i + 195 = 3*i. What is the remainder when b is divided by i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 238*t - 3328. What is a(13)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 14 = -5*s, -2*t = 2*t + 5*s + 17. Let r(m) be the second derivative of m**5\/20 + m**4\/4 - m**3\/6 - 5*m. Calculate r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-9))\/(-2)*(-36)\/(-63)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 2:45 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.087, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, -2, -0.3, 2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -70 + 6d20ad?\nAnswer: 6d203d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010 divided by -609?\nAnswer: 4010\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-234)\/(-52))\/(63\/28). Solve -v - 3*v = -2*x - l, 3*x - 5 = 2*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let z = s + 2. What is the second biggest value in 1, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 22 - 53 + 18*s - 2*s**2 + 46. Let y be l(9). Find the second derivative of -2*w**2 - 4*w**2 - w - 8*w - y*w wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 236 = 4*z, 0 = -3613582*z + 3613579*z - x - 182 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36573 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37153075.9 - 0.6377.\nAnswer: 37153075.2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.8419445 rounded to one decimal place?\nAnswer: 296.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 18664*f + 111954. Determine n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3438 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2. Let k(m) = 2*m**3 - 5*m - 11. Let s(o) = -o**3 + 3*o + 6. Let t(i) = 3*k(i) + 5*s(i). Let a(d) be the first derivative of t(d). Give a(l(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - -1.64. Let q = v + 1.06. What is the nearest to 0.2 in 2, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -5\/6 (b) -4 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 3*k + 844 - 877, -k = -4*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3860629 to the nearest integer?\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -66016\/12525 greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 48, -2\/5, -0.05, -1.4, -1.1 in descending order.\nAnswer: 48, 0, -0.05, -2\/5, -1.1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/478830 and 86\/1771671.\nAnswer: 17716710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -47. Solve 3*f = 3 + w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-3)\/(-21)*-1. Let t = 1 + -4. Which is the second smallest value? (a) t (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 + 109 - 2*t - 126.\nAnswer: -2*t - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:05 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-6) + 34\/12. Let w(d) = d**3 - 3*d**2 - 3*d + 7. Let f be w(z). What is the least common multiple of f\/4 + 121\/22 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Suppose -3*y = v - h*v + 1744, v - 1720 = -5*y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -20, -37, -70, -125?\n\"Answer: -x**3 + x**2 - 3*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t - 14 + 43 - 18 - 14. Let z be x(7). Solve l - 2*d = -3*l - z, -d - 9 = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v - 3*n = 22, 26 = -2*v - 4*n. Let w(f) = -f**2 - 4*f + 15. What is the units digit of w(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20356 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h - 4, u - 2*h - 31 = 0. Let m = 33 - u. Let g be (m\/(-15))\/(14\/6). What is the third smallest value in -1\/2, 9, g?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 12*h**2 + 25*h + 13. Let b be o(9). Let w = -25 - -33. What is the third biggest value in b, w, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 257 + -257. Which is the biggest value? (a) -3 (b) -7 (c) p (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 7*r\/2 + 13\/4.\nAnswer: (r - 13)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**7)*s)\/s**(-1\/4))\/(s**1*s*s**(-7)*s) assuming s is positive.\nAnswer: s**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (0 + (0 - -1)). Let m = -43 + 48. Sort n, m, 0.\nAnswer: n, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-248)\/48)\/(-31)*54?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 k when three letters picked without replacement from {k: 2, s: 1, c: 1, o: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53160 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3676880 by -76.\nAnswer: 48380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624*m = -610*m - 48146. Is 61 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 195213a + b?\nAnswer: 1952145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 17, s: 2}. What is prob of sequence os?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11632, 20202, 28772?\n\"Answer: 8570*u + 3062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**27\/m*m)**(-2\/85) assuming m is positive.\nAnswer: m**(-58\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 23*b**2 + 3*b - 397. Calculate k(11).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -291*y - 126. Let u(w) = -415*w - 189. Calculate 5*u(x) - 7*z(x).\nAnswer: -38*x - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 14, 0.3, -3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {o: 18, a: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -321, -635, -959, -1299, -1661, -2051?\n\"Answer: -y**3 + y**2 - 310*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 7:30 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12015 - -2999. List the prime factors of h.\nAnswer: 2, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -946414512.8282 - -946592439. Let x = -177829.1718047 + o. Let b = x + -97. Round b to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 6601 + 6599 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047 times 792?\nAnswer: 37.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 4*v + 4*v)*(2*v + 2*v**2 - 2*v) + 2*v**3 - 2*v**4 + 6 - 2*v**3.\nAnswer: -4*v**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.056?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05312 and 0.4.\nAnswer: 0.45312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 113 = 3*t, -4*n - t + 117 = -0*t. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + -10201?\nAnswer: -10223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/5 + 3292*p**2\/5 + 527712*p = 0. What is p?\nAnswer: -1912, -1380, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3947 - 10b?\nAnswer: -3a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g + 42. Let k(u) = -u**3 + 18*u**2 + 54*u + 178. Let s be k(21). Let r(v) = 4*v - 21. What is s*r(z) - 6*h(z)?\nAnswer: -2*z - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 468?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 38865365.20958.\nAnswer: 38865368.20958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1768 is divided by 575.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 7:19 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -65726 divided by -6\nAnswer: 32863\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/15 and 29\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-61646)\/(-1430) - 43)*(-22)\/(-9)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*s**2 + 276004*s - 14720.\nAnswer: -(s - 3680)*(75*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 + 854*f**2 - f + 7*f**3 - 854*f**2 - 41 + 3*f to the form v*f**3 + c*f**2 + p + z*f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 12126.\nAnswer: 230394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22123 + -22156. What is the smallest value in 0.2, b, 3, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 4*q**2 + 10*q - 26. Give a(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2944 - -9267. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59038 to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 2. Let x = -1442 + 1437. Let v(o) = o**2 + o. Determine x*v(q) + l(q).\nAnswer: -5*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 2586, 30, -2 in increasing order.\nAnswer: -2, 1, 2, 30, 2586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19*c**2. Let g(y) = 4*y**2 - 5. Suppose 2*f - 27 = -3*t, 2*t - 26 = -5*f + f. Let s(x) = -6*x**2 + 7. Let w(q) = t*g(q) + 5*s(q). Calculate v(w(p)).\nAnswer: 76*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1253026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003946714864 to 5 decimal places.\nAnswer: -0.00395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1900)*2 + 4 - (sqrt(1900) + -4 + 1*sqrt(1900) + -6*-1*sqrt(1900)))*-1*5*4)**2.\nAnswer: -256000*sqrt(19) + 12185600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2. Let q(a) = 109*a - 48. Let j(k) = -14605*k + 6440. Let r(l) = 6*j(l) + 805*q(l). Calculate r(v(t)).\nAnswer: -690*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*1\/88*11\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -58. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (87 - 92)*76\/1290 and 5\/18?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5293530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -3 (c) 1\/10 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.4 (b) 1\/4 (c) -1771 (d) 0.4 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 d, and 1 y when three letters picked without replacement from qyzhqdy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121133322 (base 4) to base 14.\nAnswer: -9784a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 5 (c) -26.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*o - 10 = 0, -o + 5 = v + 3*o. Suppose 107*g - 413 = 122. Put v, g, -5 in descending order.\nAnswer: g, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(320)\/sqrt(10)*-2 + ((sqrt(24)\/sqrt(3))**2 - (sqrt(4)\/sqrt(2)*-2 - sqrt(2)))).\nAnswer: -5*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 6. Let m be h(1). Solve 0 = 3*b - 0*b + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-63) - 1406\/(-7749)*-3. Let b = s + 45287\/3690. What is the common denominator of -3\/35 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439543.4 millimeters to kilometers.\nAnswer: 0.4395434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 16*b**2 - 2064*b + 257. Calculate y(38).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 240, -2, 3 in decreasing order.\nAnswer: 240, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahaaa. Give prob of sequence hh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t + 5*t + 680 - 11*t + 4*t**2 - 600. Does 9 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*u - 114*u + 5 - 4 in the form d + q*u 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 17298 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 175 = 5*b. Let d be (0 - 0)\/(8\/8). Suppose -o + 2*v + b = -66, d = 5*o - v - 505. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9435, 496, 17051, 40236, 70057, 106520?\n\"Answer: q**3 + 3306*q**2 + 6*q - 12748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 940734976 a multiple of 3359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123748 divided by -1.\nAnswer: 123748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38\/7 or -42?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/102 + 0\/(-2). Let u = 4\/17 - v. Let d = 0.14 - -0.86. What is the nearest to u in d, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/5, -4, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:56 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2244\/88)\/((-1)\/(-16)) and 36?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 - 79 - 155 = -12*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6403384?\nAnswer: 2, 13, 23, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 4. Let s = 14 + y. Which is the closest to s? (a) 1 (b) 4\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {k: 2, w: 3, n: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) -1.65757 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 4\/3*k**2 - 13\/18*k**4 - 1\/6*k**5 - 4\/9*k**3 + 4 - 2*k. Let l(v) be the first derivative of s(v). Let l(j) = 0. What is j?\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.72 + 20.88. Let i = -23 + c. What is the biggest value in i, -2, 0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) 0.007 (c) 0.2 (d) 33 (e) -8.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 134964774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 12*y + 8. Let l(z) = -z - 1. Determine -d(x) - 6*l(x).\nAnswer: -6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50354641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + j - 10 = 0, 5*j = -5*i + 3*i - 19. What is the highest common divisor of 24 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4833, -9767, -14693, -19611, -24521?\n\"Answer: 4*z**2 - 4946*z + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4220.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.385 plus 919?\nAnswer: 947.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097 is divided by 157?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from uuqququuquu.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*((sqrt(396) + 2 + sqrt(396))**2 - sqrt(396)).\nAnswer: 630*sqrt(11) + 23820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z. Let w(a) = -18*a. Let k(g) = -5*c(g) + 2*w(g). Let b(h) = h**2. What is b(k(p))?\nAnswer: 81*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -222, -224, -230, -240?\n\"Answer: -2*w**2 + 4*w - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 10:23 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 596263314 to the power of 1\/2, to the nearest integer?\nAnswer: 24419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15206192 divided by -13019?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1. Let h(a) = 6*a + 3. Determine h(g) + 2*w(g).\nAnswer: 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:57 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22112 (base 5) in base 10?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 - (-3 + 3) - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 8:30 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 20 = -c - 5*z, -3*z - 17 = -4*c. Suppose c*f + 20 = -3*l - 8, -2*f = -3*l + 7. Let h = -4 + 1. What is the second biggest value in 1, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 28. Let b(m) = m + 13. What is -2*a(v) + 5*b(v)?\nAnswer: -v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 11:31 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237611?\nAnswer: 3, 412537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/63 and 79\/147?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(225))\/sqrt(3))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13173696 divided by -1646712\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -31\/2*u - 1\/2*u**2 + 0 = 0.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k**2 - 20*k**2 + 18 + 46*k**2 - 16*k**2. Determine z(7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-755)\/302)\/(15\/102)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8742000)\/5546)\/(-93) + -17.\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20173631873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*n = -20, 4*p + 13*n + 16 = 11*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 137198056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 26*f - 90. Let q be n(-22). Let d(w) = w**3 + 12*w**2 - w - 6. Let r be d(-12). Is (4\/q - -1499)\/(-5 + r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29245.\nAnswer: 5, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 0, 5*x = -0*x + r. Suppose -3*m - 5*d + 124 = x, -170 = -5*m - 0*d - d. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) -3\/5 (c) -4 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 22*k**2 + 15*k + 119. Determine y(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1734 and 442?\nAnswer: 22542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(3*n**3 - 4*n**3 + 2*n**3) + (1 - 1 - n)*(-53 + 9 + 26)*(-2*n**2 - 1 + 1).\nAnswer: -35*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(84) - sqrt(84)*3*-1)\/(-4*sqrt(768)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/3649178 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 51\/7, -2, 3, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1444852493 to the nearest integer?\nAnswer: 38011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1773.17*-0.2\nAnswer: -354.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96408.03 months in decades?\nAnswer: 803.40025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*f**2 - 8 + 2*f**2 + 9 - 56*f**2 + 6*f**2 - 3221*f.\nAnswer: f**2 - 3221*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217208.\nAnswer: 2, 7, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 33*z + 21. Let m be l(-16). Solve -2*j = t, m*j + 22 = t + 2*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182\/5 + 73\/2. Let d(i) = -28*i - 16*i**2 + 0*i**2 + 8*i**2 + 103*i - 27. Let z be d(9). What is the third biggest value in z, 0.5, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 0*r**2 - r**2 - 6)*(-8*r + 3*r + 2*r) in the form p + k*r**2 + u*r + d*r**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-14)\/((r*r**(-28\/3)\/r*r)\/r*r) assuming r is positive.\nAnswer: r**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2142 (base 5) to base 4.\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + k + 4 - 2 + 2*k**2 + 7 - 15*k**3 to u*k + z*k**3 + v + j*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 17*u**2 + 6*u - 97. Let o be g(-18). Let j = 79 - 11. Suppose 4*i - j = -0*i. Calculate the greatest common divisor of i and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = g. Suppose 5*v + 75 = 5*z, 37 = -4*z + g*z + 5*v. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1489*v + 41959 + 39936 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-14 + 7 + -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 45. Let v = m + 24. Let w be (-3)\/2*(-12)\/9. Solve -2*q + 18 = -4*c, v*c + w*q + 27 = 7*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-5))\/((-9)\/(-30)). Let n be (5 - 1)*-1 - q. Suppose -1 = -n*o + o. Sort o, 4, 1 in ascending order.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14471735318570 and -0.11.\nAnswer: 14471735318569.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5 + 2*c - c + 4 - 1. What is the remainder when 4 is divided by o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158 + 163. Let -17*a**2 - 16*a**3 + 8*a**4 + 2*a**g + 18*a**3 + 5*a**2 = 0. Calculate a.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 27 - 79 + 27 + 24 - d. What is b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -44, -20, 4, -5 in decreasing order.\nAnswer: 5, 4, -5, -7, -20, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113936 by -2.\nAnswer: 56968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748271.\nAnswer: 748271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 - 0.86. Let w = -0.31 - -0.01. Let b = -6 - -11. Sort j, b, w in decreasing order.\nAnswer: b, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdprlkpbkbbrb. What is prob of picking 3 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 848, 3, -3662 in descending order.\nAnswer: 848, 3, -9, -3662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767193 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 33*x**2 + 2*x - 1. Suppose -5*i + 41 + 19 = 0. Suppose 5*b + 2*c + i = 0, 3*b + 5*c = 5*b - 1. Is n(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8232 + 0.88. Let q = -0.04 + -0.01. Let t = q + c. What is t rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 587*n**2\/2 - 11649*n\/4 - 2619.\nAnswer: -(n + 1)*(n + 9)*(n + 1164)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 3. Let k be p(3). Let v = -797 - -765. Let c be -2 + v\/(-12) - 10\/k. Solve -2*s = -2*z - c, 5*s - z + 2 = -0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -28, -30, -16, 20, 84, 182?\n\"Answer: j**3 - j**2 - 16*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -1. Suppose -s*h + 28 = 13. Suppose 10*x + h*x = 0. Solve -2*m = -x*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/23 + -83\/161. What is the third smallest value in 3, d, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 55142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4290000 = -9*q + 6*q. Round q to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 - 4*u**4 - u**3 - 68 + 70 as g*u**2 + k + t*u**4 + l*u + q*u**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-173)\/28 - 7\/((-343)\/(-21))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 1 (b) 2\/13 (c) -12 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 4*i)*(11*i**2 - 11*i**2 - 2*i**3) - 3*i**3 + 3*i**3 + 3*i**4.\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 49*q**2 - 15*q - 14. Let f be c(-1). Put 3, -2\/7, f in decreasing order.\nAnswer: f, 3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 + -74. Let i = 20 + h. Calculate the remainder when i is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24800770 or 49601537\/2?\nAnswer: 24800770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-260)*(-22)\/33?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o - 5. Let a(y) = -162*y + 48. Suppose -96 = -2*h + 67*v - 66*v, 4*v = 0. Give h*r(x) + 5*a(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 33*f**3 - 2*f**2 + 5*f - 2. Let h be s(-4). Let v be (-2)\/(-11) - h\/66. Suppose -v = -2*u + 65. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 37. Let z(h) = 8*h + 151. What is the remainder when z(-5) is divided by a(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/18 + -1\/9. Let h be 3*(-2 - (-357)\/(-9)). Let u = h + 623\/5. Which is the closest to r? (a) u (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.83669 to 3 dps.\nAnswer: -0.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3190*a - 164703 = -1070*a + 3193*a for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 8, 18, 34?\n\"Answer: 3*w**2 - 5*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520)*3)\/sqrt(10) + (sqrt(52) - (sqrt(52) + -3*sqrt(52)*5))**2 - (2 + 3 + (0 + sqrt(6292))**2).\nAnswer: 6*sqrt(13) + 5403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -21. Suppose k*q = -4*q + 196200. Round q to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6, 3*u - 2*u - 5*o = -13. Suppose 3*v - u = -17. Sort 5, v, 3 in descending order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -53*y**3 + 5*y**2 + 8*y + 4. List the prime factors of v(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -199\/3. Which is the second biggest value? (a) -2\/7 (b) 1 (c) -4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222543030 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -388*x**3 + 30*x**2?\nAnswer: -2328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 1. Let y(m) = -m - 1. Let s(g) = o(g) - 4*y(g). Let i be s(-3). Suppose j - 4*t = -t - 7, -i*t = -4. Which is bigger: j or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -8. Suppose -w + 39 = -o. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-14)\/u**(-5) assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7078270?\nAnswer: 2, 5, 707827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -2*j + 138 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/120 + v**5\/12 + v**4\/12 + 2*v**3\/3 - v**2. Suppose 4*u + 24 - 32 = -4*z, 5*z + 4*u = 13. Calculate d(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 331254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 9) in base 15?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-245) + (-13*66\/715)\/9\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Suppose 3*d + 18 = w*d. Suppose -29*g + 26*g - 2*f + 95 = 0, -5*g = f - 170. Calculate the remainder when g is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppppuppppu.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/199 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 315690 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28627698 + 0.027.\nAnswer: 28627698.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*p**2*q + 2*g**2*p - 2*g*p**2*q**2 + g*p*q**2 + 2549*g*q**2 + 152510*p**2 - 83*p*q wrt p.\nAnswer: 8*g**2*q - 4*g*q**2 + 305020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.483577 milliseconds?\nAnswer: 483577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddbb when four letters picked without replacement from {b: 7, d: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003542940214 rounded to seven dps?\nAnswer: -0.0035429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24353869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*r - 69*r - 49*r.\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 7*z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -2*k**6\/45 - 101*k**4\/12 + 87*k. Let i(v) be the third derivative of w(v). Let r(h) = -9*h. What is i(r(n))?\nAnswer: 288*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11601618 + 157\nAnswer: 11601775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxwuuukkgxuuxgupu. What is prob of picking 1 p, 2 x, and 1 w?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*m = -7*n + 3, n - 5*m = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4855 is divided by 1618.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.12 and 2979612.08.\nAnswer: 2979613.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2 - 5958*c + 2745879 = 0. Calculate c.\nAnswer: 727, 1259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - (sqrt(396) + 0))*-5 - sqrt(396)) + 2)**2.\nAnswer: -24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 9 + 864562*u + 1.\nAnswer: 864562*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15b + -1399?\nAnswer: -1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*b + 385, -5*q = b - 104 - 0. Let l = b - 76. Solve -5*i + 25 = -4*p, 14 = l*i + p - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 612 - 268. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -0.5. Let a = r + -3.6. Are 2\/3 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 419, 620, 819, 1016?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 65. Sort 0.5, 16, -0.1, d in decreasing order.\nAnswer: 16, 0.5, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589046 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 18 = -13. Suppose -a + 28 = -4*m, -4*a + 3*m + 32 = 7*m. Suppose j - n = a. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459618 to the power of 1\/2, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-64)\/30)\/(1014\/845).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*a + 25 - 25)*(2 + 2*a**3 - 2 + (2*a**2 + 3*a**2 - 4*a**2)*(-3*a + 0*a + 4*a)).\nAnswer: -75*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3) - (511\/(-49) + 9)\/((-1920)\/896)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7152564 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -122027*m + 122029*m - 91, -5*m - 19 = 2*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7581 + 7586. Let u = -0.041 + -0.229. Let f = u + -11.73. What is the second biggest value in -0.5, s, f, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {x: 1, n: 3, q: 4, z: 6}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289790 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3)*(-4 - 3 + 6)*(-49*j - 8*j**3 + 49*j) in the form c + q*j + n*j**3 + k*j**2 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*y, -3*j + 6*j - 25 = 4*y. Solve 0*d = g - 3*d - 11, -j*g - 5*d = 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 127*d**3 - 1. Let w be (3 + (-12)\/3)*(-3 - -2). Let s be m(w). What are the prime factors of -4 + (-76)\/(-20) + s\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53587.\nAnswer: 41, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**3 + 18*k**2 + 58*k - 16. Let c(m) = -6*m**3 - 13*m**2 - 57*m + 12. Give -3*a(t) - 4*c(t).\nAnswer: 3*t**3 - 2*t**2 + 54*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2772 and 106092.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v - 3. Give b(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**3 - 3*n - 2. Let j be u(-1). Sort 4, j, 1.\nAnswer: 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3 - 1013*n**2 + 1010*n + 2024 = 0.\nAnswer: -1, 2, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -497 - -475. Let q = s - -258. Calculate the remainder when q is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x - 27. Let j be l(-5). Sort 9, -4, j, -1 in decreasing order.\nAnswer: 9, j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*n - 44, -5*n + y = -46 + 12. Suppose 3*g + 12 = n*g. Solve -g*v = -5*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-0.8\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1 - 2 + 609*t - 1 - 612*t. Let o(u) = 6*u + 8. What is 5*h(n) + 3*o(n)?\nAnswer: 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1501 and 7979.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okooooooluoc. What is prob of picking 2 o and 1 c?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)\/sqrt(5)*-1*-5)\/(sqrt(1280)*-4 - sqrt(1280)))**2.\nAnswer: 3\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13692598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 32 = -5*u - w, -u + 2*w = -4. What is the nearest to 2\/5 in 3\/5, 5, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (105\/6)\/7*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) 3\/5 (c) -782245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -3023868 (c) 1 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006469057 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 2.6. Let r = -3 + y. Which is the biggest value? (a) 5\/2 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 1, 1\/11, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15)*6)\/((-4)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0*m - 8. Let z be 3\/(-3)*-4 + m. Solve z*l + 2*l = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from yemeitaa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -490 + 9a90?\nAnswer: 9600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + 49. Let p = -45 + v. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:24 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b**3 - 87 + 87 + (-2*b + 2*b + b)*(4*b**2 - 6*b**2 + b**2) in the form q*b + x + t*b**3 + a*b**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + l + 47, 3*r = 5*l - 34 - 11. Let b be (-20)\/8*12\/r. Suppose b*f + f = -4*h + 5904, -5*f = -3*h + 4436. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -0.7, -2, -1.2, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -192971841\nAnswer: -771887364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.9? (a) -0.06 (b) 0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374, 354, 310, 230, 102, -86?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*63586.53\nAnswer: 19075.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 10, 21, 36, 55, 78?\n\"Answer: 2*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 4:04 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 37 + 52. Suppose 2*c = 5*u + 89, 0 = -0*u + u - p. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 123, 147, 189, 255?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2 - 10\/(-6). Let d be (6 - (-24)\/(432\/126)) + -16. Put d, y, 4 in descending order.\nAnswer: 4, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/24 and -25\/428688.\nAnswer: 428688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4 + sqrt(52))**2 + (sqrt(156)*3)\/sqrt(12))*6 + -4.\nAnswer: -78*sqrt(13) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 4*a**3 - 3*a**3 - 2*a**3 + 22. Is g(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/z**(1\/7))**(2\/3)\/((z\/(z\/z**6)*z\/(((z\/((z\/(z\/z**(3\/5)))\/z))\/z)\/z*z))\/(z**2\/(z\/(z\/(z*z**(-1\/6)*z))))) assuming z is positive.\nAnswer: z**(-317\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 6636*o + 6636*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1282 (base 9) to base 5\nAnswer: -12330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -15, -17, -19, -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 2. Let s = 2.2 + -2. What is the second smallest value in u, -1\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 70, 125, 182, 241, 302, 365?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1033233379\/2155530 - -12322\/27635. Let t = l - -6168\/13. What is the common denominator of t and -76\/165?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 721 + 106. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*1\/(-15) - 2\/(-3). Solve z + 10 = -3*r - i, r = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - m + 4, 3*m + 6 = -4*a + 18 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 + -84. Which is smaller: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - t**5 + 4*t**5 - t**5 - t**5 + 4*t**5 + (2*t**4 + 7*t - 7*t)*(4 + 3*t - 4) + (-22 - 14 + 16)*(-3*t**5 + 3*t**5 + t**5).\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1815638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.995 + 0.005. Let l = v - 38.0000118. What is l rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 4 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1834343 is divided by 1834336.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56779, -200930, -441175, -777508, -1209923?\nAnswer: -1738414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159451719*c**3 - 68348*c - 4?\nAnswer: 956710314*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*r = -112*r - 80. Let i be (-2 - (-1 + -14))\/1. Let u = i - r. Solve u*f = 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4755000 to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/44? (a) -1\/12 (b) 0.1 (c) 0.79 (d) -3 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 7692 = s. Suppose 2*t - s = 1440. Suppose h = -4*c + 2906, h + 95 = 2*c - t. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4472 rounded to 2 decimal places?\nAnswer: -3.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -6 - (315 - 281)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -19040160.\nAnswer: 1\/19040160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/9 + (-6)\/(-9). Which is the smallest value? (a) -38 (b) 0.4 (c) 6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1361*j + 1859*j - 1923*j to i*j + z and give i.\nAnswer: -1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5819*y + 2905*y + 2915*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/7 + (7 - 250\/35). Solve 6*x - w*x + 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 + -14 - (-38)\/6) + 27308\/3.\nAnswer: 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 10 + 4 = 2*q, -3*q - 9 = 4*l. Suppose -5*t + 251 + 584 = l. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4311 is divided by 96?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434717989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -43 + -0.255\nAnswer: -43.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/13, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 67. Suppose 4*s - 116 = -3*y, -7*s - 5*y = -2*s - 145. Calculate the remainder when s is divided by f(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:34 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37654, 40409, 43164?\nAnswer: 45919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 30 = 3*b, 5*d + 4*b = -3 - 2. Suppose -4*n = -2*n - 6. Let p = 9 + n. What is the greatest common factor of d and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b**(-43)\/b))*b**(-48)\/b*(b\/(b*b**(-1\/24)))**23 assuming b is positive.\nAnswer: b**(-2185\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -93, -74, -73, -96, -149, -238, -369?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/4 + z**3\/3 - z**2 + z - 1. Let b = -14 + 30. Suppose 5 = -d - 2*q, b = d - 4*q - q. Determine i(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16184*a**3 - 16201*a**3 - 4*a**2 + 32386*a**3 - a**2.\nAnswer: a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**3\/6 + 4*g. Let u(k) = -k - 5 + 5. Calculate h(u(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 62. Let j(u) = -15*u - 69. Calculate the least common multiple of r and j(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -503522, -503536, -503550, -503564?\nAnswer: -503578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:34 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -82 + 42. Let w(f) = 2*f**2 + 13*f + 1. Let v be w(-7). Suppose 47*u = 46*u + v. Solve 0 = 2*j - y*j + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 675*d. Let r(o) = 5*o**2 + 4873*o + 1. Calculate r(i(s)).\nAnswer: 2278125*s**2 + 3289275*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is bb (base 14) in base 5?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 9. Let y be v(-6). Suppose 5*w + 59 = y*n, 0 = 3*n + 2*w - 33 - 19. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(2\/17)*l**(-4\/13)*l**6\/((l*(l**(-3\/7)*l*l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(8104\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3\/3 - 47419*f**2\/3 - 563536640*f\/3 - 33083801600\/3 = 0.\nAnswer: -23680, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20422 + -11?\nAnswer: 20411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10864\/14744*1368\/14\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*s - 279*s - 210 = -603*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*f - 12504 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 4316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137325*d**2 - 186784 wrt d?\nAnswer: 274650*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -3.8. Let h = -378 + 378.4. Which is the nearest to h? (a) p (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 4*f + 36*f**2 - 4*f - 2 + 25*f**2. Let y be c(-6). Suppose -709 + y = 3*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 62. Suppose n + 0*n - 16 = 2*b, -4*n - 3*b = -d. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 247, 233, 219?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/24 and -43\/156?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/25)*p\/p**14)\/(p**(-2\/17)\/p*p*p**(-4)*p*p))**6 assuming p is positive.\nAnswer: p**(-27546\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*a + 174*a + 187*a - 542*a**3.\nAnswer: -542*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 525*1\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48060021, -48060020, -48060019, -48060018, -48060017, -48060016?\nAnswer: -48060015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 1. Let y(f) = -7*f**2 - 10*f - 7. Let i(d) = -2*p(d) + y(d). Let i(u) = 0. What is u?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19682 - 6954. Does 43 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1393*p + 656*p + 634*p.\nAnswer: -103*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**3 - 8*k**3 - 15*k - 3*k**2 + 6*k + (12*k**2 - 17*k + 17*k)*(0*k - k - k).\nAnswer: -26*k**3 - 3*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 3, x: 4, i: 4, u: 4, g: 1}. Give prob of picking 1 a and 1 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 7}. Give prob of picking 2 v and 1 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127 + 137. Calculate the least common multiple of a and 94.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (440\/550)\/((-1)\/(-3)*57\/5)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 2. Let x be f(1). Calculate the greatest common factor of 27 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 68\/11, 2, 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 656654188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1504\/135 - -13\/54. Let s = -14821 - -26658. Let d = -189493\/16 + s. Find the common denominator of d and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2823030 divided by 315.\nAnswer: 8962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 14\/11, 3\/4, -5\/2, 4, 503?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 - -199. Suppose -29*c + s*c = -116. What is y in 60\/7*y**3 - 36\/7*y**2 + 0 + 4\/7*y**5 + 0*y - c*y**4 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioob when four letters picked without replacement from ynbbyoibyboybbiihib?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i - 142 + 0*i**2 + 25\/4*i**4 - 1\/5*i**5 + 41*i**3. Find the third derivative of q(l) wrt l.\nAnswer: -24*l + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o. Which is greater: o or -1\/39?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 463 or 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 - 389745*v + 7406960 = 0.\nAnswer: -77968, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 + (-3)\/90*-12. Suppose h = j + 55 - 67. Solve y - j = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + k**2 - 11*k + 20. Is z(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 1051070*r**2 + 142917776*r + 4858889952.\nAnswer: 2*(r + 68)**2*(r + 525399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 1394634119?\nAnswer: 1394634119.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -257. Let b = t + -248.73. Let u = b + -1.2518. Round u to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4)\/v)**(-35)\/((v*v*v\/v**(-5))\/((v*v\/v**(-1\/6))\/v)))\/(v**4*v*v*v**(3\/7)*(v\/v**(-1\/3))**(-28)) assuming v is positive.\nAnswer: v**(1409\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 take away 6.326?\nAnswer: 382.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138838 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 75 + 125 = 0. Solve 4*m + 22 = g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z**4\/2 + 75*z**3\/2 + 39*z**2 + 12*z = 0. Calculate z.\nAnswer: -2, -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24047724\/11 or -2186158?\nAnswer: -2186158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u - 3*u + (2 - 3 - 4)*(-u + 6*u - 2*u))*(1 + 0 - 3)*(5 - 1 - 2).\nAnswer: 92*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2030 - -1103?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 228*v**2 - 64*v - 30. Determine a(-2).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1020*p**3 + 2*p + 67.\nAnswer: -6120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 - k - 2. Let x be a(2). Suppose -13*z = 9 - 373. Suppose -z*i = 5*i - 33. Solve x*q = 9*q + i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*r + 30*r**2 - 60*r + (1 - 2*r - 1 + 4*r - 2*r + 0*r + (-r + r + r)*(-3 + 4 + 0))*(21*r + 27*r - 25*r).\nAnswer: 53*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1374007 = -2*k, 5*o - 1374010 = -281*k + 286*k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159130?\nAnswer: 2, 5, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257719.\nAnswer: 7, 11, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (690\/30)\/((-1)\/10). Let a = f + 915\/4. What is the third biggest value in 2, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(192)\/sqrt(8)*-2)\/(-6*(sqrt(8) + sqrt(8) + (sqrt(8) - sqrt(64)\/sqrt(8))*-1)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -289, -541, -961, -1549, -2305?\n\"Answer: -84*f**2 - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57930\/173 or 334?\nAnswer: 57930\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = 9*n - 314 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2792 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -0.1, -40\/61, 9\/5?\nAnswer: -40\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**3*u*w*z + 216*l**3*u*w - 3*l**3*u*z + 61*l**2*u*w + l**2*u*z - l*u*w*z + 2*l*w + 3*l*z + 2*w*z wrt l?\nAnswer: 18*u*w*z + 1296*u*w - 18*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 307683 - 307683 - 17*f**3.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105213249 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**3 - j**2 + 2*j - 1. Let g be l(1). Let y be (-1)\/((2 + -4)*3\/132). Suppose y*p + 33 - 143 = 0. Solve p*v = 5*u, 18 = 2*u + g*v - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 4:51 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*a + 45 - 58, -3*o - 1 = 5*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -927 - -880. What is the closest to 0 in 1\/5, j, 8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2\/5, 0.5, -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 133*w**2 + 53*w + 43. What is the thousands digit of s(66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950304.\nAnswer: 2, 3, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*t + 273 = 0, -27*t + 191 = 3*r - 32*t. Suppose r*i + 713227 = -1823273. Round i to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46529093 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3066662 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.62565 days to microseconds.\nAnswer: 6188456160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26472.57 plus -757?\nAnswer: 25715.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*h + 35 = -102*h. Suppose -80 = -2*g + 40*c - h*c, 0 = 3*g - 5*c - 115. Solve -5*n = 2*d - g, -n - 7 = 4*d - 32 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2419 and 52687?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 174.855 and -519.02961.\nAnswer: -344.17461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = -29*c - 1016. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0.13, -7, -4, 73\/3, -3.9 in descending order.\nAnswer: 34, 73\/3, 0.13, -3.9, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4263769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17474\/3 + 5815. Suppose -2*l + 38 = -0*l - 2*j, 5*l - 4*j - 91 = 0. Suppose -6*m + 5*m - l = 2*v, -m - 4*v = 21. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 10*v - 4. Let n be j(6). Let l be (-2800)\/n*(-33)\/(-2)*-2. Round l to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2067 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 58*p + 61*p + 10, -2*p + 53 = 57*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 19 = -s, -s + 4*s = 2*f + 17. Suppose -4*a = -s*t + 2*t + 143, -a - 772 = -5*t. Is t - (-4 + (1 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 166\/12 + 1\/6. Suppose -2*a + m = -58. Calculate the greatest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/90 - (-13 + (-309)\/(-24) - 737\/24)\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*i - 11, 5*u = 3*i - 497. Let s = -45 - u. Suppose s = 2*y - 5*q, -8 = q - 3*q. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 25. Let d(n) = -n**2 - n + 117. Suppose j + 0*j = 0. Let b be d(j). Calculate the greatest common factor of p and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366374.8l to millilitres.\nAnswer: 366374800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x)*(-1 + 1 - 2) - 3 - 5*x + 0 + 4*x.\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjmmmmmmmjm. Give prob of picking 3 m.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 7*f**2 + 15*f - 12. Let j be x(-9). Solve 5*u = -m + 4*m - j, 5*m - 25 = 4*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/n**(9\/4)*n)*n**11*n**(-5)*n**(-11) assuming n is positive.\nAnswer: n**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = w, 2*w + 1 = -2*k - 5. What is the nearest to -1 in -0.5, w, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s - 7 = -4*g, -3*g - 15 = -3*s. Suppose 0 = -n + 27 + s. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + -1 + -2.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**3 - 7*t - 46. Let h(y) = -8*y**3 + 6*y + 47. What is -6*g(z) - 7*h(z)?\nAnswer: -4*z**3 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 = -60*v - 39 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/738 and (10\/(-96))\/(-2 + (-515)\/(-260)).\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 2. Let s be d(5). List the prime factors of (4 + s + 5)*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25135 + 21167 = 31*a for a.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a + 2. Let j be q(-4). Let f be 170\/(-34)*(-1 - 1). Suppose 3*d - f = j. Calculate the remainder when 76 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 2*b - 1\/12*b**4 + 0 + 1\/2*b**2 - 7\/6*b**3. What is the units digit of c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 10*n**2 - 12*n + 17. Let z(f) = -f + 1. Let d(l) = -h(l) + 5*z(l). What is the remainder when 40 is divided by d(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(9\/12)*3. Let w = 4 + p. Suppose w*k = -k + 9. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6021299.9999992 + 6021304. Let c = x - 4. What is c rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -15\/2*r**2 + 22 + 15\/2*r**4 - 5\/2*r**6 - 20\/3*r**3 + 2*r**5 + 10*r. Let a(c) = 0. What is c?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1220*f*r**3 - f*r**2 - 11*r**3 + 19*r**2 - 5*r - 40 wrt r?\nAnswer: 7320*f - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190576577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 16*g**2 - 48*g + 203. Is y(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imgmgigi. Give prob of picking 2 m and 2 g.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/11, 0.0244, 0.4, -0.1, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*b - 37, -2*b + 3*l = -4*b + 1. Let u(t) be the first derivative of -3*t**2\/2 - 7*t - 3. Let v be u(-5). Solve 3*c - b*c + v = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and 25\/1388?\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331013102 + 13?\nAnswer: -331013023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.73 - 0.17. Let k = 0.5 - y. Which is the closest to 0.1? (a) -0.4 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71*q**3 + 70*q**3 - 47*q + 47*q + (-10 + 3 - 2)*(-28*q**2 + 7*q**3 + 28*q**2).\nAnswer: 78*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3*(-4)\/(-264)). Let z = 13 - a. Are -9 and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.217? (a) 2\/13 (b) 3\/124 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrcrcccccrrrcccrrc. Give prob of sequence crc.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q - 48. Let a be m(5). What is the greatest common factor of 65 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from yyfyyyyyyyysyyy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-14) - 2\/4. Let f be (r\/(-2) - -3) + 36\/2. Let x = -22 + f. Which is the closest to -1? (a) x (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.15, -226\/9, 5, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 840905 less than 840905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 10. Let w be j(-10). Suppose -5*f - 12 + 142 = w. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -10, 2, 26, 62, 110, 170?\n\"Answer: 6*i**2 - 18*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 5. Let u be m(3). Let d be (15 + -3)\/u + 1. Let c(f) = -f**3 - 5*f**2 - f - 3. Give c(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*f + 71*f - 430 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108 + 421 + 7)*(185 + 16*s - 185).\nAnswer: 5120*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 35000 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*h - q + 2, 4*h - 5*q = 13. Suppose -5*b - 3 = h. Let c be ((-45)\/(-12))\/(b\/(-24)). Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((17 - 12) + (-14 - -3) - -11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -682*p**5\/5 + p**3\/3 + p**2\/2 - 555*p - 3411. What is the second derivative of v(j) wrt j?\nAnswer: -8184*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w**2 - 8*w**3 + 17*w**2)*(2*w + 3*w - 3*w).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 32 = -13*q + 12*q, -5*q - 85 = -5*h. Suppose 9169 + h*x + 4*x**2 - x**2 - 9187 = 0. Calculate x.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/((-6 - 13)\/247). Solve 107*f - g = 94*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let k(t) = -t**2 - 6*t + 8. Suppose 4*q + 23 + 5 = 0. Let i be k(q). What is the units digit of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658\/10*(-22110)\/10318?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 2*v, 2 = 2*x + 490*v - 518*v - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 26 - 5*x)*(-x**4 - x**4 + 3*x**4) - x**5 + 5*x**5 - 3*x**5 + (-x + 2*x - 3*x)*(-x**4 - 2*x**4 + x**4) + (-2*x**4 - 4 + 4)*(2 - 2 - 3*x).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-25))**(10\/17) assuming b is positive.\nAnswer: b**(-250\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(9\/(-600)*2). Let f = -120 + k. Is (-1 + f)\/(0 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2680*a + 1676 = -3684 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 293 + -267. What is the remainder when c is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/8*4*1. Let s = -7 + t. Let q be (-1 + -2)*1*-1. Solve p - s*i = 0, -3*p + i = -p + q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 10*w - 13*w + j - 12, 0 = w + j - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*z + 32 = 0, -3*s - 27 = 5*z + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*u + 32 = -a, 0 = -4*a + 3*u + 32. Suppose -4*v - t = -3*v - a, 3*v - 3*t = 12. What is the least common multiple of 7 and (-1 + -2)*(-20)\/v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 48*c + 320. Solve -c*b - 4*r + 10 = -3*b, 4*b - 5*r + 33 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*l + l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 != 457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/(-16))\/5)\/5*(-4)\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8) - 2\/8. Suppose r - 6 = -3*r + 3*f, -3*r - 3*f + 15 = 0. Let w = r - i. Which is the third smallest value? (a) -1\/3 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxcc when four letters picked without replacement from xcccccccccccc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkbbkkbkbkkkbkkkkb. Give prob of picking 2 k.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4*p**2 - 2*n**2*t**2 - 1838*n**2 - 8*n*p**2 - 109*n*p*t**2 + p**2*t**2 wrt n?\nAnswer: -12*n**2*p**2 - 4*t**2 - 3676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2. Suppose 4*i + i - 15 = 0. Let n(c) be the first derivative of c**2 + i + 2 - 4. Give n(v(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 787289 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {g: 3, y: 2, d: 3, p: 1, b: 3, f: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3166344 (b) 1 (c) -2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1548*c**2*s + 254*c**2 - c*s - 5*c + 59451275*s + 1 wrt c?\nAnswer: 3096*c*s + 508*c - s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 76307*0.2\nAnswer: 15261.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.6 rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**2 - 5*o - 4. Let g(u) = -6*u**2 - 4*u - 4. Let w(t) = -4*g(t) + 5*q(t). Calculate the remainder when 7 is divided by w(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1963)\/39)\/(-1 - 4\/(-3)). Let m = 153 + t. Solve 0*a - m*a = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 4. Let y(u) be the second derivative of -u**4\/12 - 286*u. Calculate b(y(a)).\nAnswer: -a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:19 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 6\/6502697 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/80288 and 137\/624?\nAnswer: 240864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105398096?\nAnswer: 2, 17, 387493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/4 - 21*q**4\/4 + 51*q**3\/2 - 47*q**2 + 30*q = 0.\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 2:03 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 108131*h - 108128*h - 50, 5*h = 3*m + 46 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -711 - -508. Let w = b + 440. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 17*f**3 - 81*f**2 + 141*f - 43. Determine t(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(61\/(-366))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-2)\/20*(-2255)\/(-44).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8430, -17614, -26800, -35988, -45178?\nAnswer: -54370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 48.2\nAnswer: -96.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 5*f - f - 2*t, 0 = -5*f + 5*t + 165. Suppose -2*o + f = -10. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.832 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/4 - 17*l\/4 - 35\/2 = 0. What is l?\nAnswer: -10, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -2, 19 = -3*n - 5*f. Solve -p = -5*p + 2*j + n, 2*j + 16 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 7)*(-6*y - 6*y - 2*y) - 3 + 6*y - 3 - 4*y to k*y + s and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*sqrt(114)\/(sqrt(24)\/sqrt(4)) + sqrt(171)\/(sqrt(9) + sqrt(27)\/sqrt(75)) + -4)*2)**2.\nAnswer: -560*sqrt(19)\/3 + 23851\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*v - 92*v + 102*v)*(-7*v**4 + 68*v**2 - 68*v**2).\nAnswer: 903*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8*-179609\nAnswer: -1436872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 17*p + 76. Let c be (-2)\/(-6) - 4\/(-6). Suppose 2*q = c + 7. Calculate the remainder when t(-4) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3738 + 3741. Which is the closest to 4? (a) 0.1 (b) t (c) 2\/13 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67979145 divided by 39.\nAnswer: -1743055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15.33 (b) 353 (c) -31 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**4\/6 + 177*z**2 - 2. Let i(v) = -4*v**2 - 6*v. Give n(i(q)).\nAnswer: -16*q**2 - 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236037 - g - 14*g - 236037.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 502.\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let o = -1 + 1\/2. Let t be (1\/(-1))\/(0 + -3). What is the third biggest value in t, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 9 - 6*d + 2*d - 8*d. What are the prime factors of b(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.2 not equal to 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2. Let d(n) = -5*n**2 - 1. Let f(m) = -522*m**2 - 87. Let x(a) = 174*d(a) - 2*f(a). Give x(v(k)).\nAnswer: 174*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**3\/3 + f**2\/2 - 16. Let g(u) = -6*u**2 - 2*u + 3. Calculate -g(m) - 5*r(m).\nAnswer: m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1 + 7\/7. Suppose 12 = 4*j, 0*d = -3*d + 2*j + 9. Suppose 0 = -4*p - d*y - 12, 4*y = -4*p - 2 - 6. Solve -3*o - p*x = -w*x + 4, 2*x + 2 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f - 45 = 0. Let q = 12 + f. Suppose t = -2*t + 9. Solve -t*h + 13 = n, 3*n = -5*h + q*h + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:13 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 37*c - 3. Let q be u(15). Suppose 23 + q = 7*z. Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -84. Suppose -q*v - 25*v + 94 = 0. What is x in 0 + 1\/9*x**3 - 1\/9*x + 0*x**v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57283, -114575, -171867, -229159, -286451, -343743?\nAnswer: -401035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1426, 5674, 12754, 22666, 35410?\n\"Answer: 1416*u**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**3 + 5*r**3 + 9*r + 0 + 7 + 1 - 10*r**2. Let t be d(9). Solve 4*y + 14 = 3*b - 2*b, -4*b + t = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*110\/180*54\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -64, -259, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895.95 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5947*z**3 - 9*z**2 + 20. Is 58 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m - 1. Let s be g(2). Let i be 1\/5 + (-216)\/s. Let z = -38 - i. What is the lowest common multiple of 12 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44\/5 of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 64*t**2 + 22184*t\/7 + 334176\/7.\nAnswer: 2*(t - 118)**2*(t + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006102 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**7\/5880 - n**6\/2520 - 5*n**3\/3 - 5. Let v(p) be the third derivative of k(p). Factor v(q).\nAnswer: q**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 g, and 1 x when four letters picked without replacement from {x: 11, c: 5, s: 1, g: 2}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**3 + g**2 - 2*g + 1. Let o be x(1). Solve -3*d = o*j + 2*d - 25, -25 = -5*j + 4*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 332940 and 358.\nAnswer: 332940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 8*b - 10. Let s be t(6). Let j be ((-4)\/s)\/((-3)\/((-45)\/(-10))). Solve -5*o - 4 = 2*y + 6, j*y - 4*o = 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8551 - 3991 = -152*d for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let w(g) = 5*g + 1. Determine -3*t(u) - w(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25533 is divided by 336?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 4120\/9 and 459 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 7:54 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/65005 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22044, 22444, 22844, 23244?\nAnswer: 23644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*w + x - 8, 4*w + 4*x - 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**26\/a))\/(a\/((a*a**(-3\/31)*a)\/a)))\/(a**(-1\/3)*a**(1\/20)) assuming a is positive.\nAnswer: a**(-46153\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -88696214?\nAnswer: -88696199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = a - 1. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3285 (base 11) to base 6\nAnswer: -32012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c75 (base 15) to base 2\nAnswer: -101011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -172, -181, -208, -259, -340, -457, -616?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113.47 - -0.47. Let b = 112.99152 + n. Round b to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 24*k = -77*k + 1411200. Does 42 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1369 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*p**3*u + 4799*p**3 + 40*p*u wrt u.\nAnswer: -21*p**3 + 40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 4*t**2 - 5*t**2)*(1 + 2 - 1) - 3*t**2 + 6*t**2 - t**2 - 80 + 2*t**2 + 80 + 14*t + 34*t - 34*t + t**2.\nAnswer: -9*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/418 and -61\/16264?\nAnswer: 178904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 763 - 758. Let q = -14 - -29.3. Let n = q - 15. Which is bigger: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350) + (sqrt(350)*1*1 - sqrt(350) - sqrt(350)))\/((-1*sqrt(49) - sqrt(49))\/sqrt(7) + sqrt(7)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*m - 108, 138 = 4*o - 3*o - m. What is the remainder when o is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3639686 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14e (base 15) in base 9?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-4))\/(48\/(-32)). Sort 2, 4, -8, i in ascending order.\nAnswer: -8, 2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 6*n - 415. Suppose 9*s - 2*b + 57 - 450 = 0, b = 4*s - 174. What is the lowest common multiple of s and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjjq when four letters picked without replacement from {q: 4, j: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12734152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3887 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 1945076*p + 472915080722.\nAnswer: 2*(p - 486269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in 0.3, -4, 2\/15, 22, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21703790471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-15))\/(4\/10). Sort 4, q, -5 in decreasing order.\nAnswer: 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5 = -4*r, -3*r + 8*d - 3*d + 30 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(2448) + 1)*-2)**2 - (sqrt(2448) - (2 + 1*sqrt(2448)))).\nAnswer: 288*sqrt(17) + 29394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*f*t - 3*f - 2*t**2 + t + 58 wrt t.\nAnswer: -96*f - 4*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (979 + -1)*1\/3?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9022921 nanoseconds to microseconds.\nAnswer: 0.0009022921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10996320*y - 22487700 wrt y.\nAnswer: 10996320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299243479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.728 - 3.272. Let x = -2.7 - -3. What is the second biggest value in x, -1, 0.7, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-2) - (-366)\/(-60) and (-255)\/36 - (2 - 3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 5979547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7)\/s)\/s)**(6\/5)*(s\/(s**(-1\/4)*s))**(-10\/9) assuming s is positive.\nAnswer: s**(-1147\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -14 (b) -72 (c) -212 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -717*k + 346*k. Let n = -94.979 + -0.021. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -11. Let p(b) = -16*b**2 - 35*b + 54. Let q(t) = -3*t**2 - 7*t + 11. Let g(m) = s*p(m) - 11*q(m). Is g(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 3*i - 9 - 5 as t*i + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (4 + -2))\/((-52)\/(-26)). Suppose t = 10*b - 9 - 21. Solve -4*i = -5*q + 28, 3*i = b*q + 2*i - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 + 85*p + 227. Calculate u(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y - 5*w = 54, -15 = -3*w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.9 - -17.8. Let j = 8 - f. Let o = 4.9 + j. What is the smallest value in o, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/2 - (-1 - -1). Let g(d) = 22*d. Let l(z) = -39*z + 5. Let f(w) = 16*w - 2. Let k(p) = -5*f(p) - 2*l(p). Give t*g(q) + 68*k(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*k = 0, 0*k + 3 = 3*k. Let d be (20\/(-12))\/(1\/m). Suppose -15*h**3 + 3*h**2 + 7*h - h**3 + 1 + d*h**2 = 0. What is h?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + k. Suppose 2*j + 4*s = 10, 0*j + 2*s + 1 = 5*j. Let g(b) = -b**2 - 1. Let h(d) = j*z(d) + 2*g(d). Factor h(v).\nAnswer: (v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 + n**2 - 1. Let r(m) = 22*m**3 + 12*m**2 - 3. Determine -r(y) + 6*v(y).\nAnswer: -4*y**3 - 6*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 2 o when four letters picked without replacement from {q: 6, o: 3, u: 2, n: 2, d: 1}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 27*j**3 + 0*j**2 - 26*j**3 + 0*j**3 + 4*j**3 - 2*j**3 + (0*j**3 - j**3 + 3*j**3)*(2 + 0 - 1).\nAnswer: 5*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -36 - 29. Solve 2*h - h - 2*f = l, -3*f = 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 409920 and 265?\nAnswer: 21725760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(18) + (sqrt(10) - (sqrt(10) - (sqrt(490)*-2 + sqrt(10)))))\/(sqrt(55)\/(sqrt(539)*-1)).\nAnswer: 266*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*r = -178, 4*r = p - 0*p - 31. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - l = -48, -l + 35 = -5*i - 25 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 4350.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 2632627.\nAnswer: -45\/2632627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*n - 0*n + 13, 2*a = 4*n - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-9)*(-1 - 2). Let k(c) = 2*c**3 - 8*c - 4*c**3 + 0*c**2 + 3*c**3 + 2 - g*c**2. What is k(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*(w**(-6)*w)\/w))\/w*w\/(w**(-5\/2)*w))\/(w**2)**(1\/39) assuming w is positive.\nAnswer: w**(503\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/7)*u)\/u)**(-8) assuming u is positive.\nAnswer: u**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 46\nAnswer: 19\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 80\/2201 + (7\/(-21))\/(217\/42)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1646879 times 1\nAnswer: -1646879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 18*f**2 + 3*f + 195. Determine g(17).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92220351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/10 + 2*y**4\/3 - 6*y. What is the third derivative of g(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 + -1 + 1. Let j(n) = 6 - 37*n**2 - 4 + 36*n**2. Let t be j(-2). What is the nearest to -0.1 in t, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - 8 - (-10 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 45 + 65. Suppose 0 = 9*b + w*b - 4446. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5658)\/369)\/((-40)\/(-12)))\/(1\/(-5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7937 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2361, 2351, 2341, 2331, 2321, 2311?\nAnswer: 2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let r(b) be the second derivative of -b**5\/2 - b**4\/6 + b**2\/2 + 4*b. Calculate the least common multiple of r(g) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 - -63. Let m = -97\/2 - k. What is the closest to -1 in 0.5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {a: 2, v: 1, m: 6, s: 5, k: 3, r: 3}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-32)\/(-48))*((-6)\/51 + 1220\/8925)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*l + 97 = 0, 3*g + 13 = 2*g - 3*l. Let z be ((-33)\/g)\/(17\/(-10) + 2). Solve 0 = z*a - 2*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*c = 3*c + 423, -4*c + 12 = 0. Let h = 156 - p. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - l**5 + 2*l**3)*(-157 + 414 + 171).\nAnswer: -428*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/(-27))\/13*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6\/17)*(b*b**(-1\/15))\/b)\/(b**(1\/8))**20 assuming b is positive.\nAnswer: b**(-979\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 3168 = -68*m. Suppose -3*w + 88 = -2*w - 2*y, 2*y - 4 = 0. What is the remainder when w is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*b + 15, 3*b - 5*c - 9 = -2*c. Suppose -14 = 2*i + 4*w, 8 = -b*i - 4*w - 8. What is the biggest value in -3\/4, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:56 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Suppose 0 = k + 3*c + 3, 2*c + 0*c + 4 = 0. What is the first derivative of -h - 1 - 4*x + k wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1377) + 0).\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/287 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lshaasagllaehall. Give prob of picking 1 l, 1 g, and 1 e.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 234 + -231. Sort 4, -9, o in descending order.\nAnswer: 4, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*a**3 + 64*a**3 + 281*a + 13 - 243*a - 1.\nAnswer: 4*a**3 + 38*a + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-5)\/20)\/((-2)\/(1683488\/12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 168590610 rounded to the nearest one million?\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560 = -1724*v - 4008 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5124 and 694302.\nAnswer: 1388604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21592 is divided by 21590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*h - 45 - 131 = 100*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0784981195 rounded to 3 decimal places?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/3748 (b) -1\/6 (c) -9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.628728 rounded to 3 dps?\nAnswer: 0.629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8875346 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 138463836 - 138463836.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309699?\nAnswer: 1309699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.9. Suppose 6*f - 3*f + 15 = 0. Let u = 0 + f. Sort x, u, 0.1 in decreasing order.\nAnswer: 0.1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/22 - ((-29)\/(-11) + -3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.5757 millilitres in litres?\nAnswer: 0.1715757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a**3*c**3*g*q**3 - 2*a**3*c**2*g*q**2 + 2*a**2*c*g + a*c**2*g*q**2 - c**3*g - 22*g*q**3 wrt q?\nAnswer: -42*a**3*c**3*g - 132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 48*g\/5 + 576\/5.\nAnswer: (g - 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 13, m: 5}. Give prob of picking 1 w and 2 m.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217124 is divided by 20921?\nAnswer: 7914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2*o**2 - 1)*(-3*o**2 + o**2 + 0*o**2) - 3*o**4 + 5*o**4 + 4*o**4)*(0 - 4 + 1) to the form y*o**2 + h*o + s + b*o**4 + g*o**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 + 0.5. Let a = 3.025 - 0.025. Let t be 2*(12\/(-8))\/3. What is the second biggest value in t, -0.1, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2280982?\nAnswer: 2, 11, 103681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, m: 6}. What is prob of picking 1 c and 1 m?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 2.73 (c) -3 (d) 0.023 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -248 - -415. Let l = i + -167.2. What is the closest to -0.1 in 3, 7, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 8:52 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:03 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/40 and -68\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6046 divided by -3023\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -1 + 5 + 3. Suppose -2*m = u, -3*h - 4*m = -5*h + 528. Is 38 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/29 in -0.4, -0.5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/28253028 and 36\/8215.\nAnswer: 141265140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 25*p**8\/336 + 7*p**5\/20 - 23*p**2. What is the third derivative of t(c) wrt c?\nAnswer: 1500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**7*j**(3\/8))\/(j**5\/j*j**(-2\/5)) assuming j is positive.\nAnswer: j**(-369\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1030, -3, -2, 44, 0 in increasing order.\nAnswer: -3, -2, -1, 0, 44, 1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 - 3) - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -2*sqrt(84))\/((sqrt(432)*-1 - sqrt(432)) + sqrt(432)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 11*m + 1887*m**4 + 2*m**2 - 945*m**4 - 941*m**4 as f*m**2 + h*m + c + r*m**4 + s*m**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -281*v**3 - 2*v**2 + 153*v**3 - 2 + 1103*v + 126*v**3 in the form y*v**3 + g + b*v**2 + c*v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141102 or 4656392\/33?\nAnswer: 141102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*a - 3*p, -5*p + 3 = 4*a - 2*a. Let k(i) = -14*i**3 + 2*i**2 - 1. Determine k(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 8:55 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 38. Let i = 22 - 18. Suppose b + 45 = 4*h + h, -i*b - 28 = -h. Solve -3*q + 15 = 2*z, -f = -4*z + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 28688*l**2 + 86118*l - 516492 = 0. What is l?\nAnswer: -6, 3, 14347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*t**4 + 11*t**3 - 23*t + 4?\nAnswer: -276*t**2 + 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 10. Suppose -80*w + 30 = 110. Sort z, 4, 10, w in descending order.\nAnswer: 10, 4, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2918 in 3\/13, -6\/5, -2\/81?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 7*a**2 + 1. Give i(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12*j - 9*j - 3 = 0, j - 10 = -4*v. Put 0, 12, v, -7 in descending order.\nAnswer: 12, v, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgtasshj. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(1\/94)\/((m**(-2)\/m)\/(m\/m**(-4\/5))))**(-3\/17) assuming m is positive.\nAnswer: m**(-399\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112281.\nAnswer: 3, 13, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -1.6, -2\/21, 288, -793?\nAnswer: -793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -43*g**4 + 13*g**2 + 9. Let q(r) = -11*r**4 + 3*r**2 + 2. Let z(w) = 9*q(w) - 2*u(w). Find the third derivative of z(x) wrt x.\nAnswer: -312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000031 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 1. Let j(h) = -163*h - 26 - 162*h + 320*h - 3 - 1. Determine -j(z) + 4*s(z).\nAnswer: z + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 14*v**2 + 13*v + 18. Let y be j(-13). Is (222\/y)\/(3\/99) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6111, 28056, 65817, 119394?\n\"Answer: 7908*n**2 - 1779*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3\/3 - 5142980*l**2\/3 + 8571654*l + 10285980 = 0?\nAnswer: -2571495, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 301 = 6*l. Let s = 73 + l. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 4:37 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6385707 divided by -137\nAnswer: 46611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -133888.86 rounded to the nearest 10?\nAnswer: -133890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 3:07 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175748 + -108477. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3\/8 - o**2 + 6*o = 0.\nAnswer: -12, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 2*o**3 + 79*o**2 - 40*o**2 - 39*o**2.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Put -2, -23, 0 in decreasing order.\nAnswer: 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6293 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14224*b. Let m(f) = -16*f**2. What is x(m(y))?\nAnswer: -227584*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c + 15. What are the prime factors of j(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 73 = 3*j. Solve f + 4 = -3*f, -m - j*f - 7 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214993 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 6298974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -28222 greater than or equal to -342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/5)\/(1\/(0 + -6 - -1)). What is the nearest to 1\/4 in u, -0.3, -2, 2.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786*i + 778*i = -225888. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49.99261 - -50. What is z rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 32 + 68 - 36 + 0*t**4 + 31*t**4 - 2*t**2 + 2*t**3 in the form o*t**3 + d*t + v*t**2 + c*t**4 + u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (181 - 1) + (-3)\/(-3). Let v = 4161\/23 - i. Let o be ((-8)\/(-10))\/((-28)\/(-70)). Which is the third biggest value? (a) v (b) o (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 4*s + 7. Let h be b(6). Suppose -3*u + 25 = 2*u. Suppose 5*t - 35 = -5*c, -u*c + 3*t - 7 = -2. Sort -2, h, c in ascending order.\nAnswer: h, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8842523 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/(sqrt(20)\/sqrt(5)))\/(sqrt(324) + -4*sqrt(324)) + -2)*-6)**2 + 5.\nAnswer: 8*sqrt(2) + 1343\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 901303958*q**4 - 1131855149*q.\nAnswer: 10815647496*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d*x + 1093034*d - 440258097*x wrt d?\nAnswer: -3*x + 1093034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:49 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**2 - 4*k - 4. Let o(g) = -g**2 - g - 1. Let n(l) = -5*o(l) + x(l). Give n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13986089*g**4 - 7299038*g**2?\nAnswer: -335666136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-7))\/t)\/(t\/(t**(-6\/7)*t))*t**(-1)\/t**(1\/2) assuming t is positive.\nAnswer: t**(-131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t + 4. Let m(g) = 7*g + 2. What is 2*j(w) - 5*m(w)?\nAnswer: -5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -46, -65, -84?\n\"Answer: -19*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**2 + 12*t - 73. Let u(z) = 5*z**2 + 4*z - 38. Let k(h) = -3*s(h) + 5*u(h). Give k(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1 + -1)*(0 - 1). Which is greater: 39 or l?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**3\/3 - 2*k - 4. Let b be u(-2). What is the first derivative of -1 + b*n**3 - 3*n**3 - 2*n**3 + 5*n**3 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 18*y**2 + 52*y + 48.\nAnswer: 2*(y + 2)*(y + 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -824579547 rounded to the nearest one million?\nAnswer: -825000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221000112 - -2?\nAnswer: 10221000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*-5)\/sqrt(8)*-1 + 5*(sqrt(24)\/sqrt(4)*-6)\/sqrt(3).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17542 = -6*r - 8638. Does 53 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7017*g**4 + 20*g**2 + 27 wrt g?\nAnswer: -168408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 53490 = 53425 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 375.\nAnswer: 57750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4\/4 - 41885*j**3\/4 + 872970*j**2 - 18286065*j.\nAnswer: 5*j*(j - 8293)*(j - 42)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 681995*t**2 + 23135706875*t + 8204871796875.\nAnswer: 5*(t - 68375)**2*(t + 351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -5, 110, 351, 754?\nAnswer: 1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 464911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -499 (c) -240\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*x + 5*r, -x + 13 = -2*r - 3*r. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 6. Let v = 3.9999975 + i. What is v rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**0\/p)**(-2\/3)*(p\/(p\/p**(-1)))**(-13))**(-39))**26 assuming p is positive.\nAnswer: p**(-13182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 6*u**2 + 7*u**2 + u as n + h*u + g*u**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - 6*j + 7*j - 7)*(2*j - 4*j + 4*j) to the form l + o*j + d*j**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/122137 and 163\/344988.\nAnswer: 1138805388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231311 (base 4) to base 15.\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 8 = 4*f + 12, 5*f + 6 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 6)*((-10)\/4)\/5. Suppose k = -2*o + 9. Calculate the highest common divisor of 21 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112352 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.501283mg in nanograms?\nAnswer: 5501283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 2*u**2 - 5*u**2 - 3*u**2)*(3*u**3 + 1 - 1).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/20 + f**4\/4 + f**3\/2 + 6*f**2. Let g(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k - 8. Suppose 8 = -4*u + 2*u. Let y be r(u). List the prime factors of 2*y + (1 - 4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16 - -105)\/(24\/250). Let h = -1589 + 670. Let j = m + h. What is the common denominator of 91\/20 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31\/((-682)\/(-114)) + (-4)\/22 and 735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c = -3. Let u(d) = -d**2 - d + 1. Let f(s) = -s**2 + 4*s - 4. Let t(a) = c*f(a) + 4*u(a). Let n(l) = -4*l. What is t(n(q))?\nAnswer: -80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + 45*p + 103. Let j be r(17). Which is the closest to j? (a) 49 (b) 1 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/(11\/(-99)). Suppose z*x = 2*m + 56, 2*x + 5*m - 50 = -0*x. Solve 11 = 3*h - 3*l + 2*l, -4*h + 4*l + x = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 136\/(-26) + 88\/110*(-3 + -2). What is the smallest value in k, 2, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 138.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 13012444?\nAnswer: -13013004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 - 20*b - 15 = 0 for b.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3. Let o be u(-1). Suppose g = 3*g - 2. Let q be 0\/((-1)\/(2\/2)). Solve q = 2*s - o - g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 + 5 - -5 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2317*l**2. Let f(d) = 871*d - 2. Give f(n(a)).\nAnswer: -2018107*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 28*v**3 + 96*v**2 - 100*v + 34.\nAnswer: -2*(v - 1)**3*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 1, l: 5, j: 4, n: 2}. What is prob of picking 2 n and 1 l?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532 - 257*h**2 + 533 - 1596 + 527.\nAnswer: -257*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l - 14. Suppose -3 = 3*f + 3. Let n(o) = -4*o - 7. Let w(m) = 16*m + 29. Let j(c) = f*w(c) - 9*n(c). Calculate -17*j(s) - 6*r(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16*z - 80. Let j be u(5). Sort j, 21, -4 in descending order.\nAnswer: 21, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41800669?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*4\/(-9). Which is the third biggest value? (a) -0.3 (b) 2\/15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-15) - (-4)\/10. Let d(k) = 3 - 2*k**b + 0*k**3 - 2 - k - 3*k**2. What is the units digit of d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -63\/29476?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 6*m - 1. Let d(h) = -h**3 - 2*h**2 - 4*h - 26. Let i(x) = d(x) + 2*s(x). Calculate i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*s**4 + 5*s**3 - 3*s**2 - 7*s + 940 wrt s.\nAnswer: 1596*s**2 + 30*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(108\/(-810) - 238\/1365)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3672)\/64)\/9 + 6\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/4)\/(29\/87))\/((-45)\/1140)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376361091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 44*b**3 + 6*b**2 - 6*b - 3. Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1202581771168\nAnswer: -1202581771169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -13*n**6\/30 - n**5\/30 - 281*n**4\/24 + 458*n**2. Find the second derivative of j(b) wrt b.\nAnswer: -312*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 340, 0 in decreasing order.\nAnswer: 340, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*j**4 - 65*j**2 - 3222*j wrt j?\nAnswer: -696*j**2 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + 0.07. Let c = -185.32 - -185.82. Let w be 1 + (-6)\/5 + 0. Sort c, w, -10\/11, d.\nAnswer: -10\/11, w, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6560621?\nAnswer: 229, 28649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.173+-1631244731\nAnswer: -1631244731.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 23, -0.07, 4, -178\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-80))\/3)\/(924\/(-770))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/42 + (-9)\/(-105). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 76114, 304012, 683702, 1215184?\n\"Answer: 75896*i**2 + 210*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 5*y - 5*y - 424 + 3*y.\nAnswer: 3*y - 560","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -45*i**2 + 22. Determine m(-4).\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 - 2*z + 1. Let w be s(2). Let u(a) = -6*a + 3. Let r be u(w). Let l be ((-20)\/(-975)*r)\/((-2)\/(-5)). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/8*(-4)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 78*l**2 + l. Let t(b) be the second derivative of 1\/6*b**3 + 0*b**2 + 3*b - 12. Determine r(t(c)).\nAnswer: 78*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 81 = -5*j, 0 = -2*j + 3*j - 4*w + 3. Let c = 30 + j. Is 15 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6875.952 weeks to milliseconds.\nAnswer: 4158575769600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345238679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 13*y**2 - 13*y + 18. What is the tens digit of q(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 26*v - 171. Calculate k(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 - 403 - 154 - 219)*(-6*o**3 + 2*o**3 + 3*o**3).\nAnswer: 866*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1514399657 rounded to 3 decimal places?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from atprlae?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -239600 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 - 87*t**2 + 163*t - 2194. Give z(28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 816467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -6433?\nAnswer: 6437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 - 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 80*z + 181. Determine s(70).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(1 + 2*v - 1)*(4 - 3 - 3) to l + h*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -2\/5, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 5. Let j(n) be the second derivative of -5*n**4\/12 + n**3\/2 - 3*n**2\/2 + 12*n. Let u(v) = 3*v**2 - 16*v + 9 + 23*v**2 + 7. What is m*u(l) - 16*j(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 24*x**2 - 38*x - 54. Let d be f(-24). Let r = -798\/25 - -10451\/300. What is the common denominator of r and -2 + -6 + 6214\/d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/5234 and 15\/16.\nAnswer: 41872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 21*v**2 + 5*v + 2. Let d(z) = -21*z**2 - 6*z - 2. Let n(t) = 5*d(t) + 6*u(t). Let w be n(2). Round w to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/10 + 1)*(-272)\/(-51)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*b + 82*b**2 - 131*b + 381*b - 118*b to s*b**2 + u + j*b and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 119.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.3 - -14. Let h = 3 - y. Let v(s) = 3*s + 6. Let l be v(-4). Which is the second smallest value? (a) l (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26447504.\nAnswer: 2, 457, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 84\/9)*66. Let i = 250 - m. Solve -2*b + 12 = b + z, -3*b = -5*z - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -5*y**4\/12 + y**3\/2 - 264*y**2. Let n(a) = -66*a + 19. Let z(s) = -2*n(s) + 13*r(s). Let w = -13 + 7. What is z(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b + 2*b + 2*b + 2. Let p be k(2). Let g(u) = u**2 + 6*u + 1. What is the units digit of g(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**5 + 2*f**4 - 2*f**4)*(-203 - 227 + 488 + (-2 - 1 + 4)*(1 + 0 + 1) + 2 + 1 - 1 + 1 + 2 - 5 + 3 + 0 - 5).\nAnswer: 174*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459, -2\/9, 8272 in increasing order.\nAnswer: -2\/9, 459, 8272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*h + 876 = 0, -h + 201 = 3*q - 683. Let b = 355 + q. Does 59 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = 0. Let v(c) be the first derivative of c**2 + 2\/5*c**5 + 1 + 0*c**3 + h*c**4 + 0*c. What is the second derivative of v(z) wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/105*1)\/((-9)\/15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*d - 5 = -2*d, 0 = -4*d. What is the highest common factor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*w - 4 = 6, -n - 2*w - 4 = 0. Solve n = 2*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 4\/4) + 4. Let d(u) = -w - 20*u - 16 + 21. Let p(t) = 2*t. Determine d(p(r)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*16\/616 - (-389)\/220 - 2?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -89, -205, -373, -593, -865?\n\"Answer: -26*q**2 + 14*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -18976.839057.\nAnswer: -18972.839057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2983\/2 or 29841?\nAnswer: 29841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 158702*v + 31*v**2 + 158788*v in the form a*v**2 + c + b*v and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -713727 or -1427453\/2?\nAnswer: -1427453\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682 or -739?\nAnswer: -739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -3, -521, 0.\nAnswer: -521, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1435\/12 and 120 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 369*k + 361*k + 110 = 0, 5*c = -5*k - 45 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 1. Let m(g) = -2*g**5 + 16*g**3 - 2*g - 12. Let w(d) = m(d) + 12*p(d). Let w(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2\/7 - 1012*f\/7 + 12480\/7 = 0. Calculate f.\nAnswer: 13, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403897, 1615660, 3635405, 6463246, 10099297, 14543672?\nAnswer: 19796485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llw when three letters picked without replacement from {l: 4, d: 10, w: 6}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let s(d) = 31*d**2 - 17*d - 9. Let l(r) be the first derivative of 13*r**3\/3 - 4*r**2 - 4*r + 58. Let t(a) = -9*l(a) + 4*s(a). Give t(p(y)).\nAnswer: 7*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, e: 1, j: 8, i: 4}. Give prob of picking 1 j, 2 i, and 1 e.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 7*c**2 + 2*c - 8. What is the remainder when 29 is divided by g(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50397065 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28064 is divided by 1478.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v + v**2 + (4*v**2 - 4*v**2 - 4*v**2)*(7 + 0 + 0 - 3 + 1 - 2 + 4 + 4 - 6 + 4 - 3 - 2 - 2 + 0 + 4 + (-1 + 3 - 1)*(1 - 4 + 1) + 1 + 1 + 0).\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23912350 divided by 22?\nAnswer: 1086925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*a + 82 - 111 = 0, -2*h + 34*a + 164 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/17)\/u**(-2\/3)*u**(-3)\/u**(-9\/5))**(-13) assuming u is positive.\nAnswer: u**(1378\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 - 5.49. Let v = l - 0.24. What is the biggest value in -1, -4\/3, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8, -d + 1 = -5*w + 9. Let s = d + 2. Find the third derivative of -l**2 + 2*l**s + 3*l**4 + 6*l**2 wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 52.0678 centimeters?\nAnswer: 520678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37665 and 1395.\nAnswer: 37665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 77546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5772086 divided by 3?\nAnswer: 5772086\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 52*w**2 - 13*w - 173. Is z(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553 and 17079247.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from uunuaufzznuauunnaa?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42143 and 758574?\nAnswer: 758574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 - 6*g**2 - 9*g**4)*(23*g + 227 - 227 - 75*g).\nAnswer: 468*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -8. Let i(a) be the first derivative of 0 - 2*a**2 + 6*a**2 - u - 3*a**2. Let s(d) = -2*d. Determine i(s(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31000 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.7. Let q be 4 + (-1 - (-3 + 2\/2)). Suppose x = -q*x - 24. Which is the third biggest value? (a) x (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*(sqrt(891) - ((sqrt(891) - 2*sqrt(891)) + 3)) + 2)*1 + -4 + 1)**2.\nAnswer: -3240*sqrt(11) + 89424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*f**2 + 6*c*f - 35*c*p + 12*c - 3*f**2 - 14*f*p - 16*f + p wrt c?\nAnswer: 2*c*f**2 + 6*f - 35*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -829 - -3420. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 988092*w**4 + 3130882 wrt w.\nAnswer: 3952368*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2715 is divided by 2649.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52107*u**3 + 5*u**2 + u + 55 wrt u?\nAnswer: 312642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.07455 to 2 decimal places.\nAnswer: -20.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/3)*s)*s)**(1\/47)*((s*s**(1\/8)*s*s)\/s)\/s*s**(-3))\/(((s*s**(2\/5))\/s)**(-33\/4))**(-1\/7) assuming s is positive.\nAnswer: s**(-91237\/39480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 78541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 152828, -1.\nAnswer: -4, -1, 2, 152828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 687817 and 180632?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76225?\nAnswer: 5, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:40 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 2:39 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*b + 8, 5*j + 19*b - 24*b - 20 = 0. Find m such that 1\/5 + 6\/5*m**j + 1\/5*m**4 + 4\/5*m + 4\/5*m**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from ccczczczzz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -6 - -7 - (25 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*k + 254*k - 69*k to the form v + r*k and give r.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 20. Suppose 2*s - 5 = o, -g*o + 4*o + 7 = s. Solve 2*x = 4*p + 7 + 3, -s*x + 5*p = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15283819 is divided by 101.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, 193798?\nAnswer: 193798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*a = 6*s - 196, -s + 5*a = -30. Suppose 3*q - s = -13. Suppose -483 = 6*x - q*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5412 (base 9) in base 8?\nAnswer: -7614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7704 times 0.5?\nAnswer: 3852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 22 + 3 = 5*t, 0 = -2*t - 4*r - 16. Let o = 6 + -2. Sort t, 1\/4, o, 2.\nAnswer: t, 1\/4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 3, -1, -9, -21?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 11:43 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 758508, 3034044, 6826606, 12136194?\n\"Answer: 758513*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.5. Let f = 2.9 + 0.1. Suppose -13*v + 1367 = 1302. What is the third biggest value in f, m, -0.3, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/4 - s**3\/3 + s**2\/2 + 10*s + 1. What are the prime factors of l(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2051.52923 rounded to the nearest 10?\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12*q**2 - 596*q + 4747. Calculate the remainder when y(8) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -41*h - 11 + 25*h + 15*h. What is t(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v + 84 = -g, -4*g - 112 = 4*v. Let r = v + 20. Let m = r - -19. What is the highest common divisor of 44 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 25*v - 20*v. Let o(w) = -3*w - 5. What is o(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(1008) - (sqrt(1008)*2 + sqrt(1008))) + 6*(-1*sqrt(1008) + sqrt(1008) - sqrt(1008)))\/(6*(sqrt(100) - -2*sqrt(100)*1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12 - -18) + -18 - (2 + -1 - 7)) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*(u**0\/u)\/u*u*u*(u**(-2))**17)\/((u\/u**(1\/2))**(-12)*((u\/(u*u**0\/u))\/u)**(1\/12)) assuming u is positive.\nAnswer: u**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/((-3)\/(-36)). Let a = r - -4. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-5 - -9) - 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 5.13.\nAnswer: -10.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x + 8*x - 11*x + 21*x to the form h + j*x and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -95*a. Let k(r) = -4*r**2. Give k(t(x)).\nAnswer: -36100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 49*t**2 + 49*t + 57. Give o(-48).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5909*f + 4618*f = -252648 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3969 = -3*o - 3989, -2*o - 60 = -6*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356.76871 milliseconds in days?\nAnswer: 0.000027277415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1993*l + 2036*l. What is the nearest to -0.2 in l, -3\/13, -4\/3, -4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (210\/45 - -6)\/(((-4)\/(-6))\/1) and 1934?\nAnswer: 15472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5058 - 3135. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.555 to one decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 8*y**2 + 4. Let i be c(-8). Suppose -r - 2 = -i. Suppose -r*z + 2 = -14. Solve z = t - 0*m - 3*m, -5*m = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/25)*j*j)**(-7) assuming j is positive.\nAnswer: j**(-511\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 35. Suppose -4*q = -4 - l. Let w be -1 + (-1)\/(-21) - q\/(-7). What is the fourth biggest value in -2, 0, w, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33\/5 + -121\/20. Find the common denominator of q and -65\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 17*t - 96. Let i be s(4). Solve 0 = 5*h - 4*b - 37, 11 - 3 = 4*h + i*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 10*s - 232\/5.\nAnswer: 2*(s - 4)*(s + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 s, and 1 l when three letters picked without replacement from szjrbll.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11755 - 114*o + 23511 + 3*o**2 - 11758 as a + w*o**2 + r*o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44495001, -44494998, -44494995, -44494992, -44494989, -44494986?\n\"Answer: 3*t - 44495004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 917 - 913. Solve f*i = 4*w - 12, 3*i + 19 = -2*w - 0*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-4.6\nAnswer: -6.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539786.1um to nanometers.\nAnswer: 539786100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465 is divided by 143.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/142130 and -67\/28426.\nAnswer: 142130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-468)\/351)\/((-4)\/9)*(-2)\/3*-62?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -14. Suppose -p - i + 5*i = m, -3*i = 4*p - 59. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120101013 (base 4) in base 15?\nAnswer: c4be2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 11*l**2 + 16*l + 42. Let u be h(-9). Let t be 1\/(-6) - (-10)\/u. What is c in -1\/5*c**2 + t - 1\/5*c**3 + 0*c = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140\/3 - -47. What is the closest to -0.1 in q, 2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 28 + 10. Let h(s) = s + 1. Let p be h(o). Solve p - 35 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 + 16*y - 36*y - 3*y**2 + 10*y. Let s(g) = -27*g**2. What is w(s(h))?\nAnswer: 729*h**4 + 270*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 715, -0.5, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4302192, 8604382, 12906572, 17208762, 21510952, 25813142?\nAnswer: 30115332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.003236 years?\nAnswer: 0.04003236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x + 49. Let r(f) = 3*f + 24. Let k(d) = -2*n(d) + 5*r(d). Let t be k(-6). Solve -t = -2*w - 3*c + 2, -2*w - 18 = -3*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445981989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let o(c) = 13*c**2 + 10*c + 7. Let a(u) = -o(u) - 6*r(u). Let v be 14*(-3)\/12*2. Give a(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -6.2.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/24 + 5*h**3\/6 + 3*h**2. Let d be k(5). Does 2 divide (-12)\/(-4) - (d + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5442 in 1, 42, -5?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -225*m**2 - 127*m wrt m.\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1296, -3463, -5630?\n\"Answer: -2167*v + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.6615.\nAnswer: -0.5615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.5 (b) 0.5798 (c) 0.1 (d) 0.07 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-4*c**2 + 3*c**2 + 3*c**2)*(c**2 - 2*c**2 + 62 - 66).\nAnswer: -2*c**4 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**5 + 1235*a**4 - 14015*a**3 + 45085*a**2 - 17070*a - 77400 = 0?\nAnswer: -258, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 86*z - 30. Calculate the lowest common multiple of 350 and c(1).\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 14*o**2 + 15*o - 15. Suppose 2*d - 32 = -6. Let l be f(d). What is the highest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*a + 2*a. Let q(j) be the second derivative of -1\/18*j**4 + 1\/3*j**2 + 1\/30*j**a - 1\/9*j**3 - j + 0. Let q(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**3 - 2*k**2 + 11*k - 9. Let j(a) = -10*a**3 + 3*a**2 - 16*a + 13. What is 5*j(b) + 7*s(b)?\nAnswer: -b**3 + b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 805773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2 - 35*c + 83.\nAnswer: -4*c - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(6650\/(-40)))\/((-4)\/(-30)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8217 and -12.\nAnswer: 98604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/7, -2\/61, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168398, 166178, 163958?\nAnswer: 161738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 246069 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/3 + 16*m\/3 + 5 = 0. What is m?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10191 = -6*n - 3129. Let i = n - 840. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634563905?\nAnswer: 5, 23, 5517947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3367*l - 6587. What is r(-2)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 - 3420232836382\nAnswer: -3420232836381.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 959 in 753, 5, -2, 10?\nAnswer: 753","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 50. Suppose -2*d + 0 + 10 = g*s, -3 = -3*d. Suppose -261 = -3*p + 3*b, -5*b = 2*p - s*b - 169. List the prime factors of p.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10869 and 10.\nAnswer: 108690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:55 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -22022020?\nAnswer: 22022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.334087462 to five decimal places.\nAnswer: 0.33409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/15 - 78*w**4 + 778*w**3\/5 - 1166*w**2\/15.\nAnswer: 2*w**2*(w - 583)*(w - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 17545752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -714?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3923389035 to the nearest integer?\nAnswer: 62637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 3 - (9 + -4 + -2 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (1 + -1))\/(5 - 9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 22 = 5*p, -2*b - 345 = -3*p - 357 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856, 6762, 22786, 53986, 105420, 182146, 289222, 431706?\nAnswer: 614656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1664 = 5*p + 4*z, -13*z + 316 = p - 8*z. What is the least common multiple of p and 210?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 32697\/13 + -2515. Which is the second biggest value? (a) -0.2 (b) y (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1)*-2*(-2)\/(-8). Let h be 3 - (5 + (r - 6)). Solve h*q - 6 = -b + 4*b, 6 = -3*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-22) - ((-36108)\/132)\/17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - 12*j**2 + 6*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 + -107. Solve 3*f = -0*c + 2*c + 1, c + f = p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5 + 2*a**4 + a**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**3 + 183*i**2 + 108*i - 63. What is j(-36)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -45*s**3 - 360*s**2 - 225*s + 2250. Suppose 16*f = 21*f + 20. Let m(r) = 5*r**3 + 40*r**2 + 25*r - 250. Let t(g) = f*z(g) - 35*m(g). Factor t(d).\nAnswer: 5*(d - 2)*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144522977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v. Let b(h) = h**2 + 3*h + 303. What is the units digit of b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 3*z - 12. Let d be c(-4). Suppose -4*r = -5*r + d. Let v = -4 + r. Solve -w = -3*s + w, 4*s - 4*w - v = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k - 45. Calculate q(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**3 - 4*i + i + 2*i**2 - 2*i**3. Suppose 5*y = -4*k + 23, -3*y = 2*y - 15. Is c(k) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 + 141 = 3*n. Suppose -n = -2*w - 5*i, 2*i = -w - 3*i + 61. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, 3, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(72) - (sqrt(7) + sqrt(7)*-1 + sqrt(7) + -3))**2.\nAnswer: -5*sqrt(7) + 499\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((-2 - 14) + 40)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52832.4553 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 747 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -1\/20 in decreasing order.\nAnswer: 1, -1\/20, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106437585 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86986 is divided by 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7582 = 9366*w - 9143*w for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3609996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**3 + 104*l**2 - 192*l = 0.\nAnswer: 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1989277*m = 1988361*m - 30228 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932 (base 12) to base 7.\nAnswer: 3614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 1.71. Let i = s + 0.118. What is i rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2670)\/(-25) - 66\/(-55) and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + 1881?\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10767 divided by -6.\nAnswer: 3589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1424 - 1254. What is the highest common factor of 646 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -539*n**2 - 1848*n - 1298. Calculate i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v. Let a be ((-9)\/(-3) - 3) + 2. Let u be 5\/4 + (-12)\/(-16). Let k(y) = u*y**2 - 5*y**2 - 2*y**a + 4*y**2. Calculate j(k(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41213?\nAnswer: 41213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/5*(-14 + 9). Let o be 1\/(-7) + (-44)\/(-14). Suppose -5*c - 2*r + o*r = -z, -2 = -2*c + 5*r. What is the greatest common divisor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10\/9 + 29\/18. Let w = -2 + 3. Suppose -9 = 3*h - 3*z, -3*z - w = -h - 6*z. Which is the smallest value? (a) 2 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 2*j**4 + 3*j**2. Let l(b) be the first derivative of 3*b**2\/2 + 3306. Determine u(l(k)).\nAnswer: 144*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -18. What is the derivative of 0*i + 1 + 15*i**4 + x*i wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -192\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1308 + 469 = 20*u + 661 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60373133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, h: 13}. What is prob of picking 2 c?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49334 = 343*g + 595*g - 113*g - 5609 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 61 = -j + 5*l, -3*j + 2*l + 157 = 0. Suppose -g - j = -4*g. Is g less than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 2*a + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3236 is divided by 1552.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30420*n - 5*o - 100 = -30415*n, -2*o = -4*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5.4. Let g = l - -1.1. Let f = -0.2 + g. Put f, -0.4, 2\/7 in descending order.\nAnswer: f, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10319 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1985 + -1637. What is the remainder when n is divided by 140?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q. Let c(a) = a + 310. Give c(w(l)).\nAnswer: -l**2 + 7*l + 310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2 + 3*v - 16. Let h(i) = -3*i + 7. Calculate -4*h(y) + 7*w(y).\nAnswer: -2*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*a**3 + 27434*a**2 - 29551084*a.\nAnswer: -54*a + 54868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149416 is divided by 49796.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, i: 1, w: 2}. Give prob of picking 1 v and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 84 = -105. Let k be (2\/6)\/(1 - p\/(-4)). Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2570*c + 30387 = -98772 - 120147 + 56556 for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*v - v + 44 = 0, -5*f + 5*v = -125. What is the remainder when f is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r**2 + r - 1. Let f(h) = -h**3 + 8*h**2 - 2*h + 4. Let t(n) = f(n) + 2*w(n). What is t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3726*g - 1561*g - 1911*g.\nAnswer: 254*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231926 is divided by 205321?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {q: 1, v: 2, b: 10, s: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqjgggqgqjggq. What is prob of picking 1 j and 1 q?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*a = 20, 2*a - 5*a = 4*n + 12. Suppose n = 33*j - 39*j - 24720000. Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82758347 and 11109?\nAnswer: 3703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 - 74 = -4*r - 2. Solve 0 = 39*l + 79 + r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32848, 65690, 98532, 131374, 164216?\nAnswer: 197058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, 1\/11, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16550680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/33 + -9\/11. Let w be (-6 + 0\/(-3))\/(375\/(-50)). Suppose -2*n - 6 = n. Which is the nearest to n? (a) -2\/13 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -325, -602, -869, -1126, -1373?\n\"Answer: 5*k**2 - 292*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d - 4992 = -372*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**5 + 35*a**4\/2 - 335*a**3\/3 + 220*a**2 - 180*a + 378. Solve g(w) = 0 for w.\nAnswer: -18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254865 and 9750?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(2 + n - 2) - 11*n + 4*n - n + 2*n - 2 + 2.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -22. Let f = 14 + u. Which is the third biggest value? (a) f (b) -2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 14) to base 15.\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -17303 = -17302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531101 (base 6) to base 10.\nAnswer: 43021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26ed24 (base 15) to base 2.\nAnswer: 111001001001101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2378*y + 4805*y - 2404*y.\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/22 + 679\/1298. Let x = 138\/295 + y. Factor -x*a**3 + 0*a + 0 - 4\/5*a**2 + 2\/5*a**4.\nAnswer: 2*a**2*(a - 2)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004989316 rounded to 5 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2 + 2*z + 1. Let l(d) = d - 8. Let h be l(7). Let f be r(h). Solve -f*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 26 + 22. Let w = x - -41. Suppose -2*a - 4*o = 2*a - 228, -o - w = -a. Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*l + 1 = 0, -m + 4 = -0*m - 3*l. Let v be 5 + (m - 1)\/(-6). Let g(f) = 2*f**2 + 3*f + 7. Let w(d) = d**2 + 2*d + 4. Give v*w(s) - 3*g(s).\nAnswer: -s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/12 - 17*h**2. Let p(n) = n. Calculate p(f(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 31239, -374, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1530 - -1530.5. Which is the second biggest value? (a) -90\/11 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 6*i**2. Suppose 0*n + 3*q = 2*n + 24, -4*n - 20 = q. Let l be h(n). Solve -4*b - 8 = -b - r, 4*b - r + 11 = l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/125 - -139\/1750. Let q(m) be the second derivative of 2\/21*m**3 + 0*m**2 - 1\/14*m**5 - 4*m + 0 + d*m**4. Factor q(r).\nAnswer: -2*r*(r - 1)*(5*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438104 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 76*v + 41. Let m(c) = -c**2 + 42*c - 21. Let a(k) = 7*m(k) + 4*o(k). What is a(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.035 + -0.955. What is l rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g - 56 = 4*v, 5*g + 2*v - 192 = 0. Let i = g + -34. Let b(d) = 20*d + 15. What are the prime factors of b(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.253 - -0.252841. What is s rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4605*a = 4600*a - 20, 0 = 2*a + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/480*-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 83. Let h(z) = 14*z**2. Give q(h(j)).\nAnswer: 588*j**4 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*-1 - sqrt(833))*-1 + -5)**2.\nAnswer: -140*sqrt(17) + 3357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*r**5 - 197*r - 200*r + 399*r - 143 wrt r?\nAnswer: -1720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/140)\/(4\/(-90))*94\/47?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*a - 12. Solve -9 = -3*i + a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.5, -14\/3, 1, -8759 in descending order.\nAnswer: 1, 0.5, -2\/3, -14\/3, -8759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14425*z - 4630*z + 824*z.\nAnswer: -18231*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 43?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -74.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - (37 + -12) - 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k + 5. Determine m(-7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -3.9. Let j = 3.9 + c. Let p = j - 0.9. Is p greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12362601?\nAnswer: 3, 83, 131, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a factor of 18601940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = 4*t, -t - 6 = -3*q + 2*t. Suppose -5*l = -3*w + 36, -w - 7 = 4*l - q. Let b = 5 + -2. Solve -b = -y - w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*l - s, 0 = 4*l + 2*s + 44 - 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 454704487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2*u + 31*t - 52, 10*t + 92 = 3*t + 106 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*q + 34, i - 6*i + 5*q = -125. Let s = -14 + i. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 39 = 18. Calculate the remainder when r is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -16*6*(-8)\/(-64).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b - 3*b)*((0 - 4 + 1)*(2*b + b - 5*b) + 1 + 7*b - 1).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198 - 198 - 12*g + (8*g - g + 0*g)*(0 - 5 + 3) + 0 - 2*g + 0 + (-g + 5*g - 3*g)*(2 - 3 - 1) + 0 + 0 - g + 1 + 14*g - 1 to p*g + c and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s**2 + 4*s**2 + 0*s**2)*(5 - 16 + 2*s**2 + 7) to u*s**3 + v*s + n + h*s**2 + l*s**4 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**2 - b - 2. Let u be w(2). Let y = 63 - u. Let f = 491\/5 - y. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 0 + 1\/2*q**5 - 3*q - 15\/2*q**2 - 1\/6*q**6 + 5\/3*q**4 - 5\/3*q**3. Solve p(y) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpfpf. Give prob of picking 2 f and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 296*o**2 - 59*o + 19. Is k(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**2*x**3 - 3*r**2*x**2 + 1260*r*x**2 + 3*r - 2836*x**6 - x**3 wrt x.\nAnswer: 12*r**2 - 340320*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94497 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5956 divide 410517300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26700 and 2484487.\nAnswer: 2511187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 4. Let z(a) = -2*a**3 + 17*a**2 - 9*a - 54. What is the remainder when z(7) is divided by x(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 204\/7 in -6, -5, -3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6*b - 27. Let x(v) = -v**3 - 7*v**2 + 5. Let g be x(-7). Solve -g*k + 16 = -b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83\/21 - -11\/3. What is the closest to 1\/5 in -0.5, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2152 - 2*v - 2588 - 4138 - 2901.\nAnswer: -2*v - 11779","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 20.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7199539607 to the nearest integer?\nAnswer: 84850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*p**2*x + 5*p*x + 102*x wrt p?\nAnswer: -106*p*x + 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*z - 6*z = -1058, -z + 2 = 0. Is (24*1)\/((-48)\/w) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + (3 - 0))\/(-1). Suppose s = 5*u + 13, -5*s + 3*u + 169 = v*u. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, a: 3, z: 7}. What is prob of sequence za?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 691, 1380, 2073, 2770, 3471?\n\"Answer: 2*p**2 + 683*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5*g)\/g**(-4))**(10\/11))**(-37) assuming g is positive.\nAnswer: g**(-3700\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837883138 a multiple of 533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, -0.09, 8, 3, -0.17 in decreasing order.\nAnswer: 8, 3, 1.4, -0.09, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2332784 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60500351*r**3 + 11014*r + 225 wrt r.\nAnswer: -363002106*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*c + 111, -127*c + 124*c + 2*n = -77. Solve 10*g - c*g + 26 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21718*r + 21736*r = -90. Let t(s) = 11*s + 9. Let w(y) = 6*y + 5. What is r*w(u) + 3*t(u)?\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3.5 (b) -48 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 9*i + 553 + 539 - 1063. Let c be l(6). Solve 2*v - 5 = -c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3816623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003366426 rounded to 4 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 349222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**3 - 11*r**2 - 3*r - 5. Let u(q) = 14*q**3 + 32*q**2 + 9*q + 15. Let w(y) = 11*n(y) + 4*u(y). What is the tens digit of w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 + -127. Suppose -3*r + 5*r - 620 = 5*x, r + 2*x - 292 = y. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/1 + 163)\/1. What is the highest common factor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (3 - -18) + 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/8 - z**3\/3 + z**2 - 4*z - 2. Let h(a) be the second derivative of p(a). Let m(d) = 9*d. Give h(m(c)).\nAnswer: -135*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 6*r**2 + 4*r - 1. Let s = 0 - -25. Suppose -2*t - s = 3*q, -5*q - 16 = 2*t + 23. Is 10 a factor of i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13770, -28510, -43250, -57990, -72730?\n\"Answer: -14740*m + 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - f = -f - 5*f - 9, 0 = -5*b + 3*b - 3*b + 2*f + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -594517*k**2 + k**3 + 594515*k**2 - 8 + 172*k + 3 as b*k**2 + x*k + i*k**3 + r and give x.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106073 divided by 1.\nAnswer: 106073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 3*w + 45399 - 45399.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 2*x**2 + 7*x**2 - 5 - 2*x**4 + 3*x - x**2 - 2*x**3 to the form z*x**4 + k*x + m*x**2 + f*x**3 + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177781011.\nAnswer: 3, 7151, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2722656 or -2722654?\nAnswer: -2722654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22\/1491 - 59645\/101388. What is the common denominator of k and 41\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhoozhh. What is prob of sequence hoho?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9682490?\nAnswer: -1\/1936498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -11*m - 3. Let d be 5*4*m\/(-5). Calculate the remainder when (9 + -18)*d\/(-6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 10*h**2 + 17*h + 11. Give q(-11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128753?\nAnswer: 199, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18 = s. Calculate the least common multiple of s and 9 + -12 - (-1 - 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 23*p**2 + p**4 - 20*p**2 + 0 - p as i*p**4 + z*p**2 + f*p**3 + b*p + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53708 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: Suppose 20*v - 22*v + 4 = 0. Solve 3*j = v*k + 4 - 11, j = k - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -26*h - 43. Let u be i(-7). What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, o: 1, x: 6}. What is prob of sequence jxx?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62680?\nAnswer: 2, 5, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294 or 679?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.011 - -0.511. What is the second biggest value in 0.9, 0.4, 3\/5, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 21. Let n(c) = -3*c - 6 + c + q*c**2 - 3*c - c**3. Let j be n(7). Solve x - 5*i = 3, 5*i + 20 = 4*x + j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316094.729892 + -0.3\nAnswer: 316094.429892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*t - 158, 2*a - t + 5*t - 64 = 0. Suppose a = 7*i + 14. Suppose -3*y = i*y - 413. List the prime factors of y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/7 + 2*y**2\/7 + 4*y\/7 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2092821*x - 4185654*x + 2092835*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-51)\/9*(-45)\/(-24) and 53\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/11800 and -17\/1180.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 6, 17, 5, 38, 0 in descending order.\nAnswer: 38, 17, 7, 6, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 30. Solve 5 - 16 = -4*j + 5*u, q = 5*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9. Suppose o = 4*j - 5*j + 1. Calculate the remainder when 1 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/((-4235)\/3)*-79*1. Let n = k + -1\/121. Let h be 1 + (-126)\/(-16) - 11\/(-88). Do n and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -853.\nAnswer: -22178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00707113992 rounded to 6 dps?\nAnswer: -0.007071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -177? (a) 4\/5 (b) 2 (c) 7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + 3*q + 11. Let c(t) = -9*t**2 - 7*t - 22. Determine -3*c(p) - 7*y(p).\nAnswer: -p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 9. Let n be s(-4). Let q = -2 + 1. Suppose -w + 3 = -4*w. Which is the closest to q? (a) w (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.353, -15\/8, -0.1, 3, 1\/3, 0 in descending order.\nAnswer: 3, 0.353, 1\/3, 0, -0.1, -15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 18, 11, 4, -3?\n\"Answer: -7*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 + (-75)\/(-27). Suppose -24 = -2*o - o + d*h, -2*o - 2*h = -16. Suppose -4*p + o*p - 224 = 0. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*h**2*n**2 + h**2*r - 4916*h*n**3*r - 34115*h*n**3 - 5*n*r wrt r.\nAnswer: h**2 - 4916*h*n**3 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -917769 * -1.332\nAnswer: 1222468.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -227 - -4091\/18. Find the common denominator of 32\/21 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:04 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(6\/11)*j*j**(-3)\/j)\/(j*j**(2\/9)*j*j**(-2\/9))*((j*j*j\/(j*j\/j**(2\/3))*j)**(-3\/5))**(-4\/5) assuming j is positive.\nAnswer: j**(-598\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280800 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 7. Let z be g(6). Let s be (1 + (1 - z))*1. Suppose -5*r + 3*q = 0, 0 = -3*r + 2*q + s*q. What is the third smallest value in 1, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let v be 1 - ((-9)\/4 - -3). Let z(j) be the second derivative of 0*j**2 + 0 + 0*j**3 - j + v*j**4. Give z(s(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 7*w - 6. Let n be j(-5). Suppose 6*k = n*k + 86. Let y = -8 + k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 19*l**2 - 20*l - 24. Let c be o(-18). Let x = 10 - c. What is the remainder when 31 is divided by x\/(-10) + (-114)\/(-5) + -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7005.379ug?\nAnswer: 0.007005379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -749 and 4.\nAnswer: -2996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*i + 2*i - i)*(-1 + 12 + 8) + (-3 + 6 - 2)*(0 + 0 + 2*i))*(186 + 202*i - 186)*(-4 - 2*i + 6 + 0*i) as g + f*i**2 + k*i + t*i**3 and give t.\nAnswer: -8484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 260684 - 77515. Let n = k - -3291831. Round n to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 38*d + 14. Suppose 4*i + 11*w - 52 = 7*w, -3*i + 5*w + 15 = 0. Suppose -r = -4*q - 13, -r + 5*q + 2 = -i. What is the tens digit of c(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 63642.\nAnswer: -63642.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -52*v + v**2 + 4*v**2 + 45*v + 7. Let m(p) = p**2 - p + 1. Give i(s) - 6*m(s).\nAnswer: -s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/30 and -82\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4308.726 seconds to microseconds.\nAnswer: 4308726000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76930785 a multiple of 471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0336 + 0.009. Round i to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16675 * 1.25\nAnswer: -20843.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -31. Suppose 26 = 37*k + 63. Let j be ((1056\/(-9))\/z)\/(k\/9). What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-3 + 2 - -58. Let h = -323 - -348. Suppose -h = -t - 5*k, -t - 11 + 64 = -2*k. Calculate the greatest common divisor of x and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 f when four letters picked without replacement from fffxfxf.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5 (c) 9 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9880 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3918 + -68?\nAnswer: -3986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 0*i - 5*i - 9*i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 + 19*t**3 + 17*t**3 - 8*t**3.\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97 - 695*s**3 + 0*s**2 - 12*s**2 + 9*s**2 + 0*s**2 - s**2 wrt s?\nAnswer: -4170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19439 and -4.\nAnswer: -19443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19b3c (base 13) to base 16\nAnswer: c444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*h - 3*h + 21 = 0, -5*h + 23 = -v. Suppose r = -3*r + 16, v = 2*n - 3*r. Suppose n + 8 = s. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2 + 3 - 6 - 2*y. Let f be (3\/(-2))\/(1\/(-2)). Let a(u) = -6. Let p(r) = -r - 12. Let c(x) = -5*a(x) + 3*p(x). Determine f*c(h) - 4*b(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 5*a + 10, -j - 1 = -4*a + 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -118623, -118628, -118635, -118644, -118655?\n\"Answer: -i**2 - 2*i - 118620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 49. Is (1 - (2 - l)) + 16 + -2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(77) + -2*(1*sqrt(77) + sqrt(77)))\/(sqrt(99)*2))**2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 4*u - 3. Suppose -23 + 17 = l. What is h(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1331\/5, -167?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.34 + 8.34. Which is the second smallest value? (a) -0.3 (b) j (c) -2\/13 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3743 is divided by 1201.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/29)\/d**(-2\/7))\/((d\/(d*((d\/((d\/(d\/(d*d**(6\/7))))\/d))\/d*d*d)\/d*d))\/d**(-14)))**(2\/39) assuming d is positive.\nAnswer: d**(-5132\/7917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {g: 1, o: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**2\/2 + 45. Let u(s) = 18*s**2. Calculate t(u(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 14. Let i = d + -12. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, 3663, -5 in decreasing order.\nAnswer: 3663, 222, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 997 - 463. Let t = p + 256. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + 2. Let l = 0.6 - g. Let p = -3.01 + -1.99. What is the second biggest value in p, l, 3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2. Let w(f) = 8*f + 104. What is j(w(n))?\nAnswer: 128*n**2 + 3328*n + 21632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 1. Let o(h) = -h**2 + 6*h - 1. Let q be o(6). Let k = 18 - 12. What is the lowest common multiple of a(q) and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 20 = 4*d, 2*m - 4*d = -d + 20. Suppose -m*v = 598 - 2870. Let n = v + 135. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023556 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 13*l - 45 = 2*l. Solve 43*h = 42*h + l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 38*p**2 + 191*p - 20. Let o be n(-32). Solve o*a = 21*a + 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 535 - 528. Let q(w) be the first derivative of -4\/3*w**3 + 0*w**2 - 5*w + f. Differentiate q(z) wrt z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8346164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -626380 to the nearest 1000.\nAnswer: -626000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d + 500. Let z = d + -209\/2. Let b = z + 17\/4. What is the nearest to -2\/5 in -2, 0.02, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 12) in base 8?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*q + 13*q - 818 + 817 + (-2*q - 1 + 1)*(1 - 2 - 1) + 5*q - 31 + 31.\nAnswer: -18*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*m - 12, 0 = -0*l - 5*l + 4*m - 12. Suppose l + 11 = p. Suppose -p = d + 5*i, 2 = -5*d + 3*i + 59. What is the least common multiple of d and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:43 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/156)\/2*1*33\/(-11).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/20 - 18\/45. Find the third derivative of -22*b**3 - 4*b**3 - 4425*b**s + 4305*b**2 wrt b.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(-6*h - 5 + 5) + h + 3*h - 2*h + 15*h + 22*h - 22*h to the form t*h + f and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, 13, 70, 183, 370, 649, 1038?\n\"Answer: 3*q**3 + q**2 - 5*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54869976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*p + 23 = -0*p, 5*y + 5*p - 5 = 0. Calculate the greatest common factor of y and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*h**2 - 69180*h - 6588.\nAnswer: -3*(h + 1098)*(21*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1542 and -3.1?\nAnswer: 4780.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmyxocj. Give prob of sequence mmcj.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9571979 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-3)\/(-12)*88\/55?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 63*g**2 + 64*g + 279. Is 7 a factor of x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11726068 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133198\/9 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*g - 28*g - 25*g**2 + (2*g - 4*g + 0*g)*(g + 2 - 2))*(-3*g + g + g) + (-g**2 + 2*g - 2*g)*(3*g - g + 0*g).\nAnswer: 25*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*q + 69*q + 95*q.\nAnswer: 106*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23000320 (base 4) to base 12.\nAnswer: 22134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/14 - 2*v**3 + 22*v**2\/7 - 215. Determine q, given that h(q) = 0.\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53660 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Suppose 0 = z + 2*z - a - 21, 0 = -a - 3. What is the smallest common multiple of z and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35281245 * -1.\nAnswer: 35281245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 11:56 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -38?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*c + 41, -49*c + 16 = -19*c - 29*c - 4*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 1301531?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:24 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -224 + -b?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)*(-3 - -6). Suppose -3*s + 21 = c*m, 2*s + 0 = 6. Let f = 83 - m. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13281000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-34969)\/(-28560) - (-12)\/(-9) and -59\/400.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 476, -1\/3, -0.08, 4\/9, 2, -44?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5))**15*(h*h**6)**(-40))**(-2\/47) assuming h is positive.\nAnswer: h**(710\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31347?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*q - 158*q + 4*q**2 + 466*q - 145*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 7597.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 3 - a + a - a + 3*a. Calculate the smallest common multiple of 8 and y(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 28409937.\nAnswer: 28409937.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 1 + v + v**2 + 5 - 3. Let n be h(3). Suppose -4*u - n = -70. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-2104))\/(1 + 0). Let a = -5024\/2367 - m. Find the common denominator of a and -59\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289376135 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 2*a + 1. Let f be g(2). Let y be 4 + -6 - -6 - 3. What is the closest to 0.05 in -2\/7, y, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 8 = i + p, i = 5*p + 17. What is the least common multiple of 22 and (i\/(-42))\/(2\/(-14))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + (6 - (-2 - -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -192?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 12, 0 = 4*l - 6*d + 2*d + 12. Suppose -3*h + 12 = 0, l = -5*w - 3*h + 10 - 68. Sort w, 2\/3, -4 in ascending order.\nAnswer: w, -4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163998 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: Are 1\/87319 and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 374 - 7108\/19. Let z = -2028766\/21 - -96608. Which is the closest to -2? (a) z (b) y (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277297940*w**2 - 6*w + 1428500 wrt w.\nAnswer: -554595880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 735442708 a multiple of 2366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2 - 1 + 5 - 4 + a - a**3. Let i = 2 + -4. What is the units digit of s(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agpmt. What is prob of picking 1 g, 1 t, and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/2420 - 103\/77\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (147\/28 - 6)\/((-2)\/8). Differentiate 136 + 42 + 239*k**3 + 15*k**g - 38*k**3 with respect to k.\nAnswer: 648*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13 + -19 - 1206\/(-232) and 47\/40?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) 6 (c) -0.041 (d) 3\/7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -602 + 4332?\nAnswer: 3730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2990 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 + -80. Suppose -28*g + 32*g - b = 0. Let a = 1 + 3. Calculate the remainder when g is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 13*x - 2. Let b be i(-1). Let q be -1*-2*b\/(-6). Put q, 3, 4 in ascending order.\nAnswer: 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 33 - 13. Suppose 0 = -4*q - q + z. Let i = 3 + -1. Which is the closest to q? (a) 1 (b) -1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000149472214 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*q**2*t**6 + q**2*t**2 - 3*q**2 + 6*q*t**2 wrt t?\nAnswer: 13680*q**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 443943 + 887873 - 443930 - 4*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 - 5*q - 3. Let d = 0 + -2. Let s be (1\/(-3) - d)*3. Let y(c) = -c - 1. Give s*y(a) - m(a).\nAnswer: -3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -2\/3, 0.7, 34?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87896 - -12656933\/144. What is the common denominator of 97\/72 and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1474*s + 3363 = -1566*s - 593 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u - 6*u + 5*u + 8*u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + -18 - 21.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -168546 divided by -24078\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 22. Let h be y(-12). Suppose 0 = h*g - 719 + 109. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 133, 252, 411, 610?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/9 - 3068*n**3\/9 - 275710*n**2 + 43062900*n + 90041247375.\nAnswer: -(n - 487)*(n + 1185)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2)*2\/(-2). Solve 0 = -2*k - c + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -147549, -295205, -442951, -590781, -738689?\n\"Answer: p**3 - 51*p**2 - 147510*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149128649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -55 - (62 - -12)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 2)*-1*1. Let r = g + 11. Find the second derivative of -c**4 - 2*c**4 - 2*c - c**r wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/3 + 11*o**4\/3 + 8*o**3.\nAnswer: o**3*(o + 3)*(o + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67996 = -4692819*k + 4693583*k for k.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*c = 290*c - 7668. What is the remainder when c is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12507.020074 + 12507. Let v = 0.02 + r. Round v to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 405, 760, 1219?\nAnswer: 1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53616*j**2*t + 436750*j**2 + 379*j*t - 32*j with respect to t.\nAnswer: -53616*j**2 + 379*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 13*r**2 + 45*r - 97. Let m be y(8). Which is smaller: 43 or m?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 7, k: 5}. Give prob of picking 1 h and 1 k.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 279, 558, 837, 1116?\n\"Answer: 279*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65645927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + 0 - (-42 + 18 - 61)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 + 5*i + 5. Let b(j) = -6*j**2 + 7*j + 7. Let d(f) = -5*b(f) + 7*p(f). Let t(n) = 3*n**2 + 6. Give d(t(v)).\nAnswer: 18*v**4 + 72*v**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-5*q**2 + 6*q**2 + 0*q**2) + (-4 + 0 + 3)*(0*q**2 - q**2 + 2*q**2 + (-2 + 4 - 1)*(3*q**2 - 2*q**2 + q**2)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine halves of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3\/4 - 156*j**2 + 4239*j\/4 - 1809\/2 = 0 for j.\nAnswer: 1, 6, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/((-1)\/(-6021)). Suppose 2177 = 2*w + 3*r, 0 = 4*w - 3*r - u - 2302. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 37, 5, -5, 23, -6, 4 in increasing order.\nAnswer: -6, -5, 4, 5, 19, 23, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -411 + 5?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025137 rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z - 123. Let x = -529 + 501. What is the smallest common multiple of 20 and d(x)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6971167 + 4781167. What is r rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 21*n - 17*n + 8*n**2 in the form c + w*n + a*n**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/5*(20*11\/(-44))\/1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9274, 9259, 9242, 9223, 9202?\nAnswer: 9179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 5*y**2 + 0*y + 3*y + 5 + 3*y**3 - 2*y**2. Let a(v) = -7*v**3 + 14*v**2 - 9*v - 11. Let k(z) = -2*a(z) - 5*l(z). Is k(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2, 144 in increasing order.\nAnswer: -4, -2, 1, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233434 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 588 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(245) + -1 + -2 + 2 + (1*sqrt(5) + 1 - (sqrt(80) + -2)))**2.\nAnswer: 56*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.05, -0.3, -4 in decreasing order.\nAnswer: 0.05, -0.3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217 divided by -31.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 32 = 4*g, -g = 3*g - 4*p - 36. Let j be (-2)\/(g\/((-10)\/4)). Let m = j + 0. Solve -7 - m = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**5 + 4650*x**4 - 1099565*x**3 + 8574600*x**2 - 17001680*x = 0.\nAnswer: 0, 4, 461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 2*k**2 - k + 2. Suppose 6 = -5*r + 4*d, 0*r - 2*r + 1 = -5*d. Let l(c) = c**3 + c**2 - 1. Determine r*l(y) - f(y).\nAnswer: -4*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-9)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpop when four letters picked without replacement from pojojopjjoojjoojoo.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 70*r = -326, 498*r - 503*r + 1 = 4*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 109*t + 3503. Determine u(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 3:03 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2079 and 0.476.\nAnswer: 989.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230000 + 2?\nAnswer: 230002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 44. Suppose 16*u = n*u - 900. Suppose 0*p = -5*p + u. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455916897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -36 (b) 11 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeexepieebzpeixzpbe. What is prob of picking 1 x, 1 z, and 1 i?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.626 and 520.3?\nAnswer: 1886.6078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t - 16124. Let m(g) = 15*g - 16125. Calculate 3*m(u) - 4*w(u).\nAnswer: u + 16121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/15 (b) 0.1 (c) -1\/2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v = -344. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16930 (base 11) to base 8\nAnswer: 56305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1165\/803 + 47\/146. Let w = t - 21\/11. Find the common denominator of ((-3)\/(-30))\/((-12)\/165) and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (6 - 3) - (4 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwi when three letters picked without replacement from uuwwiwiwiwiiu?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252205341.\nAnswer: 3, 401, 209647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((0 - 3) + 0 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 499. Let q(o) be the third derivative of o**5\/6 + 749*o**3\/3 - 10*o**2. Let c(s) = -7*j(s) - 2*q(s). Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22582537 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -5 (c) 2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40445*j**2*t**3 + 5070*j**2 - j + 4 wrt t?\nAnswer: -121335*j**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -482 and 173221?\nAnswer: 173703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3123899370?\nAnswer: 2, 3, 5, 79, 439367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 3*m + m**3 + 1 - 3*m**2 + 2*m**4 + 0 in the form q*m**3 + k*m**2 + d + t*m + r*m**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 1, t: 1, n: 3, x: 1}. Give prob of picking 2 n, 1 r, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, 0.4, 12 in increasing order.\nAnswer: -15, -4, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6968767513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**8\/112 - 11*c**7\/70 + 7*c**6\/40 + 31*c**5\/20 - c**4 - 10*c**3 + 8*c**2 + 10. Determine u so that t(u) = 0.\nAnswer: -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -18*z**2 - 198*z - 232. Give u(-6).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -34*s + 9*s + 23*s. Let d(y) = -158*y**2. Determine d(l(x)).\nAnswer: -632*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 10) in base 14?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let l = f + 1. Let z = l - 4. Is 2\/7 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.131024 to 3 decimal places.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/584 and 119\/10.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + q + 6 + 1 = 0, -5*q + 10 = 0. Let a = -2 + 3. Let x = 0.3 - 0.1. What is the third smallest value in x, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 568.06 less than -16112?\nAnswer: -16680.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2435.30432 rounded to the nearest 10?\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46660965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 7*u**2 + 9*u + 2. Let i be z(8). Suppose 0 = -4*w - 16, -5*v + 2*v = 4*w - 26. Let d = v - i. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1.4932, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/(1 + (-5)\/7). Suppose -72 + x = i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - w = w - 32, 4*l - w = 44. Let u(g) = 17*g - 17. Is u(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -38*p**2 - 3*p - 3. Let i(x) = -25*x**2 - 2*x - 2. Let u = 6622 + -6627. Determine u*z(s) + 8*i(s).\nAnswer: -10*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3 + sqrt(325))**2 + -5 + -1 + -2 + sqrt(13) + sqrt(13))*-1.\nAnswer: -318 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/700 - 5\/2.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 20*y = -335. Let d = y - 76. Let j = 218 + d. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 8, g: 1, w: 8}. Give prob of picking 2 y.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.434 - -0.166. Let p = 0.164 - 17.054. Let a = p + t. Round a to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1210068 and 3.\nAnswer: 3630204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530, 4245, 14314, 33911, 66210?\nAnswer: 114385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 2*l**2 - 2*l + 1. Let q be g(-2). Which is smaller: q or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 18. Let l = 2 - u. What is the highest common divisor of l and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.752306595 to 1 decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -58. Suppose -5*c = -r - 3. What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 3. Let q be m(3). Let v be -1*(34 - q\/(-3)). Let o = -20 - v. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -29*z**8\/336 + 15*z**4\/8 - 25*z**2. What is the second derivative of a(i) wrt i?\nAnswer: -580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 11*k + 80 = 0. Let h be 6\/32*4 + 2644\/k. Suppose 3*v = -2*q + 101 + 437, v - h = -4*q. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7981*y**4 - 892*y**3 + 3*y**2 + 603447685*y.\nAnswer: 95772*y**2 - 5352*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (19 + -15 - -5) + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -50, -2, 3 in descending order.\nAnswer: 3, -2, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1002, -1996, -2990, -3984?\n\"Answer: -994*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9884016 divided by -144\nAnswer: 68639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 + 141 + 236 + (3 + 3 - 5)*(4 - 5 - 1))*((6 - 3 - 1)*(y + 4*y - 7*y) + 6 - 3 - 1 + y).\nAnswer: -867*y + 578","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.05, -3, 3\/5, -36387?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9066?\nAnswer: 2, 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 20*g - 13. Let k(j) = -10*j + 6. What is 3*b(i) + 7*k(i)?\nAnswer: -10*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**2\/2 + 4*r - 91. Let p(g) = -1. Give h(l) + 3*p(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -34*u**3 - 10*u**2 + 27*u - 26. Give b(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 5. Suppose -2*x = -4*b + 30, -b = -a*b + 5*x + 50. What is the units digit of (-1)\/b - 41\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (10 + 53) - (11 + 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 151852227 and -1379.\nAnswer: 151850848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12882 by 2.\nAnswer: 6441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -192, -153, -78, 45?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 12*q - 9. Let t be m(-5). Let r = 203\/1430 - 24\/65. Is r at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66455 by -5.\nAnswer: -13291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 5*c - 3*c)*(-c - 5*c**2 + 3*c**2 - 2*c).\nAnswer: -8*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(448)*-3 + -5))**2 + ((4*(sqrt(448) + -2))**2 - (-4 + (sqrt(448) + 0)**2)).\nAnswer: 448*sqrt(7) + 23016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37\/4 + (-6)\/(-8). Let t(p) = x - 1 + 0 - p. What is the lowest common multiple of 16 and t(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/7 - 1345186*p**3\/7 + 43082912538*p**2 - 3219313162720970*p - 51520040616289952.\nAnswer: 2*(p - 224203)**3*(p + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/((-1)\/(15\/(-9)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*y - 38*y + 172*y + 2*y - 3 + 3 + (-1 - 1 + 4)*(-2*y + 5*y - 2*y) - 2*y + 1 - 1.\nAnswer: 172*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 21 = 4*i - 17, -2 = -2*d + 2*i. Let n(q) = 0*q**2 + q**3 + q**2 - 19837981 - 16362019. Let x be n(d). What is x rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-197 + 17)\/9 - -62. Solve -z*q = 23*q - 65 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/51 + -1)\/(6\/(-4))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 79, 81?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -271.\nAnswer: -1\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199492042?\nAnswer: 2, 17, 1129, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75474.85g?\nAnswer: 75474850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -4 (b) -3 (c) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 57*a - 64*a + 36*a - 24*a.\nAnswer: -115*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + -1*sqrt(17)))**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 98?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*y**2 - 2*y**2 + 9*y + 13*y + 50*y**2 - 12*y**2 wrt y.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14082369*a**5*g + 3*a**2 + 8*a*g + 3*a - 19*g + 244 wrt a.\nAnswer: -844942140*a**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-42)*12*(-6)\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 45*w + 272. Determine t(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98461 + -262461. Round x to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/11 - 739*a**2\/11 + 368*a\/11 + 369\/11 = 0. Calculate a.\nAnswer: -1\/2, 1, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5281847 to the power of 1\/2, to the nearest integer?\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33034 and 2490?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 4. What is f(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16245433.\nAnswer: 16245433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 125*(4\/8 + 8\/16). Let c(m) = m**3 - 5*m**2 - m - 5. Let l be c(6). What is the greatest common divisor of l and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77440, -153954, -230468, -306982?\nAnswer: -383496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1936 + 6831. What are the prime factors of k?\nAnswer: 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8836366 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**6 - 71*n**3 + 151*n**2?\nAnswer: -360*n**3 - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37332 and 1.5?\nAnswer: 37330.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00530727 to five decimal places.\nAnswer: -0.00531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481 and 172523.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:29 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 1\/1364 (c) -0.02 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 5036886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12)*2*(-8)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79660 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 169*h**2 + 127*h + 6868. Calculate t(168).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27454134 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123*d**2*r**2 + 11*d**2*r - 3*d**2 - 11*d*r + 2*d - 6*r**2 wrt r?\nAnswer: -246*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1609502537 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10377 by -3.\nAnswer: 3459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72074370129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1842 to the nearest ten.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 18. What is the third derivative of 20*c**4 - 2*c**3 + 12*c**2 + 2*c**3 - i*c**4 wrt c?\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 - -379\/3. Sort -1\/5, p, 15 in decreasing order.\nAnswer: 15, p, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(-4)\/3 + 2. Let i = 395 + -185. Let l = 300 - i. Calculate the highest common divisor of y and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -1268?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*w + 35*w + 4 + (0 + 1 + 1)*(-22*w + 60*w + 79*w).\nAnswer: 264*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -29*q - 80 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 0*p + 50 = -a - 2*p, 0 = -530*p + 532*p + 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c**2*i**2 + 44*c**2*i + c*i**2 - 5*c - 56*i**2 wrt c?\nAnswer: -26*i**2 + 88*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4165 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9173 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 21\/10*w**2 + 9\/5*w**3 - 6\/5*w - 5. Factor c(j).\nAnswer: 3*(j + 1)*(9*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - 67134*v**2 - 2 + 67503*v**2 - 2*v to the form z*v + h + m*v**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 + 5*g**2 - 5*g + 5. Suppose 0 = -2*v - 2*z - 12, 2*v + 0*v + 15 = -5*z. Let q(c) = -10*c**3 - 16*c**2 + 16*c - 16. Determine v*q(s) - 16*k(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:57 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351610 and 18298.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107060 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2. Let a be j(1). Suppose -2*v = -5*t - 5, 4*v + 4*t = 8*v - 28. Let c be a*-5*v\/(-25). Calculate the highest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - 540. Let c = -643 - m. Solve 2*b = 4*x, 3 = c*b - 5*x + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavwmmmyaay. Give prob of picking 2 y and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4462452 divided by 3.\nAnswer: 1487484","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v**2)*(-2*v**2 + 2*v**2 + v**2) + (3*v - 6*v + 2*v)*(3*v**3 + 0*v**3 + 2*v**3).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 10, h: 3}. Give prob of sequence hhx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67541632 by -16885408.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/69? (a) 3\/2 (b) -0.02 (c) -99 (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 8*h**2 - 2*h + 11. Let k be w(6). Let j = k + -63. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 88178 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.694627 meters?\nAnswer: 0.001694627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/13 - 38*z\/13 - 60\/13 = 0. Calculate z.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123767 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 15*u + 31*u - 24959 = 0. Does 120 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/190 and -31\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 11) to base 13\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/23 or -554710?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 3*p. Let h be k(3). Sort -3, 3, 5, h in descending order.\nAnswer: 5, 3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 170\/10547?\nAnswer: 170\/10547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -5. Is 5 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1567, 1539, 1453, 1279, 987?\n\"Answer: -5*g**3 + g**2 + 4*g + 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 9*p + 985. Let i be b(-34). Calculate the highest common divisor of i and 525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 22 = c, -325*c + 19*x + 89 = -322*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 1, 0.4, -0.3, 35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 - -108. What is the second derivative of 2237*r - r**3 + 36*r**z - 2153*r - 8*r**2 wrt r?\nAnswer: -6*r + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 30 = -13*r. Solve r = -4*y - 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g - 4 = r, 4*g + r + 16 = 0. Let f(h) = -h**3 - 3*h**2 + 2*h - 4. What is f(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 7*c - 10. Let p = -6 + 8. Suppose -p*x - 7 = 11. List the prime factors of b(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3117, -6203, -9291, -12381?\n\"Answer: -z**2 - 3083*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27818 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 - -480727.\nAnswer: 480804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(187) - sqrt(187)) + 2*((sqrt(187) + sqrt(187)*-1 - sqrt(187)) + sqrt(187)))\/(1*sqrt(66)\/(sqrt(6)*-1)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 - -4.24. Let w = -2 - -6. Let m = w - 7. Sort d, m, -0.5.\nAnswer: m, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284734 and 24130?\nAnswer: 1423670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 367769*s**2 - s + 5141697 with respect to s.\nAnswer: 735538*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/339030 and 68\/40095.\nAnswer: 302075730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 1026211?\nAnswer: 1026214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1369588766 - -0.7.\nAnswer: 1369588766.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.512706 rounded to three decimal places?\nAnswer: -0.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 3*g**2 - 5*g + 3. Let l be t(5). What is the greatest common divisor of l and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 3. Let m be t(0). Let y(p) = p**3 - 404 - 406 + 812 + 3*p**2. Let s be y(m). Calculate the highest common factor of 8 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -69*d**2 - 23*d - 148. Let n(x) = -9*x**2 - 2*x + 1. Give -8*n(c) + q(c).\nAnswer: 3*c**2 - 7*c - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/(-118))\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*v + 18 = 0, 3*k - 8*k = 4*v - 15. Let f be (0 + 3 + -4)*k. Which is the closest to 1? (a) 4 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 2)*(-6)\/(-3). Let h = c - 2. Calculate the least common multiple of (-1*1)\/((-4)\/8) and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -26. Suppose 3*i = x + 1. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*j + 3*j + 15, 17 = j - 3*u. Let t(h) be the first derivative of -2\/9*h - 2\/9*h**2 - j - 2\/27*h**3. Find y, given that t(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9 + 136\/16)\/(2\/(-1500)) is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/4 - 2769*s\/2 + 2555787\/4 = 0. Calculate s.\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 19. What is a(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-9))\/(2\/(-6)). Suppose -4 = -g - 4*f, 0*g + 3 = 2*g + 3*f. Suppose 2*y - 4 + g = 0. Put y, -1, n in ascending order.\nAnswer: n, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 13*k + 29*k**3 - 35 - 31*k**3 + 15*k - k**4 to the form r*k**3 + g + n*k + a*k**2 + z*k**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23062, -42933, -62804, -82675, -102546, -122417?\nAnswer: -142288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 260, -1, 6679 in decreasing order.\nAnswer: 6679, 260, 24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/7)\/((-1)\/1). Let i be (5\/15)\/(x\/9). Let g be -1 + i + (-21 - -25). Solve 4*h + 6 + 6 = g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - j + 116, 7*g - 3*g - 212 = 3*j. Let u be (g\/20)\/((-2)\/(-10)). Suppose -3*m + 2*m + u = 0. What is the remainder when 41 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 - 1 = 0. Suppose 0 = t + a. Let d = 3 - t. Solve -5*h + 22 = d*s - 0*h, 5*s - 11 = 2*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5\/7, 2, 2\/9, 28 in increasing order.\nAnswer: -5\/7, 2\/9, 1\/4, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 222835 * 8\nAnswer: 1782680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -152, -153, -154, -155, -156?\n\"Answer: -f - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2862\/29 + -2286854\/23171. Let i = v + 67939\/4794. What is the common denominator of i and 47\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9624\/(-10))\/((-18)\/60). Let o = d + -128303\/40. Calculate the common denominator of 79\/2 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 834 + 747 + 831 - 2407 + 4*m.\nAnswer: 4*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*o - 1117*o = -234*o - 36720 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1085?\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/254704 and 91\/390970640.\nAnswer: 390970640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44195, -176779, -397747, -707099, -1104835, -1590955, -2165459?\n\"Answer: -44192*g**2 - 8*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268834233.\nAnswer: 3, 1571, 57041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 62. What is the hundreds digit of (309 - -16) + (h - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2 and (-3)\/((-54)\/(-4)) + (-1378)\/(-288)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1990 and 205?\nAnswer: 81590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 7*n + 3. Let d be z(-7). Suppose 2*j = -0*j. Suppose 0 = -d*t - j*t + 6. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z = -83*z + 122 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 831921 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from kkqkkkkkkkkkkkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.15 + -59.15. Round t to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -7. Let c = d - 17. Calculate the remainder when 61 + c\/2 + 2 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17198620 is divided by 22278.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/5 + 7378*y**3\/5 - 6308874*y**2\/5 - 183955058*y - 19518769036\/5 = 0. What is y?\nAnswer: -103, -26, 1909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**3*l - 3*i**3 - i**2*l - 33*l wrt i?\nAnswer: 9*i**2*l - 9*i**2 - 2*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-5\/3)*l)*l*l)\/l**(-1\/11)*(l**(-2\/11))**(1\/17) assuming l is positive.\nAnswer: l**(1541\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*n + 0 + 0 + 3 + 19.\nAnswer: 3*n + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Solve 4*j + 3*b = -j + 12, t = -2*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c - 50*c + 11*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2335.428 litres?\nAnswer: 2335428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - -2 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -501?\nAnswer: -250.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7110865443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlddddddldddlldddl. What is prob of picking 2 l?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-16) + -4)*((-1136)\/(-120) + -10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + g - 2*g + (-2*g - 2*g + 3*g)*(-1 + 1 + 3) + (3 + 2 - 3)*(0 - g + 0) to d + m*g and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60294628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 15 = 5*y + 121, 3*a = 2*y + 43 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*b - 19. Suppose -3*c - c + 3*p + 152 = 0, 2*p = 3*c - 113. What is the remainder when c is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -305*o**2. Let p(y) = y**2 + 216 - 2*y**2 - 216. Calculate p(j(f)).\nAnswer: -93025*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 14*z**2 + 342*z + 24. Give q(-27).\nAnswer: 996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14012413 divided by -14012413.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 390181002\nAnswer: 78036200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Let k = 4.5 - 4. Sort -2\/15, j, k in increasing order.\nAnswer: j, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383e8b (base 15) to base 10.\nAnswer: 2696531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 6}. What is prob of sequence ee?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r**3 - 2*r**3 + 7*r**2 + 27 - 8*r**3 - 26 + 2*r**4 - 11*r to the form s*r**2 + c*r + i + z*r**4 + y*r**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 857087*d - 857706*d)*(d**2 - 4*d**2 + 4*d**2).\nAnswer: -619*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -20*a - 10. Let k(r) = -7*r - 3. Let f(o) = 17*k(o) - 6*z(o). Let b be f(-10). Let w(u) = -1. Let v(p) = -3*p + 1. Calculate b*v(c) - w(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*x + 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 784 and 2637056?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - 24) + 44 - 27.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78 or -4.0512?\nAnswer: -4.0512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*j = -41 + 139, 126 = 5*p - 2*j. Let r be 14\/78 + 4\/p. Solve 0 + 0*z + 0*z**3 - r*z**5 - 1\/3*z**4 + 0*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49422 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**3\/3 - u**2\/2 + 13*u - 958. Determine q(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-5) + 2\/(-5). Suppose 5*x + 19 - u = 0. Let q = 5 + -8. Put q, x, 5 in increasing order.\nAnswer: q, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18077172 is divided by 181?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99385250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 20, 0 in decreasing order.\nAnswer: 20, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -5*a**3\/2 + 25*a. Suppose 0*t = 4*t + 96. Let z(f) = 3*f. Give t*z(y) - 5*s(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -875.9503 and 4?\nAnswer: -3503.8012","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 6*y - 1\/2*y**2 + 23. Calculate s(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59, -100, -153, -224, -319, -444, -605?\n\"Answer: -s**3 - 34*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrl when three letters picked without replacement from {l: 2, m: 4, f: 1, b: 3, r: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2940?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**19)\/w*w*(w\/w**(-3\/2))\/w)\/(w\/w**(-1\/6))**(-12))**(-30) assuming w is positive.\nAnswer: w**(-1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + 17*l + 9. Let b(d) = -9*d**2 - 37*d - 19. Let k(o) = 3*b(o) + 7*f(o). Determine k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11025)\/(-3640))\/105*40\/(-15)*-1\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 329046.016 rounded to the nearest one hundred?\nAnswer: 329000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 790 or 671143\/848?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 3. Let h be z(4). Let s(l) = -24*l - 43 - l**2 - 5 + 22. What are the prime factors of s(h)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 27*b - 6 = 0. Let g be ((-6)\/(-3))\/(-1) + -2. Put g, -3, b, 1 in increasing order.\nAnswer: g, -3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - sqrt(704)*-1*-2) + -4 - 3*(sqrt(704) - -3*sqrt(704)*4))**2.\nAnswer: 2560*sqrt(11) + 1126416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((5 + sqrt(36)\/sqrt(3) - sqrt(768))**2 - (1*sqrt(243) + 4 + -2*sqrt(243) + 1)).\nAnswer: -131*sqrt(3) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**8\/140 - z**6\/60 - z**3\/2 - 2*z**2. Let j(u) be the first derivative of n(u). Find the third derivative of j(w) wrt w.\nAnswer: -288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183341933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 450. Suppose 8*f = 3*f + q. Calculate the highest common divisor of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -27.5. Let n = 18.65 + -19. Let j = n - c. What is the third smallest value in j, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + -3.5. Suppose 0 = 6*w + 27 - 9. Let r = -6.8 - -9.8. Which is the nearest to m? (a) w (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 1. Let n be 8\/5 - 8\/(-20). Suppose -n*o - 4 + 8 = 0. Calculate t(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 - 22*j + 9. Let z be v(8). Let m = 131 - 129. What is the highest common divisor of z and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/u**5*u*u*u))\/u)\/u**6)\/(u**(-1\/5)\/(u\/u**(-3))) assuming u is positive.\nAnswer: u**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7)*(-11)\/(-1))\/((-7)\/((-294)\/(-6))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 19 - 87 = 0. Solve 0 = 2*j - p, -4*j + 0*j = -3*u + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.024113ml?\nAnswer: 0.005024113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 258 and -0.56?\nAnswer: -144.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38425 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.43 + 24.1. Let s = k + 0.43. Which is the smallest value? (a) 0.8 (b) s (c) 1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*b + 3705 = 2*l, 4*l = -2*b + 3698. Suppose -4*t + o = -l, -2 = o + 3. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kei when three letters picked without replacement from ekhiannh?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -258, -267, -276, -285, -294?\n\"Answer: -9*w - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154706817.\nAnswer: 3, 17, 41, 241, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = c + 3*c + 192, -o = -2*c - 52. Suppose 0 = -43*f + o*f - 2. Solve 0 = -h - f*i + 12, h - 4 = 4*i - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a - 13. Let d be i(7). Suppose 132 = 4*s - w, -5*w = -2*s + 106 - 22. Suppose s*c - 125 = 27*c. What is the greatest common divisor of c and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(200) - sqrt(50)) - sqrt(3200)*3 - (sqrt(200) + (sqrt(200) - sqrt(200)*-2)*6 + sqrt(200))\/(sqrt(4) + (sqrt(4) + sqrt(36))*4))**2.\nAnswer: 5882450\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**3 + 366*v**2 + v + 2752. Let l(o) = -o**3 + o. Let b(h) = -2*l(h) + u(h). Find the second derivative of b(y) wrt y.\nAnswer: -12*y + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218038 + -45438. Round y to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -318*x. Let i(t) = -70*t**2 + 18*t**2 + 30*t**2 + 27*t**2. What is i(r(o))?\nAnswer: 505620*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 12)*(2 + 2 - 1)*(4 + 0 - 2)*(-2*p + 0*p + p).\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1032 and 29622?\nAnswer: 5094984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64002 + -38233. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16364 is divided by 138?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 71290731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 22*w**2 + 36*w + 88. Let u be r(12). What is the greatest common factor of 10498 and u?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-15) + (-208)\/(-20). Let z be 2*56 + (9 - q). Suppose -4*x = 4*c - 104 - 12, 0 = 4*c - 2*x - z. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(30) - sqrt(30))\/sqrt(6) - sqrt(5)) + sqrt(5) + sqrt(5) + 1.\nAnswer: -3 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7\/2, 157630 in ascending order.\nAnswer: 7\/2, 5, 157630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*a = 2228*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197 - 99 - 99*g - 98)*(-5 + 4 - 5).\nAnswer: 594*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 135 = -4*v. Suppose v*k - 1112 = 12145. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 1. Let t(o) = 9*o - 8. Let j(g) = 6*d(g) + t(g). Let m(a) = 4*a - 1. Let q be m(1). Is j(q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 289, -21, 4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6128602?\nAnswer: 2, 17, 19, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130082675 divided by -5203307.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2099*f - 2106*f + 133 = 0 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1189.61492 to the nearest ten.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 10*y**2 + 12*y - 10. Let g be z(11). Put g, 5, -1 in decreasing order.\nAnswer: 5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044428 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: Divide 2774944 by -1.\nAnswer: -2774944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129365 is divided by 4318.\nAnswer: 4143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4576? (a) -2\/9 (b) 2 (c) 1\/11 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 61.\nAnswer: 25\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - 3) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/7)\/((-187)\/1309)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 0, 5*r + 4*b = -b + 15. Solve -28 = r*g + 3*v + v, -5*v = 3*g + 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10227 + 11809. What is the remainder when l is divided by 83?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-44) - 3185\/18018)\/(3\/(-54))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t**5 + 34*t**2 + 498*t.\nAnswer: 140*t**3 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 2*o - 2. Let w be n(2). Solve -f = 5*r + w - 23, 2*r + 5*f = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6761*s - 27*s**3 - 6666*s + 13427*s.\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7}. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/11 + -35\/66. Let m = -0.54 - -0.5. Let a = m + -0.36. Sort q, -2\/3, a in increasing order.\nAnswer: -2\/3, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 4:48 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 2*x**2 - 2*x + 4. Let t(b) = 3*b**3 + 4*b**2 + 5*b - 9. Give 5*h(w) + 2*t(w).\nAnswer: w**3 - 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488832669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21153 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c4b (base 14) to base 3.\nAnswer: -10022220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11481 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1 (c) -1\/7 (d) -4 (e) 0.28 (f) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-6)\/15*-21*10\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, -1\/3, 1\/126 in increasing order.\nAnswer: -1\/3, 1\/126, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43237123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*h - 168 = 0. Let t be (-1)\/6 - 16468\/h. Suppose 2*j - 2083 = -j - 2*b, j - b = t. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -9*g + 5*y - 18, 8*g - 38 = 13*g - 14*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466*h**2 - 1462*h**2 + 28 + 2928*h**2 + 119*h**3.\nAnswer: 119*h**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*r - 1331 + 1205 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2036)\/3360 - (-2)\/(-7) and 85\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*i, 11 = 4*a + 3. Solve 4*h - 2*m - 16 = 0, -i*h + 5 = -2*m - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 - 1711111*m\/5 + 1140742\/5.\nAnswer: -(m + 570371)*(3*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 11*c - 12. What is the remainder when j(3) is divided by -3*(24\/9 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 20101022000?\nAnswer: -20101021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 4*q - 25. Let a be t(-5). Let p = -305 - a. List the prime factors of p\/(-15)*-3*(-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 145, -0.98, -1\/7 in descending order.\nAnswer: 145, 4, -1\/7, -0.98, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 2*i - 65, 4554*i = 19*h - 20*h + 4553*i + 53 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 - 0.36. Let o be (-9)\/9 + 3\/4. Let t = 0.2 + -0.1. What is the closest to o in g, t, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.54\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y - 3. Let o(k) = 11*k - 7. Let v(a) = 9*m(a) - 4*o(a). Let z be v(-3). Let j be (z - -2) + 9\/21. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - (6 - 118 - -140).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/4 - 2*a**3\/3 - 6*a - 14. Let v be q(3). Let w(t) = -6*t**v - 92*t + 5*t**3 + 1 - 4*t**2 + 91*t. Calculate w(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/153 + 317\/4590. Let h(o) be the third derivative of 2*o**2 + 0*o**3 - 1\/54*o**4 + 0 + 0*o - s*o**5. Factor h(t).\nAnswer: -2*t*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47617\/2821 - 9\/403. Which is smaller: 1\/5 or z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*z - m + 2, 3*z = -4*m + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 545562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 109454421 and -4.\nAnswer: -437817684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m**2 - 11*m**2 - 4*m**2)*(-46 + 46 + 81*m**2)*(-3*m - 3*m + 2*m).\nAnswer: 8748*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/(-21))\/5*(-12)\/2. Factor 1\/3 + 1\/3*q**m + 2\/3*q.\nAnswer: (q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 + 17008*r**3 - 34008*r**2 = 0. Calculate r.\nAnswer: 0, 2, 8502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31238 is divided by 662?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1427 divided by -1312?\nAnswer: 1427\/1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/((c\/(((c**(2\/7)\/c)\/c)\/c))\/c)))*c)**(-22\/3) assuming c is positive.\nAnswer: c**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-603)\/(-3417) - 721\/(-1309)*1?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*o = -175, -6 - 4 = -2*o. What is the smallest common multiple of k and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 170 = d. Solve -5*o + d = j, o - 5 + 0 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*y - 6*y + 37, 5*k - 10 = 5*y. Let o = -3 + 7. Let r(t) = t**2 - 4*t + 6. Let a be r(o). Calculate the greatest common factor of y and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 509\/9. Let n = -829.5 - -829.6. Which is the closest to -3\/4? (a) 5 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1271*q**2 + 6280*q - 3. Give d(5).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290142545?\nAnswer: 5, 7, 11, 753617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/16578 and -161\/23946?\nAnswer: 215514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 195 = -11*y. Let p be y\/52*1\/(-6). What is the biggest value in 2\/3, 0.9, p?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6383796 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 28*u**2 + 17*u + 43. What is the units digit of x(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000245181 to 7 dps.\nAnswer: 0.0002452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 119 - 54*i + 122.\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18842, 9, 5.\nAnswer: -4, 5, 9, 18842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (0 - 1) + 80\/20. Let r be 88\/(-110) - (-24)\/o. Solve t + r*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -404, -454, -514, -596, -712, -874?\n\"Answer: -2*f**3 + 7*f**2 - 57*f - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 839664 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -187.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(35)\/(-3*sqrt(245) - sqrt(5)))**2*4.\nAnswer: -12*sqrt(7)\/11 + 4363\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 2. Let o be 6 - a\/(-9)*3. Solve -2*l = -2*u + 2*l + 8, -o = -u - 4*l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 49*p**3 - 439*p**2 - 203*p + 1681. Calculate l(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11043 - 2443 + 736 + 3536)*(-t - 2 + 2).\nAnswer: -12872*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.843 - 7.788. Let g = 16 + -16.095. Let d = n + g. What is the smallest value in 0.4, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 366.9, -5, 5, -1\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269*m**3 + 247*m**2?\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*-21*138\/644.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2263518, 4526996, 6790474, 9053952?\nAnswer: 11317430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -3*b**3\/2 + 13*b**2\/2 + 2*b. What is the derivative of w(y) wrt y?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 164023?\nAnswer: 164001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3 + 11. Let g(u) = u**2 + 3*u + 2. Give g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35637 or 35638?\nAnswer: 35638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(1083 + 57))\/(4*(-4)\/(-32))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + (-15)\/10)*384\/(-9). Let t = 61 + n. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/11)*g*g**(-10)*g assuming g is positive.\nAnswer: g**(-87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -2, -0.4, -1\/40, 0 in increasing order.\nAnswer: -2, -0.4, -1\/11, -1\/40, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1104, 4406, 9894, 17556, 27380?\n\"Answer: -2*s**3 + 1105*s**2 + s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 r when three letters picked without replacement from {z: 2, w: 1, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/7)*f*f*f)**(-37)\/((f**(-1\/4)*f)\/(f*f*f**(-6))))**(-20))**(5\/16) assuming f is positive.\nAnswer: f**(99525\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 416\/24 + 4\/6. Solve 0 = -4*p + k + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 2*z = -20*w - 19, 3*w + z - 12 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - 5. Let w be f(-4). Let t be 5\/(105\/(-7))*150\/(-2). Suppose 4*m - 14 = c, 0*m - m = -5*c + t. Solve c*r - w = -2*x + r, -r + 8 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-6)*(1 + 6\/30). Suppose -o + x*y = -34, o + y = 6*y + 36. What is the remainder when 87 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 8. Let c be a(-5). What is c rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03761 - 41.49239. What is c rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v. Let p(b) be the first derivative of -26\/3*b**3 + 0*b**2 - 3 + 0*b. What is p(c(x))?\nAnswer: -234*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64441407 and 11169.\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b + b + 8*b**2 - 14 + b**3 + 24. Let y be i(-7). Suppose 5*j - 12 = x, 2*j - x = y - 4. Solve -3*l - 5*s = 3 + 5, j*l - 12 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Let b = -17 - -19. Suppose o = s + 7, -b*s + q + 18 = 4*o. Solve -o*a - 5 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0340502972506 - -10.59?\nAnswer: 10.5559497027494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.3. Let g = -5 + 28\/5. Which is the biggest value? (a) g (b) i (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4886 and 12?\nAnswer: 29316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 - 55*n + 1. Let u be o(13). What is the common denominator of 101\/18 and ((-79)\/(-8))\/(u*(-15)\/(-15))?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 28*w - 4 = 2*m, -m - 6 = -3*w. Put 214, m, -2 in descending order.\nAnswer: 214, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198040178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/86217?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*q + 150 = 109, 28*i - 98 + 37 = -3*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(364\/8)*(0 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 25 + 34)*(j + 2*j - 2*j) in the form i + m*j and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37\/2 + 19. Suppose 4*y - 8 = 2*y. Suppose 3*m - 7*m - 8 = 2*t, 0 = -y*m - t - 8. What is the nearest to 1\/3 in 1, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.29999665 + 5.3. What is a rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.5 - -17. Let f = i + 3. Let y = 0.947 - -0.053. Which is the second biggest value? (a) y (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*y + 71*y - 49*y + 1.\nAnswer: 82*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 - 22*w. Let t(v) = v. Let k(f) = -44*t(f) - 2*u(f). Let s(n) = 5*n. What is s(k(b))?\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*q = -762, -5*o = 4*q - 40 + 1917. Let t = o - -631. List the prime factors of t.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 8*x - 3 = 3*w, -w + 3*x = 9. Sort -3, w, -13 in descending order.\nAnswer: w, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572238349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.7 + -0.3. Let t = z - -13.9. Let i = 3.9 - t. What is the closest to -1 in -0.3, i, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000351 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113320 - -111300?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -3 - (-4 - -7)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(3\/8)*q**(2\/5)\/q*q\/(q\/q**5)*((q*q*q**2*q)\/(q\/(q*q\/(q**(-3)*q)*q)*q))\/(q**(-4)\/(q\/(q*q**(-3)))) assuming q is positive.\nAnswer: q**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14621 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.870349 millilitres in litres?\nAnswer: 0.003870349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 - -14?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.099 + 0. Let c = 1.951 - q. Let i = c + -0.05. What is the closest to 0 in -2\/7, i, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3645 is divided by 246.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353\/78 + 1\/39. Suppose -3*n = -6*n - 2307. Let r = n - -6135\/8. What is the common denominator of l and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946252 a multiple of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 42. Let 8*a + 10*a + 24*a**2 + 4*a**4 + 5*a + 16*a**3 + 4 - g*a = 0. Calculate a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 749892780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 364 - 369.98. Let l = z - -113.68. Let n = l + -102. What is n rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/11 or -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -27\/8.\nAnswer: -5, -27\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32477.25 decades?\nAnswer: 3897270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 29 - (6 + -6 + (-12 - -4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p + 12 = -9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 5*a**2 - a + 7. Suppose -3*b - 35 = -4*v, v + 0*b = 5*b + 30. Give t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 + 2) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:47 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/135 and -47\/1305.\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22290 divided by -341.\nAnswer: 22290\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4600)\/(-1472))\/(2\/(-16)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9628*c + 1539. Is f(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z + 17*z - b + 1 = -17*z, b - 5 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 - 12*k**3 - 14*k**2 + 12*k + 16 = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8998837 rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -y - 3*u, -32 - 6 = -5*y - 2*u. What is the third derivative of -2 + y*t**2 - 4*t**2 + 5*t**3 + 2 wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(495) - (sqrt(495) + sqrt(495) + sqrt(495)*3))\/((sqrt(396)*-6 - sqrt(11)) + sqrt(11)) + 3.\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*2235.444.\nAnswer: -447.0888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 - -93. Let t = -96 + 167. Let k = t + j. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1152005*p - 9. Let d be i(5). Suppose -3*s = 3*n + 4947230 + 3692782, -2*s - 4*n = d. Round s to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19440409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (2 + -2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:25 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1334 = 2*r - 1342, 5*s - 28 = -3*r. Solve d + 297 = -3*o + 282, -s*o - 10 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 6:52 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/625*(-150)\/12*(-2)\/40?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (64\/(-60)*1)\/((-6)\/5). Let s = 5\/8 - -17\/24. Solve 2\/9*q + a*q**2 + s*q**3 + 2\/9*q**5 + 0 + 8\/9*q**4 = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*u - 620, 46 = u + 5*g - 56. Suppose p - 2*b = -6, -p + 0*b + 3*b - 10 = 0. Suppose -16 = -p*k - n + u, -4*k = 3*n - 285. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*t + 20*t - 73200. What is t rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 40022716?\nAnswer: -40022707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460449?\nAnswer: 983, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1158 + 2279. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4982713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*s + 313*s + 899 = 0. Let b be 5\/(5\/(-2)) + -28. Is b <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2379*p*t**5 + 2*p*t - 24*p + 811*t**5 + 4*t**2 + 3*t + 225334 wrt t.\nAnswer: 47580*p*t**3 + 16220*t**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6 + 15 - 5*d + 12*d. Calculate the remainder when a(10) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*a = -4, -n = -0*a - 4*a - 14. Suppose -s - 2 = -n. Factor -75*t**5 + 1 - 138*t**3 - 3*t + 180*t**4 + 3 - s + 36*t**2.\nAnswer: -3*t*(t - 1)**2*(5*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540780 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -50. Let l = m - 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 2, y: 1, l: 10, n: 4}. What is prob of picking 1 l and 2 n?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -24560950.\nAnswer: -24560944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 2, 11*h - 7*h - 12 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20486, 40947, 61408, 81869?\n\"Answer: 20461*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4886589.97099957 - -4886590. Let w = r + -0.029. What is w rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 5*p - 10. Suppose -l - 108 = -x, -x + p*x - 102 = 4*l. Calculate the greatest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*3*(-2 + sqrt(343) + sqrt(343)) + (-3 + sqrt(343) + -3 + sqrt(343))*-5))**2.\nAnswer: -19656*sqrt(7) + 2087136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z - 153450005 - 6*z**3 + 153450005 + 13*z.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/840*64*(-5)\/2.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-32\/5)\/(a\/(a\/((((a\/(a\/a**11)*a)\/a)\/a)\/a))) assuming a is positive.\nAnswer: a**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 13396 + 8252. What is the hundreds digit of g*(-2)\/(-20)*(-25)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a + 35 - 19 - 18 + 8*a. Let b be q(11). Suppose -5*h + b = -579. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/12 + 5*l**4\/12 + 4*l**3\/3 + 5*l**2. Suppose 3*s + 3*n = -6, n = -4*s + 7*s + 22. What are the prime factors of x(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + (sqrt(500)*-2)**2 + sqrt(500) + sqrt(500) + sqrt(720) + -2.\nAnswer: 42*sqrt(5) + 1998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -15300*k + 963921. Determine q(63).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnxnnnn. What is prob of picking 2 n and 1 x?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14492325, -14492330, -14492331, -14492322, -14492297, -14492250, -14492175?\n\"Answer: v**3 - 4*v**2 - 14492322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 464623159*x + 350768392.\nAnswer: 464623159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -5669.22 (c) 3 (d) 1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/((d\/(d\/(((d**(5\/2)*d)\/d)\/d*d)))\/d))*d**(1\/17)*d*(d**2)**44 assuming d is positive.\nAnswer: d**(3079\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 - 0.07506\nAnswer: 0.35494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + 200131230?\nAnswer: 200131202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -3 - -17*1. Suppose 4*t = 30 + x. What is the highest common divisor of t and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + sqrt(45) + 2 + sqrt(45) + -2 + 5.\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 16*a**2 + 15*a + 1. Let h be c(-17). What is the highest common factor of 35 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x - 7. Let c(k) = 10*k - 7. Let j(g) = -5*a(g) + 6*c(g). Let t be j(2). Solve 0*f - 3*f = t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75465 and 774?\nAnswer: 150930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*k + 9. Let r be (-12)\/9 - 16\/k. Suppose 4*d - 345 = -5*h, 2*h + 96 = d - r*h. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r\/(r**(1\/2)\/r))\/r)\/r*r**(-10)\/r*r)\/(r**3*r**(-17)) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 2) + -1 + -1. What is the first derivative of r**2 - 5*r**2 - d + 4*r**2 + r**3 wrt r?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8061118 at most 8061176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -631 - 769. Suppose -4*h + 924 = j. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28106\/1867 or 15?\nAnswer: 28106\/1867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 4*f + 3. Let w be i(-5). What is the units digit of (1 - -1)*(w - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 23*p**2 + 94*p + 277. What is l(-19)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 241 divided by -237\nAnswer: -241\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/90*5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 905, 7234, 24411, 57860, 113005, 195270?\nAnswer: 310079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-5)*(-5)\/2. Let l(y) be the first derivative of 0*y**k - 1 - 5\/4*y**4 + y + 0*y**2. Differentiate l(q) wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -745*c - 18477.\nAnswer: -745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 124, 426, 1026, 2026, 3528?\nAnswer: 5634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1483.\nAnswer: 2\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + w**2 + w - 2. What is f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by -10\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 8*k. Let z(s) = 3505*s - 5. Give g(z(f)).\nAnswer: 12285025*f**2 - 63090*f + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + y + 0 - 1 - y + 1 + (-y + 0*y - y)*(2 + 3 - 4) - y + 5*y + 2*y + (-y + 2*y - 3*y)*(197 + 97 - 179).\nAnswer: -226*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 - -46. Let v = 298\/7 + f. Is v less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29181 + 20*i - 6*i + 29174 - 58355.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0.1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(4\/(-10))\/(3\/(-315)). Calculate the highest common factor of g and 2709.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + f**2 - 3*f**2 + 5*f**2 - 81*f**3.\nAnswer: -81*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 1267, 1907, 2547, 3187?\nAnswer: 3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -24*q - 83. Calculate i(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 750. Let x = 630 - h. Which is the nearest to 0.2? (a) -0.4 (b) -0.02 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h + 43. Give o(-12).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, 0.64, 1\/3?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + -4 - 6\/(1 + -2). Solve b - 3 = 2*h - n, 20 = 3*h - 4*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c5 - 386?\nAnswer: -76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -34*o + 2. Let d(g) = -27*g**2 + g + 221. Calculate d(u(t)).\nAnswer: -31212*t**2 + 3638*t + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(((-4 + sqrt(7))*4)**2 + sqrt(84)\/(sqrt(12)*1) + 3 + -3).\nAnswer: -254*sqrt(7) + 735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2985, 479, 3951, 7431, 10919, 14415?\n\"Answer: 4*n**2 + 3452*n - 6441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 9, 0, -9?\n\"Answer: -9*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.3998068 rounded to three dps?\nAnswer: -64.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - g**2 + 4*g)*(-7*g - 2*g + 3*g) + g**3 + 0*g**3 - 2*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - ((4 + -2 - 4) + -9)) + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 12. Suppose 4*d - 433 = -4*r - 149, 2*d - 294 = -4*r. Let m = r + -230\/3. What is the nearest to m in h, -1\/5, 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uudqq. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 7:57 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/539 + 3749\/3234. What is the nearest to -0.1 in 5, 0.1, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 23*p**3 + p**2 + 2. Let q be g(-3). Let t = 1050 + q. Suppose -3*i - t = -2*i. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 2*y**2 + 397. Is m(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - 57998 = -a, -2*a - 4 = 0. Round v to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 30*y + 13. Is i(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1064 + 84*m + 1064)*(4*m**3 - 2*m**3 - 3*m**3).\nAnswer: -84*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -17, -34, -67, -122?\n\"Answer: -n**3 + n**2 - 3*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/5018 and -61\/182.\nAnswer: 35126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501, -1003, -1505, -2007, -2509, -3011?\nAnswer: -3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1 - 3. Suppose 4*a - u*a = 8. List the prime factors of -2*(-2)\/a*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 z when four letters picked without replacement from {m: 2, z: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((4 + 25 - 0) + -8) - (-17 - -7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012221210112 (base 3) to base 5.\nAnswer: 1033233420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r + 1. Let c(f) = 18*f**3 - 2*f**2 + 5*f + 6. Let j(q) = -c(q) + 5*t(q). Does 12 divide j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(272) - sqrt(153)\/((sqrt(54)*-2)\/sqrt(6))) + 5.\nAnswer: 17*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l**2 - l**3 + 0*l**2 - 2. Let f(r) be the first derivative of r - 1 - 1\/3*r**3 + 1\/2*r**2. What is 2*f(p) + k(p)?\nAnswer: -p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, v: 2, f: 4, h: 1}. Give prob of picking 2 i and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/40 and -57\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(75) + 4 + -3 + sqrt(75) + (-1*sqrt(75) - sqrt(75))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 131036 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240293 is divided by 20021.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-14) + (-5)\/(-9)*(-51)\/(-34). Which is the nearest to -1? (a) w (b) 0.3 (c) 0.7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - -91) + -157 + 15.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20671009.\nAnswer: 61, 107, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - (-23 - 24)) + 30?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 180 = -48*u. Suppose 5*p + 5*j = 2*p + 190, -u*j = -5*p + 366. Which is the third biggest value? (a) 5 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 0*s + 4*s + 4 - 5*s + 4*s**2 + 4*s. Let l be d(-3). Suppose -12*j - 49 + 813 = 20. Calculate the greatest common divisor of l and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 9:45 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 603 = -3*t, 0*r - 211 = -t + 2*r. What is the remainder when -4 - (-3 + 6)\/((-5)\/t) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 - 4*z - 11. Let v(x) = -14*x**2 + 12*x + 31. Let i(r) = 11*m(r) + 4*v(r). What is i(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/63 and -5\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -82, -188, -336?\n\"Answer: -21*v**2 - v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177191413 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 975?\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -383.2 + 385.2. Put -1\/4, 449, g in decreasing order.\nAnswer: 449, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 183043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 4*v - 4. Let d be x(3). Let l = d - 7. Let y(c) = -6*c + 2. What are the prime factors of y(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1621\/3420 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -2*j**6\/15 - 25*j**5\/4 + 1171*j**4\/6 - 565*j. What is the third derivative of i(p) wrt p?\nAnswer: -96*p - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + c**2 + c - 33 - 37 + (0 - 3*c + 0)*(-5 + 2*c + 5))*(2878 + 103*c - 2878).\nAnswer: -515*c**3 + 103*c**2 - 2266*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1108267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-15))\/(-2))\/(180\/(-276300)*-307).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82646 and 688?\nAnswer: 661168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*w - 288*w - 265 = 288*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = -0. Let p be u - 2\/((-12)\/10). Which is smaller: 0.07 or p?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*i + p - 122, -5*i + 95 = 5*p. Let a = -3 - -11. What is the highest common factor of i and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 4*d - 13. Let n be g(0). Let x = n + 26. Let p = x + -6. Let o(q) = -q**2 + 7*q + 5. Determine o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-40) - 13\/5. Let b be (0*w\/12)\/(-2). Suppose b = f + 3*f + 8. Sort f, -5, -1 in descending order.\nAnswer: -1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/48 and 109\/156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-3 - -4)*(-5 + 444\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366468 - 304*i + 411*i**2 + 366468 + i**3 + 412*i**2 - 823*i**2.\nAnswer: i**3 - 304*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3609 - -3661 - (-2 + 1 + -2)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-208))\/(1\/4)*(-1 - 0\/(-1))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/30)\/(3\/(-10)*(-1020)\/1377*1)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -165*v + 1375*v - 40*v + 817 - 1022 wrt v.\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 3\/55 (c) -1.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 320.677 + 17.323. Which is greater: -1.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-4\/5)\/(b**(-1))**(10\/3)*(b**(2\/5)\/b*b*b**(1\/5))**(-50) assuming b is positive.\nAnswer: b**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -16 - (-69 - -81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 0 + 4 + -8*(-4)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 16 = 0. Let m(j) = -j**3 + 4*j**2 + 4*j + 1. Let l be m(s). Let n = l + -12. Put n, 1, -3 in increasing order.\nAnswer: -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/60 + 11*c**2. Let l(f) = -24*f. What is l(w(m))?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 45 = 5*t, 3*t + u + 35 = 6. Let z be 0 + 0 - (t - -7). Solve z*n + 5*s = -30, -n - 4*s + 3 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - 213*h**2 + 10*h + 706. Determine v(-71).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.33 take away 44?\nAnswer: -64.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 774*a*k*m*y**3 - 454*a*k*m*y + a*k*y - 2*a*m*y**2 - 2*a*y**3 - a*y**2 - 7*k*y + 5*k - 13*m*y**3 wrt y?\nAnswer: 4644*a*k*m - 12*a - 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*q + 8099, 5*q - 1179 - 867 = c. Let n be c\/(-301) + (1 - (-10)\/(-14)). Let y be n\/((-21)\/(-18)) + -4. Solve 3*x + y = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241106270 take away 3.64?\nAnswer: -241106273.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 - 93381*j + 280116 = 0 for j.\nAnswer: 3, 31124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3 + 1617090*p**2 + 78*p + 2979 wrt p?\nAnswer: -6*p + 3234180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153753 and 17331.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 - 4*h - 17. Let r = -389 - -384. Let t(m) = -7*m**2 + 8*m + 33. Let v(y) = r*n(y) - 3*t(y). Give v(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l - 2. Let f(v) = 33*v + 4. What is 2*f(r) + 5*z(r)?\nAnswer: -14*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5353 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**3 - 2 - 1 - 5 - 7*i. Let d(u) = u**3 - u - 1. Let p be (-2)\/(-11) + (-272)\/44 + 5. What is p*c(n) + 5*d(n)?\nAnswer: -2*n**3 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*y - 303*y = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**3\/6 - t**2\/2 - 3*t. What is the remainder when 35 is divided by h(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -261370?\nAnswer: 261376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000980434 rounded to 7 decimal places?\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + (sqrt(1088) - (0 + sqrt(1088))) + -2)**2 + sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 0 + 0)).\nAnswer: -24*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2. Let c(i) be the second derivative of 11*i**4\/3 + 47*i**3\/6 + i**2 - 1652*i. What is c(f(b))?\nAnswer: 176*b**4 + 94*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - -181. List the prime factors of ((-34)\/(-4))\/(14\/y).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 1\/2, -2, 7, 1\/6 in decreasing order.\nAnswer: 29, 7, 1\/2, 1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 12:19 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1804 divided by -6\nAnswer: -902\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*r + 3*o, -15 = -4*o + 7*o. Let h(q) = q**3 + 22*q**2 + 24*q + 71. What is the remainder when r is divided by h(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(33)\/sqrt(3) + sqrt(11)) + sqrt(11) - (-3 + sqrt(1331) + sqrt(11)).\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86, 174, 262, 350, 438, 526?\n\"Answer: 88*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x**4 - 8477*x**2 - x - 44.\nAnswer: 36*x**2 - 16954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b - 2*b)*(3*b**2 - 6*b**2 + b**2) + 225 - 225 - 30*b**3 + (1 - 1 - 2*b)*(3*b**2 - 4*b**2 + 3*b**2).\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 65 = 9*b. Suppose -d - u = -5, -13 = -b*u + 2. Factor -28*o + 2*o**d - 4*o**2 - 4*o - 128 + 0*o**2.\nAnswer: -2*(o + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/145 at most 17\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4. Suppose 2*m + i - 13 = 0, -14 = -2*m - 3*i - 3. Let o(g) = -g - 2 - 5*g + m*g + 6. Let n(d) = -4*o(d) - 3*v(d). Differentiate n(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -142, -212, -282?\n\"Answer: -70*u - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(2\/25)*l)*l**0\/l*l)\/(l\/l**(-3)*l*l\/(l\/l**(-1\/11))))**15 assuming l is positive.\nAnswer: l**(-3291\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -4, 0.5, -15\/7, -21 in decreasing order.\nAnswer: 0.5, -0.08, -15\/7, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = -s, 3*s + 3*a - 12 = 6*a. Solve -x + 4*d + 3 = 0, 2*x + s*d - 6 = -5*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 75*h - 39. Is 44 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {v: 3, f: 12}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-4 - -16)) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12353274 + 46?\nAnswer: -12353226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6746 - 6735. What is the lowest common multiple of m and 2566?\nAnswer: 28226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2463222 is divided by 2463171.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 247 = 187. Let a be 4 + b\/(-52) - 6\/(-39). Solve -1 = -2*l - 3*w, 6 = 5*l + w + a*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:12 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 - 12*d**3.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = f + 11, 4*r - 13 = -2*f - 53. Let t = r - -16. What is the first derivative of -234*m**4 + 233*m**4 + 1 - t wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**8\/42 + 8*n**7\/105 + 20*n**4\/3 - n**3\/3 - 51*n**2. Find the second derivative of x(w) wrt w.\nAnswer: -160*w**3 + 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m. Let o(l) = -4*l - 3. Let x be o(-2). Let j(a) = 3*a**2 - 2*a**2 - 4*a**2 - x*a**2. Calculate f(j(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c + 2. Sort 3, c, -1 in decreasing order.\nAnswer: 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -100010111?\nAnswer: 100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6326*v = 6325*v + 41 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 231 = -3*h, 2*c + 9*h = 13*h + 132. What is the greatest common factor of c and 2430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:11 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let r = -19 + 18. What is the second smallest value in a, 3\/8, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - -0.38. Let s = k + -0.15. Let w = -22.95 - -22.97. Which is the nearest to 0.2? (a) s (b) w (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(sqrt(7) + 1 + sqrt(7) + sqrt(7) + -5 + sqrt(175)*2 + sqrt(7) - (4*1*sqrt(7) + 1)))**2 + 4.\nAnswer: -2500*sqrt(7) + 18129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81432, 81430, 81428, 81426, 81424, 81422?\nAnswer: 81420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqrjmqrrpjrrtr. Give prob of picking 1 q and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13212*v**2. Let y(f) = -9*f. What is y(k(r))?\nAnswer: -118908*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - k - 80, 4*k = -20. Suppose 470 = 2*g + 5*x, -246 + 12 = -g - 3*x. Calculate the greatest common divisor of t and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-6 - (-531)\/(-252)) - (-308)\/1232.\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/((-182)\/7852975))\/(0 - 2\/80). Round w to the nearest one hundred thousand.\nAnswer: 24200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 18 = -2*z, z + 0*z = 1. Suppose 4*d - 60 = -4*c, k*d - 79 = -d - 3*c. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2739 - -2749. Solve -10*j - s = -15*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 7 = 4*j, -3*h - 29 = 2*j + 3*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, x: 2, b: 1, o: 3, j: 5}. Give prob of sequence bo.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -2\/3, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 1, l: 1, s: 3}. What is prob of picking 2 t and 2 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atq when three letters picked without replacement from ajadtjpjdqjja?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8927964 to the nearest integer?\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*q**2 - 100*q + 2491 with respect to q.\nAnswer: -26*q - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 0)*99\/(-15). Suppose 29*o - 32*o + 4*p + 118 = 0, 0 = -3*p - 12. Let q = o - b. Solve j - 3 = -q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96843.18l in millilitres?\nAnswer: 96843180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose 2*m = -6 - 10. Let s = 8 + m. Solve f = 2*z - s - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1106*a**4*o**3 - 87*a**3*o**2 - 14*a**2*o**3 + 3266*a*o**3 + 5*o**3 wrt a.\nAnswer: -26544*a*o**3 - 522*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*4\/(-8) + 3. Suppose 0 = -b*z + 42 - 17, 2*x + 4*z = 3978. Let f = 4392 - x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021023 (base 4) to base 11.\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12798226?\nAnswer: 2, 7, 31, 37, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 61. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1066, -2020, -2974, -3928, -4882, -5836?\nAnswer: -6790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 p when three letters picked without replacement from {i: 3, r: 3, e: 5, p: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33607189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - 4 - 13 - -6. Suppose g - 12 = 10. What is the smallest common multiple of (3 - 13)\/2*b\/1 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 97. Calculate p(53).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1, -29 in descending order.\nAnswer: 4, 3, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 - 1001111?\nAnswer: -10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5519625 + 4*c**2 - 5*c**2 - 5519511 + 3*c**2. Let n(k) = -25*k**2. Give j(n(b)).\nAnswer: 1250*b**4 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*w - 64, 0 = -4*v - v + 4*w + 331. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 395, -3, 453, -10 in ascending order.\nAnswer: -10, -3, 2, 395, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2373 and 4068?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*-3*(1 - 0). Let p be 5\/2*(-12)\/(-10). Suppose 0 = p*c - 15, 2*f - c + 0 = 3. Solve 6*q - q = -f*l + 2, b*l = 2*q - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 3 - 3)*(-151*k + 26*k - 73*k)*(-2*k - 2*k + 2*k).\nAnswer: -2376*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/1470)\/(42\/210).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (90\/2)\/5*1. Solve 0 = r + 3*u - s - 4, 5*r - 4*u = -30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -16, 0, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*o + r, -o + 6 = 4*r - 12. What is the least common multiple of 4 and (1 - -3) + (0 - o - -7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 785*z - 788*z + 5*j - 27, z + 3*j = 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011939.743 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872)*4*5)**2 + sqrt(1872))*3 - (2*(sqrt(1872) - sqrt(1872)*2) + 0 + sqrt(1872)*-2))*-4.\nAnswer: -8985600 - 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 5) to base 7\nAnswer: -1553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - 360. Let k = b + 88. What is k rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - sqrt(91)*2 - sqrt(91))*-2 - (sqrt(91) - sqrt(91)*-2*-3))\/((-2*sqrt(63))\/sqrt(9) + 2*sqrt(63))*4.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067 a factor of 630257238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134746 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(-1*(-4 + 5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - (-2 + 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03136691 to 3 decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6081 or -6068?\nAnswer: -6081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5921 by -1382.\nAnswer: 5921\/1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35140609811 + -35140609508.99998454. Let c = f - 302. Round c to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 9. Let d(v) = -v + 2. Let g = 21 - 12. Suppose -5*n = 3*c + 2*c - 10, -2*c - 4*n = -4. Determine c*x(m) + g*d(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-10)*(-14)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192966.7 - -190191.722. Let u = t + 2778. Let v = -0.078 - u. What is v rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 72 = -7*z. Let w = -34 - z. Let y(t) = 6*t**2 - 6*t**w + t**2. Let d(r) = 18*r**2. What is d(y(j))?\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) -3 (c) -0.2 (d) -2\/11 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4057 divide 2752177436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:44 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22 - -32)\/(1 + (-6)\/10). Find the third derivative of d*f**4 + 8*f**4 + 45 + 25*f**2 - 45 wrt f.\nAnswer: 792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 325, 1, -3, 14, -10 in increasing order.\nAnswer: -145, -10, -3, 1, 14, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26398592*l**3*t - 262368*l**2*t - 18*l**2 wrt l.\nAnswer: -158391552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -265 + 264.999999096. What is d rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(10)\/sqrt(5) + sqrt(2)))\/(sqrt(25)\/sqrt(80)) + 3.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 503168 or 503165?\nAnswer: 503165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -5, 7, -1, 16370 in decreasing order.\nAnswer: 16370, 7, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1160400 divided by 232080.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a century?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.4, -9268?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/10 + 13*r**3\/6 - 15*r**2. Differentiate o(x) with respect to x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/900 and -161\/150.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.5. Suppose 6*k - 5*k = 0. Which is the closest to k? (a) 1 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 - 6 - 5*c + 2*c**3 - 5*c**2 + 0*c**3. Let q be r(-4). Let k(m) be the first derivative of -m**4\/4 + 2*m**3\/3 - 2*m + 18. Calculate k(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1036951+0.619652\nAnswer: 1036951.619652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4843924963.\nAnswer: 4843924963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83280972 divided by 6?\nAnswer: 13880162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 175140 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65629011 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209440?\nAnswer: 2, 5, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*o**2 + 2 + 50*o**2 - 27*o**2 - 39*o)*(0 - 2*o**2 + 0).\nAnswer: -2*o**4 + 78*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {q: 1, m: 1, v: 2, s: 1, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4*f**2 - 2*f + 4. Let y be g(4). What are the prime factors of (-13)\/52 + (-133)\/y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**7\/2520 - t**6\/180 + t**5\/30 - t**2. Let s(z) be the third derivative of i(z). Differentiate s(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9\/7, 2.7, 0.2, -1, -0.031.\nAnswer: -9\/7, -1, -0.031, 0.2, 2.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*a**3 - 125 + 125 - 1297*a**2 + 1301*a**2.\nAnswer: 80*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 2. Let q be z(-2). Suppose a = 2*a - o + 1, q = 2*o. What is the second biggest value in a, 3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7365821 is divided by 745.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 760.5 - 758. Sort c, 5, -4\/5 in descending order.\nAnswer: 5, c, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-4)\/(68\/(-1)). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2676 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) + (-46)\/(-6). Let v(i) = 10*i**2 - 5*i - 2. Let c be v(-4). Let r = -122 + c. Calculate the highest common factor of a and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*((-5 - -975) + -3)?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10.3. Let y = -17.2 + 16. Let p = y + 1. Put o, p, 0.4 in descending order.\nAnswer: 0.4, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1143 and 35442.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32445 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/(-7280)*-20)\/((-4)\/48).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-j - j + 0*j)*(-6*j - 3 + 3) + (2 + 0 + 1)*(-3*j**2 + 2*j**2 + 2*j**2))*(2*j - 3*j + 0*j) to u*j + p*j**2 + k + m*j**3 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1421*i**2. Let j(x) = -160*x**2. What is a(j(h))?\nAnswer: -36377600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-783)\/58 - -13)*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4, 3*g = 6*g + n - 4597. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 2 + 19*s**2 + s + 6*s**2 + 3*s. Let t = -459 + 458. Calculate the lowest common multiple of g(t) and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-2 + sqrt(891) + -2))**2 + (-3 + sqrt(891) + 2 - sqrt(891) - (1 + sqrt(891) + -2))**2)*3 + 0.\nAnswer: -7776*sqrt(11) + 100629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 380061400 rounded to the nearest one million?\nAnswer: 380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2 + 11052534*c + 66315096 = 0.\nAnswer: -3684172, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1159409713622 - 13.\nAnswer: 1159409713609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**4*z**2 + 6*d**2*z**2 - 4*d*z + 2*z**2 + 48 wrt d.\nAnswer: -8*d**3*z**2 + 12*d*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 88*r**3\/3 - 184*r**2\/3 + 352*r\/3 + 240.\nAnswer: (r - 90)*(r - 2)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(2966 + -236) + (-4)\/(-30).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -4, 3, -7139 in increasing order.\nAnswer: -7139, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80154 is divided by 53?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 18*a**2 - 14*a + 47. Suppose t = -4*i + 7*i - 47, 4*i - 4*t = 52. Let v be f(i). What is the highest common divisor of v and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4156684 and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) 60 (c) 3 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 590 = 8*b. Let h = b - -62. Calculate the greatest common divisor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 86, 227, 558, 1175, 2174, 3651?\n\"Answer: 16*d**3 - d**2 + 32*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1216 by 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5\/8 - 859*u**4\/8 + 379*u**3\/2 + 595*u**2\/2 = 0. What is u?\nAnswer: -1, 0, 14\/5, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 106246426 (base 7) to base 10\nAnswer: 6516187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63bde4 (base 15) to base 4.\nAnswer: 102013101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 51*i - 4497. Is 10 a factor of d(-125)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141105504 + 332?\nAnswer: 141110240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*z - 2. Let u(j) = 15*j**2 + 5*j - 7. What is the tens digit of u(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 3 - 53 + 75*i + 6 + 11 to y*i + b and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -4\/33*s**3 + 1\/66*s**4 + 4\/11*s**2 + 3*s + 0. Let r(i) = 0. Calculate i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 17*g + 10*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.34 (c) -13\/3872\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 6*i**2 + 2*i**2 + 0*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882 and 273042?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 222212010?\nAnswer: 222212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*j*s**3*y + 197*j*s**3 + j*s**2 - 15*j*s - 2*j + 32*s*y + 4*y wrt s.\nAnswer: 66*j*s*y + 1182*j*s + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = -w - 8*n, 2 = n. Let v(y) be the third derivative of 0*y + w - 1\/3*y**3 + 1\/15*y**6 + 0*y**5 + 0*y**4 + 2*y**2. Differentiate v(b) wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125641790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - 3.7. Let j = 13 + -19.4. Let y = u - j. Round y to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -7 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -107, -246, -441, -692?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1656)\/(-184) - (-2)\/(-4)*-62\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -21) + (-4 - -1). Solve 3*h - y = -5*j + 4, 2 = j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14 - 2*b - 3*b + 7*b. Let g be c(8). Suppose -g*z + 6*z - 308 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 73748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkkb when four letters picked without replacement from kkkbbbkbbbkbbkbk?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8995 - 8205. Calculate the greatest common factor of s and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/8 - 6111*y\/8 + 6099\/2.\nAnswer: 3*(y - 2033)*(y - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(162) + sqrt(162)*1)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**4\/24 + 7*r**3\/3 + 2*r**2. Suppose -2*g + 5*f - 40 = -15, 2*f = -4*g + 10. Is w(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - a - 75, -55 = 2*j - 7*a + 4*a. Let b = 24 + j. Solve -b*n - n + 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43999*o**2 - 47610 wrt o?\nAnswer: -87998*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.1, -0.23588, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*p - 78*p + 97 + 40*p + 125 to the form l + n*p and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 65, 90, 109, 116, 105, 70?\n\"Answer: -v**3 + 6*v**2 + 14*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 1. Suppose -48*h - 3 = -97*h + 50*h. Let m(p) = 1. Determine h*w(y) - 2*m(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278890636.\nAnswer: 2, 3, 11, 181, 95383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*f - f + 2*p, 5*f - 74 = -2*p. Let q be (f\/20)\/(2\/5). Suppose -a - 16 = -5*y, q*a + 2 = -0*a. Solve -7 = 4*t - y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3))**(-47)*m**(1\/10)\/(m**(-1\/18)*m*m) assuming m is positive.\nAnswer: m**(-788\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26719?\nAnswer: 7, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and 275324776.\nAnswer: 275324791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 1. Let q(t) = 2*t + 2. Let l(u) = 3*q(u) + 7*r(u). What is the units digit of l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 7 = -29. Suppose -r = -4*n + v, 0*n = 5*n - 5*r. Solve -5 = -4*a - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -13*r + 113. What is a(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/5, 0.88, 0.2.\nAnswer: -2\/5, 0.2, 0.4, 0.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16003, 31759, 47515?\nAnswer: 63271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 5*n - 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 129?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(6\/126*2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 494 - 492. Suppose -11*r - 9 = -12*r - 2*f, -5*f = s*r - 21. Solve 4*z = a - 2 - 19, 0 = r*z + a + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 371 or 5558\/15?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*q + 19, 4*q - 3 = -2*k + 13. Suppose 3*m = -j + 119, -5*m - k*j = -9*m + 142. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072402509.\nAnswer: 2072402509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 2) + 2*-1. Let j(t) = 62*t + 1. Let o be j(c). Let p be (-8)\/(-6)*405\/60*1. What is the highest common divisor of o and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 598155, 1193835, 1789515?\nAnswer: 2385195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202110222300 (base 4) to base 11.\nAnswer: 5095aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -147, 149, 445, 741?\n\"Answer: 296*n - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32495.09 kilograms?\nAnswer: 32495090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131.187 - 131. Let m = -0.18699857 + n. What is m rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5 - 75*b**4 - 1448*b**3 - 3696*b**2 = 0.\nAnswer: -44, -28, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(50\/(-4)))\/(-23*16\/(-23920))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 24*q + 21. Suppose v - 780 = -11*v. Suppose -63*k = -v*k + 58. What is the units digit of x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-21) + 2)\/(5\/(-35)*10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27241*b - 27216*b - 450. Solve 11*j + b = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1320 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5194 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -2\/5, -7\/2, 10, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - q + 54, -2*q - 6 - 16 = -3*t. Let r = t + -2. Calculate the remainder when 13 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 621 and 8955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, m: 4, y: 5}. What is prob of sequence by?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 200 + 2 - ((-15)\/(-3) + -4). Let t = 310 - v. What are the prime factors of t?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.3, 0, -647\/12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 32, 47, 66, 89, 116?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 79. Let t be 1 + 0 + y + -51 + 52. Let b(f) = f**3 + f. Let v(p) = 4*p**3 + 3*p**2 + 7*p. What is t*v(s) + 6*b(s)?\nAnswer: 2*s**3 - 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18511044 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2*y**2 + 1050*t**2*y + 68134*t**2 - 12*t - 10*y**2 + 1 wrt y.\nAnswer: 2*t**2*y + 1050*t**2 - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.668671 litres to millilitres.\nAnswer: 668.671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -3 - 127\/25. What is the second biggest value in -3, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 + 10*v + 7. Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3*y**2 + y + 2. Suppose -5*x + 2*c + c - 20 = 0, 4*x - 2*c = -16. Let i be j(x). Solve 5*a + 6 + i = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven eighths of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/60 + i**3\/2 + 3*i. Let m(l) be the second derivative of z(l). Let r(f) = -3*f. Determine m(r(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 1. Let w be c(2). Let r = -55 - 92. Let i = -145 - r. Solve w - 1 = -i*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 1. Let c be k*(-2 - 2)\/8. Which is greater: -17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2077 and 685276.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -1\/25, 2?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 113 - -72?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Find the third derivative of -2*c + c**2 + 2*c + 3*c**a wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 64. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70.7 or -0.06704?\nAnswer: 70.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16.5648 and -103.72?\nAnswer: 87.1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/21109 and 17\/355015?\nAnswer: 3905165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 3. Let t be b(-2). Let n(g) = -2*g**2 - 2*g - 4. Let p be n(t). Round p to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 - t + 8. Let q be g(4). Suppose -3*x + q*x - 131 = -3*c, -x = -c - 135. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 16*u**4 + 59*u**3\/3 + 84. Find the third derivative of a(d) wrt d.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 85937*g. Let z(y) = 463*y - 2. Determine p(z(x)).\nAnswer: 39788831*x - 171874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*t - 3*f, 4*f + 4 = -3*t + 2*t. Let g = 4 + t. Suppose g = d + 2*d - 96. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 32*j - 56 = 0 for j.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26715 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 90*r + 90. Give x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 13 + 17. Suppose l*p - p - 789867 = 0. Suppose v - p = 38237. What is v rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6248 and -107\/8471720.\nAnswer: 93188920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) 0.3 (c) -4 (d) 0.1 (e) 2\/7 (f) 381151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9544475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 34*v**3 + 12*v**2 - 10*v - 3. Does 3 divide a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 10:42 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 37 + 326 = 0. Let j = g - -128. Let o(s) = s**2 + 8*s - 23. Let y be o(-13). What is the greatest common divisor of j and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1049702 divided by -7.\nAnswer: 1049702\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25483 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: Suppose 2*l - 4 = l. Calculate the lowest common multiple of l and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 477.41 - 9.41. Is -22 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046380513 to 4 dps.\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -19. Suppose x*d + c = -20, -2*d + c = d + 22. Let b(y) = -y**2 - 12*y - 13. Is 8 a factor of b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104 in -3.4, 41, -0.2?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25924143.\nAnswer: 3, 7, 433, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9 = -39. Suppose -4 = s*o - 9*o. Let r(i) = i - 3. Let c be r(0). Sort 5, c, o in decreasing order.\nAnswer: 5, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 49737, 5 in increasing order.\nAnswer: -1, 5, 49737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139115761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101000 (base 2) in base 15?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + j - 896. Let t = j - -131. Suppose 108 = f - 2*v - 28, -t*f + v = -413. What is the remainder when f is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -2236.\nAnswer: 670.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -553.7098 * 0.5.\nAnswer: -276.8549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*2 + sqrt(10))\/(-3*sqrt(50))*-3*-5.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 - 3*z. Calculate n(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244238434 to the power of 1\/2, to the nearest integer?\nAnswer: 15628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2262, -2118, -1882, -1506, -942, -142?\n\"Answer: 8*b**3 - 2*b**2 + 94*b - 2362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktkt when four letters picked without replacement from {t: 4, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26*(-16)\/64*2\/1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + a + 1. Let y(s) = -98*s**3 - 339*s**2 + 213*s - 35. Let z(v) = 6*j(v) + 2*y(v). Factor z(t).\nAnswer: -4*(t + 4)*(7*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139893010 is divided by 388?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 79*s + 626. Determine l(-37).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453929 + 2486279 = 102*c - 633828. List the prime factors of c.\nAnswer: 3, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (770 - 4) + 0 + 5. Let i = 1552 - o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/93 + 64\/93. Let z = -3.8 + 4. What is the nearest to j in 5, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 37920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 18460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6164)\/(-3))\/(-4) + 132\/198. Let c = 528 + a. Suppose 0 = -z + 4*z - 162. What is the remainder when z is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 - 4*a**2 + 2*a**2 + 2*a**2 - 5*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 26*n**7\/105 - 5*n**3\/3 - 44*n**2. Find the first derivative of y(v) wrt v.\nAnswer: 208*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkkkkkk. Give prob of picking 1 k and 1 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1166657*j - 29. Let r(k) = -k**3 - 20*k**2 - k - 17. Let m be r(-20). Let t be o(m). What is t rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 3*l - 2. Let x be a(4). Let w = 122 - x. Calculate the greatest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91.1524 litres?\nAnswer: 91152.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30302*h**2 + 30301*h**2 + 14*h**3 + 30302*h**2 + 30297*h**2 - 151508*h**2 + 30306*h**2.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:34 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 3*k + 5*k - 3*k + k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (324\/216)\/((-2)\/(-12)*3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 69 = 44, -r + 2*h = -29. Calculate the remainder when 45 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1.73, -1, -0.4, -0.1 in increasing order.\nAnswer: -1.73, -1, -2\/3, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228863?\nAnswer: 79, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -9*p - 7. Solve 0 = 4*t - 5*g - 5 - 20, 0 = -p*t + g + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/857? (a) -0.061 (b) 5 (c) -3\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*r = -35, -2*l - l + 4*r + 20 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 5*j = 27. Suppose -j - 9 = -r. Suppose -42 - r = -c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:16 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.8 and 15.13861451.\nAnswer: 14.33861451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*y, -4*y + 3 = 2*q - 3*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 10*c - 5*c + 10 - 7*c as p + t*c and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/8166 and 6\/7?\nAnswer: 57162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963*t + 191*t - 507*t = 800*t - 97713 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 + 2.2. Let i = -1464\/7 - -209. What is the closest to 2 in i, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*n - 4, -2*n - 2 = -4*n. Find the first derivative of 50*v + c + 2*v**3 + 18*v + 86 wrt v.\nAnswer: 6*v**2 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 56 (b) 0.02 (c) 0 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 15*d. Let f(r) = -33*r**2 - 15*r - 2. Let m(i) = -67*i**2 - 25*i - 3. Let a(k) = 5*f(k) - 3*m(k). What is g(a(w))?\nAnswer: 540*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58136292 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74776886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*i**3 - 94*i**2 + 45*i**2 + 84*i**3 + 50*i**2.\nAnswer: 285*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 5:51 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17290)\/(-78))\/(-35)*-3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -125*g**6\/2 - 3600*g**5 - 86400*g**4 - 1105920*g**3 - 7962624*g**2 + g + 485. Factor w(u).\nAnswer: -3*(5*u + 48)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 37 = -8*b. Solve -b = -2*g + 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6876 - 6876 - 1696*c**2.\nAnswer: -1696*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*20\/(-450))\/((-16)\/(-5))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8624 + 8629. Solve 2*m = -2*k + 6, -p*k + 6 - 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5690002 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, g: 6, b: 1, d: 7}. What is prob of sequence bdld?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97318 (base 14) to base 4.\nAnswer: -1121033322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**3 - 7*y**2 - 5*y - 6. Let r(z) = -5*z**3 + 5*z**2 + 5. Let d(o) = -3*o**3 + 3*o**2 + 3. Let m(c) = -8*d(c) + 5*r(c). Give -6*m(b) - t(b).\nAnswer: -b**3 + b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - k - 3*k)*((-3 + 2 + 3)*(-27 - 1 - 10) + (1 - 3 + 4)*(-3 - 4 + 6)).\nAnswer: 78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3*(-2)\/9). Let z = o + 11. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-4 + -12 - 22 - -34)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 plus 1223189?\nAnswer: 1222904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 608 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5222646343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (70\/(-4))\/(2\/(-4)). Let g(p) = -p**3 + 37*p**2 - 73*p + 104. Let y be g(x). Let s be (-748)\/(-250) + -2 - 1. Is s greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.32, -0.04, 2 in ascending order.\nAnswer: -0.32, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -351 + 605. Is 35 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -21) + 5 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(108) + sqrt(27))\/sqrt(9) + -1*sqrt(3)*2) + -1)**2 + -6*-1*sqrt(108)*5*-2.\nAnswer: -364*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -28181205 divided by 1878747\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.381?\nAnswer: 0.1143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 17. Let j be -3 + (o\/4 - -9). Suppose 3*g - 15 = 0, -j*g + 375 = -z + 3*z. What is the greatest common factor of z and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**8\/28 - 8*l**7\/21 + 4*l**6\/5 + 2*l**5\/3 - 9*l**4\/2 + 20*l**3\/3 + 5*l**2. Find h such that n(h) = 0.\nAnswer: -1, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1584 times 26\nAnswer: 41184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = 9787 - 9937 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -691439 divided by -137.\nAnswer: 5047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476849391*h**3 + 1538519*h - 113.\nAnswer: -2861096346*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 55 = -4*w - 8. Solve -3 = j + 2*m, 2*j - 11 = w*j - 6*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2616 - -10515\/4. Calculate the common denominator of h and 59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.04?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2302100123 + 100002?\nAnswer: -2302000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6\/11, -2408, -5, -12, -2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 - 0.07. Let d = -1 + h. Which is smaller: -4\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 410 - 52. Is 61 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 605522 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u**3 + 23*u**2 - 41*u + 38*u + 5*u**3 + u**3 to the form b*u**2 + p + x*u + s*u**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5665 + -5545. What is the least common multiple of 84 and t?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - u**2 - u - 2. Let k be r(0). Let o(d) = d**2 - 12*d + 4. What is the lowest common multiple of 3 + k + (1 - 0) and o(16)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z**3 + 109*z**2 - 298*z + 538. Calculate o(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244)\/17 + -115 + 53 + 76.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(800) + -1 + (sqrt(450) + sqrt(50))*2 + sqrt(50))**2.\nAnswer: -130*sqrt(2) + 8447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*k - 477*k + 39*k + 163*k - 657*k to s*k + u and give s.\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106.85 + -420.15. Is 2\/3 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -4. Let a = x + 66. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 29*a**4\/4 + 21*a**2\/2 + 38. Find the second derivative of z(g) wrt g.\nAnswer: 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 21 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.38804385 + 22.78806165. Let b = m - 20.4. What is b rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/65239960 and 10\/69.\nAnswer: 195719880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.474800949 rounded to five decimal places?\nAnswer: 0.4748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -100 - 3*r**2 - 101 - 4*r + r**3 + 203. Let k be v(4). Solve 0 = -k*x + 5*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 8194870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4) - 1\/4. Let l be 897\/(-24) - 0\/1. Let m = l - -37. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157*v**3 + 157*v**3 - 432*v**5 - 367*v**5 + 12*v**5 + (7*v**3 - 2*v**3 + 0*v**3)*(7*v**2 - 3*v**2 + 9*v**2).\nAnswer: -722*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6242885 + -93551984\/15. Let y = v - 6083. What is the common denominator of 53\/57 and y?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2258*r. Let v(g) = -37*g + 20. Let k(z) = 11*z - 6. Let p(x) = -10*k(x) - 3*v(x). What is p(u(q))?\nAnswer: -2258*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/3, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7917 and 10738.\nAnswer: 934206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + -2 + -48 + 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17548138.\nAnswer: 2, 37, 237137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16418160 and 18242400?\nAnswer: 164181600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1979 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 3248410.\nAnswer: -974523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 991 - 990.93. Let s = 81 - 727\/9. Which is the nearest to -1\/2? (a) s (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 8*t + 5. Let k be o(-9). Let s(z) = z**3 + 6*z**2 - 3. What is the remainder when s(k) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -2 (c) -4\/9 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7485390 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 4*l - l - 6 - 4*l.\nAnswer: -2*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 159*k**2. Let z(a) = 28*a**2 + 14*a + 21. Let x(p) = -9*p**2 - 4*p - 6. Let y(g) = 7*x(g) + 2*z(g). What is i(y(m))?\nAnswer: 7791*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 537\/8 + -67. Let u = 1.28 + 52.72. Let h = -53.8 + u. What is the second biggest value in h, g, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5450 or -2\/121?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 121073*b - 121143. Give k(1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.29 to 1 dp.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3 - 2\/12)*(2 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-2) + (0 - -2). Suppose -39 = -d*g + 63. Solve 3*s - g = v - 4, 4 = -4*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -329*w - 919 - 1713 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000560176 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**36\/(z\/z**(-14)*z\/z**(-16)) assuming z is positive.\nAnswer: z**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - 6*g - 6. Let w be f(9). Suppose -14*j + w = -8*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/163032240 and 41\/3710?\nAnswer: 163032240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336.4637 milligrams to grams.\nAnswer: 0.3364637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 16. Let q be c(-13). Suppose 5*x = -4*f + 500, q*x + f - 152 = 148. Suppose 12*r - 676 + x = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.6 and -0.16?\nAnswer: -2.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**3*g*p**2 + 3*c**3*g - 13*c**3*p**3 - 2*c**2*g*p**3 - 27*c**2*p**2 + c*p + g*p**2 + 42*p**3 wrt p.\nAnswer: -78*c**3 - 12*c**2*g + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60\/(2\/(-9)*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 2735 = -642. Let t(j) = j**3 - 7*j**2 + 3*j - 8. Let i be t(7). Calculate the greatest common divisor of f and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 618*p\/13 - 620\/13.\nAnswer: 2*(p - 310)*(p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 151448203.8 rounded to the nearest one hundred thousand?\nAnswer: 151400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5847251, 11694540, 17541829, 23389118?\nAnswer: 29236407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2327?\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-29)\/10 - 158\/(-30). Which is the fifth biggest value? (a) -2 (b) l (c) -3 (d) 0.3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4705, -9397, -14089, -18781, -23473, -28165?\nAnswer: -32857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76638, 76645, 76650, 76653, 76654, 76653, 76650?\nAnswer: 76645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 0*c**2 + 0*c**2. Let b(o) = -29*o - 35*o - 5*o + 66*o. Determine b(u(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/5)\/((-2)\/(-15)). Let d(i) = -5*i - f*i + 2*i. Let g = 3060 - 3061. Calculate d(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -5 - (-1)\/(-1). What is the second smallest value in h, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146565000 rounded to the nearest 1000000?\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13575313 + 0?\nAnswer: 13575313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 + 3 = w, 0 = -5*b - 5*w - 10. Suppose -2*q = -b - 1. Suppose -q*k + s + 16 = -3*s, 4*k - 57 = 3*s. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 10) in base 2?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/(-21))\/((-18)\/378*6))\/((-45)\/(-342))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*o**4 - 6*o**3 - 1257*o**2 wrt o.\nAnswer: -1128*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -521*b - 1298. Let h be (-2)\/4 - 11\/(-18). What is the closest to -2\/3 in b, h, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**7\/8820 + f**6\/1260 - f**5\/420 + f**4\/2 + 6*f. Let y(q) be the third derivative of d(q). Factor y(g).\nAnswer: -2*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c**2 + 3. Let y be h(0). Suppose -l - 8 = l + y*i, 4*l - 5*i - 28 = 0. Put -8, l, 1 in decreasing order.\nAnswer: l, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28044 + 448703\/16. Let p be 3\/(-12) + 6\/(-8). Sort p, -1\/6, c, -2.\nAnswer: -2, p, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j**(3\/4)*((j*(j*j*j**(2\/5))\/j)\/j)**7)\/((j\/j**(-1))**31*(j\/((j**(-2\/5)*j*j)\/j*j*j*j))**(1\/3)) assuming j is positive.\nAnswer: j**(-599\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 times -363\nAnswer: 1560.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4762*g**2 - 14312*g**2 + 162 + 4798*g**2 + 4751*g**2.\nAnswer: -g**2 + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.00925 millimeters in centimeters?\nAnswer: 5.900925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 11*b**3 - 23)*(3*b + b - 3*b) + (-4 + 4 - 2*b)*(0*b**2 - 3*b**3 + 0*b**2) + 15*b**3 - 15*b**3 + 6*b**4.\nAnswer: 23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23312652 + 3?\nAnswer: 23312655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2. Let i(m) be the third derivative of -m**6\/60 - 2*m**3\/3 - 4*m**2. Let s(c) be the first derivative of i(c). Determine s(u(j)).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 + 43a88?\nAnswer: 43acd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -889.212855 rounded to the nearest ten?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 5*y + 14, y = 4*m - y - 10. Let v be (m - 3)\/(-3) + -36. Let s = v + 36. Solve 4*x + 2*b + 14 = s, -4*x + 3*x + 4*b = -10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84505215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -59*t**3\/2 + 237*t**2\/2 - 120*t + 2 = 0.\nAnswer: 1\/59, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 396552951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*a**4 - 12*a**3 - 15680.\nAnswer: -252*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 22 - 36 + 6*q + 5. Let w be c(-14). Let k = w - -96. Solve -3*m + 4*a = m + 32, -2*m = 3*a + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**4 + 2*s**3\/3 - s**2 - 47. Let u(d) = 15*d**3 - 9*d**2 + 9*d. Calculate 9*o(z) + 2*u(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 0*v**3 - v - 9\/4*v**4 + 1 + 0*v**2. List the prime factors of h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 94 = 2*v, -8 = 2*v + 2*v. What is the remainder when 87 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2719 - 854 - 1865 + 60*k.\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let k = 5.8 - 0.8. Let f = -3.6 - -3.8. Which is the third smallest value? (a) r (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-2*g + 0*g + 0*g) - 853*g - 2464*g - 2108*g - 800*g - 1572*g as k + i*g and give i.\nAnswer: -7801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6697 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -13522?\nAnswer: -27044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 16*d**2 - 3*d + 9. Let n(a) = 17*a**2 - 4*a + 6. Give 2*m(b) - 3*n(b).\nAnswer: -19*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 183871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -c204 (base 13) in base 14?\nAnswer: -9a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 231?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32370582?\nAnswer: 2, 3, 5395097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6721 - -6876. What is the remainder when 735 is divided by w?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 28. Sort -5\/3, -2, h.\nAnswer: h, -2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 2*r**4 + 4*r**2 - 2. Find the second derivative of a(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*z = -19, 13 - 42 = -2*c - 5*z. Solve -5*i + 5*m + 20 = 0, -c = -2*i - 2*m - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**2 + 7*i - 16. Let f(x) = -4*x**2 + 2*x - 5. What is -7*f(j) + 2*n(j)?\nAnswer: 6*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150 + -125.3. Let m = 28.7 - d. Which is the second smallest value? (a) m (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8297 + 36100. What are the prime factors of b?\nAnswer: 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 35 = 27*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -52*t. Let m(p) = 65*p**2. Determine f(m(v)).\nAnswer: -3380*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 2:59 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*o*t + 7770*a*o*y**3 + 2*a*t*y**2 - 2*a*y**2 - 57*o*t*y**3 wrt t.\nAnswer: 3*a*o + 2*a*y**2 - 57*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 g when three letters picked without replacement from {s: 13, g: 3, v: 1}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 6*z**2 + 9*z - 1. Let r be y(-7). Let k be 1 + -3 + (5 - r). What is the second derivative of 4*v**5 + 10*v**5 + 3*v**5 + 8*v - k*v wrt v?\nAnswer: 340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0155 + -0.1845. Let h = 2 + -1. Let l = h + -0.8. What is the smallest value in -3, q, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - 34\/(-6). Suppose -6*f + f + r = 0. Let a be 157\/4 + f\/(-4). What is a rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*p - 702*p + 509 + 175 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/65, -0.2, -4, 0.95?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3649635 and 12735.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*w + 964*p - 963*p - 15, 6*p = -5*w + 75 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*q + 963*q - 1957 = 349*q + 682 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.4 - 15.6. Let s = -9.257 - f. Round s to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 16*o**2 + 148*o + 160 = 0?\nAnswer: -8, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 554.9571 weeks?\nAnswer: 335638054080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/375 - (-306)\/75. Let j(h) = -12*h + 53. Let a be j(k). Let b be 1\/(-3)*(-6)\/1. Solve 0 = 4*f - a*n - 9, -b*f + 5*f = -5*n - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s**3 + 6*s + 9. Let d = -64906 - -64913. Let l(r) be the third derivative of 3*r**6\/40 - 7*r**4\/24 - 5*r**3\/3 + r**2. Determine d*g(m) + 6*l(m).\nAnswer: -2*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 193335 in descending order.\nAnswer: 193335, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*x + x**3 + 14*x**2 - 2*x**2 - 13*x**2 - 1 - 58*x - 99*x to d + j*x**3 + k*x**2 + h*x and give h.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09628 and 4?\nAnswer: 0.38512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 597 by -199.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 60*w - 727. What is a(19)?\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 4) to base 11.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/7 + (-3 - -17). Suppose -n - n = 5*q - 80, -8 = -2*q + 4*n. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + g - 16, -13 = -3*v + 5*g + 19. Suppose -z + 2*c = 2*z - 79, 3*c - 111 = -v*z. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161\/27 or 5?\nAnswer: 161\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47864334 and 18354.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 23*l**2 + 3 + 14 - 34 in the form k*l**2 + v*l + b and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18510922 + 1?\nAnswer: 18510923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -21) + 5 - (195 + -133)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d**3 + 39*d**2 + 15*d - 359. Let w(m) = 11*m**3 + 38*m**2 + 12*m - 360. Let l(y) = 5*w(y) - 4*x(y). What is the derivative of l(f) wrt f?\nAnswer: -3*f**2 + 68*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, f: 1}. Give prob of picking 1 m and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 9*r**2 - r + 13. Let t be f(9). Suppose w + 3*j - 1 = 0, 3*w - j - t*j = 17. Let y(h) = h**2 - 6*h + 3. What is y(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*12\/2. Suppose -7 = 4*s + 13. Suppose -17*d + 201 = 201. Sort d, q, s in descending order.\nAnswer: q, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 6*l**2 - 6*l + 4. Let j be d(-5). Let s = 5 - j. Let x be (26\/4)\/((-2)\/s). Solve 0 = -4*o + 5*u - x - 9, -3*o = -u + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102821 and -0.712?\nAnswer: -73208.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13609856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - q - q)*(3*q + 3*q - 7*q)*(5 - 3 - 4) + 0*q**2 - 5*q**2 + 6*q**2 as c*q**2 + a + f*q and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, k: 5, y: 6, h: 2, t: 2}. What is prob of sequence ykyk?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 63*w - 39, -2*z = 190*w - 194*w - 20 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -4 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*j - 70, 5*j + 138 = -2*x + 25. Let k = j + 51. Suppose k = 2*m + 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v - 2*v + 3*v**3 + 26*v - 3*v**2 - 10*v to the form z*v**2 + u*v + k + g*v**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5 - 297180*z**4 + 55183224*z**3 - 3419453264*z**2 + 70648999008*z = 0.\nAnswer: 0, 62, 74109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 587397 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 134847, 134630, 134275, 133788, 133175?\n\"Answer: n**3 - 75*n**2 + n + 134920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h + 42 = 2*d, -3*h = -d - 29. Suppose -3*j + h = 2*j. Let k be j\/(-20)*-5*4. Solve -k = -y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/18 + 320\/2. What is the greatest common divisor of w and 5772?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/10))**(-18\/13)\/((z\/z**(-5))\/(z**14*z)))**(-34) assuming z is positive.\nAnswer: z**(-19584\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 - -202. What is the second biggest value in -2\/3, 1, w, 21\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -38, 0, 9 in ascending order.\nAnswer: -38, -3, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31572 and 56142.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 0.24. Let w be -3 + (-4)\/(-6)*3. Which is the closest to 0.1? (a) 1 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 69*j + 118. Determine r(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 1. Let b = -30 - -34. Find the second derivative of -2*g + 1 - v + g**b wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 19*r - 5. What is o(15)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 54*p**2 - 243.\nAnswer: -3*(p - 3)**2*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d*j*k*w**2 + 2*d*j*w**2 + 49*d*j*w + d*k*w + 35*j*k*w + j*w**2 wrt k.\nAnswer: 7*d*j*w**2 + d*w + 35*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -2. Let l be (0 - -1)\/(r\/(-10)). Solve -4*i - 25 = -g + 4*g, -l*g - 27 = 3*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 - 5*n**3 + 0*n**3)*(163 + 129 - 50) to the form x*n**2 + d + l*n + i*n**3 and give i.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 7*r + 5. Let l(d) = 3*d**2 - 15*d + 9. Let q(y) = -5*g(y) + 2*l(y). Let v = 5 - 13. What is the tens digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -836*b*d**2 - 5*b*d + 72 wrt d.\nAnswer: -1672*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1 = -4*m - 14, 10 = -2*j - 2*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + 4\/(-6). Suppose -o + 9 = -g, 4*o + 3*g - 13 = -o. Let q be 2\/5 + o\/(-25). Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)\/(u**(-1)\/u))\/(u*u*u*u\/u**0*u*u**(-2\/23)))\/((u**(-2\/13))**(-7))**9 assuming u is positive.\nAnswer: u**(-4965\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1704909213 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -0.3, -12\/41, 0 in descending order.\nAnswer: 4\/3, 0, -12\/41, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 149*d**2 - 12542*d + 189. What is r(60)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.046 - 0.054. Let a = -0.1 - 3.9. Which is bigger: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2391.\nAnswer: 7173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22*4*(-1 - 2)*(-48)\/(-576)*1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26904864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5 + (0 - 252\/15). Let x be 5 + (2 - 1340\/(-25)). Let f = x + -61. Which is greater: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*v - 6263465 = -6263427, 156 = -5*u - 3*v for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -295 + 4127\/14. Find the common denominator of s and ((-369)\/(-12))\/(10\/(-4)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*s + 25756, 12*o - 14*o = s - 12878. List the prime factors of o.\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/36*4\/12)\/(3*28\/18)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/5 + 12*b**3 + 234*b**2\/5 - 132*b + 363\/5.\nAnswer: 3*(b - 1)**2*(b + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -4 + (2 - 0). Suppose -5*j + 85 = -2*o, -j - j + 28 = -v*o. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6032\/64 + (-1)\/4. Let t = l - 73. What is the units digit of ((-707)\/t*3)\/(1\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 8*u**2 + 16*u + 11. Let d be h(-5). Solve 0 = -2*c - d*c - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510 + 2*k**2 + 510.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -2\/7 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/2 - s**4\/2 - s**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 9*i**2 + 4. Let c be l(9). Sort -1, c, 0.7 in increasing order.\nAnswer: -1, 0.7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of -42 + 613 + (-25 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.84718594 + -2.847. What is p rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**2 - 7 + 7. Let y(i) = 3*i**2. Calculate y(v(h)).\nAnswer: 192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -77379.\nAnswer: 77379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 89. What is the remainder when 48 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 3*l + 5*z, 3*l + l = -4*z + 252. Round l to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154.0899 + 0.1899. Let w = 154 + y. Put 3, w, 17 in ascending order.\nAnswer: w, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3072 + 4163 = 84*u - 3613. Solve h = 15*h + u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33206 at most as big as 23842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10447 - 10407. Solve 20 + 20 = -t*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494941753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r**2 + 3*r + 23. Let v = 23 + -17. Is 41 a factor of w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1759, 10, -2\/5, 4 in ascending order.\nAnswer: -2\/5, 4, 10, 1759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2.3 (b) 0.4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j\/j**(2\/7))\/j*j\/(j**(1\/15)\/j)*j*(j\/(j*j**(-3)))**43 assuming j is positive.\nAnswer: j**(14033\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 347572780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 65 = -a + 18, -71 = -3*p - 4*a. Let n = p + -31. Put 1\/9, n, 5 in decreasing order.\nAnswer: 5, 1\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0 + 2*g + 1\/30*g**4 + 1\/15*g**3 + g**2 + 1\/150*g**5. Let n(z) be the first derivative of v(z). Solve n(a) = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) 1054 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -35*f - 12. Let j(q) = -53*q - 19. Give -5*j(l) + 8*o(l).\nAnswer: -15*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*2)\/(sqrt(8)*-4).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*r**4 + 2*r**2 - 2*r**4 + 90*r**4 + (-2*r**3 + 4 - 4)*(0*r - r + 0*r) + (2*r**3 - 2*r**3 - 3*r**3)*(2*r + 2 - 2).\nAnswer: 60*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 - 5197 - 976 = -404*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-52)\/6)\/(1\/3). Let q = -10 - l. Calculate the remainder when q is divided by ((-78)\/24 - -1)*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3\/4 - n**2\/2 - 35*n\/4 = 0.\nAnswer: -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7308 to two decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.033 + -106.967. Let r = 2988149.25300047 + -2988256.253. Let u = r - g. What is u rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 18. Give q(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 9 + 23 + 11 + 867*n in the form s*n + h and give s.\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 9*i**2 + 17*i - 3. Let g(w) = 2*w**2 + 2*w - 5. Let r be g(2). What are the prime factors of v(r)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943*2.77.\nAnswer: 2612.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1983 - -1985. Put -0.02, 0, j, -2 in descending order.\nAnswer: j, 0, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**7\/35 - 2*x**3\/3 - 5*x**2\/2 + 1. Let g(h) be the second derivative of q(h). What is the derivative of g(j) wrt j?\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 164\/(-12))\/((-3)\/45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) 0.07 (b) 0.02 (c) 4 (d) -0.5 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 503 + 97 = 4*y, 2*y = -4*f + 304. Suppose 0 = -2*l + l + y. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Suppose -y*a - 5*z = -28, -7*a + 4 = -3*a - z. Suppose -a*i = v + 10, 0 = 3*i - 2*i + 4. Put 0, 3, v in increasing order.\nAnswer: v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 25*z**2 + 203*z + 61. Calculate the remainder when c(-33) is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 2 - (78 - 65)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1))\/p)**39*(p\/p**(-3))\/p**(3\/10)*((p**(-3))**(-50))**27 assuming p is positive.\nAnswer: p**(40927\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -0.02, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.063 and -4473934110?\nAnswer: 4473934109.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-5))\/(21\/(-35))*-183. Let m = f + 485\/8. What is the second smallest value in -3, m, 3\/5, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/((-1892)\/430).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56197 = -14*z - 56309 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1226\/8 - 48\/(-64). What is the third derivative of -105*c**5 - 20*c**5 - j*c**2 + 358*c**5 wrt c?\nAnswer: 13980*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13133412 - 3422?\nAnswer: -13142334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*a**4 - 2*a**3 - 19*a**4 - a**2 - 20*a**4 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14219*w + 24. Let h(p) = 42663*p - 68. Determine 17*g(v) + 6*h(v).\nAnswer: 14255*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 1443, 3662, 6885?\nAnswer: 11112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -1*(2 - 0). Let b = 61 + -48. Suppose b*a - 15 = -2*a. Sort a, -2, v in increasing order.\nAnswer: -2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/21 - (-12)\/(-42). Let q be 3 + 1*-69 + w. Let y = q - -119. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v + 5. Let t(i) = i**3 - 8*i**2 + 9*i - 10. Let m be t(7). Let c be s(m). Solve 15 = -5*y + 5*h, -c = -4*y - 3*h - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/40 and -53\/1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66, -150, -232, -312, -390, -466?\n\"Answer: y**2 - 87*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -36. Suppose 0 = 4*x + d - 38. Does 7 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 408*b + 1. Let v(w) = 39*w**2. Determine v(s(f)).\nAnswer: 6492096*f**2 + 31824*f + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-2*a**2 + 1 - 1) - a + a - 27*a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -924536 divided by 163?\nAnswer: -5672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**4\/8 + 40*b**2. Let j(q) be the second derivative of -q**4\/12 - 4*q. Give j(c(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 5. Let p be 34\/2*(2 - q). Suppose -9 = -2*c + p. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3656*c**3 + 20932*c**3 + 14594*c**3.\nAnswer: 31870*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -80*g - 30. Let o(h) = 44*h + 16. Let p(q) = -11*o(q) - 6*v(q). What is p(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*j = -n + 6*n - 1020*j - 23, -1 + 4 = 3*n + 3*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2382, 11885, 27730, 49923, 78470, 113377, 154650?\nAnswer: 202295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3 - (-14)\/(-5)). What is the first derivative of b*q**2 - 3*q**2 + q**2 + 4 + 8*q**2 wrt q?\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/120 + 13*t**4\/6 + 285*t**2. Factor b(x).\nAnswer: -x*(x - 104)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/2 - -57) + 1 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798\/2394 + (-1)\/2 + 2\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11229 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 2. Let k = -140\/3 + 46. Let p be (-1)\/((-5)\/2*-1). Which is the closest to k? (a) 2 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 929 (base 12) to base 7\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.002 - -0.202. Let v be 0\/(-1) - (-22)\/28. Let z = v - 1\/2. Which is the nearest to z? (a) -3 (b) r (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1496262, -2992513, -4488764, -5985015, -7481266?\nAnswer: -8977517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 42, 47, 54, 63?\n\"Answer: h**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 8 - 114. Let o(n) = -4 - 251*n + 124*n + b*n. Let c(w) = 4*w + 3. What is -6*c(l) - 5*o(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 251*p. Let m(l) = 14301*l. Let u(s) = -227*i(s) + 4*m(s). Let z(x) = 3*x**2. Give z(u(v)).\nAnswer: 154587*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*a - 2*b, a + b - 12 + 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420686 - -32586. Round j to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-510)\/(-204).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 + 4 = 0. Suppose 3*g + 3 = 2*t, -5*g - 8 = -4*t - m. Suppose 5 + t = 2*p. What is the least common multiple of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198 + 341. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -5)\/12*(-8 - -4). Solve -d - 11 = 4*u - c, 5*c - 29 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 15) to base 8\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*-8*(-5)\/600. Let t = -240 - -240.44. Sort o, t, 2\/5.\nAnswer: o, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(153))*6)**2 - ((0 + sqrt(153) - sqrt(153) - sqrt(153))**2 + sqrt(153) + 0).\nAnswer: 213*sqrt(17) + 5391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 730 + -619. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 310?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*q + 36 = -41, 2*u + 64 = 5*q. Suppose 3*a - 6 = 5*d + 112, 2*a = -8. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -53.23 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -352*y - 52. Let u be w(-13). Let x = u - 3101. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*w**2 + 1 + 11 - 48*w**2 to b*w + m + d*w**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2422858 and 3830?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*p - 589 - 659 = 0, 0 = 4*w + 5*p - 1248. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.5 (b) 32 (c) -18\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*r = 38, 5*j + r = 2 + 32. Calculate the greatest common factor of j and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 6*j + 7. Let d(h) = h**2 - 11*h - 52. Let u(o) = o**2 - 20*o + 111. Let l be u(12). Let t be d(l). What is k(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 + 66 = 123*d - 135*d + 171 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 12:09 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 24*x + 42. Give m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**6\/120 - a**5\/10 - a**4\/24 + a**3\/3 - a**2. Does 17 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.77 - 0.23. What is the closest to j in 0.5, -0.08, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**5\/10 - c**4\/3 - c**3\/3 - 3*c + 1. Let r(s) be the first derivative of v(s). Solve r(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1573) + -1 + sqrt(1573) + 1) + 1 - (1 + -3*((sqrt(1573)*1 + sqrt(1573))*-4 + sqrt(1573))))**2*1.\nAnswer: 1511653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-66))\/((-5)\/(-15))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + o + 7. Let u be d(0). Suppose 16 = 4*g + 4*z, 5 + u = 3*z. Solve 4*v = 3*k - g*k + 17, 2*k = v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -71. Suppose 4*x - 11 = p, h - 4 = 4*x + 3*p. Solve 4*n - 7 = -x*u - 25, u = n + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.1 (c) -0.2 (d) 51806 (e) -4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1111000111111011000 (base 2) to base 7\nAnswer: 4132554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/8, 0.1, 5\/4, 35, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 372922144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -974*x + 202599. Determine a(208).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6649962 weeks in days?\nAnswer: 4.6549734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*h - 5*z, 28 = 3*h - 3*z + 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.1. Let i = x + 0.2. Let y = -175 - -174. Which is the closest to y? (a) i (b) 5 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 49*o - 29. Let u be d(24). Let g = 8 + -5. Which is the nearest to 1\/2? (a) -1 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315712.\nAnswer: 2, 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {n: 2, r: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*r + 70*r = 137*r - 7028 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + sqrt(117)*1 + sqrt(117) - sqrt(117) - sqrt(117))*2)\/sqrt(9))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1375 divided by -275\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(2\/23))\/(k\/(k*(k**(-5)*k)\/k*k*k)))\/(k*k**(1\/4)*k*k)**35)**(1\/46))**(-6\/5) assuming k is positive.\nAnswer: k**(31971\/10580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/30 - c**5\/10 + 63*c**4\/2 - 1115*c**3\/3 + 7338*c. Find the second derivative of h(r) wrt r.\nAnswer: 12*r**2 - 12*r + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 26. Let r = -270 + 257. Let k be a(r). Let -2\/7*d + k - 4\/7*d**5 + 6\/7*d**3 + 2\/7*d**4 - 2\/7*d**2 = 0. What is d?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 91, 3\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2858, -5663, -8468, -11273?\nAnswer: -14078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1364080 divided by 8.\nAnswer: 170510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1405775.68602 and -0.009.\nAnswer: -1405775.69502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 5*b. Suppose b*p - 4 = 2*p. Sort p, -8, 3, -4 in descending order.\nAnswer: 3, p, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 279*d**2 + 41*d - 48. Is p(-6) a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 196301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 6*z**2 + 17*z + 51. Let m be r(-3). Let y(d) = -7*d**3 + 6*d - 8. Let v(j) = 6*j**3 - 5*j + 9. Let c(w) = 6*v(w) + 5*y(w). Determine c(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43444691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8921227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 305 = -0*a. Let q = -181\/3 - a. Factor q + 0*w - 2\/3*w**2.\nAnswer: -2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + 2*sqrt(539) + (4*(sqrt(539)*2 + sqrt(539)))**2.\nAnswer: 14*sqrt(11) + 77622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 580385*x.\nAnswer: 5*x*(x + 116077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*o - 7*o. What is the remainder when ((3 - (-44)\/(-8)) + 3)\/(20\/1400) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37034219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/97 + 103\/582. Which is the fourth biggest value? (a) 0 (b) -5 (c) -3\/7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15768539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**5 + 685*m**3 + 3*m**2 - 5649 wrt m.\nAnswer: 240*m**2 + 4110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10679265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/24 and -97\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8883 = -5*x. Suppose -7148 = -11*p + x. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8622 smaller than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*v - 2*v + 3*x, -5*v + 12 = 4*x. Suppose 5 = -b + 4*l, 2*b - 6*b + v*l = -16. Let f = 10 - b. Solve s = -f*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1100809 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**4\/24 + j**3\/6 - 4*j**2. Give l(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 37*z**2\/3 + 408*z + 15120.\nAnswer: -(z - 35)*(z + 36)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d - 320. What is the lowest common multiple of 120 and u(-28)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 86.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 172 = 2*h. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279780 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 240573219 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-12) + 5\/20. Let v = -12.82 - 1.38. Let j = 14 + v. Which is greater: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.2*0.17.\nAnswer: -1.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3))**(-14)*b**1\/(b**3\/b) assuming b is positive.\nAnswer: b**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + i + 244500 = 0, -y - 5*i + 48924 = -10*i. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7793 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -61965188.\nAnswer: -24786075.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2083 + 3500.\nAnswer: 3500.2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14402.9639 + -14402. Let l = n - 0.97. Round l to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*c - 14, q + 13 = 4*q + c. Let b(p) = -q*p**2 + 3*p**3 + 3 - 3*p**2 - 2*p**3. Suppose -n = -6 - 0. What is b(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to -318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 3548*t - 35369. Determine u(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16968528091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -v + f, 2*f - 71 + 24 = v. Let t = v + -294. Is (t\/(-9))\/(2\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (10 + (-10 + 29 + -8 + -18 - -8))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2982716493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -593251019, -593251017, -593251015, -593251013, -593251011, -593251009?\n\"Answer: 2*u - 593251021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001001110000011 (base 2) to base 6.\nAnswer: 25355415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = f, 18*d = 60*d + 50*d + 3*f + 193 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 48\/4 - -2. Let o(t) = -3 + 1 + 7*t**2 + t**2 - 7*t**2. Let q be o(-2). Are l and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -177 or -351\/2?\nAnswer: -351\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4681619 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/128 and 71\/12864.\nAnswer: 25728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 66 - 60. Is 19584\/14 + d\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(38)\/(sqrt(2) + sqrt(32))*-5 + sqrt(209)\/(sqrt(396) - sqrt(396)*2))**2.\nAnswer: 751\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -3*b**2\/2 + 723*b - 11. Is r(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1126843\/3 + -375611. Find l, given that -8\/3*l + 2\/3 + a*l**2 - 4\/3*l**3 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y + 15*y**5 - 6*y - 2*y wrt y?\nAnswer: 300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/3)*x)**(-1\/4)\/(x*x**(1\/5)*x*x**(-2\/9)))**9 assuming x is positive.\nAnswer: x**(-461\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 0.27957.\nAnswer: 5.27957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + (-13)\/(-3) - (-2)\/3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -591, -1757, -3495, -5799, -8663, -12081?\n\"Answer: m**3 - 292*m**2 - 297*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 121*l + 702. Calculate the remainder when o(15) is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -121, -248, -375?\n\"Answer: -127*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 - 4*q + 4. Let o(f) = -4*f**3 + 5*f - 5. Let m = 3 + -7. Let s(i) = m*o(i) - 5*b(i). Factor s(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19d5f (base 16) to base 4.\nAnswer: -121311133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6052)\/(-34)*((-2)\/2)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -7 - -1) + -8 + -121. Let q = -128 - h. Let f(v) = -2*v**3 + 6*v - 2. Is 10 a factor of f(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302822 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 553*p - 49. What is the tens digit of w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40112 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985557 is divided by 1708.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = -4*c + 3*h, -18 = -5*c + 4*h. Suppose c*t - 67 - 17 = 0. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiti when four letters picked without replacement from {t: 1, i: 10, e: 4, n: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**(-16) assuming i is positive.\nAnswer: i**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-107)\/(-15) + (-2)\/15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 3}. Give prob of picking 1 m and 2 l.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 148*f - 3. Suppose 0 = -2*k, -3*k - 10 = 2*u - 3*u. Is l(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*n - 5*g + 3, -15 = -3*n - g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 1 (c) 317928 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 94*b = -4*i - 216, 2*b + 4*b - 2*i = 2*b + 108 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 32 + 67 = -285*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35\/4 in 13, -4, -3\/4, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k*y**5 - 11*k*y**3 + k*y - 73236*y**3 + 157329*y**2 wrt y.\nAnswer: -240*k*y**2 - 66*k - 439416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 893533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*t + 1, -16153*h - 5*t = -16157*h + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**2 + 22718704*d + 136312080 = 0?\nAnswer: -5679670, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**5\/4 + 3125*v**4\/12 + 5*v**3\/6 - 3125*v**2\/2 + 2*v + 562. Find y, given that p(y) = 0.\nAnswer: -1, 1, 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210002 (base 3) in base 12?\nAnswer: 120b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147483 is divided by 61.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3412 minus 32.6?\nAnswer: -3444.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-654)\/(589\/37 - 16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = m - 6*m + 28, -r = m - 2. Suppose 0 = p + m*p - 50. Let k = 27 - p. Calculate the remainder when k is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-18))\/(2\/3). Let r be 4 - f\/(-2)*-2. Let s(a) = -a**2 + 6*a. What are the prime factors of s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4824 - 4821. Solve q*o - 21*w = -23*w + 7, 0 = -3*o - 4*w + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 32eeb?\nAnswer: -32ee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15787345 * 5\nAnswer: -78936725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3290850 and 585.\nAnswer: 42781050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpgg when four letters picked without replacement from {q: 3, t: 1, c: 1, j: 5, p: 1, g: 4}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.8 - 1.9. Let l = f + 1.1. Let x = -14 + 15. Is l smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15 - (5 + -2)) + 2. Let c be (4 - 3)\/(2\/a). Let l = c - -14. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from jlajqlzajla?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*b - 9*b - 163*b.\nAnswer: -81*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 22. Let a be t(-16). Let h(d) = 3*d - 7*d**3 + 9*d**3 - 1 + 2*d. Let m(q) = -6*q**3 - 14*q + 3. Let z(r) = a*m(r) + 17*h(r). Calculate z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 837 + 5?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b**3*v**2 - 125182*b**3 - 8247*b**2*v**3 wrt v?\nAnswer: -10*b**3*v - 24741*b**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52731789 and 711.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -859\/210 - -9\/35. Let o be 2\/(-7) + (-6379092)\/(-11054568). Let i = -4\/2269 - o. Calculate the common denominator of i and k.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/10 + (-12)\/(-30). Suppose x = 1 - j. Suppose -16*d = 8 - 88. Sort -2, x, d.\nAnswer: x, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uujj when four letters picked without replacement from {j: 4, u: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76374032 and 13696?\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 176313*v + 777429 wrt v?\nAnswer: 176313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 432\/24) + 27. Let b(t) be the second derivative of 1\/16*t**4 - 1\/48*t**s - 1\/84*t**7 + 1\/20*t**6 + 0 + 35*t + 0*t**2 - 13\/160*t**5. Factor b(m).\nAnswer: -m*(m - 1)**2*(2*m - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401331 + -3?\nAnswer: 401323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = -4*o + 3*t, 2*t = o + 4. Suppose -4*i + 47 - 7 = 0. Let s be (-25)\/(-10)*(-12)\/i. Sort 1, s, o in increasing order.\nAnswer: s, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111000011 (base 2) in base 11?\nAnswer: -1547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*u - 7404 = -430*u - 396*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 0, -32\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*p**3 + 4352*p - 1432*p**2 - 896 + 3391*p**4 - 7*p**3 - p**3 - 3355*p**4.\nAnswer: 4*(p - 4)**2*(p + 7)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1029 and 35?\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 255, 361, 441, 489, 499, 465, 381?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 100*g - 50*g - 1 + 15*g**2.\nAnswer: 15*g**2 - 146*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7528d (base 14) in base 10?\nAnswer: -283149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 0*m**2 + 2*m**2 - 3*m**2 + (0 - 4*m**2 + 0)*(2 - 1 - 3))*(4*m - m - m) to the form s*m**3 + w + n*m**2 + d*m and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 8*v - v)*(-2*v**3 - 3*v**3 + 4*v**3) + 0*v**4 - 4*v**4 + 0*v**4.\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.929867ml to litres.\nAnswer: 0.006929867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/3)\/(154\/(-95634)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {n: 5, y: 1, w: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2936 (b) 10 (c) 0 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 + 159. Let z(d) = -6*d**2 - 8*d - 12. Let f(m) = 14*m**2 + 15*m + 24. Let l(u) = n*f(u) - 5*z(u). Factor l(b).\nAnswer: 2*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -7 - 0 - (-40 - -36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + -1 + -5 + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 6*i - 11. Let q(c) = -5*c**2 + 43*c - 63. Let p be q(7). Determine l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 10. Find the common denominator of -56\/9 and ((-175)\/x - 4)\/((-4)\/6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 67*p - 283. What is i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j + 5. Let c(y) = -44*y - 24. Let g(u) = -5*c(u) - 24*k(u). Let i(o) = -o. Let f(v) = -v**2 + 2*v + 2. Let x be f(3). Give x*g(r) - 6*i(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*n - 79*n - 76*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39601 - 309836 = -167*g - 44161. Calculate the remainder when 7317 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmhmmrmhhrhrrhrhmrh. What is prob of picking 1 r and 1 m?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4248545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 - (1083\/57 + -20)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 679, 3274, 7803, 14272, 22687, 33054, 45379?\n\"Answer: y**3 + 961*y**2 - 295*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 6*h - 566. Calculate the highest common factor of 144 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-624)\/(-234) - (-20)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3694, -15144, -34262, -61042, -95478, -137564, -187294, -244662?\n\"Answer: k**3 - 3840*k**2 + 63*k + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/6 + 3\/(-18). Calculate the lowest common multiple of 4 and a\/(-9) + 256\/18.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -0.5 (b) -12 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + t = -2*h + 100, 5*t - 80 = -4*h. Suppose -y + 32 = 3*v, 2*v + 0*y - h = -2*y. Calculate the highest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 502 and -0.11.\nAnswer: 501.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 0.02, -1\/7 in decreasing order.\nAnswer: 39, 0.02, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3209*o**5 - 2*o**4*t - 467*o**3*t - 2*o**2*t + 23*o**2 - 5*o*t - 9437 wrt o?\nAnswer: -192540*o**2 - 48*o*t - 2802*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (25 - 9 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, 2.1 in decreasing order.\nAnswer: 2.1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) - 4*sqrt(330)*-1)\/(1*sqrt(99)))\/(sqrt(10) - sqrt(40)\/(1*sqrt(4) + sqrt(4)) - 6*(sqrt(10)*4 - sqrt(10))).\nAnswer: -2*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, y: 1, o: 3, e: 1, v: 2}. Give prob of sequence oy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -313 divided by 10\nAnswer: -313\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spsp when four letters picked without replacement from pppsppppps?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 8*q**2 - 10*q - 6. Let m be v(-6). Let a = 67 + m. Find the second derivative of 4*c - a*c**4 + 50*c**4 + 2*c wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 3*o**2 - 2*o. Let p be f(4). Suppose g = -4*m - p, -4*g = 5*m - 4*m + 17. Let t be (1\/10)\/(0 - -1). Is m at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 22*v. Let x(p) be the second derivative of 7*p**6\/360 + 119*p**3\/6 - 161*p. Let y(q) be the second derivative of x(q). Give f(y(j)).\nAnswer: 154*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (2 + -2 + 29). Let d = 44 + y. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q + 2*b = -10, -3 = b. Suppose 0 = -q*l + 4*l. What is the remainder when 6 is divided by -2 + 6\/(l - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13851752940 + 13851753814.7723997. Let r = 976.77239919 - q. Let i = 102 - r. What is i rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -818?\nAnswer: 817.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 50. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, h: 4}. Give prob of sequence wwwh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235 - 134. Suppose -99*z + 131*z - 1120 = 0. What is the remainder when j is divided by z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*r**2 + 212*r**2 - 56*r**2 - 51*r**2 - 59*r**2.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/504 - 2\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 1. Let v(t) be the second derivative of -1\/6*t**4 - 3*t**2 - 1\/3*t**3 - 7*t + 0 + 3\/20*t**5. Let m(x) = -4*q(x) - v(x). Determine m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 93. Let s be f\/13 - (-6)\/39. Let b = s - 8. Let p(w) = -w**2 - 2*w + 7. Calculate p(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19883*u + 555 - 1 + 19889*u as x + r*u and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8391195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010110001111000100 - -1111010?\nAnswer: 11010110010000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 3*j + 3*j - 8*j + 9 wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2447 + 3445. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -5, 0.02, -21, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**4\/8 + h**3\/3 + 1430*h**2 - 2*h - 1. Let t(a) = -12*a - 9. What is 9*b(r) + 2*t(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*n - 10, -2*w = 4*n - 16 - 2. Solve w = -3*p - c, -2*p + 4*c = -4*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 1:02 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -76*s + 344. What is the units digit of v(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108216700 to the power of 1\/2, to the nearest integer?\nAnswer: 10403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s + 33 - 56*s - 20*s + 103*s.\nAnswer: 3*s + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 154*c**2 + 2*c + 7. Let p(w) = 617*w**2 + 8*w + 27. Determine 15*n(m) - 4*p(m).\nAnswer: -158*m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 4*c + 42 = 0. Let u be (-2)\/(-8) - (-3692)\/16. Calculate the greatest common factor of u and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 - 42*j**2 + 15*j - 86. Let v be d(-9). Solve 25*y = -3 - v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-12) + (-97)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 866, 859, 802, 695, 538?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q**(-2\/7)))\/q*q)\/(q*q**(-6)*q))\/(((q\/(q\/q**1))\/q)\/q**5) assuming q is positive.\nAnswer: q**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/25, -0.3, -3\/5, 1\/36?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-9))\/1 - (-136)\/(-102)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/4771659?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 216090499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -115. What is the closest to -3\/19 in 3, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 226414463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 48 = 72. Calculate the common denominator of (-2)\/(-7)*(-1)\/2 and (-5)\/(h\/(-148)) + -2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000983886 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 111*b**3*h*r - 4*b**3*r*z - 698*b**3*z + 22*b**2*h*r*z - 2*h*r wrt h.\nAnswer: 111*b**3*r + 22*b**2*r*z - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21260234, 21260231, 21260226, 21260219, 21260210?\n\"Answer: -g**2 + 21260235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -144515 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175.57 + 177.57. Which is the nearest to h? (a) 1\/73 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 - 5*k - 6. Let l(v) = -5*v**2 - 6*v - 7. Let m(a) = 2*l(a) - 3*r(a). Suppose -580 = 17*c - 7*c. Let p = 55 + c. Calculate m(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 4668*g**2 + 4668*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2 (c) -5 (d) 1.62 (e) -0.5 (f) -250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 12*m - 12*m)*(1 - 7 + 4)*((m**2 + 2*m**2 - m**2)*(2*m + 3*m - 4*m) - 34*m**3 + 370*m**2 - 370*m**2 + 2*m**2 - 2*m**3 - 2*m**2).\nAnswer: -204*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2 + 156968355*j - 156968350 = 0.\nAnswer: 1, 31393670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 7631256.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*m - 3*b - 0, -3*b - 11 = -4*m. Let g(x) = 4*x. Let v(q) = q. Calculate m*g(o) - 14*v(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + -1)*2 - (sqrt(19) - (-2*sqrt(1539))**2)) + -5 + 0)*-3 + 3.\nAnswer: -18444 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: What is prob of sequence nn when two letters picked without replacement from nrnnrrnrrnnnrnrrrnrn?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, t: 2, e: 1, z: 1, m: 1, v: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -193*j + 204*j - 39732. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/40, 6, 3\/5, 0?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.59 - 2.41. What is the closest to -200 in 2\/9, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(153)*-4 + sqrt(153))*-3)\/(4*(sqrt(9) - sqrt(9)*3)).\nAnswer: -9*sqrt(17)\/8 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 21 + 6 + 1176*c + 17 as t + s*c and give s.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1435720649 - -2713954532. Let r = -1278233764.9999874 + s. Let v = r - 118. What is v rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1066 by -41.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.343 rounded to 1 dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - n + 411319, h - 102817 = -0*h + 4*n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**6\/120 - n**5\/12 + n**4\/24 + n**2 - 3*n. Let m(l) be the first derivative of x(l). What is m(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + n)*(-5 + 2 + 1)*(-3*n - n**2 + 3*n) + 251*n**2 + 3 - 251*n**2 + 20*n**3 to g*n**2 + q + x*n + v*n**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -56*s + 54*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 439932 and 25242?\nAnswer: 3079524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/3)\/(4\/6). Let h = -2 - z. Let a(n) = n**3 - 5*n**2 - n - 5. Let j(g) = 4*g**3 - 16*g**2 - 5*g - 15. Let w(c) = 7*a(c) - 2*j(c). Give w(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -27, -52, -77?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110139, 110141, 110145, 110151, 110159, 110169, 110181?\nAnswer: 110195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 377131\/6555 - (-8 - -65).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 27235?\nAnswer: 27235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/18*-3*(-12)\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 5, g: 1, m: 3}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*d + 12513 - 55440 - 10673. Calculate the remainder when d is divided by 179.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400433 (base 6) to base 5.\nAnswer: 2000034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*w**2 - 10*w**6 - 63*w**3 + 12*w**6 + 64*w**3 + 28*w**6 wrt w.\nAnswer: 3600*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/431652 - -171797573\/33237204. Let i = -60\/11 + m. Let n = 18 + -23. Which is the biggest value? (a) 0.09 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006575268 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316904 is divided by 59?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 53. Let x = 0 - -1.3. Let p = -1 + x. What is the second biggest value in p, -0.3, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*y - 148 = 0, -4*y = 3*h - h - 112. Calculate the remainder when h is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0*n**7 + 0 - 3\/7*n**8 + 0*n**5 - 40*n + 0*n**2 - 29\/12*n**4 + 0*n**6 + 0*n**3. What is the third derivative of h(u) wrt u?\nAnswer: -2880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 0, 5, 15\/808?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 8259 + 7557 = 0 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 133226651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -47. Suppose 14*h = p*a + 9*h - 39, -a = 3*h + 3. Is (-15)\/(-2)*116\/36*a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3 + 104*u**2 + 4822*u - 10044 = 0.\nAnswer: -31, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 201*z**2 - 2*z + 4. Let m be (2 + 2 - 8)*2\/(-8). What is the remainder when g(m) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:50 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(2))**2 + 5 + sqrt(28) + (-1 + sqrt(1792))**2 - (sqrt(2800)*-2 + -2).\nAnswer: 10*sqrt(7) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 99, 1.1, 2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(16\/12) - -2. Let k(y) = -y + 3 - 3. Let c be k(5). Sort c, -4, w in descending order.\nAnswer: w, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 14 - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/13, -4, -12.\nAnswer: -12, -4, 14\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.44 + 0.06. Which is the smallest value? (a) m (b) 5 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.4329 less than 2689654?\nAnswer: 2689722.4329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.77 - 0.73. Let k = 17 + b. What is the third smallest value in k, -1\/3, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.7773 * -3572\nAnswer: -95648.5156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 532 + 475*f**3 + 524 - 1056 - f + f + 2*f**3 + f**3 + f**3 - 4*f**3 + (4 - 3 - 3)*(-f**3 + 0*f**3 - f**3) - f**3 - 3*f**2 + 3*f**2 - 2*f - 2*f**3 + 2*f.\nAnswer: 476*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/7 (b) 57 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*2*2*(-3)\/24. Let h be (-9 - (-6)\/3)*g*-1. Does h = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 divided by -6?\nAnswer: 505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 0.04. Let i = n - -2. Let g = -0.1 - -0.1. Which is the second smallest value? (a) g (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31698 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -569, 2 in decreasing order.\nAnswer: 2, 1, -4, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbbr when four letters picked without replacement from {r: 6, b: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10608 is divided by 183?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286 + -279. Let s be 23 + (z - (-54)\/(-6)). Solve n + 2*j - 5 = -4*n, 5*j = -4*n + s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 14025\/1168?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5652495 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + s - 58 + 61 + s**2. Let c be (1 - -2) + 1 - 10. Calculate v(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:12 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -194840, -389664, -584488, -779312?\n\"Answer: -194824*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38624010 is divided by 38624001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, 1170, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0048953 rounded to 4 dps?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 8 + 20)*(4 - 2*r - 4)*(3*r**2 + 3*r - 3*r) in the form j*r**2 + s*r + p + n*r**3 and give n.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c - 1. Let z be w(4). Let p = z + -3. Let x(t) = t**3 + 17*t**2 - t - 15. Let r be x(-17). Solve -21 + 1 = -4*o, p = -5*h + r*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((0 + sqrt(1331))*-2 - sqrt(1331)) + sqrt(1331))**2 - (6*-3*sqrt(1331))**2) + -1 + -3.\nAnswer: -425926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -45?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6408 + -4?\nAnswer: -640c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-3 - 60\/(-16)). Let m(d) = 12*d - 17*d - t + 3 - 1. Determine m(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 13*k**2 - 6*k - 39. Let h be ((-26)\/4)\/(3 - 50\/20). Give g(h).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2340 and 20\/996489.\nAnswer: 19929780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/((-510)\/(-4608)) - (-6)\/10. Let z = -108 - l. Let n be (-1)\/(-1)*z\/(-9). Which is the biggest value? (a) n (b) 0.4 (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 10*i**2 + 20 + 53*i - 103*i + 48*i wrt i.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -8067.14.\nAnswer: 1613.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2\/3891, 70 in decreasing order.\nAnswer: 70, -2\/3891, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 14) in base 10?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u - 5*u**2 - 6*u**2 + 26*u**2 + 11*u**2 wrt u?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 104 + -309 - -141?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 4*s. Let u be r(4). Let f = -2 - u. Put 1, -3, f in descending order.\nAnswer: 1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/32 - 23*a**3\/24 - 15*a**2\/2 + 18*a - 54. Determine z, given that k(z) = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 197 + 92 + 1088 = -255 for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 400983673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*q + 3*q = 47974, 0 = 3*q + 3. Suppose -2*c - 5*v - h = -4*c, 59988 = 5*c - 4*v. What is c rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/28? (a) 1\/5 (b) 0 (c) -1\/7 (d) 901787 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 38 + 0*i**2 + i + i. Let f be (0\/(2 + -3 - 1))\/(423 + -420). Let k be s(f). Is -37 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 4*z - 9*z - 25*z in the form b + k*z and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -24*i + 141. Determine d(10).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*v = 21 + 239 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 22689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16849)\/(-249) + 119\/51?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1322 by -4.\nAnswer: 661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 14 + -11 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 2*u**3 - u**2 + 0*u + 2*u + 2*u**4 in the form l*u**3 + g*u + i + o*u**4 + b*u**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k - 3. Calculate the remainder when 108 is divided by c(11).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -24. Let m be 4\/5 + 23004\/u. Let z be m + -1 + (-1)\/(-1). Round z to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3333 = -19*i + 30. What is the remainder when i is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*x + 125, 2*n + 125 = 7*n + 4*x. Suppose 0 = c + 5*d - n, -d = 5*c - 3*c - 5. Solve w - 4 + c = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 1. Let t be g(1). Suppose 5*p = -y - 7, t*p = -2*y - y + 5. Solve -s = y*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-4) + 1\/(-2). Suppose f*j - 7 = 5*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.41, 338718 in descending order.\nAnswer: 338718, 1, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1431 - -1454. Solve -5*i + 4*z = -d, 7*i - 3*i = 2*z + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-1 - sqrt(100)\/(sqrt(4) - (1*sqrt(4) + sqrt(4))))\/(4*(-6*(sqrt(5) - -2*sqrt(5)) + sqrt(5)))*6)**2.\nAnswer: 45\/1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:08 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -12*b**2 + 6. Let l(w) = 4*w**2 - 2. Let d = -585 + 595. Determine d*l(p) + 3*x(p).\nAnswer: 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kketfetkeffotjeefetj. What is prob of picking 3 k and 1 t?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-20))\/(1 - (-4)\/(-5)). Let n = 2\/65 + -73\/260. Suppose -10*j = -6*j - 8. What is the second smallest value in r, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/30*-3)\/((-110)\/50)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3\/3 + 1058*a**2\/3 + 1566*a + 1560 = 0.\nAnswer: -260, -3, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -15*z**2 - 4*z. Suppose -7*b + 52 = -11. Let n(h) = -4*h**2 - h. Calculate b*n(u) - 2*p(u).\nAnswer: -6*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*q - 0*q - 60, -26 = -3*o - 2*q. Let y = -4 + 8. What is the smallest common multiple of o and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 7080*v**2 - 3320100*v + 516095440.\nAnswer: -5*(v - 548)*(v - 434)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 3*w + 2. Let s be l(-2). Suppose 2*a = -x, -5*x + a = -a - s. Let i be (x*(-2 + 0))\/(-1). Solve i = -c + 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**3*v**4 + k**3*v - 4552*k**2*v + 1087*k*v**4 wrt v.\nAnswer: 36*k**3*v**2 + 13044*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 139 = -29 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 247.747 and 0.3.\nAnswer: 74.3241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 11. Suppose -2*v + 3 = -13. Let m be d(v). Suppose 0*p - m*p = 2*g - 20, -p + 4 = g. Solve g*c + 6 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19937512.3827 - 2603.3827. Let t = -19934890.9999949 + v. Let h = t + -18. What is h rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (2 - -1)*-1 + 1. What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 1. Let m be f(0). Let u be 0\/(-1 + 0)*m. Suppose 4*r - 3*l - 67 = u, 2*l = 2*r + 2*r - 66. Calculate the least common multiple of 18 and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-9)\/61) - 25\/((-5400)\/48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 8 = -w + 3*h, 5*w - 3*h - 37 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00440760472 rounded to seven decimal places?\nAnswer: -0.0044076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*x - 4*x + x - 4*x to the form c*x + o and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455840?\nAnswer: 2, 3, 5, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*b + 328 - 328 + (-4 + 2 + 3)*(-2*b + 5*b - b).\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6540 or -6537?\nAnswer: -6540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + 70.5?\nAnswer: 142.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(72\/(-53)) + (-80)\/(-360) + 3?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21.2 and -0.139.\nAnswer: 21.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*h**2 + 132*g**3*h - 2*h**4 - 4327*h**2 - 2033*h wrt h?\nAnswer: -2*g**3 - 24*h**2 - 8654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28d0d (base 16) to base 10\nAnswer: 167181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1186164597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 3, -0.5, 0.4, -2245?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4425 = -18*c - 1731. Is -345 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-4) + 6\/12. Suppose v*f + 5 = 4*f. Calculate the remainder when (93\/9)\/(f\/(-3)) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/16585, 2\/17, 0.3 in decreasing order.\nAnswer: 0.3, 2\/17, 4\/16585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*i = 6*i - 10453, a = 5*i + 3497. Let g = a + -62833\/18. Find the common denominator of -1 + 85\/(-18) + 6\/27 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*z - 2*z**3 - z**3 + 6*z**3 - 6*z**3 - 125*z.\nAnswer: -3*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145707.53702 take away 5983?\nAnswer: 139724.53702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 0*w**4 - w**4)*(-3481 + 1721 + 1762 - 4677*w) - w + w + 2*w**5 + (4*w**5 - 4*w**5 + w**5)*(1 - 2 + 0).\nAnswer: 14032*w**5 - 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 11*q + 2*p = 3, -2*p = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.833661 rounded to 1 dp?\nAnswer: 216.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 times -0.5?\nAnswer: -89.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3904 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/13 + 1 + 17699\/39. Is 454 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a*h*t - a*h - 9*a*t + a - 30*h*t + 859 wrt t?\nAnswer: -6*a*h - 9*a - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 1, -61, 1.68, 1\/7 in decreasing order.\nAnswer: 2, 1.68, 1, 0.2, 1\/7, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6572 - 3466. What is the remainder when z is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95.7929 + -31383.8024. Let a = 31304 + k. Let l = -16 + a. What is l rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.259378709 minus 107870?\nAnswer: -107869.740621291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4675928821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38950, -5, -0.1, -6\/7?\nAnswer: -38950","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-4)\/34 + (-60)\/(-510). Let f be 15\/8 + ((-8)\/(-64) - s). Factor -6\/5*q - 4\/5*q**3 + 1\/5 + 9\/5*q**f.\nAnswer: -(q - 1)**2*(4*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, 1, 0 in ascending order.\nAnswer: 0, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 182*s. Let t(p) be the third derivative of 17*p**5\/60 + 3*p**2 - 14*p + 16. What is u(t(b))?\nAnswer: 3094*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 133*h + 3*h**2 - 15 - 3*h**2 - 2*h**3 - 179*h in the form q + j*h + f*h**3 + m*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -0.4, 0.1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0665734135 and 1.\nAnswer: 0.9334265865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 154. Calculate the remainder when h is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-2\/5)*h*h)\/h)**(-2)*h**(-3\/4)*h**(2\/3) assuming h is positive.\nAnswer: h**(-413\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 5*z**4 - 54*z**3 + 124*z**2 - 88*z.\nAnswer: z*(z - 2)**3*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 5423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 12.94.\nAnswer: -22.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a*a\/(((a**0\/a)\/a)\/a))**(1\/63)*(a\/((a\/(a*a*a*a*a\/(a*a*a**0)))\/a)*a*a*a*a**6)\/(a**1\/a)**(2\/49) assuming a is positive.\nAnswer: a**(818\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179\/1140 + -11\/1140. Which is the smallest value? (a) 0.123 (b) -4\/5 (c) w (d) -0.1 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-17))\/(1910\/1006570).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v, u - 4*v = 4*u - 737. Let l = -150 + u. Calculate the remainder when l is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6077*z**2 + 6*z - 5. Let x(h) = 15194*h**2 - 14*h + 12. Determine 5*x(m) + 12*y(m).\nAnswer: 3046*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 56*t - 249. Let u(p) = -6*p**2 + 111*p + 499. Let k(j) = 5*n(j) + 2*u(j). What is the derivative of k(l) wrt l?\nAnswer: -4*l - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 + 11*v + 51. Let c(g) = -5*g**2 - 10*g - 47. Let z(m) = -5*c(m) - 4*s(m). Let a = 40 + 3. What is the remainder when a is divided by z(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18414 - 148284 = 5*t. Let p = 58026 + t. Is 3\/6*p\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 116, 353, 714, 1199?\n\"Answer: 62*h**2 + 51*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*d - 27*d = 456 + 426 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 5) + -5 + 0 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 + 54*j + 6. Let p(r) = 13*r**2 - 180*r - 20. Let g(y) = 3*p(y) + 10*u(y). Let c(k) = 5*k**2 + 456*k. What is c(g(l))?\nAnswer: 5*l**4 - 456*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 12*n**2 - 7*n - 29. Let i be 12\/20 + 208\/20. What is the lowest common multiple of k(i) and 6*(-3)\/(-24)*12?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 + 10?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -305 - 3*n - 432*n**2 - 683*n**2 + 4*n wrt n?\nAnswer: -2230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112455 and 135.\nAnswer: 112455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 676, 1006, 1332, 1654, 1972, 2286?\nAnswer: 2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/986236545 + -6042890475161\/265626376120. Let k = -1\/2424 + t. Calculate the common denominator of -57\/10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 16*v**2 + 17*v + 33. Let t = 30 - 126. Let y = 81 + t. Let f be c(y). Solve f*d + 5*w + 5 = 0, -2*d = -5*d - w - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2814.775583523 + 0.2?\nAnswer: -2814.575583523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 19*v**2 + 1993*v - 2158. Determine k(-106).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 117*i**2 + 5*i - 5. Let m(x) = -x - 11. Let c be m(-11). Let w be (c\/(-1))\/3 + 2. Is q(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158749728?\nAnswer: 2, 3, 1653643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q - 22*q = 155. Solve 5 = -q*d + 25, 0 = b - 4*d + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 236.39.\nAnswer: -236.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.24 + -31.3. Let n = 0.06 + d. Sort -2\/3, n, 0.5 in decreasing order.\nAnswer: n, 0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by 180?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1732 by 65684.\nAnswer: 433\/16421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1496 is divided by 150.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.179 - 18.621. Let m = -5.3 - u. Let p = -7.4 + m. What is p rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1171*h**2 + 1298*h**2 + 8498*h**2 + 17307*h**2.\nAnswer: 25932*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 - 117 - 112 + 190*w**2.\nAnswer: 190*w**2 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (1 - (-1 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.369 + 235.369. Let k = -234.99999889 + f. What is k rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from oxxoxxxxoooooooxxxox.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose g + 78 = -p - v*p, 0 = -4*p - 3*g - 99. Let l = -17 - p. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -21)\/3 - 6. Let s be 4\/g*(-5 + 10 + -4). Suppose 5 = -10*m + 5*m. What is the second biggest value in s, m, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 3*b. Suppose 13 = b*s + 3. Suppose 0 = -5*r + s*r + 72. Calculate the greatest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 5*a + 0*a)*(-2 - 3 - 3)*(0 + 0 - a).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -132111\nAnswer: 4\/132111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3093 or -3094?\nAnswer: -3093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4411 = 4415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(245)\/sqrt(5))\/sqrt(7))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h, 3*c - 3*h - 30 + 6 = 0. Is 11 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92012071673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**6\/300 - c**5\/30 - 2*c**4\/15 - 4*c**3\/15 + 2*c**2 + 2. Let q(r) be the second derivative of m(r). Factor q(n).\nAnswer: -2*(n + 1)*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1740502, 3480368, 5220234, 6960100, 8699966, 10439832?\n\"Answer: 1739866*d + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.96338 + 0.22?\nAnswer: 22.18338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67942 and 7591780.\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5078, 5089, 5108, 5135, 5170?\n\"Answer: 4*p**2 - p + 5075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*l - 3*y - 50, -3*l + 45 = 3*y. Suppose l*p = p + 1339. Let o = p - 91. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -115*v + 359. What is the remainder when 783 is divided by a(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5832\/119 at most -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q - 2. Let t be o(-2). Let n = 0 - t. Let j(p) = -p**n - 4 + 4. Let b(k) = k**2. Calculate b(j(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4121006 - -52?\nAnswer: -4120624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 208035099 plus -297?\nAnswer: 208034802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 + -5?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-5) + (-3)\/15. Let d be (0 + 2)*q\/(-6). Let s(w) = 4*w + 1. Calculate the remainder when 8 is divided by s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)*c**(12\/11))\/((c*c**(1\/20))\/c**(3\/23)) assuming c is positive.\nAnswer: c**(2331\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2145 and 65.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-6\/13))\/z)\/z**1*z\/(z**5*z)*z**3 assuming z is positive.\nAnswer: z**(-33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q - 4. Let a(b) = 13*b - 3. Let f(x) = -4*a(x) + 3*j(x). Let z(y) = -y. Let n(h) = -8*h. Let d(p) = -n(p) + 10*z(p). Give f(d(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**3\/(r**(1\/3))**22 assuming r is positive.\nAnswer: r**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35937327 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 + 14*a**3 - 191*a**3.\nAnswer: -165*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -16. Let b be 2 + 12 - (-3 - (-5 - 1)). Suppose q = -2*o + b. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(77) + (sqrt(77)*4 - sqrt(77))*-2))\/(-3*6*sqrt(11)*-5))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 1 + 25 + (-80)\/20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2001514, 4003030, 6004546, 8006062, 10007578, 12009094?\n\"Answer: 2001516*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 10101516*k + 10101516*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 569*i - 572*i + 20 = 0, 0 = 3*d - 3*i + 27 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*r = -360*r - 196. Solve -o = -2*z + 1, -r*o + 11*o = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2616666 and 1020?\nAnswer: 444833220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 30561408.\nAnswer: 30561408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.01666916 and 0.3?\nAnswer: 0.71666916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 19\/5, 5, -2\/9, -1, -11\/3, -0.1, 2?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*f + 103704 = 0, f - 25914 = 306*z - 307*z. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4.7. Suppose 5*t - 105 = -b, -4*b = 2*t + t - 80. Suppose -18*q = -t*q. Put -0.3, q, x in decreasing order.\nAnswer: x, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 6. What is the units digit of i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38827 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6 + (-3 - 56\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c - 25. Let y be -11*2*c\/(-10). Let u = y + -8. Solve -4*l = -4*t, -u*t = 2*t + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 20 + 58. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21235 + -21040. Let j = 207 + -90. Calculate the highest common divisor of s and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v = 20. Suppose 4*y + 1 + 3 = -2*h, y + h = -3. Let u be y + (-1 - -3)*-3. Sort v, u, 3 in decreasing order.\nAnswer: v, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864086880 rounded to the nearest one hundred thousand?\nAnswer: 1864100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13020 (base 6) to base 9\nAnswer: 2613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 5, 0 in descending order.\nAnswer: 5, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -222\/7*m**4 - 108*m**3 + 0*m - 16\/7*m**5 + 0 + 14*m**2.\nAnswer: -2*m**2*(m + 7)**2*(8*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 598639.48 * -0.08\nAnswer: -47891.1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 33*u**2 + 24*u - 331. Calculate l(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 362.1 + -362.4. Sort y, 2611, 0.2.\nAnswer: y, 0.2, 2611","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(152)*-1*-1)\/((sqrt(32) - sqrt(3200)*-1)\/sqrt(4)).\nAnswer: -4*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1169 - 3550\/3. Find the common denominator of i and 215\/172*34\/(-25).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/(-91))\/(-2)*14\/1. Put 8, 22, y in descending order.\nAnswer: 22, 8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5940*x + 10 - 24 + 6 + 8 in the form n*x + r and give n.\nAnswer: -5940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioomkommoyooi. Give prob of sequence ko.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 426944 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7763906 litres to millilitres.\nAnswer: 776.3906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 36358*f - f**4 - 7*f**2 + 72715*f + f**3 - 36359*f in the form w*f**2 + x*f**3 + n + b*f**4 + m*f and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x**13)\/x)*x**11*(x*x**(-12)*x)\/(x**13\/x) assuming x is positive.\nAnswer: x**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 5. What is the nearest to p in 3\/7, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204265747.\nAnswer: 7, 457, 63853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4525*f**3 + 4*f**2 - 4*f - 19. Let b be d(3). What is b rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*l**3*z - 2*h*l*q*z - 199*h*q*z + 4*l**3*z - 10*l**3 + l**2*q + l*q wrt h?\nAnswer: 2*l**3*z - 2*l*q*z - 199*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180217?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) - (-58 + -20)\/7098 - (-1068)\/(-7449)\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 24. Calculate the common denominator of (1\/2)\/(d\/(-10)) and 24\/((-4)\/1) + (200\/24 - 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/14*10*(-30)\/675?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = 3*f. Let m(w) = -4*w - f + 0*w + 0. Suppose -j - 12 = -7. Let b(n) = -7*n - 5. What is j*m(z) + 3*b(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1080\/(-56)*(-8)\/20. Let y = -166\/21 + u. Does 0.1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = d - 7*u + 3*u, 3*u = 3*d - 42. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0 + 1 = -3*s, 3*y = s - 17. Suppose s*g = 1 + 9. Suppose -5*v = p - 6*p - 25, 0 = -g*v + 3*p + 15. Solve v = -j + 5*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 143693863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 16. Let l(i) = 8*i + 20. Let t(z) = -3*z - 7. Let o(u) = -4*l(u) - 11*t(u). Let v(x) = -3*f(x) + 16*o(x). Let h(g) = -5*g**2. Give v(h(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963225903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1254 - 36*d - 1254.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13447468 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -134, -298, -466, -638, -814?\n\"Answer: -2*p**2 - 158*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6889 divided by 290\nAnswer: -6889\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 99 and -0.2148.\nAnswer: -21.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35\/37 - -4622\/4847. Is c equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 82 = 38*u. What is the greatest common factor of u and 454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -45. Let z = g + -0.832. Let i = -0.168348 + z. Round i to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/3 - 5219*u**4\/6 + 915923*u**3\/6 + 3049055*u**2\/6 - 1008941*u\/2 - 155490 = 0.\nAnswer: -4, -1\/4, 1, 213, 1095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/888 and -143\/388944?\nAnswer: 388944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2880\/15)\/(-12) - -19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-222.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 21. Suppose b*n - 2*n = 95. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 + 5*v**5 + 0*v**5 + 16*v**2 - 19*v**2 wrt v.\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3424*r + 3351*r - 1825 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147734269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5820*x + 5825*x = 3*m - 3, -4*m + 4 = -4*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17422, 17429, 17440, 17455, 17474, 17497, 17524?\n\"Answer: 2*d**2 + d + 17419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4\/11 + 17*q**3\/11 + 27*q**2\/11 + 19*q\/11 + 5\/11 = 0.\nAnswer: -5\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 7) in base 10?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/((x\/(x\/(x\/(x\/(x\/(x**(4\/5)\/x))))*x))\/x))\/(x\/x**(1\/5)))\/(x**(-2\/3)\/(x*x**(3\/4))))**14 assuming x is positive.\nAnswer: x**(371\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 36*g**2 + 332*g + 745. Give z(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7041 + -4073. Let y = 2954.51 - w. Let f = 13 + y. Round f to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddcc when four letters picked without replacement from pdpppddpcncppppp.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(429) - (2*sqrt(429) + sqrt(429)))\/sqrt(11))\/(sqrt(75) + sqrt(75)*2)*5.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**4\/5 - 91476*z**3\/5 + 929762064*z**2\/5 - 3150033872832*z\/5 = 0.\nAnswer: 0, 10164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(-4)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 10, a + j + 7 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 174.\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.1. Let l = 11.28 - 11. Let j = 0.18 - l. Which is the second biggest value? (a) -2\/11 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 5125 = 2060 - 5170. Calculate the remainder when j is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 7a0062?\nAnswer: -7a0076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-33)\/(-198) + (-2)\/(-12))*3. Let u(i) = -2*i + 1. Give u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -136637*m + 136637*m - 6555*m**3 - 6506 wrt m?\nAnswer: -19665*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6745 or -1?\nAnswer: 6745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201 - -203. Suppose -m = -m - w*m. Put 5, 3, m in descending order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 41. Suppose 0 = -x + 1 + m. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + -3 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(11\/2)*c*c**13 assuming c is positive.\nAnswer: c**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -37.0029. What is v rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-165)\/2)\/((-3)\/4). Suppose 0 = 27*k - 627 + 33. What is the highest common divisor of k and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**3\/2 - 4*y. Let i be t(4). Calculate the greatest common divisor of 30 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 8607088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12717, 12711, 12695, 12663, 12609?\n\"Answer: -s**3 + s**2 - 2*s + 12719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 5, -4, 109, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315140655 by -105046885.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 36256\/110 + (-36)\/(-15) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:49 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 1\/2 (c) 1\/14 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -12*m + 10*m - 14, -10 = 2*m. Let o(q) = q**3 + 21*q**2 + 50*q + 38. Let s(y) = -21*y**2 - 51*y - 39. Let j(n) = v*s(n) + 3*o(n). Factor j(z).\nAnswer: 3*(z + 2)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 25. Let d(a) = a**3 + 6*a**2 + 4*a - 2. Calculate d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*k*t*z**3 + 2*k*t*z**2 + 75*k*t + 2*k*z + 421*t*z**3 - 2*z**2 wrt z.\nAnswer: 474*k*t + 2526*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.3 - 21538.\nAnswer: -21543.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/8 and -15\/160192.\nAnswer: 160192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4279 + 4279 + 140*f.\nAnswer: 140*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 124 = -7*t. Let m be (t\/30)\/2*15. Let v = 55 + -13. What is the highest common divisor of v and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 + 61*w - 427. What is n(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v**3 + 8*v**3 - 25*v**3 + 10*v**3 + 12*v**3 - 38*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(175))**2*6 - (-1 + -1*sqrt(175))) + 2 - (((sqrt(175) - (2 + (1*sqrt(175) - sqrt(175)))) + -4)*-2)**2.\nAnswer: 245*sqrt(7) + 3359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 1. Let o(x) = -x**3 + 5*x**2 - 12. Calculate -5*g(t) - o(t).\nAnswer: t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**2*x + 100487*r**2 + 3*r*x + 29747*r - 3*x wrt r.\nAnswer: -8*x + 200974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5\/7 - 40*c**4\/7 + 128*c**3\/7 - 128*c**2\/7 = 0. What is c?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.4, 0.5, 3\/2, -3\/5, -3\/371?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {o: 2, r: 4, b: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1902105\/28511 - 2\/4073. Let j = -67 + m. Which is the nearest to -1\/4? (a) 2 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 22. Let q be p(-10). Suppose -33 = -m - q*m. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 60862*w**2 + 19*w - 115. Let a be n(6). Suppose -10*y = 3008969 + a. Round y to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = z + 3*m + 2*m, -210 = -2*z - 3*m. Let n = 112 - z. Solve -1 + 5 = n*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3482*d**4 - 3*d - 1695?\nAnswer: -41784*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/112776409 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 63*a**2 + 147*a + 2128. List the prime factors of n(-13).\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 11468?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((456\/133)\/2)\/(4\/((-56)\/(-3)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 12*g**3 + 98*g**2 + 334*g + 2598. Calculate m(-8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 220 = 50*l. Suppose 3*k - 8 = 2*r, 0*k - 5*r + 2 = -2*k. Suppose 0 = 3*a - k*b + 33, 2*b = 2*a - b + 23. Is l less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 3058*a + 63775. Calculate w(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**4*o + 1477*b**2*o**2 - 18*b*o + 35*o**2 - 1 wrt b.\nAnswer: -36*b**2*o + 2954*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15160 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158275?\nAnswer: 5, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4057838 is divided by 96?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4266\/11359 or -1?\nAnswer: 4266\/11359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 + 12*h**4 + 35*h**3 - 12*h**2 - 36*h = 0. What is h?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 166, 202, 234, 262, 286, 306?\n\"Answer: -2*j**2 + 42*j + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -75372, -301590, -678722, -1206852, -1886064, -2716442?\n\"Answer: -14*t**3 - 75373*t**2 - t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2464*a**2 - 1244*a**2 - 1231*a**2. Let m(d) = 24*d. What is m(x(w))?\nAnswer: -264*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 1. Let a be x(2). Suppose -4*s + 72 = t - a, 5*t - 485 = 2*s. Suppose 3*v + 0*l = -5*l + 97, 3*v + 4*l = t. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1304666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwww when four letters picked without replacement from {u: 3, w: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3 + 11*c**2 + 36*c + 36 = 0.\nAnswer: -6, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 1, z: 5, c: 8}. Give prob of picking 1 z and 1 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-8))\/n**8)\/(n**(-1)*n*n**(-13)*n) assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2\/7, -25, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 36 + 20 = 0. Suppose -m = -3*i + 1. What is the biggest value in -0.3, i, -2\/3, -2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 40 = -8*q. Let d be (q\/(-18))\/(7\/21). Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44.9 times -9785\nAnswer: 439346.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100.78+0\nAnswer: -100.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3627*b + 17498 - 9623 = -6171*b - 21519 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:29 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4 (c) -0.1 (d) -0.5 (e) 0.2658 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from haffhafhaaaaha.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqycqcclqllykkllqkl. Give prob of picking 1 c and 1 q.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -7 - ((-3 - -4) + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0 - 6 - 2 + 9. Let d(h) = h + 1. Let p(r) = r + 7. Let i be p(-6). Let l(q) = i*d(q) - z(q). Let v(g) = 3*g**2. What is v(l(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2. Let l(q) = 12*q - 23*q + 0*q. Give i(l(o)).\nAnswer: -605*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 0. Let n(j) = j**3 + 3*j**2 - 3*j + 3. Calculate the smallest common multiple of n(y) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxlxxyxxxxllxlllxyx. What is prob of sequence yy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 0.03, 12\/11, 1 in ascending order.\nAnswer: -5, -2, 0.03, 1, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 = 2*p. Let x(d) = -4 - d**p - 13*d**2 + 8 - 9*d + 2 + 2. Let b be x(-12). What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/7 - 11974*u**3\/21 + 192790*u**2\/21 - 664282*u\/21 - 289680\/7 = 0. Calculate u.\nAnswer: -6035\/3, -1, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*u**3 + 129 - 129 + (-5 + 2*u + 5)*(-4*u**2 - 14*u**2 + 3*u**2).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3101, -13418, -30589, -54596, -85421?\n\"Answer: 3*o**3 - 3445*o**2 - 3*o + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 13\/4*j**3 - 1\/4*j**5 - 15*j**2 - 9*j + 5\/2*j**4.\nAnswer: -j*(j - 6)**2*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-368)\/(-4))\/1 + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 46420*z**3 + 46428*z**3 - 1.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 88 - ((-13 - (-13 + 11)) + 14 - 2)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 - 22*k**4 - 64*k**3 + 334*k**2 - 383*k + 136 = 0. Calculate k.\nAnswer: -17, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -5.09. Let y = -20 + v. Let g = 24.6 + y. What is the closest to 1 in -4\/7, g, 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1826 and 46838.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 6*f + 5*u - 62 = 0, -251 = -3*f - 2*u. Suppose 5*w - 217 = -4*x + x, -x + 2*w = -f. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/((-26)\/(-4) - 6). Let j(f) = p*f - 2 + 2*f - 4*f. What is j(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r - r)*(7*r - r - 2*r)*(-4*r**2 + r**2 + r**2 + (-3*r**2 + 0*r**2 + 0*r**2)*(-3 + 5 - 1)).\nAnswer: -40*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 4. Let x(v) = -4*v. Let y(u) = -5*u. Let m(p) = -4*x(p) + 3*y(p). What is o(m(a))?\nAnswer: -a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1652371 (base 8) to base 9.\nAnswer: -812114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-2*-3*sqrt(77) - sqrt(77))*6)\/((sqrt(77)*1)\/sqrt(11)*-6))**2.\nAnswer: 30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:31 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-4) + 4\/2. Put 2, -2, q in descending order.\nAnswer: 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-4) - (-18 - -44) and ((-183)\/2)\/(-32 - -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011101000100001111110 (base 2) in base 6?\nAnswer: 1432001434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*p**2\/17 + 24004082*p\/17 + 4000680\/17 = 0. Calculate p.\nAnswer: -2000340, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 58. Calculate l(19).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)\/(x**(-4)*x*x))\/(x**(-1\/2)*x**(-5\/3)) assuming x is positive.\nAnswer: x**(187\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooorrbroobroooobo. Give prob of picking 1 r and 1 b.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 282 = 8*x. Let h = x + 98. Let o(k) = 198*k**2 - 1 - k - 196*k**2 + 1 - 1. Let v(r) = 3*r**2 - r - 1. Determine h*v(d) - 5*o(d).\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 3424.\nAnswer: 23968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 10:18 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/(x\/(x**(-8\/3)\/x))*x*x)\/x)\/((x*x**3)\/x*x))\/((x*x**(-4)\/x)\/(x*x**(1\/2))))**(2\/25) assuming x is positive.\nAnswer: x**(-1\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbb. What is prob of picking 1 h and 2 b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 6*n. Let x be o(6). Let p(l) be the first derivative of l**4\/4 + l**3\/3 - 7*l - 1. Calculate p(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -672, -1487, -2618, -4059, -5804, -7847, -10182?\nAnswer: -12803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979*j - 456*j - 495*j.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (10\/3)\/(1\/3) and 27*4\/18*3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:29 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 775134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4076798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most -883\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 26 - 41 = 11*l, 3 - 5 = 2*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*j + 2754 = 492*j. Calculate the remainder when j is divided by (-2 + 22)\/2 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 38 = 4*d, 583678*d - 583677*d + 2*o - 55 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 11*v**2 - 11*v - 14. Let p(s) = -42*s + 6. Calculate the remainder when p(-2) is divided by t(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101459837?\nAnswer: 157, 277, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 73.14*-1\nAnswer: -73.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(275) + (sqrt(275) - sqrt(275)*1*-1))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + 12*k - 2. Calculate m(4).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = l - 2*h, -l - 2*h + 7*h + 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4344461 millennia in years?\nAnswer: 434.4461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143630 is divided by 1422.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 5*m - 5*v, 0 = -5*v. Suppose -m*o + 83 = 59. Suppose 6*n + o*n = 17402. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8721126.\nAnswer: 2, 3, 79, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 38\/10 - (-137)\/685. Solve 3*c = -2*y - 19, j*y - 2*y = -2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k + 312 + 290 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271460228 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.27. Let o = i + -0.03. Let u = 2\/645 + -1312\/7095. Sort o, -2\/13, u in descending order.\nAnswer: -2\/13, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-19*h - 76*h - 17*h).\nAnswer: 336*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 12:24 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/24)\/((-2)\/6*11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 9*v - 4*v = 3450, -v = 2*h - 1376. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (2 + 0 - 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 60 = -8*z. Let f(c) = c**3 + 9*c**2 - 11*c - 3. Let d be f(z). Suppose -d*u - 6 + 13 = 0. Let o(y) = y - 2. What is o(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2795, -11149, -25087, -44621, -69763, -100525?\n\"Answer: -2*a**3 - 2780*a**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16\/12759, 0.1, -2, 0.5, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x = -23*x + 3. Let d be (1\/x - 4\/3)\/2. Sort -1, d, 1, -0.12 in decreasing order.\nAnswer: 1, -0.12, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -43. Put 8, 5, u, 0 in descending order.\nAnswer: 8, 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yzyzyzzfyyyzyzzf?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101011 - 2?\nAnswer: -101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4844872 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -431531414?\nAnswer: 431531411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - 221?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k**2 + 10*k + 3. Is z(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i**4\/5 + 6516*i**3\/5 - 19584*i**2\/5 + 19596*i\/5 - 6534\/5 = 0. What is i?\nAnswer: -1089, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4 - 216*a**3 - 795*a**2 + 1458*a + 2040 = 0. What is a?\nAnswer: -68, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/13 (c) -2\/3 (d) -1 (e) -132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.2, -53\/3, -19?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10*(49834 - -7)\/11?\nAnswer: 2, 5, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 6*u**2 + 4*u**2)*(-u**3 + 0*u + 0*u) + (2*u**2 + 2*u**2 - 2*u - 2*u**2)*(-5*u**3 - 10*u + 10*u).\nAnswer: -9*u**5 + 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**7\/6 - 13*l**4\/4 - 72*l**2. Find the second derivative of p(z) wrt z.\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + 1 + sqrt(1900) + (sqrt(1900) - (0 + (sqrt(1900) + sqrt(1900) + 1 + sqrt(1900) - sqrt(1900)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 8*s - 39. Let x be 66\/s - (-16)\/(-32). Let i be ((-8)\/(-6))\/(x\/24). Solve 5*j + i*v = 2*j, -4*v + 6 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/7)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u + 1. Let g(j) = j**3 - 3*j**2 - 2*j - 5. Let n be g(4). Is r(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*h + 4 = 0, -4*c - 5*h + 5 = -4*h. Let b = 13 - 51\/4. Factor b*o + 1\/2 - 1\/4*o**c.\nAnswer: -(o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 46829005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 488224903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12537.60606 seconds to weeks.\nAnswer: 0.02073016875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4626)\/(-216) + -21)*12. Solve -49*g = -u + 348 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5 + a + 0*a + a**3 - 2 - a**2. Let q(s) = s**2 - 3598*s + 114112. Let u be q(32). Determine n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4761125?\nAnswer: 5, 41, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88051 and 1528?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9650981 is divided by 1166.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -13 - -33 - 25?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10246 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2 = 3*c, 4*n = -4*c - c + 1. Solve 4*z + c = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.42728 rounded to one dp?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 33 (b) 0 (c) 3\/7 (d) 84 (e) -10\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, 6.\nAnswer: -4, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6672 + -2561. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*p**2 - 125*p**2 + 6*p - 2*p - 60*p**2 - 2*p.\nAnswer: -149*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*c + 4*c - 1.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 3*x = -15*c + 2348, -471 = -c + 2*x. Is 67 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2286*v - 53189 - 32270 - 3695 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1937)\/894 - 13\/((-234)\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 841703440 divided by 210425860\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122203520, 122203521, 122203522, 122203523?\n\"Answer: y + 122203519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 7*k**2 - 7. Let q(g) = 11*g**3 + 4*g**2 + 9. Let n(v) = 5*v**3 + 2*v**2 + 4. Let z(f) = 13*n(f) - 6*q(f). Calculate -4*l(w) + 14*z(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.1. Let d = 6 - 10. Let y = -1 - -1.2. Which is the third biggest value? (a) y (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:04 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibibbbb. What is prob of sequence bb?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 105*s + 86*s - 14983 + 14985 + s + 3 - 3 + s - 2*s + 3*s + (s - 1 + 1)*(-2 - 1 + 5).\nAnswer: 196*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Let d(w) = -4*w**2 + 39*w + 11. Let n be d(10). Sort 3, n, r.\nAnswer: n, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5226, -5220, -5214?\nAnswer: -5208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354337695 by -35487.\nAnswer: -9985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.880583 years in decades?\nAnswer: 0.2880583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -113 - 40010?\nAnswer: -40123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m + 0*m)*(2*m - 5*m + 5*m) + m**2 + 0*m + 0*m + 5*m**2 - 7*m**2 - 5*m**2 + (3*m + m - m)*(m - 2 + 2) - 3*m**2 + 3*m**2 + 7*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20314 (base 5) in base 7?\nAnswer: 3614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + (sqrt(304) - sqrt(304)*-3))**2 - ((4 + sqrt(304))**2 + -2)).\nAnswer: -4547 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77937132965642259 - -77937132114300705.00000002. Let v = d - -851341562. Let s = -8 + v. Round s to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 4)\/(1\/2). Let x = g - 2. Suppose x*i - 8 - 1 = p, p - 9 = -2*i. What is the remainder when 4 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2492490 and 45318?\nAnswer: 2492490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -102993, -205985, -308977?\n\"Answer: -102992*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from rqffffrfffrrrfffrff?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in 9\/7, -0.505, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 - -72. What is the smallest value in -0.1, d, -5, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/2082 and 41\/2490.\nAnswer: 864030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-5) - -15)*(0 - -16). Let r = 314 - w. Solve f = -f - r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/99)\/((-4)\/(-165))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -155 + 1*-2 + 0. Suppose -747 - 528 = 5*c. Let f = p - c. What is the greatest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4192 and 4141303?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151506 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/12)\/(-9)*(-32)\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 58 = 2*n - 54, 5*w - 40 = 20*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {d: 1, i: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:02 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1776430090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 6. Let i(t) = -4*t + 17. Let o(m) = m**2 - 3*m - 14. Let y be o(6). Determine y*i(s) + 11*v(s).\nAnswer: -5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280.8818 months in millennia?\nAnswer: 0.10674015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -378110510*a*d + 545*d - 83551 wrt a?\nAnswer: -378110510*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -417, -624, -829, -1032?\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 8:10 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 + 10*s)*(s - s**3 - s - 2*s**3 + 3*s**3 + 2*s**3 + (-4 + 4 - 2*s)*(3*s**2 + 4*s**2 - s**2)) as h*s**4 + p*s**2 + u*s + t + k*s**3 and give h.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1477 smaller than -1477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0) + (8 - 4). Suppose 3*n - 6 = 0, -2*r - t = -r - 4*n. Let a be r + (-6)\/3 + -7. Is -4 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (1 - 5) + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 1, j: 1, z: 11, t: 2, b: 2}. Give prob of picking 1 h and 1 z.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -1)*8\/16. Suppose 0 = m - 3*m - r*x - 15, 3*x + 15 = -m. Let h be (3 + -5 - m)*-5. What is the greatest common divisor of h and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -7*l**3\/6 - 3*l**2\/2 + 5*l. Find the first derivative of b(g) wrt g.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69 - -37) + 29 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1025, -4.\nAnswer: -1025, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7593 or 7601?\nAnswer: 7593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) -1\/12 (c) -2252 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l - 4. Let r be 1 + (l - -1) - -3. What is the derivative of 3*d**3 + 3*d**3 - r*d**3 + 0*d**3 - 4 wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, d: 4, g: 3}. Give prob of sequence dd.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(475) + (-3*1*sqrt(76) + sqrt(76))**2.\nAnswer: 5*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - 4 - (0 - -3). Let z be (0 + a)\/(2\/728). Suppose 5*r = 166 + z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 - 13*s**3 - 220881854*s**2 - 11*s**3 + 220881854*s**2.\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -349 - -1070. Let g = -716 + y. Let m = 1 - 2. Which is the closest to -0.1? (a) -6 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 6:45 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 825*g**3 + 181*g**3 + 323*g**3 + (2*g**2 + 3 - 3)*(-3*g + 3*g + g) + 4*g**3 + 0*g**3 - 3*g**3.\nAnswer: 1332*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r - 3. Let a be f(-1). Let m = a + 1. Solve 0 = m*s - 2*q, 0 = -0*q + 4*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91325, -91320, -91313, -91304?\nAnswer: -91293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 64, -1\/3, 0.09, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbbb when four letters picked without replacement from {b: 3, s: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 153251 + 145?\nAnswer: 153416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6328 - -6403 - (3 + (-1 - (4 + -1 + -1)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10631 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: Let h(g) = 10*g - 167. Determine h(13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-3*(sqrt(425) + (4*(sqrt(425)*2 - sqrt(425)) - sqrt(425) - sqrt(425)))*-2 + 2)*-1)**2.\nAnswer: 360*sqrt(17) + 137704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/12 - 7*g**3\/6 + 9*g**2\/2 + 4*g. Let m be j(-8). Let p be (-4)\/(-2) - m\/(-1). Solve z = -c, -p*c + c = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -67. Let l(h) = -h**3 + 3*h - 1. Let y be l(2). Let w = y - 2. Let a(j) = -3*j**2 - j - 1. Let n(r) = -r**2. What is k*a(u) + w*n(u)?\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*l**2 + 13*l**2 + 399*l**2 + 116*l**2 as k*l**2 + b + s*l and give k.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112*l - 900*l + 16 - 19 - 40*l.\nAnswer: -2052*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2157*q**3 - 12*q + 13 wrt q?\nAnswer: 12942*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 22*o - 12. Suppose 24 = -4*i - 3*p, -3*p + 12 = -0*p. Calculate the remainder when k(i) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (24\/3)\/((-4)\/(-8))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.099 rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 6*w + w + 2 - 2 + 3*w - 4*w + 4*w + 2*w + w + 2*w + w + (2 + 0 - 3)*(-6*w + 2*w + 2*w).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*o - 81 = -2*x - 92*o, 2*x - 3*o - 77 = 0. Which is smaller: x or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6*12\/(-4). Let i be 15\/20 - 26\/y. Suppose 3*w - i*p + p = 63, -p - 75 = -4*w. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3852, -14954, -33340, -59010, -91964, -132202, -179724?\nAnswer: -234530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -p + 148 - 448, 140 = 2*q - 3*p. Let a = q + -73. Suppose h + a*r - 1137 = 0, 2*r + 1141 = h + 4*r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142410455 (base 6) to base 7.\nAnswer: 33602300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118 and 16?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7505 = 5*j, 63*o = 5*j + 59*o - 7505. What are the prime factors of j?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3213*d**2*o + 3758*o wrt d.\nAnswer: 6426*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f**2 + 133*f - 23. Calculate i(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:30 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - t = 8, -67*d + 3*t - 1 = -65*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = -21*m - 528. Calculate the greatest common factor of m and 744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121840.\nAnswer: 2, 5, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -3*i**2 + 1\/2*i**3 - 1\/60*i**5 + 1\/8*i**4 + 0 + 0*i. Let m(f) = f**2 - 2*f - 2. What is 3*m(k) + 2*p(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*p**3 - 34*p**3 - 73*p**3 + (p**2 - p**2 + p**2)*(4*p - 5*p + 3*p))*(3*p**2 - 3*p**2 + 2*p**2).\nAnswer: -164*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 13 - (-3 - 0)) + -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q**2 + 0*q - 8\/3*q**3 - 134 + 1\/2*q**4 + 8\/5*q**5 - 1\/3*q**6. Find r, given that y(r) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154965268?\nAnswer: 2, 17, 134053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127705352 divided by -50357.\nAnswer: -2536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-12)*t*t)\/t)**5 assuming t is positive.\nAnswer: t**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000075849 to 6 dps.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3023334 (base 5) to base 7.\nAnswer: -261450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.9201421 - -29.92. Round b to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8007 - -8011. Let a(z) be the second derivative of 2*z**3 + 0 + 20*z + 5\/12*z**p + 0*z**2. What is the second derivative of a(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 30 - 17 - 6. Let a(o) = 5*o + 8. Calculate 6*a(d) - 7*c(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.023659 greater than -18322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Let w(q) be the second derivative of 0*q**2 + 6*q - 133\/6*q**3 + 0. Determine b(w(t)).\nAnswer: -17689*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)\/c)\/c*c\/c**32*c*c**17\/(c\/c**(-29)) assuming c is positive.\nAnswer: c**(-403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -538 + 539. Let j be (-28)\/(-24) + (q\/(-2) - 1). Which is the nearest to j? (a) -2 (b) 4 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 15*h**4 + 115*h**3 - 50*h**2 - 80*h = 0.\nAnswer: -8, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = 0, -4*d = -n - 0*n - 17. Suppose -3*w + d + 0 = 0. Sort -5, w, -1 in decreasing order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.6*-61\nAnswer: -341.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/14388 and -103\/2491522.\nAnswer: 14949132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13463581, -13463583, -13463585, -13463587?\n\"Answer: -2*m - 13463579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 + 0.04. Let a = -3.8 + -0.2. Let g = a - -2. Is g greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 + 20 = -4*a. Let q = a - -128\/3. Suppose 0*b + 3*b - 3 = 0. Is b <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10216.6022 + 8.\nAnswer: -10208.6022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189\/5 - 38. Let g be (-4)\/(-5) + ((-44)\/5 - -2). Let o(w) = w**3 + 6*w**2 + 2*w + 9. Let l be o(g). Sort l, d, -2\/19.\nAnswer: l, d, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 24 = -d, -c + 274*d + 14 = 275*d + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 x, and 1 f when three letters picked without replacement from icfqssx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + 2*sqrt(1280))*1)**2.\nAnswer: 5120*sqrt(5) + 82320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v\/(v\/(v\/(((v**(2\/15)\/v)\/v*v)\/v)))))))\/v)\/(v*v*v\/((v\/(v*v**0))\/v)*v) assuming v is positive.\nAnswer: v**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -207*u**2 - 11*u + 3. Let p(i) = 309*i**2 + 16*i - 4. Let x(c) = -8*m(c) - 5*p(c). Is x(1) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1\/7, 0.015, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -113883674\nAnswer: -45553469.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 2*a**2 + a**2)*(a**2 + a**2 - 3*a**2) + 2*a - 3 - 116*a**4 - 8 + 10.\nAnswer: -115*a**4 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -533 or -262223?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 206\/12 - 7\/42. Suppose 25 = 2*i + x. Solve 5*j - 6 = i*h + 4, -2*j = -4*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let f(s) = s**3 + 5*s**2 + 2*s + 2. Let l(b) = -2*a(b) + f(b). What is the remainder when 2\/14 + 34\/7 is divided by l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/95 + 3 + (-839500)\/(-38). Let h = -14196 + c. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 14 = 0. Suppose -3*t + g = 5*n - 6, -t = -3*n + 5. Round n to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192*t**3 - 122*t**3 + 62*t**3 + 113*t + 36*t wrt t?\nAnswer: -1512*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107445 and 1365?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/5 - 17*o**4\/24 - 7*o**3\/6 + o**2 - 12*o. List the prime factors of f(5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-96) + (-3)\/(-8))\/((-8)\/(-5148)). Are n and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 582\nAnswer: -11.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1209596 divided by 44.\nAnswer: -302399\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiikk. Give prob of sequence ii.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**7\/180 + 19*t**6\/360 + t**5\/5 - t**4\/4 - 2*t**3\/3 + 90*t**2. Let k(w) be the second derivative of y(w). Factor k(s).\nAnswer: 2*(s + 1)*(7*s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*y + 65*y + 169*y - 3.\nAnswer: -4*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 8}. What is prob of picking 2 k and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*q - 21, r - 4*q = -0*r + 17. Let h = 25 - 15. Suppose h*c - 12*c = -8. Solve 2*b - r = -9*j + c*j, -b = 5*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v, 4*h - 5*v - 56 = -3*v. Calculate the remainder when ((-92)\/12 + 2 + -1)*-6 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 3*t - 2, 41*v - 46*v + 2*t + 7 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 9 = 3*u, 0 = k + 2*u - 4*u + 6. Suppose 5 = 2*g + 1. Suppose g*d = -0*d + 2. Sort d, k, -1 in decreasing order.\nAnswer: d, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13434*j**2*w**2 + 3*j*w**2 - 9*j*w - 133*j wrt j?\nAnswer: -26868*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**(-1\/2)\/x)))\/(x*(x\/((x\/(x**(8\/3)\/x))\/x))\/x*x))\/(x*x\/(x\/(x*x**2*x))*x*x**(3\/13)*x) assuming x is positive.\nAnswer: x**(-967\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1201*w**2 + 20*w + 112. Is l(-4) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 89?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/13)\/j)*j\/((j\/(j\/j**(-7)))\/j))**9 assuming j is positive.\nAnswer: j**(1269\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69 and 25.\nAnswer: -1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 7*r + 19, 5*l + 43 = -5*r + 68 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*d + 407*d - 200*d + 113 as f*d + w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + -1*sqrt(833) + -3 + -1*sqrt(833))**2.\nAnswer: 168*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.730241 - 1.73. Round v to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-5) + 12\/15. What is the third derivative of 2*h**2 - 214*h**4 - 6 - 221*h**q + 430*h**4 + h**5 wrt h?\nAnswer: 60*h**2 - 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 798\/57 + 87*4. Solve -371 = -3*w - i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:36 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1312268*q**2. Let z(t) = -2*t + 24. Give z(p(b)).\nAnswer: 2624536*b**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11555 + -1135?\nAnswer: 10420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-8)*((-12)\/21)\/((-117)\/(-273)). Solve y - 21 = -4*l, -2*y + 2*l = -p*y + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 10 = -2*v + 7, 2*v = 4*q - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - -652. Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-21)*a*a)\/a**(-8) assuming a is positive.\nAnswer: a**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from araarara?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 10\/(-75)*-9)\/((-702)\/90)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 48. Find the common denominator of (-4)\/14 - (-962)\/(-308) and (3\/z)\/((-4)\/(-86)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2054, 6283, 13332, 23201, 35890, 51399, 69728?\nAnswer: 90877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-17)*4\/6. Let x = -18.4 - -30. Let g = x - 3.6. Which is the biggest value? (a) 1 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2 (c) -47 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f + g - 95, -50 = -2*f + 2*g. Suppose 412 = -6*z + 382. Let a be (z - (-16)\/4)\/(-1). Solve 5*r - f = 4*j, r + 4*j = -j - a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s - 1 + (-3*s + s + 0*s)*(-3 + 2 + 3))*(162 + 1250 - 96 + (0 + 0 - 1)*(-5 + 1 + 2)).\nAnswer: -7908*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -14702000 to the nearest 100000.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -3\/8 (c) -4\/3 (d) 1\/7 (e) -0.3532 (f) -0.5 (g) 234\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/4 (c) 2\/325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + 5*j**2 - 2. Let v(u) = -u**2 - 76*u - 863. Let i be v(-14). Let m(p) = -2*p**3 - 3*p**2 + 1. What is i*m(d) + 3*w(d)?\nAnswer: -d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(((x\/(x\/(x*x*x**(-2\/31)*x*x)))\/x)\/x))\/x)\/((x\/x**(1\/20))\/x))**(-28)*(((x\/(x*x**(-2\/11)*x))\/x)**(7\/2))**15 assuming x is positive.\nAnswer: x**(-72737\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43271 - -22217. What is the highest common divisor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34578.\nAnswer: 2, 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -1. Let x = -7 + g. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 575 - 552. Calculate the greatest common divisor of r and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 27. Let i be j(7). Let v(u) = -7*u**2 - u. Give v(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9288 - -9295. Let f(l) = 33*l - 1. Let q(k) = 49*k - 2. Determine y*f(g) - 5*q(g).\nAnswer: -14*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 315, 310, 305, 300, 295?\n\"Answer: -5*k + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17946 * 12.4\nAnswer: 222530.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 + 3*p**3 - 12*p**3 + 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -247*q**3 + 37*q?\nAnswer: -1482*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (3 - 5) - -7. Suppose -4*x + 167 = -81. Suppose 218 = 8*j - x. Solve 0*s + 2*s - 2*c + 20 = 0, -y*s - j = -3*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8316 = 14*k + 12572. Which is smaller: k or -1495?\nAnswer: -1495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x - 3. Let n be r(-3). Suppose -n*q = d - 35, -96 - 55 = -4*d - q. Suppose -5*j + d + 17 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 16. Let x = 203 + -135. Let a(n) = x - i*n**2 - 68. Let f(z) = -2*z. Give f(a(b)).\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.174, -0.014, 2, -1 in increasing order.\nAnswer: -1, -0.014, 0.174, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1221\/(-1665))\/(2\/(-30)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (11 + (-28 - -10) - 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1460 divided by -124.\nAnswer: 365\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, n: 3, j: 1, a: 1, b: 1}. What is prob of picking 1 n and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 + 9.85. Let j = -6 + u. Which is the closest to -1\/3? (a) 2\/3 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.1 + 7. Let c be (-2)\/2 + 3828\/(-27). Let z = c + 143. Is z > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729139 is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = v - 3, -4*v + 5*j - 12 = 0. Let n(o) = 0*o**2 - 5*o + o + o**2 - v*o + 3. Determine n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {g: 3, c: 3, x: 1, z: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 535441046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:38 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -36, 3, -2 in ascending order.\nAnswer: -36, -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1927, -3853, -5777, -7699?\nAnswer: -9619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 - r**3 + 5*r**3 + (2 + 0 - 3)*(r**3 - 2*r**3 - r**3) + (9 + 4*r - 9)*(4*r - 4*r + 2*r**2) + 133*r**3 + 147*r**3 - 13*r**3.\nAnswer: 279*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69921 and 40041?\nAnswer: 311078529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + j + 0 + 3 to i*j + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*b - 5*m, 5*m = 3*b - 14 - 0. Let q(h) = -h**2 - h + 7 + 10 + 5*h**b - 18. Calculate q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3 + 64617*y**2 + 348430512*y + 5211928980 = 0?\nAnswer: -10762, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -60*c - 28*c + 284, -l - 4*l - 2*c - 48 = c for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1217 or -1208?\nAnswer: -1217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53c166 - -a?\nAnswer: 53c172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 + 4*j)*(0*j - 4*j + 2*j)*(18*j - j - 6*j).\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 183. Is (-1)\/4 + a\/(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 20, 19, 10, -7, -32?\n\"Answer: -4*v**2 + 19*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -15\/7, -3\/5, -2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116732937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let m = 380\/7 - 54. Which is the nearest to m? (a) 0.4 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*b + 19*b - 8*b - b**2 + 1 + 1 to the form m*b**2 + o + h*b and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 24415*g**2. Let v(r) = -1756*r. Determine v(s(i)).\nAnswer: -42872740*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -884\/21 less than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5 - 3. Let r be 5*((-24)\/15)\/d. Let z(m) = -5*m + 1 - 3 + m**2 + 10*m. Give z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 - 105. Let x = a - 65. Put 3, -2, x in descending order.\nAnswer: x, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -7, 2\/39, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 103*w. Let a(p) = 3*p**2. Determine v(a(r)).\nAnswer: 309*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204234, 408462, 612690, 816918?\nAnswer: 1021146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14877\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17 - 9 + m + 27 + 4*m**2 - m**2. Calculate d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-4\/7)*x*x\/x**(2\/5))**(-43) assuming x is positive.\nAnswer: x**(-4558\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -162708 divided by -21\nAnswer: 7748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852753?\nAnswer: 7, 61, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 130 - 367 + 7*v + 111.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 13, -3, -39, -101, -195?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - f + 7953 + 17754 + 11473.\nAnswer: -2*f + 37180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 24*q**2 + 166*q - 2. Let p be 1\/((4\/42)\/(12\/(-18))). Calculate the lowest common multiple of o(p) and 212.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let i be f(-5). Let y be (-2 - 18\/(-4))*-2. Put y, i, -1 in ascending order.\nAnswer: y, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((21\/15 - 3) + 74\/740)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/1 + 20\/5. Let l be 4 + -7 + g - -8. Suppose -l*n = 4*f - 868, -455 = -2*f - 0*f + 5*n. Round f to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w**44*w))\/w)\/w)\/w)**(-28\/3) assuming w is positive.\nAnswer: w**(1316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-165)*-9*5\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76739245 to the nearest integer?\nAnswer: 8760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (32\/98)\/((-3196)\/(-5593))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdzzddddzbpbdbdbzb. What is prob of sequence zbd?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -34. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -37. Let d be a\/(-6)*27\/6. Suppose -d*h - 4*m + 6 = 0, 2*h + 2 = 2*m + 6. Solve 0 = s - h*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23689.3 * 54.\nAnswer: -1279222.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15*52*(-1)\/6. Calculate the remainder when 78 is divided by ((-152)\/(-190))\/((-4)\/s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3169758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 4)\/((-6)\/9). Let y = -3.4 - 0.6. Let n = 4.4 + y. Which is the third biggest value? (a) v (b) n (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1215474, -1215461, -1215434, -1215387, -1215314, -1215209?\nAnswer: -1215066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49769011, -99538022, -149307029, -199076032?\n\"Answer: 2*q**2 - 49769017*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -17. Suppose -16 = h*v - 46. Let q be -4 + -3 + v - 3. Is q at least 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 11. What is the units digit of d(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 30 = 50 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 10, y: 2, c: 3}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 164634.5 years in millennia?\nAnswer: 164.6345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.11 - -0.11. Let k = 2 + z. What is the biggest value in k, -3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 111, 3 in ascending order.\nAnswer: -5, -2, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 8:57 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761138277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 915.\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (156 - 98 - (35 + -5)) + 33\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 4*i + 836. Let b be l(27). What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 13.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296\/485 - 1\/97. Let w = -5 + 0. What is the third smallest value in w, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6434288714 - 0.\nAnswer: 6434288714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 3*s + 9*s**2 + (-2*s - s + s)*(0 - 1 + 3)*(-5*s + 3 - 5 + 4*s) as q*s + k*s**2 + z and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 183*a - 1374. Calculate the remainder when s(-8) is divided by 34\/(1 + 1)*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 137158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -7*o - 25, -4*o = -3*d - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*z**3 - 51*g*z**2 + 8*z**3 - z wrt z?\nAnswer: 6*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3\/3 - 2836*v**2\/3 - 501260*v\/3 + 504100\/3 = 0. What is v?\nAnswer: -355, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0.021.\nAnswer: 5.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 + 3 = 0. Let s be -2 + (-2 - 82\/b). List the prime factors of s\/(-10)*(-2 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295935\/31 - 9548. Calculate the common denominator of i and -28\/9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -760, -1773, -3192, -5017, -7248?\nAnswer: -9885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1090*f + 7615. Give j(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + -16 + 17 - (4 + -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -53*l**4\/24 + l**3 + 20*l**2. What is the units digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -8, -23, -56, -113, -200?\n\"Answer: -d**3 + 4*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -48*w - 3. Determine s(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - 5*o)*(-54*o**2 - o**2 - 332*o**2 + 7*o**2).\nAnswer: 1900*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 220, 221, 220, 217, 212, 205?\n\"Answer: -x**2 + 4*x + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475) - sqrt(95)\/sqrt(5)*-2)**2 - (-5*sqrt(684)*1 + (4*(sqrt(684) + -2))**2).\nAnswer: -8272 + 414*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 18 + 6 + 11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*a**3 + 183*a**3 - 22749*a**2 + 177*a**3.\nAnswer: a**3 - 22749*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 39309.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 6*a - 6*a)*(2*a**2 + a**2 - a**2) + 10*a**3 + 10*a**3 + 14*a**3 - a**3 + 0*a**3 + 5*a**3 to the form f + j*a + m*a**3 + b*a**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -2.1. Let t = 1039\/1815 + 10\/363. Put t, l, -3\/2, -4 in ascending order.\nAnswer: -4, -3\/2, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*n**2 - n - 103*n**2 - 4 + 2 + 3 in the form x*n**2 + f + u*n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11440*m*x + x - 269 wrt m?\nAnswer: 11440*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1. Let s(d) = 3*d - 9. Suppose 2*j - 92 = -2*j - 4*h, -4*j + 4*h = -116. Suppose 0*m + 4*m = -2*x - j, -3*x + 9 = -2*m. Determine m*o(t) - s(t).\nAnswer: -3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153249.\nAnswer: 3, 23, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f*(f*f\/f**0)\/f)*f*f**(-3\/5))\/(f\/(f\/(f*(f**1*f*f)\/f))*f)**29 assuming f is positive.\nAnswer: f**(-588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.19 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58, 65, 74, 85, 98?\n\"Answer: m**2 + 4*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1a997 (base 15) to base 16\nAnswer: 1520e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-82)\/(-123)*9\/(-2). Let m be u\/(15\/(-20)) + 0. Solve m*b - 6 = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10550645 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11394320 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 10*y - 4*y. Suppose j - 3 = -2*z, y*j + 5*z = 25 - 5. Suppose 2*r + 2*q = 3*r + 4, -2*r = -j*q + 10. Is -0.4 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392454 take away -13493?\nAnswer: 405947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Let n = -0.25 + 0.05. Which is the closest to -1? (a) d (b) n (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 1, e: 1, o: 1, z: 1}. Give prob of sequence ous.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6181?\nAnswer: 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 - 8*p**2 + 11*p + 6. Suppose -3*o - 3*n = 2*o + 13, -2*n + 3 = o. Let q(h) = -4*h**3 - 5*h**2 + 7*h + 4. Determine o*g(b) + 8*q(b).\nAnswer: -2*b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*h - 4*h - 124*h + h + 5*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -987*f = 559*f + 3365 - 164149 for f.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 4*(-4 - -3). Let p(l) = -2 - 9*l + 3*l**2 + o*l + 4*l - 2*l**2. Calculate p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1143302652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*g + 46. Suppose 4*j = j + 9. Suppose -5*s = -h - 5, -s + 4 = h + j. Solve 5*z - 16 = g*n - n, -4*z = h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -77\/51782 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27590233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4 - -5.4. What is the third smallest value in -2, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -513878 and -513876 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -169, -170, -171, -172?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6630 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: What is the nearest to 1\/4 in -3, -0.06, -902, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00105 or 33\/113?\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -13*q**2 + 43*q - 41*q + 2*q**3 + 18 + q**3. Let h(p) = -2*p**3 + 6*p**2 - p - 9. Let a(x) = 5*h(x) + 3*j(x). What is i in a(i) = 0?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -5 (c) -1\/3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/64*(-8)\/(-72)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*j**3 - 43 + 799*j**3 + 43.\nAnswer: 1311*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 2 + 2)*(-72*h - 359*h + 15614330 - 15614313).\nAnswer: 431*h**3 - 17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240a56 (base 15) to base 6.\nAnswer: -100535313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 534339 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 341*q**2 - 803721*q - 37710. Give a(2357).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5747*x - 140 + 17 + 108 + 15 in the form r + g*x and give g.\nAnswer: -5747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {w: 1, v: 2, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:12 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + 70. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 - 31366220*z**2 + 49191987854420*z = 0. What is z?\nAnswer: 0, 3136622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-1)\/(-2))*0. Suppose -n + 9 = 4*j, -n + 9 = -q*n + 2*j. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + 9b5322?\nAnswer: 9b5311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 0*b + 4*b**3 + 2*b + 3*b**3 - 37*b**3 in the form c*b**2 + o*b + d*b**3 + i and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 8) in base 3?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -183, -22, -2, 3, -4, 4.\nAnswer: -183, -22, -4, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24082 = -2733*z - 84208 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, a: 5, n: 8}. What is prob of picking 1 n and 1 d?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4108548?\nAnswer: 2, 3, 342379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -88. What is the smallest common multiple of 33 and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*h + 1 = 0, -6*h = 5*j - 21*j + 14*j + 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -11\/2*n**2 - 9401\/3*n**3 + 14 - 10*n. Let b be m(-10). What is b rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 2*g. Let q(f) = -2*f - 2. Calculate the remainder when q(-6) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5 = -5*n, 2*g + 4 = 6*g - 4*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*w - 8 = 0, -z - 2*z + 5*w - 19 = 0. Solve z*v = -r - 2*r + 7, 0 = -v + 3*r - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 982530 and 540.\nAnswer: 1965060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1369 divide 7748330543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 - 203?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.91. Let d = 27 - 26.71. Let z = h - d. What is the closest to 0.1 in 5, z, -5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - -92) + 14 + 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17488110 rounded to the nearest 100000?\nAnswer: -17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/(-798) + 144875\/21 + 2\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1 (b) 2\/11 (c) 13.28 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 4*d + 21. Calculate w(8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598736?\nAnswer: 2, 23, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 60. Suppose -1080 = 170*l - 206*l. What is s(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 6, x: 4}. What is prob of picking 1 a and 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352 - 349. Solve -o*i + 28 = -4*n, -i = 4*n - 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8947.961 millilitres in litres?\nAnswer: 8.947961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j**(-1\/3))\/(j\/j**(-5)*j\/(j*j**(-3)\/j*j)*j*j)*(j*j**(2\/3)*j*j*j)**(2\/67)*j**(1\/7)*j*j*j**0 assuming j is positive.\nAnswer: j**(-4245\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146123 is divided by 1249.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392 divided by -29?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7905 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 17. Suppose 10*y + 53 = 5*y + f, -2*f = y + 4. Let d be z(y). Solve 2*p + 8 = 3*b, -d*b + 3*b - 16 = 4*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9278 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m + 1. Let q(t) = 24*t - 124 + 127 - 31*t. Determine -11*n(u) + 6*q(u).\nAnswer: 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 8*p + 95. Let f be n(20). Let q = f - -897. Solve 0 = -t - 2*b - 4 + 17, -4*t + q = 3*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -12*f**5 - 39*f**4 + 108*f**3 - 6*f**2 - 96*f + 45 = 0?\nAnswer: -5, -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-18)*23\/(-138)*(-45)\/(-50)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 855 + -835. What is the highest common factor of j and 1270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/(m**16*m)))*(m*m**9*m)\/m*m**(-8)\/(m*m**(1\/10)) assuming m is positive.\nAnswer: m**(-151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-11 - (5 - 9)) + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*s - s - 8 = 0, 0 = -5*d - 3*s + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2146273 or -2146279?\nAnswer: -2146273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 23. Determine k(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 8}. Give prob of sequence vo.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, x: 3, q: 1, n: 2, m: 1, r: 1}. Give prob of sequence nzzx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b\/b**(-1\/4)*b)))*b*b)\/b)**31\/((b**(-1)\/b)\/b)**(-6\/11)*(b\/b**0*b)**(-14)\/(((b\/(b*b*(b*b**(1\/7))\/b*b))\/b)\/b*b**1) assuming b is positive.\nAnswer: b**(-10547\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -9*v**4\/28 - 2053*v**3\/7 - 527364*v**2\/7 - 350892*v\/7 - 2816. Factor n(d).\nAnswer: -3*(d + 342)**2*(3*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 2384*j + 139132. Calculate f(-57).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 16711?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -4818 = -4824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 268\/(-74370)*148*5\/2*225\/20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 75894220*u**2\/7 + 719991578676050*u\/7.\nAnswer: 2*u*(u - 18973555)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 820 and 1.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 428 and 0.065?\nAnswer: 27.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2371*k - 516873. Determine j(218).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24b0 - -60?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 837, 3681, 6525?\nAnswer: 9369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 21*o = -24*o - 11429, -c = -4*o - 2867. Let l = c + -1868. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-2\/9)*k)\/k)\/((k*(k\/(k*k*k*k*k*k**(-1\/2)*k*k*k))\/k)\/k)*(k*k**1)**(-2\/47))**(-22\/9) assuming k is positive.\nAnswer: k**(-76241\/3807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let l(h) = -h**2 - 2. Let m(a) = -15*a**2 - 33. Let q(x) = 33*l(x) - 2*m(x). Give w(q(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3024050 and 3326455.\nAnswer: 33264550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -23. Suppose -l*x = 3*u - 9, -2 = -4*x - 5*u + 6. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*s*v**3 - 5686*s*v**2 - 1275*s*v - 6*s + 5*v**3 - 7*v**2 - 69*v - 21 wrt v?\nAnswer: -360*s*v - 11372*s + 30*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669221.9l in millilitres?\nAnswer: 669221900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 365*j - 250*j - 274*j. Let u(l) = -3*l**2. Give u(v(k)).\nAnswer: -75843*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146 - 96. Let c = 76 - 71. What is the lowest common multiple of q and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -4 - (-1 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 61*m + 108. Let d be k(4). Calculate the highest common divisor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*980\/(-700)*2\/2\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70143432?\nAnswer: 2, 3, 499, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -29*a**3 + 4*a**2 + 23*a. Let t(r) = -24*r**3 + 5*r**2 + 24*r. What is 5*s(q) - 4*t(q)?\nAnswer: -49*q**3 + 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 102537, 102540, 102545, 102552, 102561, 102572, 102585?\n\"Answer: p**2 + 102536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65494411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 1) + (556 - 446) - 27.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910.3529 years to decades.\nAnswer: 91.03529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/11 - (-455)\/(-143). Let d be ((-6)\/9)\/(120\/54 - 2). What is the hundreds digit of n*1*d\/(36\/596)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - z**2 - 3*z**2 + (3*z - 4*z + 2*z)*(-3*z + z + z) + 2*z**2 + 1 - 1 + (-62*z**2 - 60*z**2 + 135*z**2)*(-5 - 1 - 4).\nAnswer: -131*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1698 and 584809878.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 82851 = 18*b - 725801. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -314522413 (base 6) to base 11\nAnswer: -3149990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4040615 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*sqrt(2) - (sqrt(1024) + sqrt(16))\/sqrt(8) - (-2 + (sqrt(98) - ((sqrt(98)*-1 - sqrt(98) - sqrt(98) - sqrt(98)) + sqrt(98))))**2*-6.\nAnswer: -685*sqrt(2) + 9432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7216224\/7 smaller than -1030889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 42*t + 1246. What is the remainder when r(-13) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/(-2) + (-95)\/38. Solve 0 = -h - z - 2 - 3, -w = 5*h - 3*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34876712.\nAnswer: 2, 13, 491, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -35\/8 (c) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -39*r**3 + 5*r**2 - 5*r - 128. Let y(c) = c**2 - c. Let b(t) = i(t) - 5*y(t). Differentiate b(z) with respect to z.\nAnswer: -117*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 2*k**2 + k**2 - 4*k**2 + 3*k**2 + 0*k**2 + (k - 3*k + 3*k)*(2*k - 4*k + k) - 3*k**2 + 6*k**2 - 5*k**2 + 43 + 60*k**2 - 43.\nAnswer: 58*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2144*i + 74 = -2107*i. Factor -3\/2*b**4 + 3\/2*b**3 + 0 + 0*b + 0*b**i.\nAnswer: -3*b**3*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 10, 1 in decreasing order.\nAnswer: 10, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.5 + 8.2. Let q = 46.7 + d. Let g = 52 - q. What is g rounded to 0 decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/2*16\/(-20). What is the nearest to 0 in -5, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:11 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d - 3ab?\nAnswer: -37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 - 81. Solve -y*d - 24 = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5 - r**2 + 3 - 6*r + 0 + 1. Let w be i(-7). Solve -u = 2 + w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1163352041, -1163352040, -1163352039, -1163352038?\nAnswer: -1163352037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2 + 10219712*l + 26110628340736 = 0. What is l?\nAnswer: -5109856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 1) + 0\/(-1). Solve 4*a + 4 + 0 = h*n, -4*n - 6 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -17\/2*y**2 + 0 - y + 0*y**4 + 0*y**3 + 0*y**5 - 17\/30*y**6. What is the first derivative of h(b) wrt b?\nAnswer: -68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**2 + 21*z + 21. Let s(d) = d + 1. What is 84*s(y) - 4*t(y)?\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 8*i + 144. Calculate z(13).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 2*h + 2. Let d(g) = 10*g**2 - 7*g - 7. Let n be (1 - (3 + -5)) + -9. What is n*d(p) - 21*l(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 9*f + 87 = 0. Let w(t) = -t**3 + 5*t**2 + 6*t - 1. Let a be w(5). Suppose x = 2*x - a. What is the greatest common divisor of f and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/12)\/(90\/(-300)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1805 + 3*b - 1805. Let p(n) = 41*n**2. Give p(m(q)).\nAnswer: 369*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:37 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2 - 3*(-11 - 2). Suppose -7*c - 3*c + h = 0. Suppose -40 = -c*i - 2*u, -2*u = i + 3*u - 10. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 61 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-6 - (-11 + 0) - (18 + 6))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((4425903\/4)\/(-3))\/(19*111\/(-2812)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4681*q + 6. Let l(v) = -4*v - 4. Give -l(d) - n(d).\nAnswer: 4685*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40722)\/165)\/(-2*(-1)\/(-85)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (17 + -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 2. Let n be (10\/(-10))\/((-1)\/(-3)). Let d be a(n). Calculate the remainder when 37 is divided by d*((-68)\/(-12) - 2\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*m**2 + 17*m**2 + 25*m + 10*m**2)*(3*m + 6*m - 2*m).\nAnswer: -42*m**3 + 175*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7034779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11111001 (base 2) to base 10\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.008?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289457316*u**2 - 423047942*u.\nAnswer: 578914632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z - 222. Calculate the remainder when 654 is divided by k(59).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjz when three letters picked without replacement from {j: 1, w: 1, c: 5, z: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t + 4. Let f be -2*((-2)\/4 - t). Let s = 4 - -1. Sort 1, s, f in increasing order.\nAnswer: f, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x - 7. Let d be x\/(-3) + 1 - 1. Suppose d*z - 18 = z. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -39*d - 744. What is c(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -0*n + 4*n - 2*u, 7*n = 12*n - 3*n + 3*u - 22 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.4+-6110.38538\nAnswer: -6108.98538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 509453\/18 - 28311. Find the common denominator of 101\/576 and z.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:22 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330727530 and 3535?\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5305 + -1?\nAnswer: -5310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/380517, 2, 0.1, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0365 + -7.5115. Let v = h + -0.025. Let l = -3.7 - v. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(((-150)\/20)\/(3\/(-3))).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*j - 1048*j - 16694 = -213*j - 192*j for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 328422703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1384 (c) -2\/7 (d) -200\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -29. Let p(f) = -f**2 + 29*f - 64. Let h(j) = -3*j**2 + 59*j - 128. Let z(k) = x*p(k) - 3*h(k). Solve z(t) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 9) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100113320131 (base 4) to base 16\nAnswer: -417e1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 545285.\nAnswer: 4907565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - sqrt(78)*4*4 - sqrt(78))\/(5*sqrt(48)\/sqrt(8)).\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 128269 * -22.4\nAnswer: -2873225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {y: 2, h: 4, t: 4, z: 1, b: 2, v: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(26\/260 - (-56)\/240)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15278.7603 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -44?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24*d + 2407 = 29*d, 1196 = 2*h + 4*d. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-544596)\/(-273) - (-1)\/7. What is the highest common divisor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -9.19, -3.7, -0.13 in descending order.\nAnswer: 0.4, -0.13, -3.7, -4, -9.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1325 and 0.\nAnswer: 1.1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 34 = -c. Does 20 divide 0 + c - (7 - 10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 342 - 563. Let w = 2 + g. Let z be 3*(1 - (217\/w)\/(-1)). Is 0 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -2*f**2 + 0*f**4 + 0 + 0*f**3 - 97\/15*f**5 + 11*f. Let r(q) = q. Give y(r(u)).\nAnswer: -388*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 38*j**2 + 70*j - 69. Let n be p(-36). Factor 2\/9*w**2 + 0*w + 2\/3*w**4 + 0 + 2\/3*w**n + 2\/9*w**5.\nAnswer: 2*w**2*(w + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 48 = p. Let l = p + 6. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184307640937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 477616891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 117.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from okokkkkkkko?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m + 3*m**4)*(6*m + 0*m - 4*m) + (0*m - 3*m + 2*m)*(11*m**4 - 5*m + 5*m) - 4*m**4 + 4*m**4 - m**5.\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-897 + 4251 + 3449)*(-c - 3*c + 3*c) to m*c + s and give m.\nAnswer: -6803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 1. Let b(r) = 9*r + 1. Let i(c) = -6*b(c) - 13*s(c). Let k be i(5). Let v(y) = -6*y - 4. Let p be v(k). What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6128 - 6266. What is the fourth smallest value in 1, -0.4, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -1ac?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Let h = 5 + -3. What is the second derivative of 146*l - 151*l + h*l**2 - p*l**2 wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42748991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031373735 rounded to four decimal places?\nAnswer: 0.0314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741*y**2 + 541*y**2 + 289*y + 169*y - 458*y.\nAnswer: 1282*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133.1 + -132.7. Let s = 8 + -6. Which is the closest to s? (a) x (b) 0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 1, v: 1, h: 1, r: 1, c: 2}. Give prob of picking 1 x and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**2 + 345*v + 1038. Determine l(-3).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lell when four letters picked without replacement from {v: 2, y: 10, l: 5, j: 1, e: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -152, -156, -162, -170, -180?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - ((0 - -22) + -133 + 104)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3666868.\nAnswer: 2, 43, 21319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**3\/3 - 25*g**2\/2 - 99*g - 203. Let u be i(-20). Which is the nearest to u? (a) 0 (b) -2 (c) 1\/10 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (423\/(-94))\/(1*(-11)\/22). Suppose -4*t + 200 = t. Solve b*o - o = t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 13, w: 1}. Give prob of picking 1 y and 1 u.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15)\/((b\/b**3)\/b))**37*b**26\/(b**(-3\/5)*b\/b**4) assuming b is positive.\nAnswer: b**(2183\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*2\/24*(0 + (-2)\/1). What is the closest to r in 0.3, -0.4, -645, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -60*y - 287 - 70 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/(-21))\/((-9)\/210). Suppose x = 22*u - 50. Solve -j + 6 = u*i, 2*i - j = -2 + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143 + 6400. Is 109 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1331) - (1 + sqrt(1331))*-4) + sqrt(1331) + 1 + 4 - 2*(sqrt(1331) + 2 + sqrt(1331) + -1))**2.\nAnswer: 308*sqrt(11) + 5373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 14) to base 6\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*h + 9 = -210*h. Put -10, h, -5 in decreasing order.\nAnswer: h, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z + 1. Let h be (6\/4)\/(21\/90) - 8\/(-14). Calculate d(h).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(70\/4))\/(28\/35)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4 = -p. Suppose -3*z = -5*h + 12, -7*z + p*z = 2*h + 12. Suppose -12 = -h*f + 3*f. Put f, 1, 5 in decreasing order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*(2 - 6)\/12. Let q = -117 + m. Is q < -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15 from 7238.5.\nAnswer: 7238.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 531353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142352843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29556.66 millennia to months.\nAnswer: 354679920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z + 164*z - 26*z - 118*z - 34*z**2.\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0555960876 to 6 decimal places.\nAnswer: -0.055596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2613.7 - -2613.62. What is the closest to -0.2 in -1\/7, -4, g, 2\/17?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 833 and 77231?\nAnswer: 540617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 24*n + 601 = 0. Let x be (158\/14 - 4) + 4\/(-14). Suppose 15 = x*c - n. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u = 699 - 2643. Suppose 2*c - 68 - 4 = 0. What is the least common multiple of c and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*w = -6*w + 2*w - 6*w - 49, -2*w = 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 7:03 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, 34, 137, 334, 655, 1130, 1789?\n\"Answer: 5*z**3 + 2*z**2 - 2*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 406 - -4675602?\nAnswer: 4676210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (1 + -1)\/2. Let g(d) = -d - 1. Let p be g(h). Let i(x) = 15*x + 4*x**2 + 20*x - 2 + 19*x - 56*x. What is i(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(7)) + -2.\nAnswer: -4*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/9 - 224*l**2\/3 + 13713*l - 476010.\nAnswer: (l - 369)*(l - 258)*(l - 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*t - 347*t = 810, 6 - 31 = 5*h + 3*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/56 and 107\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(35) + (-1*sqrt(315) - sqrt(35)) + sqrt(245)\/(sqrt(7) - (sqrt(42)\/sqrt(6) - sqrt(7))))\/(((1*sqrt(50))\/sqrt(2))\/sqrt(5)*2).\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -725 at most as big as -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -4, -0.4, 2\/3, 12\/17.\nAnswer: -4, -0.4, 1\/3, 2\/3, 12\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from jjjjjgjjjggj.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*m - 250*m + 473*m - 4.\nAnswer: 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4 + 19 = 0, -5*c = -z + 50. What is the remainder when 69 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363387 divided by 3?\nAnswer: -121129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 12*q**2 + 9*q + 16. Let i be x(11). What is the hundreds digit of (27\/(-6))\/(i\/204)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1.27021.\nAnswer: 5.08084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 242*w - 4833. Give v(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497002700?\nAnswer: 2, 5, 89, 55843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -232020 divided by -11601\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*(r*((r**(-2\/5)*r)\/r)\/r)\/r)**(-5\/3)\/(((r**(-3\/4)*r)\/r)\/r**(-2)) assuming r is positive.\nAnswer: r**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.956 - 0.044. Let w = f + 3. Let t = -17.0000038 - w. Round t to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11166998 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -568 + b?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 14*j = 0. Solve j*l + 6 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -14 + 6 + -3 + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20.1858+100362430\nAnswer: 100362409.8142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -1969d08?\nAnswer: 1969d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5576846861.\nAnswer: 5576846861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 60 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let b(k) = 15*k - 731*k**2 + 10*k + 730*k**2. Calculate u(b(w)).\nAnswer: -w**4 + 50*w**3 - 625*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2039, -7074, -22269, -43552, -70929, -104406, -143989?\n\"Answer: -c**3 - 3035*c**2 - c + 5076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2590131 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(1 - (-3 - -1*6)). Suppose -3*g - 5*u = -12, 3*g - u - 30 = -d*g. Calculate the remainder when g is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + sqrt(288) + (sqrt(288)*-2 + sqrt(288))**2 + 2 + sqrt(288) + -2.\nAnswer: 24*sqrt(2) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 7) + 11 - (-1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 10*g + 5. Let x(l) = l**3 - 18*l**2 + 18*l - 9. What is the remainder when d(-5) is divided by x(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -218, -215, -210, -203, -194, -183?\n\"Answer: w**2 - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 - q - 3. Let h be i(-4). Suppose 6*g - 76 = g + x, -h = x. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkryikye. What is prob of sequence irr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 + 17*g**2 + 9*g - 8. Let z(h) = h**3 + 2*h**2 + 2*h. Calculate -p(x) + 5*z(x).\nAnswer: 2*x**3 - 7*x**2 + x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/4 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2279030 divided by 455806\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 42*r**2 + 5*r - 5. Let p(w) = 40*w**2 + 4*w - 4. Calculate -5*p(h) + 4*x(h).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*m = -57*m - 69336. What is the highest common factor of 216 and m?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/9)\/(c*c**(-7\/4)) assuming c is positive.\nAnswer: c**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 755.1259 weeks?\nAnswer: 456700144.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11\/2)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:21 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105.95 - 102. Let q = 0.05 + g. What is the biggest value in q, 3\/5, 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 27*o - 2*o**3 + 7 + 5*o**4 + 4*o**3 - 3*o**4 - 1 as d*o**2 + f*o**3 + s*o**4 + k + y*o and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a day in minutes?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 112*r + 41. What is p(-2)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-16\/7)\/c))*c)\/(c*(c*(c*c*c*c**(1\/12)*c*c*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-703\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1693.34 and 25.\nAnswer: 42333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 179253705 and 894?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3538985\/119 - 29740. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {a: 19, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11000001000 (base 2) to base 6\nAnswer: -11052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d + 144*d - 55*d - 52*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194988 is divided by 443?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-60))\/((-2)\/(-15)). Let l be 5\/3 - (-6)\/i. What is the nearest to 1\/4 in 1, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v**3 - v - 1. Let p be j(-1). Is (-2)\/9 + (-4223)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6152344*r**4 + 7043047 wrt r?\nAnswer: -24609376*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (20 - (9 - -2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-8)\/(-2520))\/(204\/340)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 26*l**2 - 3*l + 521. Is j(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 13*c**2 + 27*c - 198. Give l(4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/4 + (-3)\/(-6) + 4. Is 125649\/23*v\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*u = 139*u + 630. Let p be (-3)\/((-10)\/(-8) + -2). Put p, u, -4, 7 in increasing order.\nAnswer: -4, p, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 - -0.21. Let u = 3.9 + n. Which is the nearest to -4? (a) -4 (b) u (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2, -755, 5 in decreasing order.\nAnswer: 5, 4, -2, -5, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 513 + -4117\/8. Suppose 0 = -3*u + 54*f - 57*f - 15, 1 = -5*u + f. Is u > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10\/4*(3 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/(-15)*(-325)\/(-260)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g - 3*g, 0 = -v + 4*g - 6. Let y(s) = -7*s + 6. Let z be ((-8)\/32)\/((6\/(-8))\/3). Let c(n) = n - 1. Let l(w) = z*y(w) + 5*c(w). Determine l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 20 = 4*z, -19 - 1 = -5*t + 4*z. Suppose 742 = 4*l - t*s - s, 3*l - 557 = s. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6020.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82392.9083 rounded to the nearest 100?\nAnswer: 82400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 divided by -6?\nAnswer: -121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 9:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-112896)*56*(-24)\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 2*c**3 + 10*c**3 - 7*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 6*q**2 - 3*q - 5. Let b be y(-6). Suppose 5*t + 4*z - 12 = 0, 2*z + 15 = t + 7*z. Suppose t = -5*p - b + 53. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0416 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6850421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from iixisyxxsisiixiswii.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 4*y - x, -2*y = 3*x - 2*x - 47. Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 20. Suppose r = -0*h - 2*h + 4. Calculate the highest common factor of 5 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -27. Suppose 5*r = 0, 5*r + 6 = 4*a - 14. Solve -u + 18 = -5*y, -a*u - 1 - q = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5290, -10932, -16578, -22228, -27882?\nAnswer: -33540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 47. Let a = 9.7 - -0.3. Let t = a - 5. What is the third smallest value in -1, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {i: 3, c: 1, l: 7, m: 5}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 4. Let n be s(5). Let m be 64\/30 - -1*10\/(-75). Put n, m, 1 in descending order.\nAnswer: m, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 913 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25242157 to the nearest integer?\nAnswer: 5024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 + -632457?\nAnswer: -632551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 6. Let d be ((-4)\/6)\/(5\/(-60)). Let a be k(d). Solve a = 2*i - 5*s - 8, -2*i = -4*s - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 18 + (13 - 15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1433 to two decimal places.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 45. Let y be 51\/9 - d*(-4)\/(-30). Suppose 0 = -y*b - 4*q + 21, 5*b - 5*q - 13 = -7*q. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3479699 (b) -0.53 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/15))**(-8)*n\/(n*n**(3\/31)\/n)*n\/(n**(-3\/13)*n) assuming n is positive.\nAnswer: n**(-6041\/6045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 611*g**6\/60 + 41*g**5\/60 + 3*g**3 + 6*g**2 - 53*g. What is the third derivative of j(y) wrt y?\nAnswer: 7332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.2 and -173.\nAnswer: -726.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1294 = 16*u + 6110. Let v = -298 - u. Calculate the greatest common divisor of 237 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101 + 33 - -105) + (0 - 19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.88 and 209223.5?\nAnswer: 184116.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6535286 + 2070535.\nAnswer: 8605821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4184160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/4 + d**2\/2 + d\/4 - 1\/2 = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/25)\/((-17)\/(-85))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 112. Suppose -4*w + 152 = 32. What is the highest common factor of p and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24942*k**4*s**3 + 78*k**4*s + 4617*s**3 + 430*s**2 wrt k.\nAnswer: 99768*k**3*s**3 + 312*k**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6941\/126 + -1312\/21. Find the common denominator of 29\/926 and q.\nAnswer: 8334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 928, 1857, 2786, 3715?\nAnswer: 4644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041069755 to 7 dps.\nAnswer: -0.0004107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4, -5, -4.\nAnswer: -5, -4, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -2.7. Let j = -2297\/11 + 209. What is the closest to -0.1 in j, 2, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {t: 11, e: 9}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/15, 3\/4, 16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*v + 689*v = 1376*v - 224 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1781*v + 22. Determine a(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*t - 384 = -2*a + 118*t, 4*t = 3*a - 570. What is the least common multiple of 34 and a?\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 + 4 = 0. Let w(y) = y**2 - 2*y + 5. Let b be w(i). Solve 5 + 6 = 5*a - 3*f, -a + b*f = 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 23*c - 41*c + 3*c. Let u(w) = -5*w - 2. Calculate u(v(z)).\nAnswer: 75*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, 2498, 1, -3, -5 in decreasing order.\nAnswer: 2498, 230, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 6*u**2 + u + 6. Let z be w(-6). Let x be 6*(2\/4 + z). Let c(h) = 2*h**2 + 4*h + 3. Let k be c(-1). Solve -x*p = -10 + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -14555?\nAnswer: -7277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 14*k - 24. Let g(x) = -x**2 - 16*x + 25. Let p(o) = 4*g(o) + 5*y(o). Calculate p(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(484) - -2*sqrt(484))\/sqrt(11))\/((sqrt(8) + sqrt(8) + sqrt(8)*1)\/sqrt(4)))\/(-3*(-3*sqrt(242) - sqrt(242))*-6))**2.\nAnswer: 1\/57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/3 in 128, 29, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32358\/280 - 118\/(-3304). Is 116 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 1 + 1 - 4 - 1 - t + 1 + (-3*t - 2*t + 4*t)*(-3 - 1 + 2).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 7*w + 6. Let i be c(-6). Suppose -2*h + i*h + 9 = s, 5*h - 16 = 4*s. Let v be ((-2)\/6 - 1) + s. Are v and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 73 (b) -1\/3 (c) -5\/87 (d) 3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 20, 13, -6, -37?\n\"Answer: -6*m**2 + 23*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/3, 24.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -50*v + 11. Let z(x) = -331*x - 2968. Let b be z(-9). Let d(p) = -17*p + 4. Determine b*d(t) - 4*g(t).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(7\/35*-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -486 and -20455 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4\/11 + 2796*j**3\/11 + 5576*j**2\/11 - 11184*j\/11 - 22336\/11 = 0.\nAnswer: -1396, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-360)\/27)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3437 = 1758. List the prime factors of i.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 47 = -o. Suppose y = 15 + o. Suppose v - 194 = -y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8403400 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1136134413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840*w - 868*w = -770594 + 245566. List the prime factors of w.\nAnswer: 17, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.386 - 0.256. Let r = -4.4 - -4.67. Let l = u + r. Which is the third smallest value? (a) 2\/9 (b) 2 (c) l (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 915 + -913. Which is the biggest value? (a) 5 (b) -8 (c) 1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*h - 756 = -262*h. Suppose 0 = -4*y - 38 - 10. What is the remainder when 15 is divided by y\/h + (-69)\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 4:16 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -20*l - 10. Let m be v(-1). Suppose -2*s = -2*i + 308, i - 139 = -4*s + 15. Suppose 9*u = m*u - i. What are the prime factors of u?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -58213*j + 232868. What is z(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2528 (base 10) to base 7.\nAnswer: -10241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10050884?\nAnswer: 2, 2512721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/20 - 2*j**2. Let k(b) = -3*b**2 - 10*b. Let a(f) = 8*f**2 + 28*f. Let n(z) = -5*a(z) - 14*k(z). What is n(q(t))?\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11434 - 5?\nAnswer: 11426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 7*r**5\/15 - 11*r**4\/8 - 2*r**3 - 2*r**2 - 76. Is y(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1249186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**7\/n)\/n)*n)\/(n**(-15)\/n*n)*n**(-3)\/(n*n*n**(2\/13)*n*n) assuming n is positive.\nAnswer: n**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13938.\nAnswer: 2, 3, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1556772.3 months?\nAnswer: 1297.31025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209764*h + 209760*h - 839044*h + 209757*h + 209760*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fe0 (base 16) to base 5.\nAnswer: -112224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 20*z**3 + 8*z**2 + 123*z + 3. Let x(c) = c - 1. Let k(a) = n(a) + 3*x(a). Find the second derivative of k(u) wrt u.\nAnswer: 120*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*o = 15*o - 177, 0 = -2*x - 4*o + 58 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677341 divided by -2?\nAnswer: -677341\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110264700 divided by 12\nAnswer: -9188725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {r: 7, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4002965\nAnswer: 3\/4002965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 - -68a9e?\nAnswer: 68a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 326960363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(((sqrt(245)\/(sqrt(7)*1) - sqrt(35))\/((sqrt(15) + (sqrt(135) - sqrt(15) - sqrt(15)))\/sqrt(3)) + 2)*4)**2.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 414\/19, 5, 1.3, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13*s + 5*s - s - 6*s. Let z(n) = -33*n**2. Determine z(x(j)).\nAnswer: -3993*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s - 4*k - 140, 3*s - 220 = -4*k. Suppose 15*l = 16*l - 21. Let j be (-24)\/(-64) + l\/s. Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + -1.54. Let s = 1 + p. Let m(l) = l**2 - 16*l + 28. Let z be m(14). Which is the nearest to 0? (a) 0.3 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyiiyyiyyiyyyyi. Give prob of sequence iii.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*d + 135*d = 1145446. Is d a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0 - 1. Suppose -2*g = -9 + 5. Let z(f) = -4 - 1 + 13*f + 4 + g. Determine z(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(486) - sqrt(486)*1))\/(sqrt(3) - ((sqrt(162) - sqrt(18))\/sqrt(6) + sqrt(3)) - (sqrt(3) - 1*sqrt(75))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 7168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -483, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4417 - 4411. Let m(g) be the third derivative of 0 - 1\/168*g**8 + 0*g + 1\/105*g**7 + 0*g**v + 0*g**4 - 14*g**2 + 0*g**5 + 0*g**3. Factor m(s).\nAnswer: -2*s**4*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 20*w + 15. Let x be n(24). Let r = x + 140. Suppose 57*s = r*s - 276. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 180957408?\nAnswer: 904787040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -85\/13?\nAnswer: -85\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = -26*l + 12*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*g - 2 = 0, 2*g + g = 2*r - 22. Find the third derivative of -5*s**2 + r*s**5 - 4*s**5 - s**2 wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/((-52470)\/108)*-5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, 2, -1\/2, 104, 0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 33 - 2*k**2 - 38 as j*k + n + f*k**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and -55448?\nAnswer: 55456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*j + 13983, -2*j + 4*j - m - 9328 = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/16 (b) 1\/6 (c) 1\/4 (d) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2656598.7 hours to days.\nAnswer: 110691.6125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000347749 to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/13))**(3\/25) assuming h is positive.\nAnswer: h**(-12\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 20075\nAnswer: 28\/20075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/9)*j\/(j*j*j*j\/(j\/j**(-2\/59))*j*j)*j)**(-3) assuming j is positive.\nAnswer: j**(1339\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) 3\/19 (c) -1 (d) -1\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 379050 and 124555830?\nAnswer: 622779150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -689 - -1193. Suppose 0 = -4*k + 11*g - 7*g + z, -k - 2*g + 123 = 0. Calculate the highest common divisor of 100 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*9\/(-7) + 1. Let u be (-50)\/6 + 16 + (-49)\/7. Let h = 0 + -1. What is the nearest to u in 2, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02961 to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m - 80 = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5 (c) -38.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79674735?\nAnswer: 3, 5, 7, 108401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooyyooxyqyoo. Give prob of picking 1 y and 1 o.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((1000\/(-5400))\/((-1)\/27))\/((-3)\/((-252)\/(-10)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 1 g when three letters picked without replacement from nkkeg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 2. Let b(d) = -d + 1. Calculate -a(v) - 4*b(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5 + 248300*t**4 + 3080657365*t**3 - 49342921610*t**2 + 138848642460*t + 499710257640 = 0. Calculate t.\nAnswer: -24838, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -14 - s + 17 + 13. Suppose -2*u + 4*u + 230 = -x, 0 = 4*u + x + 458. Let n be (-6)\/7 + u\/(-133). Calculate o(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 672*l**2 - 126*l + 126. Let w(s) = -s**2 + 3*s - 3. What is p(k) + 42*w(k)?\nAnswer: 630*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 8*s**2 - s + 9. Suppose 177 - 145 = 4*g. Calculate h(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*((s**(-2\/9)*s*s)\/s)\/s*s)\/s**(-5))\/(s**(2\/5))**46)**35)**(-2\/5) assuming s is positive.\nAnswer: s**(7322\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 35. Let i(o) = 3*o + 5. What are the prime factors of i(a)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000001000101 - -1101010?\nAnswer: 100000010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5130 + 812?\nAnswer: -4217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*k - 6*k + 10511 = 0, 2*k - 3512 = -t. List the prime factors of t.\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5713\/4 or 1429?\nAnswer: 1429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 818 + -1289. Let l be 20\/8 + y\/(-6). Calculate the highest common factor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 1. Let a(v) = 10*v - 12. What is -2*a(p) - 22*q(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkokkvkkkkok. Give prob of sequence kkv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 8:32 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l - 60. Let o be v(-2). Let w be o\/(-1102) + (-2 - -1). Is w > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let q(w) = 18 + 47 - 103*w**2 + 13 - 77. Determine q(l(x)).\nAnswer: -103*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbyababbylllbarlb. What is prob of sequence lab?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 239400 and 1224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 e, and 1 h when four letters picked without replacement from zlelloeehleozle?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6031300 and 242.\nAnswer: 66344300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - p - p + 4*p. Suppose -3*w + 6*v + 14 = v, 2*w + 12 = -2*v. Calculate k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 29650423. Let l(v) = 9*v. Determine o(l(f)).\nAnswer: -18*f - 29650423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 0*d**3 + 3\/7*d**4 - 3\/7*d**2 + 0.\nAnswer: 3*d**2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = k + 70, 4*b - 5*k - 33 = 23. Suppose 3*h - b = -5. Suppose 12 = 5*y - h. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 + 181. Find the third derivative of y**2 + y**z + 28*y**3 - 8*y**2 - 6*y**2 wrt y.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (19 + -6 - 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t + 8. Suppose b - 23 = -4*j - 2, -2*b + j + 6 = 0. Differentiate b + d**4 - t - 2 with respect to d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 2*n**7\/945 + 7*n**6\/270 + 11*n**5\/135 + 5*n**4\/54 + 14*n**2 + 1. Factor y(k).\nAnswer: 4*k*(k + 1)**2*(k + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 + -9 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224436 + 107116. Let z = x - -25810349\/220. Find the common denominator of z and -29\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75783 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 9039.99?\nAnswer: 9036.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/9 - (-8)\/(-9) - (-1241993)\/813 is divided by 1515.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058 is divided by 342?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 159505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + 3*c)*(-c**4 - 2*c + 2*c) - 5*c**5 + 7*c**4 - 4*c**4 + 4*c**5.\nAnswer: -2*c**5 + 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 10) to base 8.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.995 centuries in months?\nAnswer: 566394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feefffffeefffierffe. What is prob of sequence fi?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 328567, 657120, 985659, 1314178, 1642671, 1971132, 2299555?\n\"Answer: -i**3 - i**2 + 328563*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 13807822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by ((-18)\/27)\/((-2)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**6\/45 - d**5\/20 - 7*d**4\/9 - 11*d**3\/6 - 5*d**2\/3 - 189*d. Suppose n(w) = 0. What is w?\nAnswer: -2, -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/6 + 7*o**3\/6 + 15*o**2\/2 + 15*o. Let b be i(-5). Let q be b\/(-6)*(-44)\/(-10). Which is bigger: q or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 88?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854512458?\nAnswer: 2, 3, 31, 59, 77867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-20)\/(-280)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8378630?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 265263 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**7)**(4\/7))**(-5) assuming a is positive.\nAnswer: a**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1335, -579, 679, 2439?\nAnswer: 4701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifffiifiyiyfzfffivf. What is prob of sequence fy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 437.\nAnswer: -3\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 188 = 2*l, 78 = q + 5*l - 110. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 23*g + 3 = 4*h, 595*g - 592*g = -3*h - 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 119. Calculate the remainder when d is divided by 1\/(4\/(-48)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 5*i**2 - 3*i + 13. Let d be o(-3). Let v be (2\/d)\/((-3)\/(-18)*1). Suppose 0 = -v*y + 6*y. Which is smaller: -2\/21 or y?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = o, -4*o - 9 = 4*v - 1. Let h = o + 5. Suppose -2*b + 80 = 2*b. Solve h*i + b = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, 4, -2, 2\/3, 9\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*(w*w**(1\/7))\/w*w**(-8)\/(w\/w**(1\/4)))\/((w*(((w*w\/w**(-1\/3))\/w)\/w)\/w)\/(w*w*w**(-1)))**(12\/11) assuming w is positive.\nAnswer: w**(-3351\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8366 (base 14) in base 11?\nAnswer: -16003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 2*f**2 - 13*f**2 + 10*f**2 + 0*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791*r + 775*r + 528 = 0. Solve r - 11 = 22*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.1, -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.3? (a) -3 (b) -4 (c) -1\/53572 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 10:30 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 69*t**2 - 90*t**2 - 93*t**2.\nAnswer: -114*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1377.1 - 1427.274. Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*j - 3. Suppose 25 - 7 = j*p. Suppose -3*q = i - 2*i - p, i + 2*q - 16 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40, -3, 0.5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 301 + 499. Is 7792 + (-18)\/8*b\/75 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.639 - 0.339. Let q = 0.30462 - m. Round q to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 685982 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**8\/56 - 7*o**4\/24 - 5*o**2. Find the second derivative of u(g) wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-35))\/(5\/28). Let s = 8\/25 + t. Sort 5, s, -1 in decreasing order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:53 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27742058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, i: 5}. What is prob of picking 2 i and 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -8*k + 8*k - 9 - k. Let s be a(-8). Put -2, 4, s in decreasing order.\nAnswer: 4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282590741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 b when three letters picked without replacement from {b: 7, s: 1, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*o - 3, 2*n + 2*n - o - 3 = 0. Let r(j) = 1 - 4 + 1 - 3*j**2. Let d(z) = -z**2 - 1. What is n*r(u) - 2*d(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l + 3*d + 11, -6 = -3*l + 4*d. Solve 0*b - l*b - 18 = 2*q, -3*q + 3*b = 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 + 104. Suppose -564 = -f*c + 9248. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**2 - 6 + 6)*(-m**2 + 4*m**2 - 5*m**2).\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 37248*j. Let a(i) = -259*i. Determine a(t(x)).\nAnswer: -9647232*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 2*a**2 - 142*a - 35 - 118*a.\nAnswer: -5*a**2 - 260*a - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9899028 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0*j**2 + 0*j**4 - 1\/14*j**7 + 0*j**6 + 0*j**5 + 0 - 13\/6*j**3 - 3*j. What is the second derivative of n(k) wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 247*z + 243*z = 0, -32*w + 8*z - 160 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-4 + 91640090705\/1855214410). Let b = -146\/716299 - k. Let o = -1344\/37 + b. Find the common denominator of 3\/11 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 2:10 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 10. Let r be (-12)\/(-2 - (-16)\/10). Suppose -o + 12 = 4*z - 33, -4*z = -y*o - r. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 14*a + 18 = 0. Suppose -4*c + r + 14742 = a*r, -2*c + 2*r = -7356. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**7\/21 + f**6\/6 + 19*f**5\/10 - 38*f**4\/3 + 26*f**3 - 45*f**2\/2 + 12*f - 189. Solve p(q) = 0 for q.\nAnswer: -5, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 8. Suppose 2*t + 69 - 21 = 0. Let k be t\/60 + (-2)\/y. Solve k = 3*n - 5 - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 467 + -464. Suppose -c*h = 2 - 11. Solve -h*d = -3*w - 9, -7 = 2*w + 2*w + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t, 2*l - 4*t = -2*l + 68. Suppose -2*v + 5 = -i, 0*v - v - 4*i = -l. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 42?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p**2. Let x(n) = -201*n - 7640. Give x(g(m)).\nAnswer: 3216*m**2 - 7640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*v**4 + 1481*v**3 - v**2 - 6139*v + 10 wrt v?\nAnswer: -216*v + 8886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36274477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 + 14115*q + 141250 = 0. What is q?\nAnswer: -10, 14125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x**(-9\/5))\/((x*x**(-6\/11)\/x)\/(x\/(x**(-14)*x*x)*x*x)) assuming x is positive.\nAnswer: x**(866\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0*a**3 - 35\/8*a**4 + 18*a**2 - 2\/15*a**5 + 0 + 3*a. What is the second derivative of d(u) wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6 - 77*l**5 + 3*l**3 + 14587*l**2 wrt l.\nAnswer: -120*l**3 - 4620*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9053390*j**3 - j**2 - 110914059*j.\nAnswer: -54320340*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 40, 56, 72?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1 + 3*d**2 + 1 - 5*d + 5 - 10. Let u(i) = 4*i**2 - 2*i - 2*i**2 + 4 - 6. Calculate 2*f(k) - 5*u(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihfqehqfhhfi. What is prob of sequence hif?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3279800.79 minutes?\nAnswer: 325.3770625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - 0)\/(3 - 5). Suppose -3*w = -21 + f. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {b: 4, v: 4, f: 3, j: 2, c: 1, m: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 321673.67 and -11.\nAnswer: 321662.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 306.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {v: 17, r: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 838928066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -24, -4, 32, 90, 176?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(8\/7)*o*o)\/((o**(4\/3)*o)\/o))**(-16))**37)**(-3) assuming o is positive.\nAnswer: o**(22496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbebebbb. Give prob of sequence bbbb.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44480*i + 22249*i + 22172*i.\nAnswer: -59*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1147195 and -1147195 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 70*x + 42. Does 21 divide r(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 92, -67, -208, -325, -412, -463?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from dddeddtdtd.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose l = 2*q - 4 - 0. Suppose -4*v + v = -q*g + 3, 0 = 2*g - 6. What is the remainder when 2 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 15) in base 4?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 5*n - 23, 0*n = 3*n + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17552 to the nearest 100.\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/36 + s**4\/16 - s**3\/18 + 4*s**2. Find t such that c(t) = 0.\nAnswer: 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + -60. Suppose x*t + 28 = 27*t. Solve -11 - 9 = t*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -128*f**4*n*o - f**4 - f*n*o - n*o + 2*o + 57 wrt f?\nAnswer: -512*f**3*n*o - 4*f**3 - n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/((-10248)\/(-84))*-67*(-4)\/4.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 (base 12) in base 6?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*j + 3*h, -j + 4*h = j - 8. Put -1, j, -7 in ascending order.\nAnswer: -7, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 + 6*a - 6. Let d be v(4). Suppose -4*k + 0*o - 3*o = -427, -5*k + 528 = -d*o. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 23.57, 0.1, 0.012 in ascending order.\nAnswer: -1, -0.1, 0.012, 0.1, 23.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -208, -729, -1738, -3397?\n\"Answer: -27*u**3 - u**2 - 3*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 144?\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 20*a**2 - 9*a - 26. Let z(t) = 7*t**2 - 3*t - 9. Let h(i) = -6*m(i) + 17*z(i). Calculate the remainder when h(3) is divided by ((-8)\/10)\/((-6)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 96 = 16*k. What is the highest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 n, and 1 z when four letters picked without replacement from uzjnnnz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, 0.1, -1247\/63.\nAnswer: -132, -1247\/63, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -68338.1 less than 1142?\nAnswer: 69480.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*s - 11 = 0, -19 = -254*h + 256*h - 3*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 150. Let h(y) = y**2 - 27*y + 141. Let g be h(w). Suppose 0 = -2*x + 77 + 163. Calculate the greatest common factor of g and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atttaattttttatttta. Give prob of picking 2 a and 1 t.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.35 - 16. Let f = 0.15 + z. What is the closest to 1 in 5, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 5*q**2 - 6*q - 2. Let a be m(6). Let k(i) = i**3 + 2*i**2 - 4*i - 2. Let c be k(-3). Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1537\/14160 - -7\/1770. Let j(c) be the third derivative of 25\/32*c**4 + 27*c**2 - d*c**5 + 0 + 3\/4*c**3 + 0*c. Factor j(h).\nAnswer: -3*(h - 3)*(9*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -382*x**2 + 341*x + 1. Let m(i) = 385*i**2 - 343*i - 1. Let l(r) = 5*m(r) + 4*z(r). What is the second derivative of l(w) wrt w?\nAnswer: 794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 1 + 0*v + 0*v**2 + 2\/3*v**3. Let d(l) be the second derivative of -l**4\/6 - 2*l. What is q(d(p))?\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2760184, 11040759, 24841712, 44163037, 69004728, 99366779, 135249184, 176651937?\nAnswer: 223575032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 21*z**2 + z - 1. Let h be o(2). Let d be (1\/3)\/(h\/30). Is 1 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -860361.7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1516, 0.14844, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1767314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -890350869576 + 1\nAnswer: -890350869575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-329)\/105 - (-8)\/60. Does 61 divide ((-42)\/18 - t)*588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32917485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16102*b**3*f*x + 2*b**3*y + 27*b**2*f + b*x*y - 89*f*y with respect to x.\nAnswer: -16102*b**3*f + b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 18*u = 0. What is u?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -33. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 14*v - 8. Suppose 0 = v*g - 268 + 212. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 108\/505 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - x - 3*x + 64 = 0, -5*x - 90 = -5*w. Let y = w + 60. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19762 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/13)\/2*788\/2364?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5705ae + 7d?\nAnswer: -570531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) 0.5 (c) 0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvvb when four letters picked without replacement from bvqqqqvvqqqqqqqqvv.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, 3, 31, 67, 111, 163?\n\"Answer: 4*i**2 + 8*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1601 - 26031*w**3 + 3323 - 1722 + w**3 + 0*w**3 + w**3 + (-w**2 + 3 - 3)*(3*w - w - 3*w).\nAnswer: -26028*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*j**2 - 61664*j + 16230.\nAnswer: -2*(j + 1623)*(19*j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 199357, 199267, 199177?\n\"Answer: -90*j + 199447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*o - 23 + 23. Let k(h) = -h**2 + 3*h + 2. Let m be k(3). Suppose -m*b + 3 = -7. Solve -u + 5 = o, u - 1 = -b*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 1 + 1\/6*d**3 + 1\/2*d**2 - 33*d. Determine y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -383770000 to the nearest one million.\nAnswer: -384000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3684 and 976?\nAnswer: 898896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335*a**3 + 470 with respect to a.\nAnswer: -1005*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 271876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 240*w**2 - 224*w - 2188. Calculate f(121).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 16 + 0*o**3 - 20 + 14*o - o**3 - 2*o**2 in the form h*o**3 + k*o**2 + j*o + d and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -12. Let l = t - 5. Suppose l*p - 15 = 4*w - 1, w + 21 = 3*p. Solve -3*z - p = 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 234*t - 1631. Determine y(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - m + 5 = 0, j + j + m = 5. Suppose 0 = -2*n - j - 0. Let s be ((-4)\/18 + n)*(-3)\/(-2). Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269 and 295093.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2392 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 - -316. Let q = 95 - a. Suppose 2*t + 4*f = 18, -5*f + 3*f + 54 = q*t. Calculate the remainder when 86 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 69 = -3*f + 6*f, -3*s - 2*f = -41. Solve 35 = -5*k + 5*h, h + s = -5*k + 2*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -20720012*g - 12. Let z be r(-1). Round z to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*sqrt(1728)*1)\/(-2*(sqrt(144)*2 - sqrt(144))*5).\nAnswer: -24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -23 + (-11 - -14) + 21 + -14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1342)\/(-61)*(-3)\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 86. Suppose p = -3*d + 8*d. Factor 0 - 1\/3*j**3 + 0*j**d - 1\/3*j**4 + 0*j.\nAnswer: -j**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528745 is divided by 509578.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (9\/20)\/(18\/(-15))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylllyllylylyyyll. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(52)\/sqrt(4) - sqrt(13) - sqrt(130)\/(-2*sqrt(10)) - (sqrt(1872) + (sqrt(1872) - (-2 + (sqrt(1872) + -1 - sqrt(1872))) - sqrt(1872))))**2.\nAnswer: 63*sqrt(13) + 5769\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 935277172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -595315 to the nearest one thousand.\nAnswer: -595000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3\/2 - 1040*k**2 - 6285*k\/2.\nAnswer: 5*k*(k - 419)*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4472*o + 179019 = -339733 for o.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/19 + 139\/114. Let z = u + 1\/3. Which is bigger: -8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 + 156. List the prime factors of 37325\/85 + u\/(-51).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.13, 0.2, 5, 0.1309?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = -3*l - 11, -21 = -5*p + 4*l. Let z(j) be the first derivative of 2*j**2 - j + 4801. Let v(n) = n. What is p*z(i) - 6*v(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - ((-8 - 3) + 18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -5*o. Let k(g) = 3*g**2 - 4*g - 2. Let i be k(-1). Suppose -i*v - o = -12. Solve a + 4 = -2*u, -u = v*u + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 + 320*q - 4125 = 0?\nAnswer: -75, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6200238 and 23\/1584.\nAnswer: 148805712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -84 times -3\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44581273 divided by 14321?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 7*z + 282. Is (-108)\/z*(0 - -10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 869 + -848. Solve -56 = -7*j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10908 - -19346. What are the prime factors of v?\nAnswer: 2, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**2 + 3*c + 2. Let n(f) = 4 + 1 - f - 6. Calculate a(v) + 2*n(v).\nAnswer: -5*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -12. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3392177 is divided by 847965.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121.04 and 0.01.\nAnswer: 1.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 226 = 22. Solve 14 = g*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 66*n + 687. Let r be b(-10). Let p = 257 - 149. Calculate the highest common divisor of p and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*q**4 + 164.\nAnswer: 260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2*i**5\/15 - 2*i**4\/3 - 2*i**3\/3 + 4*i**2\/3 + 8*i\/3 - 4. Solve n(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.751 + -26.56174. What is i rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let r(c) = -1254650*c**2. Determine r(t(d)).\nAnswer: -1254650*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -63.1499 and -22.\nAnswer: -85.1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 13, -31, -103, -209, -355, -547, -791?\n\"Answer: -f**3 - 5*f**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v + 0*v - 3*v)*(-9*v - 5*v + 22*v + v**2) + v**3 - 3*v**3 + 4*v**3 + (6*v**2 + v**2 - 5*v**2)*(3 + 2*v - 3) + 5*v**3 - v**3 - 3*v**3)*(-3 - 1 - 3).\nAnswer: -28*v**3 + 168*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (14 - 24 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5971531 rounded to 3 dps?\nAnswer: -0.597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 5*h**2 - 51 + 5*h**2 - 2*h + 60 - h**3. Suppose 0 = -4*f + 6*f - 14. What is the tens digit of q(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/(-2) - -1)*-2. Suppose -3*t = -l + v, 2*l - 6*l - t = -37. What is the remainder when 27 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 457200*i**3 + 2*i**2 + 6785226*i?\nAnswer: -12*i**2 + 2743200*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**6\/120 + u**5\/4 - u**4\/12 - u**3\/2 + u**2 - 862*u. Determine r(-15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 1. Let x(a) = 6*a - 3. Suppose -4*m + v = 2*v - 71, 2*v - 40 = -2*m. Suppose -5*k + 93 + 7 = 0. Let d = k - m. Determine d*u(i) + x(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20935 (base 10) to base 7\nAnswer: 115015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2093 + 2138 + (-899)\/20.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 + 17 = 4*t, 0 = w - 5*t + 17. Let u(m) = 3*m + 1. Let v(x) = -4*x - 2. Let g(j) = 3*u(j) + 2*v(j). Calculate g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31228, -62527, -93814, -125083, -156328, -187543, -218722?\nAnswer: -249859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*p = 18 + 42, 0 = -h + 5*p. Suppose -x - 4*x = -h. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 28*z - 3 = 5. Solve -8*y = -5*y - 3*s - 6, z*y + 2*s = 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496432 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*y + 2*y**2 - 59*y - 55*y + 61*y**3 + 171*y in the form w + v*y**2 + j*y + s*y**3 and give s.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 24148538.\nAnswer: 265633918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2)\/f*f**(-1\/3)*f**(-5)*f*f\/(f\/f**(2\/15)) assuming f is positive.\nAnswer: f**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 1\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 + -4)) + 8 + -1 + -7 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**2 - s. Let l = -25 - -30. Let p = 1 - -2. Suppose -x - 2*k = -p*x, 3*x - l*k = -2. Give q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 0*v**2 + 0 + 0 - 6*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82103951 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 1. Let t(x) = 77*x + 9. Let i(r) = -6*g(r) + t(r). Is i(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2 = v. Suppose v*z - 11 = -1. Solve -2*b - 2*f = 3*f + 35, 0 = z*f + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31530409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4121 + 2250. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163357.\nAnswer: 29, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + i**3 - 4*i**3)*(4*i + 5*i + 0*i).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -526 + 530. What is the second derivative of 31*s - 7*s**c + 1 + 30*s - 86*s**4 - 16*s**4 + s**3 wrt s?\nAnswer: -1308*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s + s + 6*s)*(6 + 5*s - s - 5)*(0*s**2 - s**2 - 3*s**2).\nAnswer: -224*s**4 - 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -176, -174, -172, -170, -168, -166?\n\"Answer: 2*x - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*w - 135*w + 191*w + 1.\nAnswer: -733*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 381869804*r - 465524049.\nAnswer: 381869804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u - 12. Suppose u*h + 3*m - 258 = 0, 3*h + 2*m + 180 = 5*h. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0) + (-7)\/2. Let h = -1 - -1. Let m = 1 - 19\/17. What is the closest to h in f, 1\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by -21133.\nAnswer: 145\/21133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 7:36 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -114, -12, 24?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqm when three letters picked without replacement from qmmwwomwqlq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 11:57 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 389*d + 8954. Calculate f(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -89, -1.4, -25, 3\/7 in decreasing order.\nAnswer: 3\/7, 0, -1.4, -25, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 + 24*l**2 - 33*l + 278. Calculate k(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707169?\nAnswer: 3, 235723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a**2 + 0*a)*((-12 + 25 - 8)*(-39*a + 39*a + 5*a**3) + a**3 + 3*a**3 - 2*a**3).\nAnswer: -54*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + i**2 - 7 + 12 + 4 as d*i + y + p*i**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2\/2 + 2165*n\/2 + 5425 = 0.\nAnswer: -5, 2170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 468 - 486 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000574017 to 5 dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 956 = 3*p + p. Suppose 5*m - 1 - p = -z, m - 4*z = 69. Let l = -33 + m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*4*-4*3.\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.551453 rounded to 1 dp?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**4 + 3*r**4 + r**4)*(3*r + 11*r + 0*r) + (2*r + 0*r + 0*r)*(0*r + 0*r - 2*r**4).\nAnswer: -32*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 at most as big as -1106.351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 4)*(-1 + 1 - j) - 5*j + 0*j + 3*j)*(-1 + 2*j + 1)*(-11 + 3 - 4).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735397928 - 735397928 + 29*n**3.\nAnswer: 29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.0828?\nAnswer: -0.1828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 23 = 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*k - 75, 59105*k + 3*v = 59098*k + 125 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 124133 (base 5) in base 12?\nAnswer: 2a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*j**5 + 22*j**5 - 4*j**5 + (0 + j + 0)*(-5*j**4 + 5*j**4 - j**4).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7035 and 133767711?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 15) in base 10?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 2 + 9*o**2 + 1 + 4*o. Let k(i) = -5*i**2 + i. Let q be ((-77)\/((-1694)\/44))\/(2\/(-3)). Give q*a(u) - 5*k(u).\nAnswer: -2*u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 21708*a - 10831*a - 10831*a)*(-2 + 5 - 1).\nAnswer: 92*a - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**2 - 3632*p - 469248 = 0.\nAnswer: -752, -156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2646 - -3339. Calculate the least common multiple of 378 and d.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.677 to the nearest integer.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 0*m + m)*(6 - 1 - 3)*(-95 - 21 - 25)*(-5 + 5 - 2*m) as p*m + k + a*m**2 and give a.\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*2 + -2 - 2. Suppose -t*n = 8 - 40. Suppose n + 2 = k. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1243911\/11 + 113308. Let t = -225 + d. Let x = -6 - -5. Are x and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3, k: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*b - 51*d + 47*d, 3*b = 5*d + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 3*o - 5*o + 5*o + 23 + 6 to v + g*o and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b736 (base 16) in base 2?\nAnswer: 1011011100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/28 + (-2)\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1 + -1 - -3). Let b(r) be the first derivative of -r**2 - 2*r + 2. Calculate b(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*p - 1398 + 1823 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714586 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g. Let n(t) = -4496*t**2. Determine o(n(c)).\nAnswer: -35968*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664891447 to the power of 1\/3, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-8 + 6)) + (-1 - (-1 - 0) - 51)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41180 and 287680?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*o + 26*o + 5*o as y + q*o and give q.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -0.19 (c) 3\/5 (d) -3 (e) -5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 998908891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12*1*9\/27. Suppose 2*b + b - t*v + 10 = 0, -5*b + 4*v - 6 = 0. Let x = 3 - 1. Is b less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c. Let p(j) = 64*j - 10. Calculate y(p(f)).\nAnswer: -256*f + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3531633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 12*i**2 - 2*i + 7. Let q be l(-6). Let o = q + -25. Suppose -2*v - 22 + 8 = 0. Are v and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*m**2*x + 6*m**2 - 23*m*x - 2*x + 167459 wrt m.\nAnswer: 38*m*x + 12*m - 23*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-66)\/21)\/((-2)\/14). Let h = -104\/5 + l. Let n = -19\/330 + -6\/55. What is the closest to 0 in 2, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10892873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 782 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 3)*(-3 - 4*q + 3)*(0*q**3 + q**3 + 3*q**3) - 13*q**4 + 12*q**4 - 12 - 3.\nAnswer: -113*q**4 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 1129. Is (f*(-1)\/2)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.14 (b) 0.2 (c) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j + 7. Let n(r) = 6*r + 3. Let l(t) = -3*k(t) + 7*n(t). Let i = -345 - -352. Let q(a) = -i*a**2 - 2*a**2 + 6*a**2 - 6*a**2. Calculate q(l(m)).\nAnswer: -324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -62. Suppose -2*l + 7 = 4*b - 9, 0 = -3*b + l + q. Solve b*u + u = 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v**3 + 63*v - 63*v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*t - 12, 3*v - 3*t = -13 + 25. Let j = 0.06 + 0.24. Let w = -0.1 + j. Which is the closest to 2\/9? (a) w (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860 divided by -4?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 2*v - 7, -126 = -a + v - 124 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(90\/16) - 2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50947623.\nAnswer: 3, 17, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 5*m + k, -m + 5*m = -2*k + 174. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332311 (base 7) in base 6?\nAnswer: 1130401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -3, 2 in descending order.\nAnswer: 46, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2101, -4.\nAnswer: -2101, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1872833.312 to the nearest ten thousand.\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1953*d**3 - 82 with respect to d.\nAnswer: -5859*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 2*r)*(r + 0*r + r) - 7 + 3*r**2 + 7 + (267 - 80 + 95)*(-3*r**2 - 3 + 3).\nAnswer: -841*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2\/33, -34.15?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 13*n - 290024 = 0. Suppose 0 = m - 3*j + n, 3*m = -4*j + 187712 - 622696. What is m rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6329 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose 122*f = 119*f + 39. Factor 23*k**b - f*k**4 - 7*k**4.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3584 + 3583.9. Which is the closest to u? (a) -5\/3 (b) 0.5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a - j - 0*j, -4*a + 5*j = 0. Solve -a*c - 7 = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18069259.15 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3032012 (base 4) to base 6.\nAnswer: 141022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.168389534 + 1010.\nAnswer: 1010.168389534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11081, 22162, 33243?\n\"Answer: 11081*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7230 divided by -23723.\nAnswer: 7230\/23723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**7\/35 + 3*v**6\/40 - v**5\/10 + v**2\/2 + 8. Let s(n) be the second derivative of d(n). Let s(x) = 0. Calculate x.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u - 326. Let k(d) = -d. Calculate g(k(y)).\nAnswer: 20*y - 326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48316 is divided by 732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 14*s**2 + 27*s - 74. Determine p(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270 is divided by 452.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -2\/99 in descending order.\nAnswer: -2\/99, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -9) + -12 + 12. Calculate the highest common factor of 87 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 638325888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j - 31. Suppose 0 = -s + 24 + 42. What is the remainder when s is divided by k(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 154 = q, b - 750 = -9*q + 4*q. What is the remainder when q is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nccnccccclcqqqcccqc. Give prob of picking 4 c.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0*i**2 - 2*i + 0 + 0*i**3 + 0*i**5 - 1\/3*i**4 - 2\/15*i**6. Find the third derivative of p(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -43. Suppose -4*t = g - 5*g + 216, 4*t - 127 = -s*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2 - 3*s - 2. Suppose -411 + 86 = 25*u. Let j(k) = 2*k**2 + 22*k - 53. Let x be j(u). Give c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1885 - 2910. Let b be 2 + 2 + -5 + w + 1. Is (b\/1)\/(-5) + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -351, -468, -623, -810, -1023?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 5, f: 1, y: 4}. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:46 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 5*i**2 + 2*i + 6. Let d be v(-5). Let n be 2\/3 - d\/3. Let w = -7 + n. Let u(g) = -g**2 - 5*g. Determine u(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0190949389 rounded to 6 decimal places?\nAnswer: -0.019095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 787*r**3 - 14*r**2 + 89*r - 563. Is n(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1328*g + 6611. Calculate v(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483202 is divided by 601?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 85925430.9 to the nearest one hundred thousand.\nAnswer: 85900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 5, 8, 1 in decreasing order.\nAnswer: 8, 5, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z - 1. Let w be c(0). Let s(r) = -r - 8. Let v be s(-6). Sort 2, w, v.\nAnswer: v, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28247882218*d**2 - 327*d**3 - 28247882218*d**2.\nAnswer: -327*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0372 - -1.6.\nAnswer: 1.5628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 + 5*l)*(-3 + 2 - 1)*(-9 - 38 + 29).\nAnswer: 180*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.36 - 0.06. Let l = 1.1 - s. Which is the closest to l? (a) 5 (b) -0.3 (c) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1065*t + 96 - 525*t + 2*t**4 - 542*t - 2*t**3 - 4*t**4 in the form g + r*t + y*t**4 + d*t**2 + h*t**3 and give g.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/20 - 17*s**4\/24 + 5*s**3\/3 - 43*s**2 + 6*s. Determine o(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 - 32*k + 59*k - 29*k + k**2 to the form m*k**2 + z*k + s + r*k**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18\/(r\/((r*r\/r**(12\/5)*r)\/r)*r))\/(r*r**(-1)*r)**(-9) assuming r is positive.\nAnswer: r**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3572 and 397714?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 10 - (0 - 3)) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 495871.226 to the nearest one hundred.\nAnswer: 495900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-3)\/24*-2. Let w = 5 + g. Suppose -3*n - w*n = -1071. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 5, -2 in decreasing order.\nAnswer: 61, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 22. Calculate the remainder when (-68)\/(-10)*(-2 - -7) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let i(r) = 2*r**2 + 52*r + 22. Let b be i(-26). Suppose -8*d - 3*k + 17 = -4*d, 2*k = 4*d - b. Solve -d*m + 5 = -h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49965137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpmmmmmpmm. What is prob of picking 2 p and 2 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 6 = -2*m. Suppose -k = -m*k. Let o be -8700000 + (2 - k - 2). What is o rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1247 to the nearest 10.\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/2288 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(125) + -3 + 3*sqrt(125) + sqrt(125) - (3 + sqrt(125) + -3 - sqrt(125))))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 60201*k**2\/8 + 933117*k\/4 + 93\/8 = 0.\nAnswer: -31, -1\/20067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 1. Suppose -2*f + y = -x - 0*f, -2*f = -4. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30111, 3, 0, -1, 1 in descending order.\nAnswer: 30111, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 1 + 10*j**2 - 5*j**2 + 3*j**2. Let u be k(8). Let q be -1 - u - 230002*-1. What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 8.4. Sort -0.4, q, 0.09 in decreasing order.\nAnswer: q, 0.09, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 10, i + 7*i + 68 = 4*h + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 18 + 12 = 0. Let w be (i - 13)\/(4\/80). Let y = w - -500. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) - 1806\/(-8). Suppose 0 = -2*k - 2*i + 552 + 26, -2*k = i - 578. Suppose -5*a + k = -n. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474164.\nAnswer: 2, 17, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1e5c75 (base 15) to base 9\nAnswer: 2716802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 + 103. Solve -k*h = -2*s + 8, 0 = -2*s - 2*s - 5*h - 28 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 8*p + 2. Let n be (-25)\/(-6)*50 + p\/3. Suppose 0 = 4*g - 236 - n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/28)\/((-184)\/4186) + (15 - 13)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s**2 + 54*s + 11. Let m(d) = -2*d**2 + 3*d + 2. Determine f(b) - 8*m(b).\nAnswer: 4*b**2 + 30*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -497811 and 8?\nAnswer: -3982488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952623 rounded to the nearest 1000?\nAnswer: 1953000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61309382867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - 17\/(-5))\/((-21)\/42). Let -f + 2\/5*n**2 + 4\/5*n = 0. What is n?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:51 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67998*r - 2 - 69355*r + 2 + 137356*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 200008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.041 - -35.041. Let t = c + -34.8. Sort 10, -5, t, 0.3 in increasing order.\nAnswer: -5, t, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95\/3 - -221\/7. Suppose -c + 2 = 3. Is c equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3805697985 to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**(-1\/55))*c**(-26)\/c*((c\/((c*c**(-23))\/c)*c)\/c)**(2\/3))**(-2\/13) assuming c is positive.\nAnswer: c**(1102\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 13 - 55*x**2 - 3 - 3*x + 2*x - 2*x**4 as m*x**4 + h + l*x**2 + r*x**3 + g*x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 4*s + 24, -13*s - 22 = -5*j - 10*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -12, 2 in descending order.\nAnswer: 2, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3630 + -2430. Round f to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 58, 114, 202, 334?\n\"Answer: 2*s**3 - 2*s**2 + 28*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140285 - 77054. What are the prime factors of i?\nAnswer: 3, 7, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024212918 to 6 dps.\nAnswer: -0.000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + 74. Suppose -4*t + 2 = -w. What is the remainder when t is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(330) + sqrt(330)*1)\/sqrt(11))\/((sqrt(640) - (sqrt(640) - (sqrt(640) - (sqrt(640)*-3 + sqrt(640))))) + sqrt(640)).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyppxppyyypx. Give prob of sequence ypx.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-4) + 12)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/33 + (-4)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6759798 and 13083480?\nAnswer: 405587880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 8*x - 7. Let u be f(5). Let v = u - 6. Calculate the least common multiple of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 1180\/9*g + 174050\/9*g**2 + 2\/9 = 0.\nAnswer: -1\/295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**4 - m**3 - 2*m**2 + 973812*m - 64751598 wrt m?\nAnswer: 4*m**3 - 3*m**2 - 4*m + 973812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {k: 2, y: 1, n: 1, i: 1, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by -10749.\nAnswer: -56\/3583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 87 (b) -7889 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51372, 52076, 52780, 53484?\n\"Answer: 704*b + 50668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 867*u**3*w**4 + 63657*u**3 - 47*u**2*w**4 wrt w.\nAnswer: 3468*u**3*w**3 - 188*u**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - q**4 - 2*q**2 + (-31*q**3 + 57*q**2 - 57*q**2)*(-q - 2*q + q).\nAnswer: 61*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48446*k**3 - k**2 - 9544 wrt k?\nAnswer: 290676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + 60.45.\nAnswer: 59.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t**2 - 73*t**2 - 61*t**2 - 70*t**2 + 418*t**2 - 72*t**2 - 71*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Let n = i - -2. List the prime factors of 1*(n - -1) + 10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0.1, -12, 0, 4, 9\/2, 0.41 in decreasing order.\nAnswer: 9\/2, 4, 0.41, 0.1, 0, -12, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 595135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 27. Let g be r(-6). Let l be (-20*1)\/(1\/g). Let x = 70 + l. Solve 0 = -2*b - x, -3*u + b = u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(1\/2))\/(54\/(-108)). Suppose -2*m - 4*i = -20, -b*m + i - 2*i + 54 = 0. Suppose 1473 + 1537 = m*c. What are the prime factors of c?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -24*k**3 - 6*k**2 + 6*k + 6. Let c = -1988 + 1982. Let t(w) = 49*w**3 + 13*w**2 - 13*w - 13. Determine c*t(v) - 13*l(v).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*u - u**3 + 0*u**4 - 39*u - 10*u - u**2 + 2*u**4 in the form i + g*u + d*u**3 + l*u**2 + r*u**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/12 - b + 1. Let l(x) be the first derivative of i(x). Let p(q) = 15 - 15 - 120*q + 243*q - 118*q. Give l(p(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4186378 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 171 = -89*y + 87*y, 0 = y + 2*z - 83. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**3 - 4*d**2 + 15*d + 2. Let i(a) = -8*a**3 - 6*a**2 + 16*a + 3. Give 2*i(v) - 3*m(v).\nAnswer: 5*v**3 - 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813, 1624, 2435?\nAnswer: 3246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15 = w. Let b(u) = 2*u - 4. Does 13 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0968 rounded to three decimal places?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.16. Sort w, -3, -1 in ascending order.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3504973891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33925 is divided by 13665?\nAnswer: 6595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12*(6230\/(-6) + -2). Suppose -j = -o - 2884. Round o to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**35)**(1\/2))**(6\/5) assuming s is positive.\nAnswer: s**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*s + 3 = 5, -5*i - 3*s + 3 = 0. Let a(d) = -d**3 + 3. Let j = 0 + -2. Let y(q) = 2*q**3 - 6. Let f(c) = j*y(c) - 5*a(c). Calculate f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49903 less than 49903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v = 110*v - 54*v - 18. Solve -4*l = -4, 0 = -f + v*l - 11 + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/4 + 2*u**3 - 7*u**2\/2 + 6*u + 5. Let w be 4*(-2)\/(-20)*10. Is t(w) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 72 = 2*i, 5*i + 2*c - 4*c + 180 = 0. Let b = i - -64. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, w: 2}. What is prob of picking 2 i and 1 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 4. Let h(b) = 1004*b**2 + 3012. Calculate 2*h(m) + 1506*l(m).\nAnswer: 502*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-3 + 41\/3). Calculate the least common multiple of 10 and 36\/(-16)*n\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418*m - 61*m + 218*m to the form j*m + l and give j.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uerzm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -44. Suppose -2*k = p, -2*a + 4*a + 5*k + 21 = 0. Suppose -14 = a*s - 130. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23684 in 3, 4, 0.3, -5, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*h, -4*h + 4*s - 6*s = 8. Let f(r) = -2*r**3 - 3*r**2 - 7*r - 4. What is the units digit of f(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 45. Suppose -3*v + 0 = k - 2, -v + 2 = -k. Let a(h) = h + 1. Let s(z) = 3*z + z + 4 + 31*z**2 - 29*z**2. Give o*a(l) + v*s(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76\/5 of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -173*w + 1. Let q be d(-1). Let y = 873\/5 - q. Let m = 80\/3 - 27. Which is the third biggest value? (a) 0 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4200)\/289800)\/((-1)\/(-30))?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 360 = -40*v - 88*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 734.49 and -2.\nAnswer: -1468.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -15*m - 143. Find the common denominator of m\/24 + (-5 - -8) and 44\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4061 in -0.1, -2, 13, -1.2, -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -59052 divided by 19684?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjwwjjjjada. Give prob of picking 2 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -26 - -1) + -22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((525\/210)\/(5\/2))\/(-116*20\/160)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2742407, -2742413, -2742419?\n\"Answer: -6*j - 2742401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, h: 4, k: 3}. Give prob of picking 1 h and 2 g.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 5*l**2 - 5*l + 7. Let f be (2 - 1)\/((-8)\/40). Let y be k(f). Suppose -5*u + y = 2. Solve 3*b = b - u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uugugguggggggg. What is prob of sequence ug?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.77287 kilograms to micrograms.\nAnswer: 17772870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 6 - 4)*2\/(-36). What is the closest to -2 in g, 1, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*p + 2*p + 2, b = 5. Suppose 0 = 3*z + 6, 0 = -p*u + 7*z - 3*z + 30. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*c**3 - 79*c**3 - 52*c**3 + 9*c**2.\nAnswer: -3*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5330541128 and 0.5.\nAnswer: 5330541128.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 + 17*y**2 + 58*y\/3 - 104.\nAnswer: -(y - 52)*(y - 2)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 58259.37 meters?\nAnswer: 58259370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 0 (b) -4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 33964*t**3 + 169802*t**2 - 237716*t + 101877.\nAnswer: (t - 33959)*(t - 3)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -3*h + 9 + 5, -47*h - 91 = d - 50*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11))**(-16) assuming t is positive.\nAnswer: t**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/1 + (9 - 11) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-110837.\nAnswer: -443348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, v: 12}. What is prob of sequence ss?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -63977a (base 11) to base 9\nAnswer: -1828434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-480))\/(10*8\/160)\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(288)\/(sqrt(72)\/(sqrt(36)\/sqrt(3))) + sqrt(288)\/(sqrt(384)*2 - sqrt(6))))**2.\nAnswer: 12288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-616)\/(-32))*3\/6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 7*k**2 - 6*k + 6. Let b be -4*(2 + (-2)\/4). What is the remainder when 21 is divided by j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8215.\nAnswer: 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 4 = 0. Let y be (-12)\/(-6) - (6 - 1). Which is the second smallest value? (a) j (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411.9*25.\nAnswer: -10297.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w*w**(3\/7))\/(w**7*w)**(-35) assuming w is positive.\nAnswer: w**(1942\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4465024 (base 7) to base 4\nAnswer: 2013033223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n - 33*n + 40791 = 19786 + 18985 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from tatt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 4*v**3 + 1.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 14) to base 4.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 884.7*22.\nAnswer: 19463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3156883 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 19)*(4*k - k + 0*k)*(3 - 4 + 3)*(5*k - 5*k - 6*k) + (-3*k - 8*k + 2*k)*(2*k - 2*k - 2*k).\nAnswer: 774*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296095609.\nAnswer: 23, 61, 349, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2661 at least 338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 2) + 18\/(-10). Suppose 0 = 5*q + 24 + 1, 3*x + 27 = -3*q. Let k be 8\/x + 6 + -3. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(320) + 1 + sqrt(320) - sqrt(320))*2)**2 + (sqrt(5) - 5*(sqrt(5) + sqrt(20)\/sqrt(4)) - sqrt(180))**2)*6 + 2.\nAnswer: -1536*sqrt(5) + 14816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22, 0.1, -470837, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:56 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 = -h + 4*p, 0 + 11 - 14 = 3*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382225, -382234, -382241, -382246, -382249?\nAnswer: -382250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-15) - 0 - 11438\/(-1290). Suppose -5*a - 896 = -4*s - h*a, 4*s - a = 881. What is the highest common factor of 85 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-40))\/9*(-5)\/16*-2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2239 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -6*b - 30. Solve b*w - 32 = 18*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*s + 206*s - 90*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*k + 60846 - 60558. Sort 5, -1, k, 0, -2 in increasing order.\nAnswer: -2, -1, 0, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 13050?\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 11*c - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131431292.\nAnswer: 2, 23, 1428601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 48 = -2*a. Calculate the highest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p + 4. Let d(w) = -8*w + 4. Let r(c) = 3*d(c) - 2*h(c). Let v(g) = -11*g + 7. What is -10*r(o) + 6*v(o)?\nAnswer: -6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 4:56 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 6*r**2 - r - 14. Determine y(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120.05 - -120. What is the second smallest value in 0.3, 5, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5339.272 millilitres to litres.\nAnswer: 5.339272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 47, 69, 91, 113, 135?\n\"Answer: 22*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5 + -5. Let o be (-7)\/20 + (-2)\/5. Let k be -15*(-4 - (-26)\/6). What is the third biggest value in o, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2\/6 + 251\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-17 - 3066\/(-180))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 981739 and 14395.\nAnswer: 4908695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, v: 5, d: 2, f: 3, q: 3}. Give prob of picking 2 q and 2 d.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {n: 1, w: 1, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.61945 + -0.15945. What is the third biggest value in -11, 2, j?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-20)\/(-8))*-52. Let h be (-2)\/(-11) + y\/22. Which is bigger: 1\/14 or h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 9*t**2 - 15*t. Let r be u(6). Let j be (4\/18)\/(10\/r). Factor 0 + 1\/5*w**3 + j*w**2 + 0*w.\nAnswer: w**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -50. Let m be (-1)\/(-3) + 186\/90. Is z less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 14 - 0. Let s(d) = -32*d. Is 14 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962150?\nAnswer: 2, 3, 5, 103, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169311757 to the nearest integer?\nAnswer: 13012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*k + 60 + 12, 0 = -2*j - 3*k + 40. What is the remainder when j is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 13*s + 9. Does 7 divide k(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 96 (b) -22\/1339 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 16*t\/9 - 70\/3.\nAnswer: 2*(t - 15)*(t + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158100287 or -158100288?\nAnswer: -158100288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**7\/210 - x**6\/20 + x**5\/4 - x**4\/3 + 96*x**2. Determine m so that u(m) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4676*i - 210665 = 1435*i for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18291, -379, 2\/9, 0.3 in ascending order.\nAnswer: -18291, -379, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 156*h**2 + 308*h - 480.\nAnswer: 4*(h + 3)*(39*h - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*(q\/((q\/((q*q*q*q**9\/q*q)\/q)*q)\/q))\/q*q*q)**(-29) assuming q is positive.\nAnswer: q**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g - 1270*g - 2276*g to the form s + m*g and give m.\nAnswer: -3527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*4)**2 + 1 - (sqrt(228)*4)\/sqrt(12).\nAnswer: -4*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 0 + 38\/1. Let x be 1*(5 + (-1)\/1). Suppose x*a = y - 2. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155511758 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 7, l: 2}. Give prob of picking 1 m and 1 k.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 10*m**2 + 11*m + 22. Let h be u(-9). Let s(f) = f**2 - 3*f - 1. What is the units digit of s(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -24. Let b = -26.7 - i. Suppose 4 + 8 = -4*r. Sort b, r, 0 in descending order.\nAnswer: b, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 318.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 767 * -1.\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n + 4. Let v(c) = -7*c + 5. Let f(p) = 5*h(p) - 4*v(p). Let t(z) = -39 + 39 + z. What is -5*f(y) - 30*t(y)?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 - 1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -331? (a) -2\/11 (b) 0.2 (c) -43 (d) 3 (e) -79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*n - 35, -5*o - 3*n - 19 = -5*n. Does 11 divide (-17)\/(o + (-14)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(24)\/sqrt(2) + 4)*-3.\nAnswer: 30*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5*p - 6 = 14, -3*i - 4*p - 27 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let k be w(7). Let q = 8 - k. Let c(m) = 328*m**3 + m**2. Is c(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-156))\/((-882)\/(-38220)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = -29. Let x = 11 + -4. What is the remainder when x is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1586256*r - 1586456*r - 10000 = 0 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3715171 to the nearest integer?\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/30*-4)\/(9\/(-9)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 15. Determine p(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d9988d (base 14) to base 3.\nAnswer: -1001000122212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -41237?\nAnswer: -41245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -3\/2*q**3 + 0 + 8*q - 9\/20*q**5 + 0*q**2 + 0*q**4. Find the second derivative of d(m) wrt m.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9042908 divided by -14.\nAnswer: -645922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12570 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 t(k) = -2*k**3 + 29*k**2 + 77*k + 167. Determine t(17).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419 = 4*t - 4371. Let w = -201 + t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 22*g - 25. What is p(21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-3 + 4*(sqrt(2448) - (sqrt(2448) + sqrt(2448) + 1 + sqrt(2448) + sqrt(2448) + 2 + sqrt(2448)) - sqrt(2448))))**2 + 1)*1.\nAnswer: 7200*sqrt(17) + 979426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 93343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j + 23*j + 20 = 0. Is 6\/(-24)*-3148*j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.29 + -0.3. Let k = 0.09 - r. Suppose 4 = -f - g, 0 = 3*f - 22*g + 20*g - 8. Which is the closest to k? (a) f (b) -1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -38. Let r be (10\/(-50))\/(1\/(-10)). Suppose b - 4*b - r*v + 26 = 0, 0 = b - v - 7. Solve 4*s + 4*d - b = -0*s, w*s = -d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bab when three letters picked without replacement from hhhhhbhahb?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -52066\/4999 >= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5176 + 14176. What is m rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0 (c) -2\/19 (d) 2\/6099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2202 - -2202. Which is bigger: a or -3307?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -17*g. Let n(a) = 54*a - 18. Let z(y) = -5*y + 2. Let d(l) = 2*n(l) + 18*z(l). Calculate 6*d(t) + 7*w(t).\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*r - 4*f + 95, -r + 5*f = -23. Let m(j) = -j**2 - 98*j - 16. Calculate the remainder when m(-11) is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.227 + 0.227. What is the closest to -1 in d, -0.07, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**6\/3 - i**3\/3 - 21*i**2 + 1. What is the second derivative of r(g) wrt g?\nAnswer: -40*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6594856, 6594871, 6594886?\n\"Answer: 15*r + 6594841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*z + 6090 - 984 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 7*k**2 + 10*k - 1. Let f(r) = -2*r**2 - 8*r + 146. Let y be f(-11). What is i(y)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 0*m**2 - 2*m**3 + 5*m**3 - 2*m**3 - 18*m**3 + 2*m**3 + 3*m**2 - 3*m**2 + (-4*m + 2*m + m)*(-6*m**2 + 2*m**2 + 2*m**2).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 10, s + 6636 = 4*x - 3*s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6175264 (base 8) to base 9\nAnswer: -3064537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2. Let m(v) = -9*v + 35 - 35. Calculate m(z(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63692562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 3*o - 15 = -0*o + 35, 15 = 2*o - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*q = -4, -6*q - 8 = -4*o - 2*q. Sort -4, 5, 0, o in decreasing order.\nAnswer: 5, o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 2*c**7\/105 + c**6\/15 + c**5\/15 - 3*c**2 + c. Let b(a) be the first derivative of z(a). Determine o, given that b(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 7*q + 4*q)*(11 + 2*q - 26 + 12).\nAnswer: -12*q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/315)\/((-10)\/150).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 79*l - 3. Let s be u(1). Let o = s - -12. Calculate the remainder when o is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 4, w: 11, q: 1, s: 2, t: 1}. Give prob of picking 4 w.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12783 divided by 4261\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3282504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (289\/(-3))\/((-4 + -1)\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 4)*(0 + 7 - 2)*(v - v + 2*v - 3*v + 2*v + 0*v + (v - v + 2*v)*(0 + 2 - 1)).\nAnswer: -105*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d - 10. Let q be r(3). Is (2 - q) + 19 + 6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-60)\/(-18)))\/((-18)\/(-8))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 34027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 4, -1, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (-18 + -4 + 43)) + 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + -1 - 0. Let r be (-1)\/(-2)*-2 - -3. Let n = 1 - r. Put n, f, 4 in increasing order.\nAnswer: n, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 7\/6 (c) 1\/10 (d) -3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1903 (b) 1\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + z)*(-4*z**3 - z**3 + 6*z**3) + (z**3 - z**3 + z**3)*(-3*z - z + 2*z) to the form n*z + p*z**3 + i + l*z**2 + x*z**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 34 (b) -106 (c) -1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t + 2047 + 2046 + 2091 - 6186.\nAnswer: 13*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10188, 9467, 8236, 6495, 4244, 1483?\nAnswer: -1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 31 + (5 - 16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 31*y**2 - 57*y - 24. Let u be f(29). Put -2\/13, u, -3, 0.13 in ascending order.\nAnswer: -3, -2\/13, 0.13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**2 + 46*o + 20. Let n(v) = -5*v**2 + 45*v + 19. Let f(d) = 3*l(d) - 4*n(d). List the prime factors of f(23).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**4\/3 - 5*h**3\/3 + 27*h**2\/2 + 2*h + 12. Let b be p(-8). Calculate the greatest common factor of b and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - (0 - 4)) + 3. Which is smaller: g or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/6 - h**2\/2 + 64*h. Let u(n) = 6*n**3 - 10*n + 8. Determine u(t) + 8*w(t).\nAnswer: 6*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 36, 56, 90, 144?\n\"Answer: g**3 - 2*g**2 + 11*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 5*r - 4. Let v(a) = a**2 - a + 1. Let f(o) = -o + 9. Let k be f(4). What is k*v(w) + z(w)?\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2439, -731, 977, 2685, 4393?\n\"Answer: 1708*h - 4147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from lllaalallallllallla?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 + -1 + -9 + (16 + -12 - -18).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 427 and 6558293?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 1. Let o = -16285 - -16284. Which is the smallest value? (a) -2\/3 (b) u (c) o (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140979 is divided by 8289?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523008581.\nAnswer: 523008581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 + 60 = -3*j + 3*o, 0 = o - 4. Let g = -7 - -13. Calculate the highest common factor of j and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*g - 13, 11*k - 8*k - 5*g + 14 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14657360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(26)\/sqrt(2)) + sqrt(13) + 3)**2 + -5 + (sqrt(26)\/(3*sqrt(2)*1))**2.\nAnswer: 166\/9 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 2:38 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**5\/60 + u**4\/24 - u**2. Let r(a) = -a**3 - 4 + 3 - 2*a + 2*a**2 - 2*a. What is -4*c(o) - r(o)?\nAnswer: o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 475181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/4*(-1 + (-8)\/(-5)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 51*q + 49*q = -43*q + 134*q - 7, 5*x - 6*q + 137 = 0 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 296*n**2 - 2063*n - 68. Give y(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 + 369*y - 2059. What is r(6)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22603*r + 22663*r - 828 = -3168 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s**3 + 2*s - 1. Let d be (-5)\/((-4)\/(1 - -3)). Suppose 5 = d*h + o - 0*o, 3*h - 3 = 3*o. Give l(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2639\/4 + 665. Let d = -49113\/121 - -34383223\/83490. Let h = -16\/69 + d. What is the common denominator of a and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - 10)\/(-1) - 59368\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-1*sqrt(324)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731*q + 70 = 745*q. Solve -13*z - q*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -200147, -200108, -200069?\n\"Answer: 39*c - 200186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 917047.6kg in milligrams?\nAnswer: 917047600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.55 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o + 2397 - 159211. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/84 and 87\/22.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -56*g - 786. Let q(d) = d. Give q(v(k)).\nAnswer: -56*k - 786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(360\/(-12)))\/(3*(-4)\/144).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**5 - 3*j**5 - 2*j**5)*(7 - 4 + 6).\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**5*v + 5*c**3*v + 89*c**3 - 6*c - 602*v wrt c?\nAnswer: -100*c**3*v + 30*c*v + 534*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*i + 17*i + 12*i)*(3 + 2 - 3)*(4 - 4 + 1 + 1 + 1 - 3 + (1 + 1 - 3)*(1 - 3 + 4)) to the form f*i + g and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 5)*(-33*i - 144*i + 29*i).\nAnswer: -444*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1046 - -1941. What are the prime factors of t?\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (-11 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f\/(f\/(f\/(f**(-3)\/f*f)))*f)\/f*f)*f*f*f**1\/f)\/(f**(-2))**(-15)*(f*f**7*f*f**(-1\/26)*f)**12 assuming f is positive.\nAnswer: f**(1125\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2\/3, 21, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Let c(a) = 0*a + a**n + 4*a - 5*a**2 - 3 - 3*a. What are the prime factors of c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-266)\/208) + -14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 4*l + 8. Let d be u(6). What is the greatest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - 2*-2. Suppose -2*a - 4*i + 115 = a, 188 = n*a + 3*i. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -502?\nAnswer: -1\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**3*f*f\/f**(-45)*((f**(-25\/2)\/f)\/f)**(-2\/17))**(-41) assuming f is positive.\nAnswer: f**(-36736\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*v - 7, -5*v - 4 = 5*u + 1. Suppose 0 = -0*t - t + u. Is (3\/(-9))\/(t\/(-114)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 102697503 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/4 + (-18 - -22)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:49 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63472 and 68863153?\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 7\/6*z**2 + 1\/6*z**5 + z - 1\/2*z**3 - 1\/2*z**4.\nAnswer: z*(z - 3)*(z - 2)*(z + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12345 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 267*k + 5934.\nAnswer: 3*(k - 46)*(k - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160\/5*((-9)\/6 + 2) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 - -151. Let m = -182 - -1272\/7. Which is the smallest value? (a) 0.2 (b) 4 (c) m (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4\/5 + 42*w**3\/5 - 36*w**2\/5 - 42*w\/5 + 39\/5 = 0. Calculate w.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.42135 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.2 + 27.5. Sort n, 2, 2\/7, -0.5 in decreasing order.\nAnswer: 2, n, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 3*j, 5*j - 110 = -3*y - 109. Factor -2\/3*g**j - 4704 + 112*g.\nAnswer: -2*(g - 84)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3)*1)*-1.\nAnswer: -3 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(2 + 560\/(-276)). Suppose -10 = 2*h, 0*t = 5*t - 5*h - 585. Suppose 43 = -f + t. What is the greatest common factor of f and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32550 and 4200.\nAnswer: 130200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-2\/13))\/y))**(-25) assuming y is positive.\nAnswer: y**(-375\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*a + 6463*a + 15950*a.\nAnswer: 22539*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 307 - 122. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 3 - 4*c + 1 + (-1 - 2 + 1)*(2*c - 2*c + 2*c).\nAnswer: -8*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 63\/4*q + 3\/4*q**2 + 0 = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 534.8739um?\nAnswer: 534873.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**36*p**25*p)**(-2\/13) assuming p is positive.\nAnswer: p**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1514487 is divided by 1065.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -24.81. Let f = z - -0.06. Which is smaller: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 = -5*b. Calculate the common denominator of 21\/10 and b\/(-3) + 169\/48.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 90108757, 90108756, 90108755, 90108754, 90108753, 90108752?\n\"Answer: -k + 90108758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, -5, -0.5.\nAnswer: -5, -0.5, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/145950 and -91\/20850.\nAnswer: 145950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) 82.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(104\/65).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20301220111300 + -1?\nAnswer: -20301220111301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/45)\/(3 - (-64)\/(-20)). Let j be ((-14)\/(-6))\/((-3)\/(-18)). Let m = -3 + j. Solve -2*n - m + a = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + u + 2. Let p = 7 - 5. Let a be q(p). Let y = 1 + a. Solve -3*b = 2*d + 11, b = -0*b - y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(6\/(-4)*1). Let s be (18\/(-12))\/(n\/(-4)). Suppose 2*y - 4400 = s*y. What is y rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 4. Let m be x(-9). Let y(l) = 2*l - 1. Let a(u) = -4*u + 2. Let q(s) = s**3 - 5*s**2 + 3*s + 2. Let n be q(4). Calculate m*y(r) + n*a(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 19*v - 22. Let q be k(-18). Let z = -7.3 - -7. What is the closest to q in -2\/5, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.59999861 + 29.6. What is r rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8 = 22. Let m be 780\/25*-1*(-20)\/h. What is the greatest common divisor of 26 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 214 = -5*s, -192 = -4*s - 3*y + 5*y. Suppose -s + 58 = 3*a. Put -8, a, -5 in increasing order.\nAnswer: -8, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 742*n**2 + 7420*n - 16. What is z(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-416)\/(-7) + (-8)\/(-14). Suppose 13*q = 19*q - t. Calculate the smallest common multiple of 109 and q.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 - 9*d**2 - 95*d - 130. Calculate h(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-21) + 618740\/168. Let y = 3663 - n. Find the common denominator of -1\/2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3)*3)\/(-2). Let u be (-26)\/(-68) - t\/(-2). Let w = -421 + 2525\/6. Put 0, w, u in descending order.\nAnswer: 0, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 15 - 29 = 4*p, 3*p + 29 = -j. Let u(l) = -l**2 - 2*l. Let m(r) = r - 1. Let w(c) = 3*m(c) - u(c). What is the tens digit of w(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 9142, -14.\nAnswer: -18, -14, 9142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1323296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*r - 32 = 0, 3*m - 30 = 477*r - 481*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/48 - 5\/6*-5. Suppose -2*a - h + 8 = 0. Suppose a*c = -c + 45. What is the smallest common multiple of 1 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*l + 83*l - 5*k = 35, 2*l = -3*k - 29 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2173*w + 12. Let q(r) = -1085*r + 6. Give -6*p(u) + 13*q(u).\nAnswer: -1067*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3355, -3584, -3799, -3994, -4163, -4300?\nAnswer: -4399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (-24)\/(-2) + (-78)\/13. Sort 14, v, -7.\nAnswer: -7, v, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.396108 millilitres to litres.\nAnswer: 0.002396108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = 372. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c + 0*c + c)*(-3 + 0 + 2) + 3*c - 3*c + c)*(56 + 8 + 2).\nAnswer: 198*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64336105340 - 0?\nAnswer: -64336105340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 140950*u**2 - 2484278734*u - 32271807386.\nAnswer: -2*(u + 13)*(u + 35231)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1496, -2716, -3910, -5066, -6172, -7216?\nAnswer: -8186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -26 + -2 - 2. Let v = 59 + u. Let o = v + -321\/11. Which is the biggest value? (a) -0.1 (b) o (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1140*w**4 + 289*w**2 - 304*w**2 + 506*w**2 - 13*w**4 + 2 wrt w?\nAnswer: -27672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + (-97 - -3) - (23 - -1).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 3, -1, 0.1, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 11*j - 35 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*-5*(5 + (sqrt(1584)*-1 - sqrt(1584))*4)*6.\nAnswer: -2880*sqrt(11) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*884\/102?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 24. Solve 0 = -5*u + 3*u + y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 + 0*k**5 - 6*k**5 + (-21 - 12 + 12)*(2*k**3 + 3*k**5 - 2*k**3) + 0*k**3 - k**5 + 0*k**3.\nAnswer: -67*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/3)\/((-36)\/(-48)) - -232069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/(-32))\/(90\/120)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, 3, 0, -0.3, -1\/3 in decreasing order.\nAnswer: 3, 5\/7, 0, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*w**2 - 2 + 3 + 51*w - 52*w as s*w**2 + h + l*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 46, 108, 222, 406, 678, 1056?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*u**3\/5 + 117519*u**2\/5 + 24682962*u\/5 + 2145456\/5 = 0 for u.\nAnswer: -951\/2, -376, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 104 = 2*j. Suppose 0 = u + j - 6. Let k = -36 - u. What is k rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18146 - -2313?\nAnswer: -15733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167\/636 - 2\/159. Put 4, 0.1, h, 2 in ascending order.\nAnswer: 0.1, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 2*u + 49*u - 7*u**2 + 50*u - 97*u.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -1481085 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49693 - 3.84.\nAnswer: -49696.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 0*i + 2*i + i. Let w(t) = -22*t + 32. Let q(a) = 23*a - 38. Let f(o) = -4*q(o) - 5*w(o). Give f(l(s)).\nAnswer: 36*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 2315*t**3 - 6915*t**2 - 6905*t - 2300.\nAnswer: -5*(t + 1)**3*(t + 460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-14)*-8)\/((-30)\/35)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 129, 280, 503, 804, 1189, 1664?\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35718644*v**4 - 26257758*v wrt v?\nAnswer: 428623728*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/13 (b) -4 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27473*d**3 + 54952*d**3 + 8*d**2 - 27477*d**3.\nAnswer: 2*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 10*y**2 - 4*y - 32. Is h(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -4e?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (645 + 122 - 16)*(b**4 - b + b) as g + h*b**4 + p*b**2 + i*b + t*b**3 and give h.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Let i be (1 - 4)\/(-3 - 704\/(-235)). Suppose i = -m*d + 9*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 31850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/37 (b) -0.09 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.3 - -52.3. What is the nearest to -1\/3 in -3, -2\/11, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 66*x**2 - 409*x + 2. Calculate v(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 192 = -468. Suppose r - 12 + 0 = 0. Calculate the greatest common divisor of o and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62203*m - 11289 = 62416*m for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13079000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 284830.045 to the nearest 100.\nAnswer: 284800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/60 + s**5\/60 + s**4\/6 - s**3\/6 + 821*s**2. Let c(w) = -w**3 + w. Give -4*c(o) + j(o).\nAnswer: 6*o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 11*j - 8*j - 2, -2*j = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*d + 301*d + 19791 = -127*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 140 = 24*m + 37*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2860 and 402688.\nAnswer: 2013440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 4a?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 3, 11, -1 in increasing order.\nAnswer: -1, 1\/7, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 15*k + 58. Suppose 16*y = 15*y - 9. Let s be c(y). Solve 4*q - s*p - 4 = 0, 2 = 2*q - 4*q + 3*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 7*c**3 - c**3 + 3*c**3 - 6*c**3 + 13*c**3 + (0*c + c + 2*c)*(4 + 2*c**2 - 4).\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4393*k - 25452. Calculate f(-6).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 845, 848, 853, 860, 869?\n\"Answer: c**2 + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i + 25. Let u(l) = 2*l + 12. Let w(p) = 7*u(p) - 3*z(p). What is the remainder when 66 is divided by w(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 6*x**2 - 3*x + 4. Let i be g(6). Let r(w) = -11 + 11 - 3*w**2 + 4*w**2 + 25*w - 11*w. Let d be r(i). Sort d, -3, -5.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -141086 - 73833. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let k be (1*(-30)\/9)\/(8\/(-12)). Which is the nearest to t? (a) k (b) 2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221220065*s**2 - s - 285924 wrt s.\nAnswer: 442440130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 1289, 2935, 5249, 8231?\nAnswer: 11881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521328509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 12 = -27*b. Let f = b + -9. Does f = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c - 89*c + 177 = 0. Let d(x) be the first derivative of -4*x + 0*x**2 + 3\/4*x**4 - 6 + 0*x**c. What is the derivative of d(o) wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3360096 is divided by 1413?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6 and -34\/3747.\nAnswer: 7494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34*(-3)\/2*9*6\/(-162)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290 + -293. Let o(z) be the third derivative of -5*z**4\/24 - 2*z**3\/3 + z**2. Let k(y) = -4*y - 3. Calculate c*k(q) + 2*o(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -95*(-570)\/7942*11?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -12 - (6 - -2)) + -82 + -1 + 1?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -23092898?\nAnswer: -23092902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b - 17. Let v be -22 - ((-18)\/7 + 6\/(-14)). Let w be q(v). Suppose 18*c - w = 16*c. Is 35 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*n - 52*n - 155296 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 11. Suppose -15*q + 19*q - 49 = -5*c, q + 3*c = 21. What is b(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 17. Let o = 37 + -32. Let d be y(o). Let g(u) be the second derivative of u**3\/3 + u**2 + u. Calculate g(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s + 1\/12*s**5 - 1\/8*s**4 + 0 + 102*s**2 - 1\/120*s**6 - 3\/2*s**3. Factor o(d).\nAnswer: -(d - 3)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 76*c**2 + c - 3. Let m be u(-2). Let q = m - 291. Suppose -w - w = -4. Calculate the least common multiple of w and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31679 = -2*l + r + 31650, 5*l = -4*r - 92 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 2*l**5\/35 + l**4\/7 - 16*l**3\/21 + 276. Solve g(x) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6335*t**2 + 5801*t?\nAnswer: -12670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from gpphhgphpzkhkgppp?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 smaller than -332814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25888018850 and -3.\nAnswer: 25888018847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2381, -19258, -65217, -154844, -302725, -523446, -831593?\n\"Answer: -2431*o**3 + 45*o**2 + 5*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(17)*1 + 3.\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/2 - 16930*g**2 + 4955811*g\/2 = 0.\nAnswer: 0, 147, 33713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 5.7. Let y = 1079.8703 + -1073.870343. Let p = y - j. Round p to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11773552 - -4?\nAnswer: -11773549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34108, 34112, 34118, 34126, 34136?\n\"Answer: v**2 + v + 34106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -115*l**7\/21 + l**6\/15 + l**5\/20 - 3*l**3\/2 - 423*l**2\/2 - 5398*l. What is the second derivative of f(q) wrt q?\nAnswer: -4600*q**3 + 24*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*w + 4*o + 18, 5*o = 5*w - 25. Suppose 341 = -b + 12*b. Let s(p) = 2*p - 54. Let d be s(b). Do w and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 11:00 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1037*o**2*s + 31771*o**2 - 2*o*s**2 - 169352196*s**2 wrt o?\nAnswer: 2074*o*s + 63542*o - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 + 5*m**2 + 2. Let l(j) = 6*j**3 + 14*j**2 - j + 7. Let f be 2 - ((-135)\/18)\/5*-6. Give f*p(q) + 2*l(q).\nAnswer: -2*q**3 - 7*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 9:59 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13182 is divided by 6535.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*s = -0*j - 3940, -5*j = -5*s - 4945. Let h = 1808 - j. What are the prime factors of h?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-8)*786\/18*(-5)\/2450 and 91\/16?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10297863 is divided by 101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 3*m**3\/2 - m - 5. Let i(v) = 341*v. Calculate -77*b(g) + 2*i(g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - ((-4 - -1) + -9 + 10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/4)\/(b*b**3)*(b\/((b\/b**(-2\/3)*b)\/b))**(-12) assuming b is positive.\nAnswer: b**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {b: 5, f: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -27.66758814988?\nAnswer: 33.66758814988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -780\/2779 + -2\/397. Let t be (-2)\/(-5)*334\/(-12). Let p = -59\/5 - t. What is the nearest to p in k, 0.4, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-1482)\/(2128\/(-56)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 27 = 2*r, -29*d = -25*d + 2*r - 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -8.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 3. Let m be t(6). Suppose 4*s - m = 5. Solve s*q + 12 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 11 - (-48)\/((-11808)\/2993). Which is the fourth smallest value? (a) q (b) -6 (c) -11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 28, -3.5, -0.4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 743*o - 40. Let y(f) = -744*f + 42. Let c(l) = 7*m(l) + 6*y(l). Is c(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n + 4*n - 1168. Let k = n - -76. Factor 24*b**3 - 20*b**3 + k*b**5 + 6*b**4 - b**5.\nAnswer: 2*b**3*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146927 is divided by 973.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, k: 4}. What is prob of picking 3 i and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 24*z - 4 - 51*z.\nAnswer: -75*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1025 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 1087571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 - 5)\/(-7) + -4 and 43\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = m - 0*a, -5*a = -m + 7. What is the derivative of -9 - 12*h**m - 1 + 2*h**2 + 2 wrt h?\nAnswer: -20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1648 - 1675 = -3*i, -h + 5*i - 52 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)*m*m*m)**(-6)*(m\/m**(-2)*m)\/(m*m**4*m))**(-18\/11) assuming m is positive.\nAnswer: m**(288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 42. Let y(h) = -h - 14. Determine -2*l(i) - 7*y(i).\nAnswer: -i + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lvvvllvvvvlvvvvvlvv.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2077 - -2077.00002318. Round g to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, t: 2, n: 2, q: 2}. What is prob of picking 2 t and 1 k?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2857b10 - 1?\nAnswer: 2857b0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*l + 15 - 48 = 0, 0 = -4*u - 3*l + 247. Let s(b) = 14*b**3 - 239*b**2 + 37*b - 50. Let c be s(17). Calculate the highest common factor of u and c.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 11. Let p be 26\/g - (-9)\/3. Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88214548, -88214547, -88214546, -88214545, -88214544?\nAnswer: -88214543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1028 + -1578. Let y = -561 - a. Let r(f) = f**2 + 12*f + 10. What is r(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 6*q - 11. Let b = -18 - -10. Let r be p(b). Suppose -j - 2*z = -r*j - 2, -2 = 2*z. Is -4\/3 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -2, 1, -474, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 9049616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 16*v**4 - 11*v**2 - 33 + 2*v + 15*v**2 wrt v?\nAnswer: 192*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 19*z**2 + 32*z + 105. Let w be a(31). What is w rounded to the nearest one hundred?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l - 1 + 5 - 2. Suppose 9*n + 5*g + 16 = 5*n, -3*n = -2*g + 12. Is 18 a factor of u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 20 = 6*g. Suppose 3*n - g*n + 4*h + 39 = 0, 76 = 4*n + 4*h. Suppose 3 = n*m - 26*m. Which is smaller: -9\/5 or m?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9365 divided by -1873?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.58 - 0.42. Let d = y + 30. What is the nearest to 7\/2 in d, -1, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 17. Let j be t(4). Let k(f) = -f**3 + 13*f**2 + 2. Let z be k(j). Solve z = -2*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5223791240?\nAnswer: 2, 5, 130594781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omss when four letters picked without replacement from lmsmomnnnnsnlnmlmnsn.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12045*g = 522283 - 174893 + 218725 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14aab + b5?\nAnswer: 14ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 427.17 - 438. Let a = z - 0.17. Let w = a - -10.7. What is the smallest value in w, 3, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 11:16 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:12 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 39 = 2*s - i, -4*s + 38 = 2*i. Let q = 18 - s. Let v = -0.6808 - -1.0808. Put 0, v, q in decreasing order.\nAnswer: q, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w - 3. Let f(u) = u. Let h = -10 + 9. Let n(d) = h*j(d) - 5*f(d). What is the tens digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z - 27*z + 112 + 823 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 35. What is the highest common divisor of v and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -4, 1\/127, -1 in descending order.\nAnswer: 1\/127, -1, -4, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19288 - 19265. Solve 0 = t*x - 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*i - 21, -2*i + 3*i - n - 9 = 0. Suppose 5*g = u + i*u - 630, 4*u + g - 499 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -70*w - 26. Let l(i) = 6*i + 9. What is -11*l(a) - 4*y(a)?\nAnswer: 214*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687390834, 1374781666, 2062172496, 2749563324, 3436954150?\nAnswer: 4124344974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, g: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/21 + 4\/(-28)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -21*j**5\/20 + j**4\/6 - j**2\/2 - 2*j. Let x be r(-1). Let o = -184 + 195. What is the greatest common factor of o and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111100 - 11001111011110?\nAnswer: -11011110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**5\/15 + 25*w**4\/24 + w**3 - 7*w**2\/2 - 41. Let x(j) be the second derivative of m(j). Is x(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaa when three letters picked without replacement from {a: 7, x: 2, w: 1, y: 8}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3862176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s - 4*s - 4*s. Let d(c) = 3*c + 2. Let n(h) = h + 1. Let z(v) = -d(v) + 2*n(v). What is f(z(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -198.4.\nAnswer: 376.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + b)*(8*b**2 + 11*b - 11*b) + (4 - 2 - 4)*(-11 + b + 11)*(2*b**2 + 24*b**2 + 4*b**2).\nAnswer: -52*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.48\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t + 6. Let d be o(5). Let k = d + 8. Let n(b) = -2*b - 8. Let r be n(k). Solve r*s + 6 = -2*g, s + 4*g = 6*g + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 4. Let d = -180 - -787. Let i = 607 - d. Which is the third smallest value? (a) o (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9122.216 meters?\nAnswer: 912221.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.11121ug in tonnes?\nAnswer: 0.00000000000311121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2082109427 to 4 decimal places.\nAnswer: -0.2082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15902 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30789214 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*p = -10, 0*l - 25 = -2*l - 5*p. Suppose 5*m - 1977 - 273 = l. What is m rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nmnnmmm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4390281 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3603 and -4.07.\nAnswer: 1.466421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b - 12. Let r be y(10). Let q = r - -90. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1755 and 975.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2947 - -3073. What is the remainder when o is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2 - 3*v - 6. Let a(x) = 0*x - 7*x - 308 + 17*x**2 + 295. Calculate 6*a(r) - 13*n(r).\nAnswer: -2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2325 - 2324.8. What is the closest to 0.1 in 0.5, f, -0.0965?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10 - (-184)\/828*(-3)\/(-10).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001031303 (base 4) in base 10?\nAnswer: 267123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/4 - 585*r.\nAnswer: 5*r*(r - 468)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -2.3. Suppose 38442 = -58*d + 38674. Which is the closest to 2\/3? (a) d (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113488.\nAnswer: 2, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -209814 and -831?\nAnswer: 174355434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, q: 1, l: 2, p: 4}. Give prob of sequence qpb.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 225*u**2 + 12*u - 12. Calculate the remainder when q(1) is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 15. Suppose -h - k = -5*m + 8, 5*m = -4*h + 15. Suppose -12 = 5*v + 4*f - 0*f, -v = m*f - 2. Which is the biggest value? (a) 4 (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 13. Let d be a(15). Find the third derivative of 13*s**2 + d*s**2 - 5*s**5 + 7*s**2 wrt s.\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -1887, -4233, -7517?\nAnswer: -11739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16125*z - 257956. Calculate x(-16).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -2741?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 8:09 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105377\/40920 - -1\/5115. Let j = -92063\/10 + 9218. Calculate the common denominator of b and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2341?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1.33603.\nAnswer: 0.534412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.34 + -0.16. Let c = -17.2 - g. Let y = 11.7094 + c. What is y rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = -42 - 18. Let q = 6 + n. Solve -5*y + 6 = q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -20*t + s + 114, -2*t + 3*s + 52 = 0. Suppose -2*p - t + 55 = 0. Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 7 - 3 - 3*u**4 + 18 - 7*u**2 to w*u**4 + m + x*u**2 + j*u**3 + k*u and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21294058 and 526.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.8376l in millilitres?\nAnswer: 607837.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from {h: 2, a: 1, t: 1, d: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i + 5*g = 29*i - 188, 0 = 5*i - g - 470. Is 379\/4 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*z**2 + 89*z**2 + 77*z**2 + 3*z**2 + 35*z wrt z?\nAnswer: 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/36 + 29*x**3\/2 + 130*x**2\/3 + 57*x - 4. Factor c(z).\nAnswer: (z + 1)*(z + 260)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69315 - 0?\nAnswer: -69315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 39.6?\nAnswer: 39.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/230 and -53\/161.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28842345 by 23.\nAnswer: -1254015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 6*k + 5. Suppose 6*h = -19*h - 100. What are the prime factors of u(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(190)*-1)\/(2*sqrt(1000)))**2 + -1)*-1.\nAnswer: 81\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 + 3 - (7 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*f**3 + 2214*f**2 + 139576*f + 2.\nAnswer: -366*f + 4428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1273 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2 + i**2 - 9*i + 0 + 2*i. Let b be x(7). What is the closest to b in 4, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 5*l - 2. Let a(i) = -i. Let j(o) = 3*a(o) - n(o). Let h be j(-2). Let v(k) = -2*k**2 - h + 7*k**2 + 8*k - k**2 - 5*k**2. What is v(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5689 - 12066 = 0. Let g = p - 1965. Does 63 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0316 - -0.0643?\nAnswer: 0.0959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -1. Let q = 17 - r. Suppose 0 = j + 5*m - 14, 0 = 3*j - q*m - 11 - 71. What is the highest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*l + 21, -2*s - 5*l - 19 = s. Suppose 2*a + n + s = -2, n = 3*a - 4. Suppose q + 3 - 5 = a. Is 2 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, -0.9, -0.05667?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 + 48*i - 29. Let c be w(7). What is the closest to c in -27, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 r, and 1 m when four letters picked without replacement from rvmsivrsrs?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 33. Let u(g) = g**3 + 7*g**2 + 6*g - 3. What is u(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/103, -12\/143, -2\/3 in descending order.\nAnswer: 30\/103, -12\/143, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -24*r - 144. Let u be h(-23). Let j = u + -412. Let q = 2 + -2.1. What is the smallest value in j, 0.05, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2616 = 109*q + 1121 - 1775 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 38*t - 201. What is p(-10)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - (-52)\/8)*-2. Solve -r = -161*z + 160*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 6*v**2 + 5*v + 4. What is x(5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2) - (-396)\/742. Let z = 440054\/821765 - k. Let b = -241379\/31010 - z. Calculate the common denominator of b and 105\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 11951940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, 0.1, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1801, -2847, -4591, -7033?\nAnswer: -10173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3 + 12 - m - 1. Let b(o) = -3*o**3 - 3*o**2 - 6. Let s(h) = h**3 - h. Let v(d) = b(d) + 2*s(d). Let x be v(-3). Calculate j(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1665\/(-370))\/(2\/10))\/(12\/16).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, -32, -31, -30?\n\"Answer: u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*r + 12 = 1, 2*x + 5*r = -12. What is the nearest to 0.1 in -1\/5, x, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -25. Let n be (10\/s)\/((-1)\/(-3)). Suppose 123126 = -n*t + 15626. Round t to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3584 - 5402?\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 19 + (-56)\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 18. What is the greatest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27445190273 + -27445183669.9994034. Let r = -6603 + u. Round r to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/2 + 7*j**4 + 22*j**3 - 13*j**2 - 141*j\/2 + 54 = 0. Calculate j.\nAnswer: -9, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 32 = 5*y - 3, 4*y + 4*t = -12. Calculate the greatest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w, -3*b + 16 = w + 92. Let u = -18 - b. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(1\/4)*m\/((m*m*m\/m**(1\/4))\/m*m) assuming m is positive.\nAnswer: 1\/sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/10 and -85\/39664.\nAnswer: 198320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 38 = 2*g, -2*g + 14985*r = 14981*r - 32 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a2 - 17b5?\nAnswer: -1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2650572 divided by 40\nAnswer: 662643\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 2001?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o + 4. Let g(c) = c - 5*c - 3 - 3*c + 2*c. Let x(r) = -3*g(r) - 2*p(r). Let u = 3 + -2. Calculate x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f - 4*k + 32, -4*k = 3*f + 3. Let y(p) be the third derivative of 0 - p**2 + p**3 + 0*p - 1\/4*p**4. Let m(b) = -b + 1. What is f*m(s) + y(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**3)**(4\/13)*(u*u*u\/u**(-5))\/u*u**(-9)*u)**(6\/5))**2 assuming u is positive.\nAnswer: u**(36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220312 (base 4) in base 8?\nAnswer: 15066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*w**2 - 4488*w + 4488*w + 419*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5 + 3*n + n + 4. Let y(q) = q - 6. Let l be y(0). Let d(o) = o. Give l*d(i) + h(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3 + 0*l**2 + 1\/54*l**4 - 1\/27*l**3 - l. Let g(x) be the first derivative of q(x). Solve g(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -1\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 758, 1295, 1816, 2315, 2786, 3223, 3620?\nAnswer: 3971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:03 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w + 63 = 35*w. Calculate the lowest common multiple of (-3)\/w - (-12)\/14 and (-10)\/(-35) - 192\/(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 8*b + 3*b - 11*b**3 - b**2 + 1 + 2*b. Let v be n(1). Let a be ((-8)\/(-6))\/(8\/v). Are a and -2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + -9 - -10) + (1 - (5 - -2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -5. Let u be 16 - h - (4\/(-1))\/1. What are the prime factors of 35*2*u\/8?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001692 rounded to seven dps?\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-20))\/((-66)\/220)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -138, -4, -2, 4, -1 in descending order.\nAnswer: 4, -1, -2, -4, -49, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12139\/8 - (-54)\/(-144)?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 4*w**2 - 8*w - 3. Calculate j(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/16580 and 97\/3316.\nAnswer: 16580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 = -s + 6, -s - 7 = -3*i. Suppose -3*k - 24 = -2*n + k, 3*k = -i*n - 11. Solve c = -2*t + 3*t, -n*c + 10 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 302*a**2 - 259*a**2 + 824*a**2 in the form i + y*a**2 + c*a and give y.\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1, 0.3, 3579?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1194186, -1194183, -1194180?\n\"Answer: 3*j - 1194189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1505, 7, 72, -1 in decreasing order.\nAnswer: 1505, 72, 7, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4 = -m - 12, -15 = -5*m - r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 16. Let a be (18\/m + 3)*-112. Let q = a + -42. Calculate the greatest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81\/2*o**3 + 63*o**2 - 49\/2*o + 0.\nAnswer: -o*(9*o - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 + -6) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {q: 4, z: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u + 147 = -3*f, 79*u - 4 = 4*f + 83*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62390 (base 13) to base 10.\nAnswer: -176384","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3*(-1 - -1428))\/(36\/(-24)). Suppose 0 = v + 4*q - 3011, -4*v = -5*q + d - 14898. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**0))**31*((j*j*j**(-2\/3))\/j)**(-1\/2))\/((((j\/j**(2\/7)*j)\/j)\/j)\/((j*j*j**9)\/j))**31 assuming j is positive.\nAnswer: j**(13385\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-18))\/s**(-31))\/(((s*s**8*s)\/s)\/s**(3\/11)) assuming s is positive.\nAnswer: s**(454\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -14016799 equal to -154184802\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12*(42\/8 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 8*g + 5. Let k be m(-6). Let j = 32 + k. Let y = j + -12. Solve y + 2 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o = -2*o - 27*o - 640 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.3, -3, 0, -0.4, 15, 2\/7 in increasing order.\nAnswer: -12.3, -3, -0.4, 0, 2\/7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-6)\/2)*1)\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168290.1 litres in millilitres?\nAnswer: 168290100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 * -0.24\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c - 5*c + c)*(-4 + 2 + 0) - c + 0*c - c in the form n*c + m and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 9) to base 2.\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 962? (a) 4 (b) -0.8 (c) 1\/4 (d) 5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -148207, -148816, -149425, -150034, -150643, -151252?\n\"Answer: -609*q - 147598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f + 8. Let z be h(-6). Let b be (-10)\/z + 62\/10. Suppose -b*v + v = -4445. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5779 - -52.57.\nAnswer: -5726.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -193938 divided by 6\nAnswer: -32323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -480*f**2 - 5221 + 5221 + (f - 3*f + 0*f)*(0 + 0 - f) to the form s*f**2 + n + j*f and give s.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/6)\/(3\/(-6)) - -2105. Let z = -349 + v. Is (-2)\/(-7) + z\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(4) + sqrt(8)\/sqrt(2)*5 + sqrt(4)))\/(4*sqrt(10)\/sqrt(5) + sqrt(2) - ((sqrt(2) - (sqrt(2) + 2*sqrt(2)))*2 - sqrt(2))).\nAnswer: sqrt(13)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*(n\/((n*n**(-3)\/n*n*n)\/n))\/n)**9*(n*n**(1\/3))**(-22\/5)*n**(3\/4)*n\/n**3 assuming n is positive.\nAnswer: n**(2813\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*(p*p*p**3)\/p*p**(-15)\/p assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -387*d**3 - 3*d**2 + 1255. Let l(h) = 1936*h**3 + 16*h**2 - 6278. Let m(s) = 3*l(s) + 16*x(s). Find the first derivative of m(n) wrt n.\nAnswer: -1152*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -41?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085166 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277670.\nAnswer: 2, 5, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 578*j - 1.\nAnswer: -578*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:20 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 44. Let l = 42 - d. What is the nearest to l in 0.3, 9, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7659\/1449 - (-2)\/(-7). Suppose -3*d = -23 - 25. Solve 2*y + b*c - 20 = y, -y + 4*c - d = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351510113?\nAnswer: 351510113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-24)*k**(-19\/4) assuming k is positive.\nAnswer: k**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42255 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -146. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 2. Let o(p) = 3*p + 3. Let m(t) = 3*f(t) - 2*o(t). Let h(a) = -13*a + 7. Let z(b) = -4*b + 2. Let k(c) = -6*h(c) + 21*z(c). What is m(k(u))?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1651*y - 3646. Let k be p(-4). What is the greatest common factor of 68 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53441000.\nAnswer: 2, 5, 53441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:33 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-667)\/1624 + (-2)\/(-7))\/1. Which is the nearest to 2\/7? (a) 0 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-32))\/r)\/(r**(-7)*r))**(-11) assuming r is positive.\nAnswer: r**275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213659359?\nAnswer: 263, 812393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 536114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12985 + 22081. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011819.\nAnswer: 101, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6522001 micrograms to grams.\nAnswer: 0.0000006522001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/328 or 1?\nAnswer: -3\/328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 28*q**2 - 75*q + 6. Let b be o(-25). Solve 6 = -4*i - b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b. Let j = -5 + 4. Let r be f(j). Suppose 5*x + 4*y - 37 = 0, -3*x + r*y = -6 - 0. Solve -x*l + 5 = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0)**(-14\/3))**(2\/55))**(-17\/5) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -577533*q + 3857281.\nAnswer: -577533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -1859, -4517, -8337, -13325, -19487?\nAnswer: -26829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 100*b**2 - 1219*b - 205. What is l(111)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38148, 152616, 343380, 610434, 953772?\nAnswer: 1373388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - k + 0*k)*(98*k + 893*k + 366*k) to the form h*k + w*k**2 + s and give w.\nAnswer: 2714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517430439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*p**4 - 1 + 158*p**4 + 304*p**2 + 0 + 24*p**6 + 28*p**6 wrt p?\nAnswer: 6240*p**3 + 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -33 - (-15 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 + 5*q**2 + 5*q + 12. Let u(v) = -9*v**3 - 9*v**2 - 9*v - 24. Let d(l) = 11*k(l) + 6*u(l). What is d(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(684)*1 + 4 + (sqrt(76)\/sqrt(4) + 3 + sqrt(19) - sqrt(76)\/sqrt(4)*-2)**2.\nAnswer: 48*sqrt(19) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474504197?\nAnswer: 31, 15306587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 116 = -131 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1621, 1609, 1583, 1537, 1465, 1361, 1219, 1033?\n\"Answer: -h**3 - h**2 - 2*h + 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millennium in centuries?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 + 1932 - 1931 - 6*z**3 + 0*z**2 + 0*z**2 to w + n*z + b*z**3 + d*z**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 159 = 0. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45097.37 kilometers to millimeters.\nAnswer: 45097370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25577*n - 25514*n = 8568. What is the remainder when 183 is divided by n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 154.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/408 - (-56)\/187.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0576 - -55.7576. Let q = p - 56. Which is the fourth smallest value? (a) 2\/7 (b) 1 (c) q (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -1 - (5 + -36). What is the highest common factor of 33 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usuuuwuewsuns. What is prob of sequence wuew?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 10867712.9 to the nearest 10000.\nAnswer: 10870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/4, -3, 1\/8, 10 in increasing order.\nAnswer: -3, 1\/8, 21\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, -47, -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-2 - -7) - 0) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/4 (c) 1\/16 (d) -0.5 (e) 573\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 2*w**3\/3 + 8*w**2 - 17*w - 6. Let c be n(-9). Let x = -990\/7 - -32642\/231. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86\/9*d**3 - 5488\/9 - 2\/9*d**4 - 140*d**2 - 6664\/9*d.\nAnswer: -2*(d + 1)*(d + 14)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 6:48 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 606 - 563. What is m in m**3 + 122 + 0*m**3 - y + 128*m - 203 - 35*m**2 = 0?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aakieiiaiiiekii. What is prob of sequence eii?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = q - 107, 160*c - 153*c + 42 = 2*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -67, -105, -145, -187, -231?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2516*-0.09207.\nAnswer: 231.64812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7460999ml in litres?\nAnswer: 0.0007460999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*r**2 - 118*r**3 - 25*r**2 + 179*r**2 + r as i + l*r + t*r**2 + f*r**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 4 - 5*h**3 + 3*h**3 + h**2 + 4*h - 2 as x*h**3 + r*h + c + j*h**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243097 by -6.\nAnswer: 243097\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40841 from -17378245117.\nAnswer: -17378285958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2 + 3849*h - 30984 = 0. What is h?\nAnswer: -1291, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let d = 107 + -106. What is the closest to d in 4\/5, -0.1, p?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -31*g. Let y(h) = 13665*h**2 - 7. Determine i(y(o)).\nAnswer: -423615*o**2 + 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1044.7265 - 1044.60650051. Let g = -0.12 + i. Round g to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9553 - -2583. What is s rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154*m - 294*m + 3 + 72*m + (1 - 3 + 0)*(1 + m - 1))*(-2 - 3 + 5 + 8).\nAnswer: -560*m + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - q - 1. Let g = 1089 + -1088. Let y(i) = 4*i**2 + 8*i + 7. What is g*y(r) + 6*f(r)?\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -173 (c) 5188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-106)\/5*(-34 + -1). Suppose -930 = -c + j + 2*j, 5*c - 4618 = -j. Suppose -2*g - u + 51 = -3*k, -2*g - c = -4*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -17 - 103. Let s = 5 + -8. Let t be (-3 + 3 - s) + 3. What is the highest common divisor of a and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*a = -6, -2*i + 3*a = 2*a - 6. Suppose 62*w - 495 = 47*w. Calculate the least common multiple of i and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552769366?\nAnswer: 2, 197, 3941039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zipzpkffr. Give prob of sequence pz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 1 - 1)*(-4*x - 18 - 18 + 6) to b*x + a + k*x**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*a + 127*a + 141*a + 67*a + 150*a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -381670 - -381633.7934. Let f = b - -36.2. Round f to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93 + 20*d + 47 + 44 + 0*d + 0*d - d - 3*d + 2*d - d + 2*d - 2 + 2 + (6 - 3 - 4)*(0*d - 5*d + 3*d).\nAnswer: 21*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from lllbellbllobloe?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/42*2*(-24)\/196.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 2855472?\nAnswer: 2855469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2 + 22488*k - 67455 = 0.\nAnswer: 3, 22485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*x + 1364217 = 0, -3*r - 3*x + 549324 = -814890. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45156, 44585, 43630, 42285, 40544, 38401?\nAnswer: 35850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5*s - 6. Let u be r(7). Suppose -5*k + k + u = 0. Differentiate -k - 1 + 2*z**2 + 1 + 5 with respect to z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:26 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 26, 52, 78?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 14*w - 34. Determine x(13).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + x + 4 + 7, -5*x + 25 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -37*h**3 + 5*h**2 - 5*h - 1. Let w(m) = -36*m**3 + 4*m**2 - 4*m - 1. Give 4*b(j) - 5*w(j).\nAnswer: 32*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 11:58 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 = 5*b - 3*b, -6 = -3*b. Suppose 10 = -z*t - 4. Let n(h) = -4*h - 3. Let c be n(t). Solve 0 = -2*w + c - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t = 96*t - 1216 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from bylklbqx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.245.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymf when three letters picked without replacement from xxmrxxyyrf?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248\/216 + -1)\/(1008\/1575*(-10)\/(-24)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591449, -1182899, -1774349, -2365799?\nAnswer: -2957249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isis when four letters picked without replacement from {i: 3, s: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {n: 1, c: 1, f: 1, v: 1, b: 1, t: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*c + 5*d + 15, 4*c - 5*d - 21 = 0. Let k(i) = 7*i**3 - i. Let y be k(c). Let z be y\/10 + (-3 - -3). What is the nearest to 0.1 in -3, z, 5\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114043.0207 to the nearest one thousand.\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 98*s**4 + 75838*s**3 + 4727496*s**2 + 66836992*s - 347866624 = 0.\nAnswer: -707, -248\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/7 + 34*z**3\/7 + 284*z**2\/7 - 1480*z\/7 + 1584\/7 = 0. What is z?\nAnswer: -9, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Is 203 a factor of 345303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + -333?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8287275 rounded to 3 decimal places?\nAnswer: 0.829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -2, 4, 10, 16, 22?\n\"Answer: 6*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-10)\/90*1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/43 in -1, 11, 23, 0.4, -163?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 314310*o + 210. Let r be n(9). Round r to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**3 - 4*z**2 + 6*z. Let y(g) = g**3 - g**2. Let t(k) = q(k) - 4*y(k). Find the second derivative of t(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k + 4. Suppose -a + 12 = -5*a. Let i be l(a). Let x = 31 - 33. Is x >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 31, 27, 19, 7, -9, -29?\n\"Answer: -2*v**2 + 6*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -44.2. Let w = k - -47.8. Let g = 41 - w. Which is the closest to 2? (a) g (b) -3\/4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/6 + 7*z**2\/4 + 15*z - 2304. Solve b(j) = 0 for j.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221368 and 25192.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -3*c + 109. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.19828 months in years?\nAnswer: 21.18319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3979, -3238, -2499, -1762, -1027?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 26 = 3*g, 4*g + 2*p + 28 = -2*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8 - 0. Suppose -l = l - h. Which is the nearest to 1? (a) -3 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 64 = 2*g, 26 = 2*p + 2*g. Let t be 8\/p*(1 + 305). Let h = t + -164. Is h greater than or equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539 and 1054900?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -270.1137 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1248468347 to the nearest integer?\nAnswer: 35334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.83*-0.105\nAnswer: 0.08715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q = 40*q + 56. Let b(l) = l**3 + 7*l**2 + 5*l - 6. Let n be b(-5). Suppose -q = 2*d + 5*x, -5*d = x - 2*x - n. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 14*u**5\/15 - 914*u**4\/15 + 14456*u**3\/15 + 118976*u**2\/15 - 3233984*u\/15 + 913952\/15 = 0.\nAnswer: -13, 2\/7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - -38)*(-250)\/170?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 18822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a90 (base 11) to base 15.\nAnswer: 5c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, t: 3, j: 1, k: 1, y: 8, w: 2}. Give prob of sequence kjtt.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728.5477ml to litres.\nAnswer: 0.7285477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - 27*u**2 - 12*u - 11. Let i(s) = -s**3 - 14*s**2 - 6*s - 6. Let j(m) = -2*f(m) + 5*i(m). What are the prime factors of j(17)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r - 126 = -432. Let q(x) = -2*x - 5. Let d be q(-5). Suppose -g + 3*g - d*c = -19, -g + 8 = c. Solve r + 9 = g*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 788425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225 + -129. Let q = z - 145. What is the units digit of (-242)\/(-14) - (-14)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 3*c + 6. Let v be h(-4). Let o = -12 - -15. Suppose 0 = -o*t + 2*t + 4. What is the greatest common divisor of t and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -681?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 - 23.7. Which is the third smallest value? (a) u (b) 2\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 161 + 38*u**2 + 2*u**2 + 253.\nAnswer: 40*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 181*w**2 - 1258*w - 203. Give b(-7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 7:38 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/(-71)*(144\/42)\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4130 and 343?\nAnswer: 202370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-14 - 3)*-1)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79272?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**3\/6 + 5*p**2 - 7*p + 70. Let w(t) = t + 3. Let l be w(-3). What is o(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21168211*p**2 + 7922899*p.\nAnswer: 42336422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -42. Which is the closest to -0.1? (a) g (b) -1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 674294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Let v be (q\/35)\/((-5)\/50). Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60 + -88)*-1*(-6)\/(-8). Solve 0 = -25*c + q*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/7 - -4\/7. Let d = 2.77172 - 3.17172. Which is the nearest to z? (a) 5 (b) -3\/16 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(8\/(-6)). Let t = 3\/182 + 7\/26. What is the nearest to t in q, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 245\/4 + -61. What is the closest to p in -2, 7\/4, 2?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 85 = 5*p, 5*r + 318*p = 157*p + 157*p - 50 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -630*b + 165. Let v(l) = 35*l - 9. Let j(w) = -3*q(w) - 55*v(w). Let s(g) be the first derivative of -8*g**3\/3 + 26. Give j(s(o)).\nAnswer: 280*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from vvcvvcvc.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/4 + (-3)\/(-12). Let g = -4 + b. Let f be (-1 - -6)\/((-1)\/(-2)). Solve -f = 2*c - g*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -261*b**2 - 2*b. Let s(p) = -301718*p**2 - 2313*p. Give 2313*k(x) - 2*s(x).\nAnswer: -257*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 5*a**2 + 5*a + 2. Let t be k(-3). Let r = t - 8. Let b be (5\/3)\/(r\/(-9)). Solve -z + b = 3*d - 5*z, 30 = -d - 5*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 2*h**3\/3 - 21*h**2\/2 + 14*h + 4. Let o be i(10). What is the third smallest value in o, -2\/7, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*((-6)\/(-4) - 14720\/(-15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 106, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 0*p**4 - p**4 + (-2 + 4 - 1)*(p**4 - 4 + 4) + (5*p**2 + 0*p**2 + 8*p**2)*(3 - p**2 - 3) + 0*p**4 - 2*p**4 - p**4.\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -50, -47, -44, -41, -38?\n\"Answer: 3*p - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8*g + 3*g - 5967 = 0, j + 1999 = -5*g. Let w = j + 2951. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 44*l + 13. Suppose 4*i - 35 = -3*i. Suppose 0 = -2*z + 2*g + 12, -g + 5*g - 12 = -i*z. What is the hundreds digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 278*r**4 - 11612*r**3 + 4737229*r**2?\nAnswer: 6672*r - 69672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138151028 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (182 - 85) + (8 - 183)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**3 + 2*c**2 + 2*c + 5. Let k be 7 + ((-28)\/(-10))\/(7\/(-35)). Let i(n) = 12*n**3 - 7*n**2 - 7*n - 16. Give k*w(b) - 2*i(b).\nAnswer: 4*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, -0.2, 0, -3.39 in increasing order.\nAnswer: -3.39, -2, -0.2, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/104 and 41\/2574?\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201\/56 - 45\/14. Let m = -0.5 - -5.5. Let b = -1.4 - -1. What is the biggest value in b, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlu when three letters picked without replacement from {h: 2, u: 1, l: 2, x: 1, t: 2, p: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:42 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.466? (a) 1\/2 (b) -402 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-5814)\/(-238))\/(-57))\/((-20)\/35))\/((-30)\/4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 4. Let c(k) = k + 2. Let v(p) = 4*c(p) + z(p). Let j(x) = -7*x - 5. What is 3*j(l) + 4*v(l)?\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1605*g**6 - 3*g**5 - 2*g**2 + 482.\nAnswer: -192600*g**3 - 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -22. Let x(r) = r**2 + r. Let z(u) = -3*u**2 + 1. Let g(v) = w*x(v) - z(v). Determine g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 + 20*a**2 - 3*a + 15. Let w be g(10). Let n = 64 + w. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1360 - -14945\/11. Is m less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 11 + 4. Let a = p - -15. Solve 3*d = d + a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/12 - u**3\/2 + u**2 - 2*u. Let n(s) = s**2 + 20*s - 42. Suppose 141 = -5*t + 31. Let i be n(t). What is z(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12040101 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -2 + (81 - 21). Suppose -263 - u = -3*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2887.724283 rounded to the nearest ten?\nAnswer: -2890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 29*v**3 + 83*v**3 - 56*v**3 - 1.\nAnswer: -2*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -235 and 9.\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7900, 34291, 83438, 159565, 266896, 409655, 592066?\nAnswer: 818353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 15, 2*q + 0*x = 5*x + 5345. What is q rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -53. Suppose 5*w = -4*c + 703, -5*w + x*c = c - 697. Suppose -3*b = -w - 62. What are the prime factors of b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (5 - -1) + (-16 - (-14 - -13))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10424 - -3561. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 0.00890094?\nAnswer: 0.00890094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 419650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Suppose -z*v + 6 = -6. Find the second derivative of -b**v + 3*b**5 + 3*b - 2*b + b**3 wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/4 - 89827*d**2\/4 + 672422465*d\/4 - 224130841\/4 = 0. Calculate d.\nAnswer: 1\/3, 14971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -136*t**2 - 2*t. Let r(z) = -409*z**2 - 7*z. Calculate -7*p(q) + 2*r(q).\nAnswer: 134*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2084230 by 29.\nAnswer: 71870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/35 - 29\/105. Let d(v) = -8*v + 289. Let g be d(37). What is the nearest to y in -2, g, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180923816 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22951877*o**3 - 45903769*o**3 + 27*o**2 + 22951883*o**3 - 27*o**2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-6)\/170*-17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11623856 and 8717892.\nAnswer: 34871568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 1849.\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176527976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 - 7. Let l(s) = -s**2 - 6*s + 11. Let f be l(-8). Is 2 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4\/9 = 22018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -134413.\nAnswer: -11\/134413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 37*k**3 + 47*k**3 - 610*k**3 - 311*k**3.\nAnswer: -837*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*y + 45 = 359*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5254113480 a multiple of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h + 20*h - 374. Solve -5*o + 2 = -4*v + h, -3*o = 3*v + 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/102)\/(2\/34).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-295)\/(-35)) + 5\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: c4 (base 14) to base 15\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/21)\/((-15)\/(-54))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 29332200 to the nearest 100000.\nAnswer: 29300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c - 3 = 40 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 8*p**2 + 2*p - 2. Let s be x(6). Let q = -28 - s. Suppose r + q = 4*d, 2*d - 33 = -2*r - 11. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 - 111. Suppose 3*u - 11 = -p - 2, -v*p = -2*u - 8. Solve 3*f = u*q - 3*q + 11, -2*f + 10 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26 - -7) + -2)\/((-6)\/(-4)). What is the smallest common multiple of 2 and 8\/j*14\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j + 1035. Let i be 40\/(-25)*j\/2. Suppose s = 5*s - i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 671 and 527467.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 3. Let b(i) = 3*i - 9. Let w be b(7). Suppose -w + 0 = 3*t. Is o(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7)\/(k\/k**5))**14)**36 assuming k is positive.\nAnswer: k**(-1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 5. Is s\/(12\/69)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 312\/504 - (2\/7 + 0). Let n be 4 + 1*184\/(-48). What is the biggest value in -11, l, n, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.9. Let g = 153 + 25. Let j = g - 177.9. What is the nearest to j in w, 2, 7\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 749604154*y**4 - y**2 - 21941529*y.\nAnswer: 8995249848*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dau when three letters picked without replacement from daadauaaud?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a factor of 596797056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/20*3\/(-12). Which is the third smallest value? (a) 3\/11 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.46 - -255.06. Let n = 285 - r. Let w = -41.4000169 + n. What is w rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x - 488*x + 21*x = -170*x + 43099 for x.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1484 - 1479. What is the third biggest value in 0.2, 4, d, 1\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022486 (base 9) to base 5.\nAnswer: -233442424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 6 - 2*u)*(1 - 2 + 2) to the form f + h*u and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 + 1 = -d, 5*r = 4*d - 6. Solve r*a + a = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 + 8) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 21. Let w be l(3). Suppose 31*d = w*d + 8. Let q(v) = -v**2 - 6*v + 1. What is the remainder when q(-5) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1434 and 1048732.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = p + 7*f, -3*p + 2*f + 23 = 0. Let a be (-4)\/(-6) - (-3)\/9. Let h = a - -5. Solve 3*u + 2*k - 17 = h*k, 5*u = -5*k + p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1097 - 77 = -3*s. Let d(v) = -v**2 + v + 1. Let h be d(3). What is the common denominator of 17\/4 and -1 - (s\/8)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 115 + 8404 = 0. Let h = m - 902. Calculate the remainder when 282 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15524 minus 18.57?\nAnswer: -18.72524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + a**3 + 0*a**3 + (1 + 2 - 4)*(4*a**3 - a**3 - 2*a**3) + 38 + 20 - 60 + 3733*a**3 + a**3 - 3*a**3 + a**3.\nAnswer: 3729*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b + -6295a?\nAnswer: -6291e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or 424.817?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 646305, 2585208, 5816715, 10340826?\nAnswer: 16157541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 15) + 0 + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87250 and 2500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 - 2 + 2*b - 5*b**2 + 7*b**2 - 2*b**4 + b to q*b + m*b**3 + w*b**4 + i*b**2 + c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 11*o**5\/120 + 35*o**4\/24 - 7*o**3 - 18. Let y(a) be the third derivative of z(a). List the prime factors of y(8).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3841537 millennia?\nAnswer: 4609.8444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-360))\/((-2)\/6)*8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -379, -1478, -3311, -5884, -9203?\n\"Answer: -l**3 - 361*l**2 - 9*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 24. Solve -y + 2 = -h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -93036, -93038, -93040, -93042?\n\"Answer: -2*m - 93034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bob when three letters picked without replacement from obbbbbobbbbbbbbbbbbb?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**3 + 9*n + 31*n**3 - 67*n**3 - 162*n**2.\nAnswer: 3*n**3 - 162*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*c**2 - 69*c**2 - 62*c**2 - 6 + 241*c**2 to the form i*c**2 + p + r*c and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = -c, -2*k - 5*c = -7*k + 20. Solve 5*p = -2*x + 12, k*p + 4*x + 20 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 4*i - i**2 + 6*i**3 + 2 - 5*i**3 - 2*i**3. Let a be m(-2). Put -2, a, -1, -3 in ascending order.\nAnswer: -3, -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + -11 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 373 - -0.22\nAnswer: 373.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-3*sqrt(8)) + (sqrt(560)*1)\/sqrt(5) - ((sqrt(448) + sqrt(448)*-1 - (3*sqrt(7) - sqrt(7))**2*6) + 5).\nAnswer: 23*sqrt(7)\/6 + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 96 - 600 = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euok when four letters picked without replacement from ukkxkuukxexkeuukekok.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 15*r**5 + 624*r**4 - 2367*r**3 - 3084*r**2 + 6972*r - 2160 = 0?\nAnswer: -45, -2, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwcwc. What is prob of picking 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 11. Calculate the lowest common multiple of 8 and h(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-12)*3)\/((-5)\/(-20)). Sort -1, i, 11.\nAnswer: i, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 53501 + 0*y**2 + 498*y - 1395 + 9895.\nAnswer: (y + 249)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o - 26*o + 11*o + 1599 = -84 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*(sqrt(128) + 2) + -6*1*sqrt(128)))**2 + -4.\nAnswer: -256*sqrt(2) + 572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7161 is divided by 3534.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -194 - -194.3. Which is bigger: k or -1.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {t: 1, q: 3, p: 1, o: 5, d: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (112 - 158)*(-2)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755 + 12*b**2 + 755 + 3*b + 9*b**2 - 17*b**2.\nAnswer: 4*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 149*j + 149*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -37*v + 600. Let y be p(16). Solve 2*d - 3*u = -5 + 7, 0 = -2*u - y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 h when four letters picked without replacement from {h: 3, b: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5 + 4*a - 2 + 5*a**2 - 3. Let n(v) = 14*v**2 + 11*v. Determine 8*h(z) - 3*n(z).\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458*z**5 + 8*z**4 + 3471*z**2 wrt z?\nAnswer: 27480*z**2 + 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 21 = 3. Suppose 0 = -p*h + 2*h + 12. What is the third derivative of 2*k**h - k**3 - 2*k**3 + k**2 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 266.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -213*w + 1256. Put -52, w, 7 in ascending order.\nAnswer: -52, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*u - 20. What is the remainder when 47 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - 2*t**3 + t**3 + (-5*t**2 + 4*t**2 + 0*t**2)*((1 + 2 + 0)*(-4*t + 0*t + 2*t) + (3 - 1 - 4)*(-2*t + 4*t - t) - t - 3*t + 11*t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 5, n: 1}. Give prob of sequence ffw.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -19*l**3 + 3*l**2 - 2. Let t(m) = -2*m**3 - 1. Determine -a(f) + 2*t(f).\nAnswer: 15*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 42. Let h = n - 18.9. Sort 8, h, 3.\nAnswer: h, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -172857, -345436, -518015, -690594, -863173, -1035752?\n\"Answer: -172579*d - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14947*l. Let c(y) = 4*y**2. Give c(x(u)).\nAnswer: 893651236*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 2811556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 232252 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154790 is divided by 22112.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 23 = -70. Let c = a - 28. Suppose -c*x - 3*x + 78 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/8 + 14337*p\/4 - 14335 = 0. Calculate p.\nAnswer: 4, 28670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3, 1, 0.3, -2, -13620?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44274973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/135)\/((-153)\/(-27)). Sort y, 2, -3 in decreasing order.\nAnswer: 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, i: 1, a: 1}. Give prob of picking 1 a and 3 e.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8457*j**3 - 5*j**2 - 4*j + 1. Is l(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:02 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4 + 22\/6). Suppose 0 = t*p + 3, 4*p + 0*p = 2*d - 12. Let i(u) be the second derivative of -u**4\/6 + 2*u**3\/3 + u**2\/2 - 17*u. Calculate i(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 63. Let c = -13 + y. Solve 0 = -c*v + 2*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464 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 15688854 and 13266.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*v + 5*n - 115 = 53*v, 5*v + 2*n - 73 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*t**3 + 5666*t**2\/3 - 420*t = 0. Calculate t.\nAnswer: -315, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -802*m**3 - 1779*m wrt m?\nAnswer: -4812*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 16\/12 - 28)*171\/(-38). Is n <= 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - 12) - -3 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -105.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/11 - 68*b\/11 + 6 = 0. What is b?\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*u - 43, 3*q + 5*u + 88 = 30 + 168 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 7*z**2 - 6*z + 7. Let p = 7 - 1. Suppose -5*x - p = 24. Determine b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.4, -5, 15, 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2654751.3 months?\nAnswer: 221229.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38846415 to the power of 1\/2, to the nearest integer?\nAnswer: 6233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 22\/5 (c) -5.1 (d) 5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 145625, 291107, 436299, 581057, 725237, 868695?\n\"Answer: -24*t**3 - t**2 + 145653*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*s + 10. Let i be (-212)\/(-18) - s\/45. What is the highest common factor of 8 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 124?\nAnswer: 17\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -1495\/113?\nAnswer: -1495\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24903315 divided by -261.\nAnswer: 95415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 22496*g**4 - 126787168*g**3 + 3033180672*g**2 - 18179668224*g.\nAnswer: -g*(g - 11236)**2*(g - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -15. Let h(d) = -d**3 - 9*d**2 - 9*d - 12. Let g be h(-8). Let z = -20 + 15. Put 0.5, n, z, g in descending order.\nAnswer: n, 0.5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 143*k + 27767. What is m(-194)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 4. Let r be s(6). Let g be -2*((-10)\/4 + r). Let p be 44 + g - 0\/(-2). What is the highest common divisor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 10 - 17*y)*(1 - 2 - 2) + (0 + 1 + 0)*(-3 + 3 - 3*y) to a*y + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, g: 6}. What is prob of sequence gggy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -15. Let u(x) be the second derivative of -x**5\/10 + x**4\/3 + x**3 + 5*x**2\/2 + 7*x. Is u(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 714816169 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 229?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55655, 111305, 166955?\nAnswer: 222605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*v**3 - 83*v**3 + 4 - 2*v - 2 to a + h*v**3 + b*v + c*v**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 512 = -40*l. Suppose 4*b - 58 = -b - 3*m, 5*b = -4*m + 59. Let y = b - -5. What is the highest common divisor of y and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 17 + 10*x + (-4 + 5 - 4)*(10*x + x - 3*x) in the form p + t*x and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*l*s**2 - 73*c*l - 9*c*s + 1490255*l*s**2 - 8*l*s - 7*s wrt s?\nAnswer: 4*c*l + 2980510*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6878286, 6878285, 6878284, 6878283, 6878282, 6878281?\nAnswer: 6878280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 714 and 3570?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (1 + -19) - (-11 - -8 - 58)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*s**2 + 1593*s - 1888*s - s**3 - 2621*s.\nAnswer: -s*(s + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666226969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**3 - 2*p - 1. Let m be h(-1). Let x = -1 - m. Let c(v) = v - 1. Let q be c(x). Solve 6 = q*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -40*g**2 - 229*g - 3. Calculate the remainder when k(-5) is divided by 96.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 10486.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h - 32. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7407 or -7405?\nAnswer: -7405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 88685.27um?\nAnswer: 88685270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = -8. Let l be ((-3)\/k)\/((-6)\/348). Let o = -60 + l. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1860 - 1277. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8683956 - -12278956. Suppose 5*f + u = 10*f. Round f to the nearest 10000.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-13)\/(104\/3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 169196\nAnswer: -33839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aa54 (base 14) in base 4?\nAnswer: -203111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 + 142. Suppose 3*f - f - 23 = 5*d, -2*f - 4*d = 22. Let i = 0.5276 - 0.1276. Which is the third smallest value? (a) i (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -1 - (1 - 1). Let z be (-4)\/(-16) - 28\/(-16). Solve z*k + h = 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 - (-6 - -7). Let l(c) = -c + 1. Is l(a) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 10*f**3\/3 + 5*f**2\/2 + 2*f + 9. What is the hundreds digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 14*o**2 - 7*o + 5. What is the tens digit of t(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27996 + -12732. Does 36 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*m + 981 = 192*m - 832 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q + 3. Let t be k(-2). What is the units digit of (-23)\/(t\/6*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-87)\/(-21) - 5\/35. Solve -c = 1 + a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/96)\/((-3)\/(-120)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 111. Suppose 50 + 658 = -3*c. Let i be 6\/45 - c\/30. Calculate the greatest common divisor of i and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 24. Suppose 2 = 2*w - l - 5, -5*l - 3 = -2*w. Let q be z\/(-12) - w\/6. Which is greater: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i**3 + 17*i**2 + 7*i + 2. What is c(4)?\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 3*v - 5*v + 4*v - 1. Let a be h(-3). Suppose -a*q + l = -11, -4*l - 3 = 1. Solve 0 = -2*r - q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812868 divided by 19354?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/33)*g*g)\/g)**(19\/2)\/(g\/(g*g\/((g\/g**23*g)\/g*g)*g)*(g\/(g**(-9\/4)*g))\/g) assuming g is positive.\nAnswer: g**(4049\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37 + 10*k - 43 - 95 + 47*k wrt k?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5572*h**3 + 4*h**2 - 36*h - 20. Let c be s(5). What is c rounded to the nearest 10000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.03, 2, -0.1, 136744 in descending order.\nAnswer: 136744, 2, -0.03, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4*956\/192 - 10 and -63\/242.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230 - 227. Let n be 72\/21 - 4\/(-7). Which is the second biggest value? (a) j (b) -3 (c) 4\/5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1740 - 7?\nAnswer: -1747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -25.45 and 0.081.\nAnswer: -25.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 1 + 16249*z**2 - 8*z - 16249*z**2 in the form u*z**2 + r + t*z**3 + f*z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1244290 divided by 124429\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 4, -8 = -4*v + 4*m. Suppose -5*a + v*p = -76 - 31, 3*a - 3*p = 63. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168181008, 168181008, 168181016, 168181038, 168181080, 168181148?\nAnswer: 168181248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70459896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(36\/15)*9. Let y be (-6)\/x + (-111)\/(-15). Let h = 12 + -5. What is the greatest common divisor of h and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*n**2*w + 184*n*w + 284*w + 76 wrt n.\nAnswer: -104*n*w + 184*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8 minus 17911.0606?\nAnswer: -17906.2606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 484550335*s. Let g(j) = 3*j. Calculate g(z(q)).\nAnswer: 1453651005*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(162) + (sqrt(162) - (sqrt(162) + 1 + -4)))*5)**2.\nAnswer: 12150*sqrt(2) + 38475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)\/(b**(-28)*b*b))**39 assuming b is positive.\nAnswer: b**507","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19\/40 + 3\/40. Let z = -552 - -553. What is the closest to 1 in 4\/5, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45855716?\nAnswer: 2, 43, 266603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54212236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1918 divide 512290128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(200)*3 - sqrt(50) - 5*sqrt(50)*-2)\/(2*sqrt(640) - 1*(sqrt(10) - sqrt(90))) + 4).\nAnswer: -12 - 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169869 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + -3. Let n be (-26)\/221 + 116\/(-170). Which is the closest to -0.1? (a) o (b) n (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922851 is divided by 2805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let c(p) be the second derivative of 0*p**o - 2\/3*p**3 + 0 + 2*p. Let d(u) = 2*u**2. Give d(c(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 13*o - 18 = 0. Let n(w) = 2*w + 13. Let l be n(o). Is (l - 1062)\/(-1*1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -5 in decreasing order.\nAnswer: -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/89 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/899745 and 83\/790685.\nAnswer: 26092605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:49 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52344 (base 6) to base 2.\nAnswer: -1101110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = -7*t. Sort 4, 3, t in ascending order.\nAnswer: 3, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1442378574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14486 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1357 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m + 3. Let n(l) = -15*l + 6. Let r(a) = 13*b(a) - 6*n(a). Let t(g) = -g - 1. Let q(x) = -r(x) - 3*t(x). Let s(j) = j. Determine s(q(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*n + 6*c - 2*c, -n - 4*c - 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2019 + 1357 = -8*t. Let u = t - -436. Suppose 1 = 5*d - 3*b, -5*d + 2*b = 3 - 2. Sort d, u, 4 in decreasing order.\nAnswer: u, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + p = -19, 2*p + 20 = 2*t - 0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 22*s + 170. What is q(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 78\/(-36)*-3 - 3\/(-2). Solve -4 - m = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*r - 10 = 0, 0*r - 9 = -5*l + r. Let c(f) = 4*f**2 + 0*f - 3*f**l + 0*f. Let s(m) = 4*m + 7*m - 2*m + 3*m. Calculate c(s(n)).\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -27. Let p be (u*-1)\/(2 - 3). Suppose -4*y + y = 5*k + 12, 0 = 5*k - 4*y - p. Solve k = 3*q - 4*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 211 (b) -4\/7 (c) 4 (d) -1.5 (e) -5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**2 - 1397*j + 58362. Give i(-269).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 3. Suppose c = -4*c + 55. Suppose -5*o + 13 = -2*p - c, 3*o - 24 = -2*p. Let d(s) = -4*s - 4. What is o*k(g) + 5*d(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 541758557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122113220 (base 4) to base 8.\nAnswer: 322750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 - 14*u - 120. Let q be g(-9). Calculate the highest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -68 - (0 - (2 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:47 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4\/9, -4, 2\/7, -5, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 43 = -14*c + 6*g, -2*c = -3*g - 1. Solve 3*m - c*y = -20, 0*m - 8 = -m - 2*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -9*w + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94b7 (base 15) to base 11.\nAnswer: 21699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.086 and -0.3.\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -3*b**7\/35 - b**4\/3 + 8*b**2. What is the second derivative of u(d) wrt d?\nAnswer: -216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2240 < -6721\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 59 + 2*q - 8*q + 0*q. Let r be g(17). Suppose r*n - 345 = 5*n. List the prime factors of n.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - -1*sqrt(66)) + sqrt(66))*4*4)\/(sqrt(72)\/(sqrt(48)\/sqrt(4)) - -4*(sqrt(6) - (sqrt(6) - sqrt(96)))) + -3.\nAnswer: -3 + 48*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {p: 1, f: 2, r: 2, x: 1, e: 2, m: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132302 + -105?\nAnswer: 132153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k**2 - 2*k**3 + 605*k - 604*k + 3*k**2 in the form y + h*k**3 + z*k**2 + a*k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -877 - -2277?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 11*h - 5*h = -86*h. Solve h = -33*j - 2*j - 35 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {d: 3, n: 5, z: 1}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - i = 2*i, 1 = 2*z + 3*i. Let a(o) = 4*o**2. Let d be a(z). Suppose 11 = d*u - 3*l, 5*u - l = -0 + 11. Solve 0*m - m + u = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 754.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**5 + 656*z**4 + 59*z**3 - 6*z - 515882?\nAnswer: 60*z**3 + 7872*z**2 + 354*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 860 (b) -1\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by 29.\nAnswer: 131\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + k - 7 = -2*c, -c = 3*k + 11. Suppose 3*v = y + 4 - 0, -2*y + 22 = 4*v. Calculate the lowest common multiple of c and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + 124 - 29 - 2*t)*(-2*t**2 + 2*t**2 - 3*t**2) to the form b*t**2 + g*t + j + d*t**3 and give b.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (32\/72)\/((-16)\/24) + (-2787)\/(-9) is divided by 122?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415850.3 rounded to the nearest 1000?\nAnswer: -416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.2893 centuries in years?\nAnswer: 26228.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7536861 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 10*k**2 - 5*k + 8. Suppose 0 = -5*f - 4*q - 8, 3*f - q + 0 = 2. Suppose 2*s - 12 = -f*v - 5*v, 4*s - 2*v - 48 = 0. Is 16 a factor of h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14721 (base 8) to base 12.\nAnswer: 39a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110310*y**3 + y**2 - 852391*y?\nAnswer: -661860*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*m + 3*a - 6576, 0 = -4*m - a + 5253. Let p = 2965 - m. Is p 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 {p: 1, d: 4, n: 1, s: 1, l: 1}. What is prob of picking 1 p and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -432070.03 to the nearest 100.\nAnswer: -432100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.9009456ns to days.\nAnswer: 0.0000000000001493165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/8)\/(27\/25380*-50)\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in millimeters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1, 4011, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5451795734\/45 - -121156850. Let b = y - 5835. What is the common denominator of b and 46\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dduyuryuudb. Give prob of sequence ddy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 23*k - 11. Let q be o(-12). Let w = -1883\/13 + q. Let l = 0 - 0.3. What is the nearest to 1\/2 in 2\/5, w, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 15*s**3 + 2*s**2 - 2*s - 3. Is 11 a factor of m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*j + 8, 3*u = 3*j - 12. Suppose -8*h + 64 = -u*h. What is the lowest common multiple of 12 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26514248*q**2 - 1982862*q + 2 wrt q?\nAnswer: 53028496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44576 and 7761.\nAnswer: 1738464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**2 + 39*p + 10. What is v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:30 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 9. Let w be v(-10). Let j(k) = 10*k + 7. Let p be j(10). Let m = w + p. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 5*r**2 - 4*r + 8. Let a be k(3). Suppose 44 - 114 = -a*g. What is the smallest common multiple of g and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3876 + 4655. Calculate the least common multiple of p and 41.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)\/k)**(-18\/11))**(-45) assuming k is positive.\nAnswer: k**(-1080\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 4*k = -8*n - 15, 3*k - 25 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -19*v + 1. Let a(n) = 2*n - 1. Let l(h) = 3*a(h) + r(h). Let k(s) = -2*s. Give l(k(z)).\nAnswer: 26*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 7*i**2 + 7*i - 25. What is p(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 20*q - 106. Let l = -74 - q. Let z = 102 - l. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -5*z - 8. Suppose -z*g + 1710 - 374 = 0. Suppose -g = -2*a + 4*h, -h - 3 - 2 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 336447*j*v**2 + 80*j + 557159056*v**2 with respect to j.\nAnswer: 336447*v**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 5:00 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Factor a*c**3 - 12*c - 3 - 9 + 4.\nAnswer: 4*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3*(-6)\/9). Suppose 3*n + n = o. What is the remainder when n + 22 - (5 - 6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 5 + -1*sqrt(7)*2)*1*2.\nAnswer: -2*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*(6 + -6) - -2. Solve p*h = 4 - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1123 - -30293?\nAnswer: 313b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 308 + -306. Suppose v + 1 = l*p, 0 = -5*v + 15. What is the highest common divisor of p and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 2 (b) 3\/2 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161 (base 8) to base 15.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 17*u**6\/120 - 3*u**5\/40 - 7*u**4\/24 + 5*u**3\/3 - 32. Let d(z) be the third derivative of j(z). Is d(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*a + 25, 5*a + 20 = -3*d + 49. Let g = d + 17. Suppose 2*q = q - 3*s + g, -22 = -2*q + 3*s. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - -1)*(4 + 25\/(-18)) and -115\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2890208.\nAnswer: 2, 181, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1829 divide 165496579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 8950d8?\nAnswer: 8950d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 1, j: 3, k: 1, r: 4}. Give prob of picking 1 n and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:18 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*l**3 - 412*l - 406*l - 240*l + 1058*l.\nAnswer: 175*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -24*i**5 - 164*i**4 + 5148*i**3 - 21776*i**2 + 32496*i - 15680 = 0.\nAnswer: -20, 1, 2, 49\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*i + 3771 = 106*i - 3*w, 2*i = 3*w + 1521. What is the highest common factor of 3150 and i?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62521 divided by -1335.\nAnswer: 62521\/1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p - 26. Let v = 38 + p. Suppose -3*j + v = 0, 2*r + 0*j = -5*j + 64. Let b(x) = -12*x - 12. Let t(u) = -u - 1. Determine r*t(h) - 2*b(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-21) + 40\/(-14). Let b = 3 + -1. Suppose -5 = 4*h - 1. Sort b, h, f in increasing order.\nAnswer: f, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 64*f + 2. Let m(d) = 3*d**2 + 136*d + 4. Determine -4*m(k) + 9*w(k).\nAnswer: -3*k**2 + 32*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - 98. Suppose 2 = q - 6*q - 2*w, -5*w = -q + t. Suppose q = 5*m + 2 - 42. Sort -4, -1, m in ascending order.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**3 + 9680*l**2 - 34*l**3 - 9680*l**2.\nAnswer: -47*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 640240 and 3457296.\nAnswer: 17286480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 23*i**3 - 3*i**2 + 3*i + 3. Let c = 208 - 205. What is the hundreds digit of u(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/3 - 1306*k**3 + 15566*k**2 + 58462*k\/3 - 33748 = 0.\nAnswer: -2, 1, 13, 1947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7327074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 10202?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31432369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403279 is divided by 1323?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/60 - h**4\/24 - 3*h**2 - 23. Let c(q) = -2*q**2 + 4*q - 1. Let p = 132 - 138. Determine p*j(a) - 2*c(a).\nAnswer: -2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/49800 and -26\/3735.\nAnswer: 149400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:34 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, i: 1, l: 1, c: 1}. What is prob of picking 1 t and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 5:06 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3833756 is divided by 983?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 15 = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 55*x - 63*x. Calculate the smallest common multiple of 9 + (6\/x - 3\/12) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -227\/17 not equal to 20914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2. Let p(z) = 5*z. Calculate v(p(t)).\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34178 - 5.\nAnswer: 34173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(sqrt(832) + -5 + 1 + sqrt(832) + sqrt(832) + sqrt(832) + sqrt(832) - ((-1*sqrt(78))\/sqrt(6) + sqrt(208)*-2)))**2*4.\nAnswer: -8232*sqrt(13) + 1123864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(112) + 1)**2 - (sqrt(112) + sqrt(112) + 1 + 2)) + ((-1 + sqrt(112) + 2*sqrt(112) + 1)*-2)**2 + -1.\nAnswer: 16*sqrt(7) + 4257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0122 + 0.141.\nAnswer: 0.1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9.99 * -1\nAnswer: -9.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -1 + 7. Suppose -9 = -y*b + 3. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -0.051, -76, 3, -1\/5?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -4*z**3\/3 + 1076*z**2 - 2148*z + 11720. Suppose a(q) = 0. What is q?\nAnswer: 1, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:32 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -18215340 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/11 at least -436344\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Which is the smallest value? (a) -5 (b) v (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 530 = -p - 2*t, 0 = -p - 2*t - 106. Let d = p - -209. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 4. Let y(d) = -2*d + 1. Let i be y(4). Is a(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (0 + sqrt(1331))**2)*-6.\nAnswer: -7986 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(50)*3)\/sqrt(10) + sqrt(5))*-4)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2043450 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + sqrt(700)*-3)*3*1)**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + d**4 - d - 12*d**3 - 31*d**2 - 1 + 33*d**2 to the form o*d + y*d**2 + z*d**4 + m*d**3 + n and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12898 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = -5*y - 14*b - 217, -3*y = -4*b - 30 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + 10201?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 7*k - 2. Suppose -3*f + 27 = u + 3*u, -5*u = -3*f - 27. Suppose -d = p + 4, 3*d - u + 23 = 2*p. What is x(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105394 - -324773. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*w + 156, 3*w - 477 = -4*j + 7*j. Sort 4, j, 3.\nAnswer: j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12988589 equal to 12988587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/31 - 535\/124. Calculate the common denominator of -43\/28 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8153023 rounded to two decimal places?\nAnswer: 3.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/(4*8\/(-288)). Solve f - u - 1 = -v, -3*v - 23 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9))**(6\/25)\/(r*r**(3\/5))**20)**(-3) assuming r is positive.\nAnswer: r**(2396\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1472, 4, -1, 3, -13 in ascending order.\nAnswer: -13, -1, 3, 4, 1472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 8)\/(-4 - -7 - 2). Let a(l) = -l + 3. Let k be (-2)\/(-8) - 7\/(-4). Let g(b) = -10 - k*b + 3 + 4*b. Give h*g(v) + 7*a(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 3 - 3)*(-2 - 3 + 3)*(-2 - 3 + 1)*(-2*w + 4*w - w).\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - 31?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784*g - 521*g + 30744 = -179*g + 344*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + -31)*1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 20baa?\nAnswer: 20ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 72\/(15 - 3). Solve -4*y + 5*t = 9*t + 28, -26 = d*y + 2*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78603 and 1806.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038810839.\nAnswer: 3, 13, 1549, 33749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3427 and 31142.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -25*u**3 - 5*u**2\/2 + 2927. Let s(c) = 113*c**2 + 7*c. Give -7*r(g) - 5*s(g).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14\/17 - 8\/51. Is -0.1 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -597, -2390, -5381, -9570, -14957?\nAnswer: -21542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170*p = -1168*p - 6. Let b(x) be the second derivative of 1\/150*x**6 + 0*x**4 + 2*x + 1\/210*x**7 - 1\/50*x**5 + 0 + 0*x**2 + 0*x**p. Factor b(f).\nAnswer: f**3*(f - 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222073 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 613*s**2 + 242*s + 19923. Calculate j(307).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - 42*s - 17. Let g be k(11). Sort -4, 53, g, 4 in ascending order.\nAnswer: -4, 4, g, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8453 - 8432 - ((3 - 0) + -48).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a = 10*a + 128. Let v = 0.1 - 0.1. Let r = v + 0.3. Sort r, 0, a in increasing order.\nAnswer: 0, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -412, -619?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 55. Give r(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 413437 by -3.\nAnswer: -413437\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 199 + -142. Is (-6)\/(-57) - (-13617)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*y + 287*y - 924*y.\nAnswer: -478*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*d**2 - 4*d + 26*d**2 + 35*d**2 + 41*d - 96*d**2.\nAnswer: d**2 + 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + (-13 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 708470.9083 and 3.72.\nAnswer: 708474.6283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-45))\/(1\/24). Does 43 divide 738 - 8\/v*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*t**3 - 717*t**3 + 342*t**3.\nAnswer: -31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Suppose w + 20 = 5*p, -4*p + b + 1 = -3*w. Put -3, p, -0.1 in descending order.\nAnswer: p, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182977.\nAnswer: 67, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 5, 10\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1535.6 and -3.\nAnswer: -4606.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 27 - (61 + -42) - (1 + 12)) + -15\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28432*i**3*n + 1242*i**3 - 4*i wrt n?\nAnswer: 28432*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70094?\nAnswer: 2, 101, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4776101613 - -2?\nAnswer: 4776101615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) + 8\/(-18). Let k be -23*(-1)\/(-4) - -5. What is the smallest value in s, k, -3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by -25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*j + 9456 = 221*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -11 - (18 - (17 - 6 - -8) - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 4*m - 5. Let h be d(-3). Let b(v) = -4 - h*v + 13 + 6*v + 14*v**2. Is b(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, r: 3}. Give prob of picking 1 r and 1 m.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**4 + 1178*t**3 + 3331*t**2 - 180*t - 969 wrt t.\nAnswer: -24*t**2 + 7068*t + 6662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 10*y + 2*y**2 - 2*y**3 - 3 + 0 + 2 as v*y**2 + k + p*y + t*y**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35931 + 31482. What is the ten thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + l - 20 = -0*x, 4*l + 20 = 4*x. Suppose 2*b - 17 = j, x*b + j - 40 = 13. Is (b\/(-4) - -2)*-36 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u - 11. Let n(z) = -11*z - 18. Let g(c) = 8*i(c) - 5*n(c). Let a(p) = 1. Determine 4*a(r) - 3*g(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148.8 + -131.8. Which is the third smallest value? (a) g (b) 3 (c) 0.5 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 9948*t - 9951*t + 2*z, 38 = -2*t + 3*z for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Let l(g) = -56*g - 60*g + 116*g + 21*g**2. Determine l(c(m)).\nAnswer: 84*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(2299))**2 + 2 + sqrt(19) + 0).\nAnswer: 2*sqrt(19) + 41386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/303 or 55?\nAnswer: -4\/303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 - 1)*(-4*q**2 + 0*q**2 + 3*q**2)*(1 - 2 + 9 + (-3 + 18 + 9)*(0 + 3 - 2) + 4 - 6 + 6).\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l)**3\/(l*l**(1\/2)\/l)**10 assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117056*i**4 - 1735045*i**2 wrt i.\nAnswer: -2809344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310491711 and 1026.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 232*h**2 - 2*h - 617*h**2 + 232*h**2 - h**2 + 5*h**2 - h**2 + (-h**2 + 2*h**2 + 0*h**2)*(3 + 2 - 3) + h - h - 3*h**2.\nAnswer: -151*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.6 + -29. Which is the fourth smallest value? (a) h (b) 0 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*y**2 + 2063 - 106*y + 106*y.\nAnswer: -248*y**2 + 2063","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -37, -597 in ascending order.\nAnswer: -597, -37, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 12*c**2 - c + 17. Let q be h(12). Suppose -2*y - 18 = -s, -4*s - q*y = -2 - 5. What is the lowest common multiple of s and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 5*p**2 - 2*p - 20. Let s be y(6). Suppose 4*o = 2*f + 7*o - 13, -5*f - s*o = -36. Solve f = -3*b + 5*a, -b + 20 = 2*b + 2*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 87*z - 5940. Give c(69).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-6) + 14\/24. Let b = -7903 - -7909. Put b, r, 0.5, 0.1 in descending order.\nAnswer: b, r, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 22*j = -90. Suppose j*a - 13*a - 1025 = 0. Let h = a + -139. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -3*l**5\/20 + l**3\/3 - 3*l**2\/2 - 4*l. Let q(d) = 1. Let z(b) = -k(b) - 4*q(b). Determine z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*i + 1556*i - 110946 = -217*i - 159*i for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2009, 3579, 5145, 6707, 8265, 9819?\nAnswer: 11369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p = 33 + 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 411*k + 4506. Give n(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 604 = -1020. Suppose -31*c - 11 = -w. Solve c*a + 2 = 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15\/22, -0.2483, 42, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*n + 2*g + g, -20 = -3*n - 4*g. Suppose n = 2*y + y - 192. What is the common denominator of -4*6\/y*10 and -85\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l**2 - 33. Let u be m(0). Let k be ((-6)\/4)\/(u\/44). Solve -2*w + 5 = -y, -y + k*w = -2*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 2*l - 1. Let m be t(1). Solve 0 = m*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*n + 84, 75*n - 74*n - 104 = -3*t. What is the lowest common multiple of t and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112 - 12200?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -7. Let j(r) = -2*r + 703534 - 703534. Determine j(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11658292, 23316580, 34974868, 46633156?\nAnswer: 58291444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273 - 11*n + 7474*n**2 + 16*n - 7475*n**2.\nAnswer: -n**2 + 5*n + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-11\/5))\/v)**11\/(v**11)**(20\/9))**(3\/7) assuming v is positive.\nAnswer: v**(-11\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 6*b**2 + 4*b + 7. Let j be l(5). Determine o so that -3*o**j + 2*o + 5 - 5 + o**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*sqrt(187) + sqrt(187) + sqrt(187) - sqrt(187)) + 1*sqrt(187)*-5)\/((-3*(-2*sqrt(132) - sqrt(132)))\/(sqrt(120)\/sqrt(160))).\nAnswer: -23*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-2)\/12). Suppose 0 = s*j + 5*v - 14, -4*v + 24 = 3*j - v. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1689127 or 3?\nAnswer: -0.1689127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 99*a - 309. Calculate z(102).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31488?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -592 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/3 in -0.7, -2\/1075, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91554069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17220 (base 9) to base 3\nAnswer: 121020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4747)\/606)\/(-47)*-1*1*1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 11, b: 3}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6447, 0.57, -0.07 in descending order.\nAnswer: 0.57, -0.07, -6447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003146467 rounded to seven dps?\nAnswer: 0.0000315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(-3 + 2 + 0). Let a(s) = -11235*s**2 - 4*s - 1. Let t be a(y). What is t rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16 - 64 = 0. Let o = 123 - y. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8460397 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53314, 53328, 53364, 53428, 53526, 53664, 53848, 54084?\nAnswer: 54378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*2*sqrt(117) - sqrt(117)))\/((2*sqrt(99))\/sqrt(11)*3)*-4.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 74 (b) -20\/113 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 20*p - 949. Is h(-41) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 42 = 22*q - 25*q, 32 = -2*s + 4*q. Let p = -0.7 - 45.3. Which is the smallest value? (a) -1 (b) p (c) s (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (954\/(-1219))\/((-66)\/2277)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447418607.\nAnswer: 3, 17, 131, 216647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - -25. Calculate the highest common divisor of 66 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 8*t - 60*t = -4080. Solve -4*x = -t*k + 61*k, -x = 4*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15141 - -41?\nAnswer: 15222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208564 divided by 14?\nAnswer: -86326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37021759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**6\/30 - r**5\/5 - 5*r**4\/12 - r**3\/3 + 81*r. Suppose m(b) = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191098 to the power of 1\/2, to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 163*g**2\/2 - 626*g - 930.\nAnswer: -(g + 2)*(g + 6)*(g + 155)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 2, e: 1}. What is prob of sequence ecec?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 48. Suppose -5*a + r = -a. Suppose 5*o - 4*o - a = -5*d, 3*o + 2*d = 101. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3206*z**2 - 41675*z + 35. Give b(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266273*t**2 + 133301*t**2 + 132972*t**2 - 20*t**3.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1784 = -704. Let y = 285 - v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = 0, j - 2*s + 1 = 4*j. What is the lowest common multiple of 4 + (0 + j)\/(3 + -2) and (-7)\/(-2) + (-6)\/12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 44, 0.1, -4, 7\/229, -0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnnm when four letters picked without replacement from lnlkekmhnnkn.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/106648 and 57\/1533065.\nAnswer: 12264520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324670070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4.9 (b) -2 (c) 2\/13 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -19\/7 and 411 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*3*(-752)\/(-188)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 88. Suppose x = -2*b - 4*b + 61536. Let y = b + -4059. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h - 1. Let k(z) = -19*z + 13. Let v(t) = -51*t + 36. Let q(n) = 8*k(n) - 3*v(n). Determine i(q(r)).\nAnswer: 8*r - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1757, 14259, 48199, 114299, 223281?\n\"Answer: 1787*y**3 - 3*y**2 + 2*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -15*y. Let n(f) = 508 + 2*f**2 - 336 - 244. What is b(n(d))?\nAnswer: -30*d**2 + 1080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*k**2*s**4 - 17*k**2 - 6*k*s - 3*k - 284*s**4 - s wrt s?\nAnswer: 480*k**2*s**2 - 3408*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10708, -10342, -9976, -9610?\n\"Answer: 366*s - 11074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 5 (c) 5817\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, r: 17}. Give prob of picking 2 r and 2 b.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let s(y) = -y**2 - 1. Let m(b) = 5*b**2 + 4*b + 6. Let i(n) = m(n) + 6*s(n). Let t be i(3). Solve u = -4*x + 3*x - 5*p, 0 = x - t*p + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 951 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 26240*p - 7607296.\nAnswer: -4*(p + 304)*(p + 6256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 - -6. Let h(o) = -o**2 + o + 2. Let v be h(0). Let r be (-2)\/4*v\/6. What is the third biggest value in u, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 + 2*p - 1. Let z = -2 - -3. Let v be b(z). Let n = 12 + v. Calculate the remainder when 18 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 289*a - 1011. Is z(49) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 - 506*u + 6177. Give z(87).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 2.9. Let m be (-4401)\/(-12987) - 6\/26. Sort 3, m, g, -1\/3 in descending order.\nAnswer: 3, m, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -12*f + 14*f. Let x(n) = -n**3 + 3*n**2 + n + 1. Let o be (-6)\/4*(1 + -3). Let p be x(o). Solve -2*i = -p*q - 10, -q = -f*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 30 = 2*u. Suppose u = -3*g, 4*g = -5*b + 9 + 3. Let n = -1 + -4. Sort -0.1, n, b in decreasing order.\nAnswer: b, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/(-100))\/9*-2)\/(168\/315)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9203537.7 minutes?\nAnswer: 913.049375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {q: 4, a: 2, u: 5, o: 1, c: 1, d: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -33521 and -46.\nAnswer: -33567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-14 - -12))\/(2\/(-7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385*d - 1 + 788*d - 390*d - 253*d**3 wrt d?\nAnswer: -1518*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55037 is divided by 18263.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.4 and 3369.\nAnswer: 3371.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -1. Let g = 22.1 + -18. Let z = i + g. Is z less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3740007.433 + -3740026.43299991. Let d = -18 + 37. Let c = o + d. Round c to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - (4 + 5))\/(4 + -7). Sort -348, p, 3 in ascending order.\nAnswer: -348, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 + -195. Which is the nearest to 1? (a) 0.2 (b) q (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-8) + (-1155)\/(-28) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -797265 < -797264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Do j and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/1*(-178)\/178?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381950055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3 + 486789*d**2*v + 2*d**2 - 642*d*v + 24545*v wrt d.\nAnswer: -18*d + 973578*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 16*u - 9. What is the remainder when f(-9) is divided by (-18)\/(-8)*940\/141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 - (10 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11342000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = 11*i - 2*i. Suppose -10*s + 3*s = -i. Suppose 24 = 3*m + 3*b, 2*m + 0*b = 4*b - 2. Solve -2*a + m*f = 2*a + 16, s = -2*a + 2*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13013333 (base 4) to base 15.\nAnswer: -89a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-6) - (-57 + 60). Which is the nearest to 0.04? (a) 0.2 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w + 9. Suppose a - 4*x - 16 = 0, 0 = a - 2*x - x - 13. Put a, w, -4 in ascending order.\nAnswer: -4, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*k + 2\/3*k**4 + 0 - 1022\/9*k**3 - 686\/9*k**2 = 0. Calculate k.\nAnswer: -1, 0, 1\/3, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + 3311 = 4*x, -x = -3*z - 831. Is x a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 2*j + 2*j - 1 - j + 1 + (-2*j + 0*j + j)*(-3 - 1 + 5) - 263 + 94 - 546*j + 81 + 87 as v + t*j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1182 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 742.7 + -743. Let c be 24\/12*3\/(-22). Put c, -1, 2\/13, z in decreasing order.\nAnswer: 2\/13, c, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - t - 5525 = 0, 11054 = -o + 5*o + 2*t. Let x = 22019\/8 - o. What is the common denominator of x and -99\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 14341704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492559?\nAnswer: 31, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171 - -295. Let m = v - 128. Which is smaller: m or -40\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88583938 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 40 = 5*q - 55*r, -6*q + 3*r = -45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*c - 8 = -556*c + 4*h, -2*c + h - 3 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 452460 - 158?\nAnswer: 452301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Solve -4*w + m = 5, 7*w + j*m = 3*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110282119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - n - 199 = 0, -3*z + 2*n - 5 = 147. Do z and -50 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43245 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47713 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: Simplify ((((1 + sqrt(637))*-1 + 4)*2 - (2 + -5*sqrt(637)*-1 + 5))*-5)**2.\nAnswer: 2450*sqrt(13) + 780350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 q when four letters picked without replacement from xxxvlvqcvrlvvvvcqc?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccbb. What is prob of picking 3 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 10:04 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a + 122. What is d(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnbnbbbnnnbbb?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11649791611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -2\/9, 410, -1\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - 238*c - 89. Give j(46).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1125*y**2 + 2507*y**2 + 218*y**2 - 581*y**2 + (2*y - 3*y + 0*y)*(3*y + y - 5*y).\nAnswer: 3270*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 128, 154, 200, 272, 376, 518, 704?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 7*j - 4*j - 3*u, -3*u = 3*j - 324. Calculate the remainder when 845 is divided by j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -3.4, -5, -4 in descending order.\nAnswer: 0, -2, -3.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*j - 32. Let l(v) = v**2 + v + 2. What is l(j)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 78 + 12 = 0. What is the units digit of (-285)\/i + (-2)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 18. Let m(a) = a**2 - 1. Let f(i) = -k(i) + m(i). Let u(b) = 4. Let t = 58 - 36. Let j = 13 - t. What is j*u(l) + 2*f(l)?\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 5:44 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 67*t + 9. Let f(m) = 19*m + 3. Let z(u) = -7*f(u) + 2*i(u). Let a(q) = 2*q - 3. Determine -3*a(w) + 4*z(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**4 - 7*h**3 + h - 7. Let n(r) = 0*r**3 - 6 + r**3 + 7*r**4 - 7*r**3. Let d(a) = -6*k(a) + 7*n(a). What is the second derivative of d(q) wrt q?\nAnswer: 156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11010 and 16890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgm. Give prob of sequence mg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {v: 2, o: 1, m: 2, z: 1, y: 1, r: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*-129.\nAnswer: -3612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*s + 71 = -29, 2*s - 29 = -h. Suppose -2*p - h*q + 18*q = -20, q - 17 = -3*p. Sort 106, 3, 0.3, p in ascending order.\nAnswer: 0.3, 3, p, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-11)\/(44\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 237*o**5\/20 + o**4\/6 - o**3\/2 + o**2 + 4*o. Let a be t(2). Round a to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/15)\/((-1)\/3). Let o(g) = 10*g - 2. Let k be o(-1). Let y be ((-4)\/210)\/(4\/k). Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by (-5975)\/(-40) - 30\/80?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:17 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 575\/185 + -4 + (1 - 0). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x - 69 = 0. Suppose -41 = 2*s + 5*y, -22 = s + 3*y - 2*y. Let q be (-13 - -16)*(-3)\/(9\/s). Calculate the greatest common divisor of x and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 540*i**3 + i**2 - 5*i + 5. Let k be o(1). Let z = -301 + k. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2135094 and 4092?\nAnswer: 46972068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2265147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*h + 47. Let q be (-6)\/(-4)*(-1692)\/h. Let c = -27 - q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1553*c**3 + 2583*c**3 + 1490*c**3.\nAnswer: 5626*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223208991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 4:02 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8993.5 to the nearest 10.\nAnswer: -8990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15725 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 u when three letters picked without replacement from nhuuogouohnhuuugxhh?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**6 - 2022595*r**4 + 2*r**2 + 67094*r?\nAnswer: -360*r**3 - 48542280*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(-8) - (-4 - -2). Let g = -21 + 26. Suppose -5*m - 5*n = -30, 4*m - g*n + 28 = 7. Is m bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(19)*-1 - (-2 + 1 + sqrt(19)) - (-4 + (-5*sqrt(171))**2).\nAnswer: -4270 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2*w + 10164*t**2 - t*w - 10165*w + 1 wrt w?\nAnswer: t**2 - t - 10165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l + 22 + 2. List the prime factors of (l\/(-9))\/((-15)\/(-25065)).\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + ((sqrt(720) - sqrt(720)*-1*-2) + sqrt(720) + 1 + (sqrt(720) - sqrt(720)*2) + sqrt(720) - -4*(3 + sqrt(720) + 0)))**2*1.\nAnswer: 864*sqrt(5) + 11601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q**2 - 7*q**2 + 8*q**2 - 67*q - 56*q + 125*q to the form o*q + y + f*q**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:05 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 223 = -8*t - 3*t, 2*b - 46 = -14087*t + 14085*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 6*w + w - 10 = 0, 0 = -3*z + 3*w + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2000847 is divided by 537?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12)*(294\/22 - (90 - 77))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*d**2 - 16825*d + 76750 = 0.\nAnswer: 1535\/183, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(95) - ((sqrt(95) - sqrt(95)*-3) + sqrt(95)))*2)\/sqrt(5).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:10 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41646 - -201431. Suppose -100*u - t = -105*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 175*j + 40. Let v be p(8). Suppose 4*y = -v + 4332. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwwwmmew. What is prob of sequence em?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802 = 2*j + 774 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210101 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16377 + 16378 + 4*y**2 - 49136 + 16381.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Let c = 20 + -11. Let u(d) = -16*d + d + d - c*d. What is u(l(a))?\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154424 - 0?\nAnswer: 154424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - -1651. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -15 + 5 + 4 - (-8 + 95\/(-35))?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -220210 (base 3) to base 2\nAnswer: -1010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/28 and 85\/52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + m**2 - 30*m - 42. Let s be g(32). What is s rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 523 + -280. Suppose 3*m = -4*j + x, 11 = 5*j - 4. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1539) + -1)*-4 - ((sqrt(1539) + sqrt(1539)*-2)*2 + (sqrt(1539) + -1 - sqrt(1539)) + -3)) + 3)**2.\nAnswer: 324*sqrt(19) + 55413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/6, 0.05, -5.22, -0.015, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-4 + 172\/44). Let d = 0 - 2. Let f = d - -3. Which is greater: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*u + 3, 11 = -2*b - 4*u - u. Suppose -b*q - q = -1488. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 673130 and 0.215825.\nAnswer: 673130.215825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -24, -2\/5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 917.681 nanometers?\nAnswer: 0.000000000917681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**4 + 1. Let f(b) = -225*b**5 - 765*b**4 - 741*b**3 - 126*b**2 + 84*b + 39. Let x(k) = -f(k) + 15*m(k). Find q such that x(q) = 0.\nAnswer: -2, -1, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1641*n**5 + 37*n**4 + 32619*n + 91 wrt n?\nAnswer: -32820*n**3 + 444*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48256082.\nAnswer: 2, 7, 492409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038536 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - (-74 + -16 + 85)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.278816ml to litres.\nAnswer: 0.006278816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 312929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*f = -256*f - 4440. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0223242025 to 5 decimal places.\nAnswer: -0.02232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-21) - 8\/16.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = 32*v - 237. Solve 5*h + 8 = v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-6) - 70\/(-30)) + (-6)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25426468445671.89999925 - 25426473803933. Let d = p + 5358268.1. Let k = d - 7. What is k rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 2. Suppose 5*o = i - 5, -2*i + 3 = -3*o + 14. Let z be -5*(-8)\/i*1. Put g, -1, z in increasing order.\nAnswer: z, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86627581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.389166 weeks?\nAnswer: 2654567596800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p - 2695 = -249*p + 82*p - 7019 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8700, -34928, -78646, -139854, -218552, -314740?\n\"Answer: -8745*x**2 + 7*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-11 - 1941309\/(-176481)). Round v to the nearest 1000.\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9*(1 + 0). Let y be (4\/12)\/((-1)\/(-36)). Let p = y - 38\/3. Which is the smallest value? (a) w (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -2. What is the greatest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97937472 to the nearest integer?\nAnswer: 9896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/((-83)\/498)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, g: 5}. What is prob of sequence qgq?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 + 6 = 0. Suppose 467 = 16*w - 13*w + b, -b = -4*w + 611. What is the highest common divisor of q and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 339 + 324 = 0, -4*a - 47 = -5*n. Solve 4*z = -m + 13, 5*m - 3*z + n - 26 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*x**2 - 10*x**2 + 2 - 3 - 9*x - 59*x**2 wrt x.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -1\/6*l**4 + 4*l**2 + 0*l + 7\/30*l**5 - 1\/20*l**6 + 0*l**3 + 0. Factor v(z).\nAnswer: -2*z*(z - 2)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190481*h**3 + 143*h - 79.\nAnswer: 1142886*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - (-5 - (2 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2 - 241432*m = 0. Calculate m.\nAnswer: 0, 60358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-44)*x**(1\/4)\/(x**(-4\/3)*x))\/(((x\/x**(-5))\/x)\/x**(-2\/5))**(-4\/19) assuming x is positive.\nAnswer: x**(52121\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264063 - 263969.9862. Let r = m - 93. Round r to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398350430 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*l - 4. Let g(m) = 3*m + 9. Let p(h) = -2*h - 6. Let q(b) = -5*g(b) - 8*p(b). Give q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13347, 13345, 13341, 13335, 13327, 13317, 13305?\nAnswer: 13291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 6*c + 2. Suppose 1 - 13 = -2*v. Let b be a(v). Suppose 2*t + 3*q - 75 = 0, 0 = -3*t - b*t + 5*q + 125. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 367*d**3 - 5*d**2 + 62*d wrt d?\nAnswer: 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(294))\/sqrt(7))\/(sqrt(60)\/sqrt(10)*1).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196736240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, l: 6}. Give prob of sequence sl.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4615)\/198 - -6 - -16) + -2 + 35\/18.\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**8*x\/(x\/(x\/(x*x**5\/x))) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, q: 3}. What is prob of picking 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2 + 2*c - 1. Let p be o(1). Let q(n) be the second derivative of -n**5\/20 - n**4\/3 + 2*n**3\/3 + n**2 + 2*n. What is the units digit of q(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 2208?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - 15) + (-58 - -66).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 526.662 + -521.5. Let u = 5.2 - x. Let n = u + -7.038. Which is the third biggest value? (a) n (b) 5 (c) -3\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/2)\/p**11)**(-19) assuming p is positive.\nAnswer: p**(323\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96704987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/21*(-117)\/702)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*n*t**2 + 4*n*t - 4*n - 238954*t**5 - 68920*t + 1 wrt t?\nAnswer: 26*n - 4779080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -16 + 40. Let m(u) be the third derivative of 0 + 0*u**6 - 1\/70*u**7 + 0*u**n + 0*u + 3*u**2 + 1\/20*u**5 + 0*u**3. Factor m(p).\nAnswer: -3*p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58074.\nAnswer: 2, 3, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -328 in 0.697, -0.5, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -136. Suppose 0 = 3*o + f*m - 8410, -9*m + 11*m = -4*o + 11200. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -7d?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21901*i**2*n - 10523886*i**2 + 7*i*n - 11*n wrt n?\nAnswer: -21901*i**2 + 7*i - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/968616 and 50\/25683.\nAnswer: 6780312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -171*j**3 + 19*j**2 + 19*j - 19. Let o(z) be the second derivative of -57*z**5\/20 + z**4\/2 + z**3 - 3*z**2 - 1714*z. Calculate 6*g(h) - 19*o(h).\nAnswer: 57*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 41. Suppose -3*x - g*n + 420 = 0, 0 = -3*x - x + 4*n + 600. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from bbbvvbb.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 733856029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -32. Let l be (12\/(-10))\/((-4)\/m). Suppose 0 = 2*i + i + 2*j - 35, -2*j + 5 = i. What is the greatest common factor of i and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391532.\nAnswer: 2, 97883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - -3 - (0 - 17). Solve -2*i - b = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = -q - 22, 3*r - 30 = -3*q. Suppose 5*y + 4*p - 40 = 0, -3*p + r = 2*y - 1. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(684) - sqrt(684))**2*-3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47151?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/33 and (14\/32 + 0)*(-8)\/(-6)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -212656*x - 64. Let f be c(6). What is f rounded to the nearest 10000?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1521 = 501. Let u = -676 + 448. Let h = g + u. Calculate the highest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 3*c**2 + c + 5. Let z be h(0). Let a(p) = 274*p - 51. Is a(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from kkkkkknk.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0382102*5.45\nAnswer: -0.20824559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20910, -23681, -26450, -29217, -31982, -34745, -37506?\n\"Answer: l**2 - 2774*l - 18137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 40. Let k = -15 + i. Solve 0 = 5*f - 10, -4*u + k = -u - 4*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4 = 2*c, -4*c + x - 10 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 989248?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*-16 + (5670\/36)\/(-35)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 11:37 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173655 and 115617?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knwk when four letters picked without replacement from {k: 2, l: 13, w: 3, n: 1}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v. Let z be t(2). Suppose -9*k + z*k = 0. Let h = -316\/7 + 45. Are k and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxxdxddxxddd. Give prob of picking 4 x.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -327*i**2 + 8*i - 6. Give m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 178\/669243 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 14. Let o be c(-10). Let x = o - -37. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222472 + -303528. What is r rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7250.774 to the nearest 10.\nAnswer: 7250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 3*v)*(-v**2 - v**2 + 5*v**2) + (3*v + 4*v + 0*v)*(0*v**2 - 2*v**2 - v**2).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 - 107. Let y = p + 179. Which is the third biggest value? (a) 10 (b) -3 (c) 0 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/4 - (0 - 2). Which is smaller: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {q: 2, c: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -5*p + 50, 30*b - 46 + 96 = 5*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 12*v**2 + 30*v + 1. Calculate n(-7).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 540\/(-58) - 15\/(-20). Let u = 20\/29 - j. What is the common denominator of -67\/6 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-270)\/40)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1767 = -45*w + 2667 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 8, -0.5, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*p = -520, -2*u + 0*u = -2*p - 516. Let f = 287 - u. Calculate the highest common divisor of 644 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331cd (base 14) to base 9\nAnswer: 207808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1554527, 1554508, 1554477, 1554434, 1554379, 1554312?\n\"Answer: -6*q**2 - q + 1554534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k. Let y(t) = -2*t**2 - 109*t. Let i(n) = -n**2 - 35*n. Let c(h) = 4*i(h) - y(h). Give c(z(l)).\nAnswer: -288*l**2 - 372*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -0.5, -188 in decreasing order.\nAnswer: -0.5, -6\/7, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -220 divided by 1017\nAnswer: -220\/1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17786, 17792, 17798?\n\"Answer: 6*b + 17780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 9, j - 478 = 4*i + 1269. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11072 is divided by 382?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -149 (base 11) to base 12.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -g + 27. Let x = 203 + g. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*t**2 - 2*t**4 + 0 - 10\/7*t**3 + 0*t.\nAnswer: -2*t**2*(t + 1)*(7*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) 1 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*-5 - (3*(sqrt(68)*2 + sqrt(68) + sqrt(68)) - sqrt(68) - sqrt(68)))\/(-6*(-4*sqrt(100) - sqrt(4)))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -568.1 + 493. Let s = w - -75. Which is the closest to 1\/3? (a) 2 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z - 7*z**2 + z**2. Let u be i(1). Is (9 - u) + 3\/1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - (-24)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -131*g - 16 - 273*g - 114*g + 19*g + 39. What is the tens digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgvgfvfxffdsfs. What is prob of picking 1 v, 1 d, and 1 f?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(14\/4*-11*16\/(-616)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 12 = -0*w + 3*t, 0 = 2*w + t - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-13 - -8) - -8874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/4 + (-2)\/(-4). Let f be -45 + (1 + 1)\/(-1). List the prime factors of n\/18 + f\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22432241 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0803 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 4, 0, 2 in increasing order.\nAnswer: -33, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 87 - 51 = 0. Suppose -d = -193*f + 187*f. Let h(n) = n**3 - 6*n**2 + n - 1. What is h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 5621269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*9*1573\/39. Let u = a - 224. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 100002?\nAnswer: -22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5212*k + 489979. Determine c(94).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6224 a factor of 240843904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**2*w**2 + 11*k**2*w + 3*k**2 + k*w + 67*w**5 wrt w.\nAnswer: -14*k**2 + 1340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 467*h - 3229. Calculate n(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, -5356424 in decreasing order.\nAnswer: 0, -11, -5356424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -183\/1240750?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -31*d**3 - 4*d**2 + 5*d + 127. Let g(p) = 3*p**3 + p**2 - p - 11. Calculate -5*g(i) - x(i).\nAnswer: 16*i**3 - i**2 - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 + 3*w - 1. Let o be (9 + -6)\/(5 + -2). List the prime factors of s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*p = -125*p - q - 323, -4*q = -3*p - 228. Is 77 a factor of (8624\/p)\/(2\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 3. Let g be ((-4)\/(-6))\/(4\/30). Let o = c + g. Solve -2*i + 2*n = 6, -1 = i + 3*n - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3538606655.\nAnswer: 5, 607, 1165933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/30904 and -67\/22.\nAnswer: 339944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -417b?\nAnswer: -4178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 31 = 1. Let f be ((-630)\/49)\/z - 2\/(-7). Which is the closest to 0? (a) -5 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4 + 10*x - 12*x - 4. Let c(j) be the first derivative of 0*j**2 - 1\/3*j**3 + 3 + 0*j. What is c(p(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.735908394 to 3 decimal places.\nAnswer: -0.736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 v when three letters picked without replacement from yvvvkxvovyskvoo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/280 and 19\/440.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 = 3*g - 18, 4*b - 12 = 0. Suppose 3*k - 5*x = g*k + 134, 2*k = -x - 241. Is (0 - 0)\/(-3) - k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 2, -215, -520, -913, -1394, -1963?\nAnswer: -2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 10*k - 7. Suppose -1 - 5 = w. List the prime factors of t(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5\/7 - 389492*a**4\/7 - 389472*a**3\/7 + 1557968*a**2\/7 + 1557952*a\/7 = 0.\nAnswer: -97372, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/4, -0.5, -2, -117.2, -0.0622?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 12*b**2 + 14*b - 26. Let u(y) = -6*y - 13. Let s be (-5 + 4)\/(1\/4). Let f be u(s). Let n be h(f). Solve 4*m - 9 - n = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.021 in 2\/11, -0.4, 0.05, -3, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 2:32 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 7:56 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/316 - 419\/22436. Does w = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -7\/36*z**3 + 169*z**2 - 1\/720*z**6 - 1\/72*z**5 + 0*z + 13\/144*z**4 + 0. Solve c(n) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 56.16.\nAnswer: -280.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 17 (b) 0.2 (c) -1 (d) 103068\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 87 + 7)*(9 - 9 + 4*w).\nAnswer: 660*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-2\/9)*r)\/r)\/r*r**4)\/((r*r*r\/(r**(-2)*r))\/(r\/r**1))*(r\/r**(2\/5))**30*r**(1\/3)*r*r\/(r\/r**(1\/6)) assuming r is positive.\nAnswer: r**(373\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 39*o - 42*o + 9202, -2*y + 3082 = o. Is o a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*s = -1908. Suppose -6*p + 2100 = s. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -690664498.25 less than 119?\nAnswer: 690664617.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 6 = 3*a. Suppose 3*x = -q + 10 - 24, 2*x - 3*q = -a. What is the third smallest value in x, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(-108)\/(-2079)*2\/(-72).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2 - 86*d - 12. Let g(n) = 19*n**2 - 259*n - 33. What is 4*g(q) - 11*t(q)?\nAnswer: -q**2 - 90*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, -44, -67, 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13827*0.2.\nAnswer: 2765.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5722 + 172*h**2 - 61*h**2 - h**3 - 52*h**2 - 1619 - 57*h**2 to the form x*h**3 + w + r*h + l*h**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21357822, -21357823, -21357822, -21357819, -21357814?\nAnswer: -21357807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g + 7. Let u = 33 + -77. Let n be 228\/u + (-2)\/(-11). Let y be q(n). Calculate the greatest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -215, -414, -691, -1046?\n\"Answer: -39*h**2 - 82*h - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(1*sqrt(114) + sqrt(114)))\/((sqrt(6) - (sqrt(54)*2 + sqrt(54))) + sqrt(36)\/(sqrt(24)\/sqrt(4))).\nAnswer: -8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -333*k. Let g(a) = 2*a**2. Calculate h(g(m)).\nAnswer: -666*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6))\/(1\/10). Suppose -4*z = 5*a - 1, 0*z + 5*a - 7 = 2*z. Let o = 2 - 0. Sort o, z, k in decreasing order.\nAnswer: o, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r + r - 348. Suppose 0 = 17*u - 13*u - 1660. What is the remainder when (-2 + 6)*(u\/(-4))\/(-5) is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 5\/2, 93, -2254, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -118. Suppose 2*d + 8 = 2*v, v + 5 = -2*d - 0*d. Let l = d - x. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y*y**(-5))*y)\/y**(2\/7)*(y**(-3)\/y*y*y)\/(y*y**(2\/3)*y))\/((y**3)**(-2\/73))**(-1\/21) assuming y is positive.\nAnswer: y**(4666\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 377\/11?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 3*f + 2260. Let b be q(-46). Solve 0 = 5*u + 4*i + 23, b*i = -u + 10*i + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 9*l**3 - 4*l**3 + 0*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5, -19*c = -5*v - 15*c - 35 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from cmttwwwwntn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * -157053.\nAnswer: -5968014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 863350 + -13813607\/16. Calculate the common denominator of (-610)\/(-132) - 2\/(-6) and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 2. Let j = y - 10. Let o = 3 - 1. What is the closest to 1\/2 in o, j, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14374827*h**3 - 25383676*h**2 wrt h?\nAnswer: -86248962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200794207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45237 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. Suppose 10 + 0 = m*x. Suppose x*t - 78 = 2. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 29. Let q be n(9). Suppose 3*p + 4793 = 5*r, -r = -3*r - q*p + 1914. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56239*p**3 + 225831*p**3 - 56221*p**3 - 56221*p**3 - 56663*p**3.\nAnswer: 487*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13676488 and 8.\nAnswer: 13676488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -461*f**2. Let i(y) = 8*y**2 - 1. Calculate 3*i(a) + q(a).\nAnswer: -437*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003196 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -59) + -6 + (-25 - -11).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*(-14)\/(-154)*-11.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*v + 61 = -92*v. Let w = -66 + v. Which is the nearest to 1\/3? (a) 5 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 21 = 3*o. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12392 or -285019\/23?\nAnswer: -12392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0, 2\/7, 182?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -4 - 18\/6 - -79 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -190*a**2 + 7*a - 3. Let s(p) = -63*p**2 + 2*p - 1. Let o(z) = 2*m(z) - 7*s(z). Suppose -3*k - 1 = 5*b, -3*b + 2*k = -2*b - 5. Is o(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wifi when four letters picked without replacement from {f: 1, w: 6, j: 2, i: 2, q: 5, z: 1}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/15*(226 - 221)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13588.7 or 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2. Let g(f) = -336435*f. Determine j(g(a)).\nAnswer: 339565527675*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5395303 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*(1 + sqrt(5)) + sqrt(605)*1))**2 + (-1*sqrt(1500) + sqrt(1500) - sqrt(1500))\/((sqrt(33)*-1)\/sqrt(11)).\nAnswer: -530*sqrt(5) + 1845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 152*x**3 + 2*x**5 + 196 - 430*x**4 + 802*x**4 - 154*x - 404*x**4 - 164*x**2 = 0. What is x?\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**7\/3360 - k**5\/160 + k**4\/48 + k**3 + 7. Let m(z) be the third derivative of p(z). Let m(l) = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*y**2 + 405*y**2 + y + 0*y - 2*y + y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*f - 6, 0*f = -4*h + 3*f + 13. Suppose -3*m - 18 - 2 = -4*j, 0 = -4*j - 5*m - 12. Solve v = -4*v + 3*x - 7, 0 = j*v + h*x - 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*a**3 + 9*a**3 - 260*a**4 + a + 35*a**3 to the form b + w*a + p*a**2 + i*a**4 + g*a**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/26800872 and 113\/1092.\nAnswer: 348411336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and -1643.8.\nAnswer: -1643.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let m(j) = -c + 2*j + 2*j - j**2 - 6*j. Let b(q) = -27*q - 299. Let a be b(-11). What is m(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3 + (0 + 2 - 4)*(1 - 6 + 2) + 2 + 0 - 3)*(-3*j - j + 6*j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3079, -6156, -9229, -12298?\n\"Answer: 2*l**2 - 3083*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/3 and (3 - -30)*4\/(-54).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9670*s - 9653*s - 17136. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*j**3 + 165*j**3 - 326*j**3 + 9*j**2.\nAnswer: -2*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.67 + 0.25. Let x = p - -0.08. Let j = 1\/14 + 2\/21. Sort j, -0.2, x in decreasing order.\nAnswer: x, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-82)\/(-8) + (-15)\/12 + 1. Suppose 12 + 0 = 3*g. Suppose r - 3*r = -g*w - 4, -r + 3*w = -3. Solve -4*a - b - 6 = r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/24 + (-3 - 36\/12).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 11*t - 16*t. What is the remainder when t is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -2 (c) -3 (d) -4 (e) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.5, -0.2, -2\/5, -7, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 47*r**3 - 185*r**2 + 724*r - 2954. Give m(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 2\/7 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -15. Suppose -v + 2*v - w - 17 = 0, -3*w = i. Suppose 5*x - 4*g - 17 = 4*x, 4*x = g + 83. What is the remainder when x is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129765904*m**2*q**2*v**3 - 39781*m*v + 2*q**2*v**3 - 789*q**2*v wrt m.\nAnswer: -259531808*q**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74544.22032 + -0.77968. Let c = l - -74545.089951. Let g = c - 0.09. Round g to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbwwwjbwbb. What is prob of picking 2 b?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.27689 litres in millilitres?\nAnswer: 66276.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27760 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttblstabjbs. What is prob of picking 3 t?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(5\/2))**(-1\/9)\/(q\/(q\/q**(-26))*q*q\/(((q\/(q*(q\/(q\/q**(-14))*q)\/q)*q*q*q)\/q)\/q)))**(-3\/13) assuming q is positive.\nAnswer: q**(-697\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 40644384.\nAnswer: 8128876.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 - 3*y**3 + 5*y**3 + (-2*y**2 + 2*y - 2*y)*(-3*y - y + 3*y) + 464*y**3 + 590*y**3 - 289*y**3 + 751*y**3.\nAnswer: 1520*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13*w**2 + 12*w - 6. Let q(a) = 12*a**2 - 10*a + 5. Give 3*f(l) + 4*q(l).\nAnswer: 9*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*40\/(-4)*(-1599)\/410\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2243 = 270*y - 6023 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/74207 or 0?\nAnswer: 15\/74207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -36. Let l be -1 + 7 + -2 + r. Let i(t) = -t**3 - t + 5. Let v be i(0). Solve w + 2*y = -2, 4 = -0*w - l*w - v*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40292 is divided by 55?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-3 - 5*-2*(-2)\/(-5)). Which is smaller: 3\/374 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*w + 8, -2*w = v + 4*v - 8. Suppose -4*y + 35 - 11 = 0. What is the greatest common factor of w and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 28*y**3 - 64*y**2 - 220*y - 126.\nAnswer: -2*(y - 9)*(y - 7)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329*2746.397.\nAnswer: -903564.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 39*i**2. Let p = 56 - 101. Let s = 67 + p. Let r(v) = s*v**2 - 8*v**2 - 15*v**2. Give r(q(y)).\nAnswer: -1521*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21681 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(176))*-4.\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 - 11*j**2 + 11*j**2. Let t(k) = 2*k**2. Determine h(t(o)).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -43*j**4\/4 + 3*j**2\/2 + 17*j - 45. Find the second derivative of k(d) wrt d.\nAnswer: -258*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -1078*z**3\/3 + 252248*z**2\/9 + 28422*z + 316\/9 = 0?\nAnswer: -1, -2\/1617, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 196\/3, 1\/6, 0.04, -4\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 8. Let a be x(-11). Suppose 5*m = -a*u + 141, 0*u + 2*u = -6. What is the tens digit of -2*2\/((-8)\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5643*n**2 + 2*n + 5021?\nAnswer: -11286*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, x: 9}. Give prob of picking 2 f and 1 x.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35087922 to the nearest integer?\nAnswer: 5924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11053809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 574, 831, 1118, 1447?\nAnswer: 1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -4\/7 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s. Let t(v) = -9*v - 63. Let r be t(-8). Let j(w) = -3*w - 11 + 2 + r. What is j(g(z))?\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1847\/5 + -369. Which is the nearest to x? (a) -2\/7 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 281, -5, 0.4, -0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 121 = 5*s, 71 = -3*n - 5*s - 0*s. Calculate the common denominator of 33\/28 and (-170)\/n - (-1)\/4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*j - 65, 4*b - 3*b + 4*j = -11. Calculate the smallest common multiple of (5\/(-10))\/((-1)\/20) and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 10:27 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hilgwgmhggli. Give prob of picking 1 w, 2 i, and 1 l.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a century in months?\nAnswer: 20800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21203*r**2 - 33781*r - 13. Let x(a) = 79513*a**2 - 126679*a - 49. Let s(i) = 49*u(i) - 13*x(i). Find the second derivative of s(j) wrt j.\nAnswer: 10556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88764.74473 + -0.075977.\nAnswer: 88764.668753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -667 - 163. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 2, e: 3, h: 2, n: 3, m: 1}. Give prob of picking 1 h and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 36*w**2 - 30*w + 76. Calculate l(-35).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3 and -17\/1281.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*v = 7, v + 8 = 4*k - 0. Suppose t - 8 = -k*t. Let x(r) = r**3 - 3*r**2 + 3*r. Let l be x(2). Solve 3*a - n = 3*n - 4, -l*n - 12 = t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 74 = -29. Let j = a + 11. What is the third derivative of 2*q**j + 6*q**5 - 9*q**5 + q**5 wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -28*i + 8. Let j be p(-9). Suppose -j = 2*q + 2*q. Let o = q + 123. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875790*l**2 - 1751563*l**2 - 66*l - 50*l + 875770*l**2.\nAnswer: -3*l**2 - 116*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 61*b + 686. Calculate i(16).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2*(-4 - -1). Let f = -1 + 5. Suppose 0*d = -d - f. Put g, 7, d in decreasing order.\nAnswer: 7, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12559, 12620, 12661, 12676, 12659, 12604, 12505, 12356?\n\"Answer: -i**3 - 4*i**2 + 80*i + 12484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.1 from -7.2.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*j - 142*j - 27*j - 14*j - 101*j as q + c*j and give c.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-960) + (-4)\/30. Sort -2\/5, -3, h in ascending order.\nAnswer: -3, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djgrjgdr. What is prob of sequence jdr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 + 7. Let z = -91 - m. Suppose -10*t + 15*t - 20 = 0, 5*t - 12 = p. What is the lowest common multiple of z and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32811*p**2 - 443*p - 22641504 wrt p.\nAnswer: -65622*p - 443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40380 + 41121. What is the remainder when n is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/3 - 7712*u\/3 + 197296 = 0.\nAnswer: -7788, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894 - 888 = u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 348*x - 346*x. Let r be (-1)\/(-1)*20\/(-4). Which is the nearest to 0? (a) r (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 72*z + 3. Let o(l) = -l**2 - 6*l + 77. Let y be o(6). Is 14 a factor of i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/3 - 86*o**4\/3 - 70340*o**3 + 5101142*o**2\/3 + 5312075*o\/3 = 0 for o.\nAnswer: -431, -1, 0, 25, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 21*u - 36. What is the units digit of v(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/4 - 13*p**3\/3 - 9*p**2 - 28*p - 968. What is n(-12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/790608 and 77\/1086.\nAnswer: 790608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242068, 242069, 242070, 242071?\nAnswer: 242072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 190 = -184. What is the hundreds digit of 164\/1*((10 - d) + 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*a = -6*a, 5*d + 3*a = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2, -1\/7, 3\/2, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 + 7 = r, 0 = 4*k. Suppose -y = r*y - 181000000. Round y to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - 2*sqrt(243)*-2) + -4)**2.\nAnswer: -360*sqrt(3) + 6091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 0.4, 1, 15\/16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 161946.\nAnswer: 161946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 673*l - 1. Let w be a(-1). Suppose -4*d + 1336 = -2644. Let m = d + w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/14 and 115\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2*x - 7, 13 = 3*x + 4*a - 3*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -2223\nAnswer: -35568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391045 divided by 579.\nAnswer: -391045\/579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 7*m - 14. Let h be i(8). Is (-10)\/h*3 - 1 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -236. Let q = n - -334. What are the prime factors of q?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 4*s - 12. Let o be f(-10). Let q = -29 + 41. Suppose y - 2*x - 12 = 0, x = 3*y + q - 33. Calculate the highest common factor of o and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2, -2.7, -281?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82029281 to the nearest integer?\nAnswer: 9057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -30 - 6*g + 30 - g**2. Let h be l(-5). Solve 4*v - 17 = -h*r, -4*v = 2*r - 7*r - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 1. Let p(z) = 15*z + 10. Let k(g) = -5*o(g) - p(g). Differentiate k(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -5) + -26 + (-35 - -42)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, p: 2, s: 1, i: 1, r: 4, o: 2}. What is prob of sequence pp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1138219122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/3)\/(392\/(-1344)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + 2*s + 2. Let b be y(-1). Calculate the greatest common divisor of b and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5149?\nAnswer: 51490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-50))\/((558\/(-60))\/(-31))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1130 and 266793.\nAnswer: 2667930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (6 + -3 + -4)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28025 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 9*d - 14049. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**4\/24 - 5*m**3\/3 + 168*m**2. Let r be y(-12). Solve 7*h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3629 is divided by 144.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553, -248, 55, 356?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-80)\/108)\/(51\/612*8\/6)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12)*561\/(-22). Factor 8*f**5 + 3*f**5 - f**4 - d*f**5 + 7*f**5.\nAnswer: f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.7 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -430667 > -430749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + 3*m**2 + 58*m - 178. Calculate c(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-36)\/(-117) + 2249220\/130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 164176 + -2?\nAnswer: 164174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 12:55 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4622541.\nAnswer: 3, 7, 11, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(-5 - 655\/(-130)). Suppose -2 + 4 = l. Suppose -y + 15 = -l*b, -3*b + 5 = y - 5. What is the highest common divisor of d and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (110\/25)\/((-1)\/5). Let x be -47*(t - 1) + 0. Let h = x + -4369\/4. What is the common denominator of h and 27\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 11799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/83, 2, 0.2, 1\/2, -40 in decreasing order.\nAnswer: 2, 1\/2, 0.2, -1\/83, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8976)\/132*(-3)\/12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Suppose 4*x + 6*v + 5 = 3*v, -3*v + 40 = -j*x. What is the third biggest value in -0.5, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4334, 10081, 15828?\n\"Answer: 5747*u - 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -393018 or -1965094\/5?\nAnswer: -1965094\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 times 45703\nAnswer: 14624.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 + 772*y**2 + 14*y - 2709. What is n(193)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837949.6 meters to micrometers.\nAnswer: 837949600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -67*u + 1032. Let m be p(15). Suppose -7*o - m = -48. Factor 11\/3*v**2 + 4\/3 - 14\/3*v - 5\/6*v**o.\nAnswer: -(v - 2)**2*(5*v - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 3*u**4 + 87 - 42 + 3*u**2 - u**2 in the form v*u + a*u**2 + j*u**4 + i + z*u**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(72))\/sqrt(12))\/(-6*sqrt(30)\/(sqrt(1000) + sqrt(10))).\nAnswer: -22*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -1. Let y = 0.05 - -0.15. Let h = 5.2 - y. Which is the nearest to d? (a) h (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 9 - 28 - -53) + (-1 - -13)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -3 - -87) + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 + 8*u - 2. Let g be p(-6). Let c = g - -18. Solve 20 = v + 5*z, v + z - c = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*o**3 + 304*o**3 - 145*o**3 + 5*o**3.\nAnswer: 470*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 2*z - 1. Let q(l) = 2*l**2 + 13*l. Determine -q(w) - 4*y(w).\nAnswer: 2*w**2 - 5*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 684 or 680?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329592 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:56 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 478 = 130. Let p = v - 145. What is the remainder when 39 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 6, 1, -3 in ascending order.\nAnswer: -3, -2, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-39))\/(14\/(-4)). Let l = 1\/13 + c. Let a be (-4)\/6*(-6)\/32. What is the biggest value in -3, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*j + 16. Let v be ((-333)\/74)\/(((-29)\/174)\/((-10)\/(-6))). Solve -4*l = j*l + v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(1 + 3*u - 1)*(-354 + 85 + 191).\nAnswer: 702*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02294 in -2, -0.04, 5\/2, -2\/33, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75168322 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2 + 3, 0 = 3*r - 5*f - 365. Suppose r = 4*l - 164. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 128*m + 1066. What is y(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-22*b**3 + 16*b**3 + 1 + 9*b**3 - 4*b).\nAnswer: -6*b**3 + 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.611163um to nanometers.\nAnswer: 8611.163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b. Let m(p) = -1. Let s(g) = 3*g - 10. Let r(a) = 2*m(a) - s(a). Give l(r(h)).\nAnswer: -6*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 1\/7, 7\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32916858 less than 32916855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/20))**(-14\/3))**(2\/91) assuming u is positive.\nAnswer: u**(-7\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2328a (base 14) in base 13?\nAnswer: -2cc4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*i**3)*(-703 + 322 + 323) to q*i**2 + l*i**3 + d + k*i and give l.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = 11, 3*f + 103 = -2*l. Let i be 12\/l*4\/6. Let v = 2.3239 - 0.3239. Which is the fourth biggest value? (a) v (b) 1\/3 (c) i (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2449, 19722, 66601, 157888, 308385, 532894?\n\"Answer: 2467*p**3 + p**2 + p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -0.2669\nAnswer: -0.1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -31. Suppose 0 = 3*n + 9 - 27. Calculate the remainder when h is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 33 = -56. Suppose -13 - x = -9*m. Let 0 + 2\/11*u**m - 6\/11*u**3 + 6\/11*u**2 - 2\/11*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153768023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 10*v - 1. Let l be s(-11). Let y(w) = w**2 - 9*w - 8. Calculate the remainder when 3 is divided by y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042297862 rounded to 6 dps?\nAnswer: 0.000423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -9897388.\nAnswer: -9897388.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 3*p. Let n be g(-2). Let u be (-2)\/8 + (-17)\/(-4). Solve b - 8 = v, -4 = -u*v + n*v - 2*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -0.009959937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 21*u + 36. What is b(25)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2198a73 (base 11) to base 2.\nAnswer: -1110101011011011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -1, 28, 4 in ascending order.\nAnswer: -1, 3, 4, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + n**5 - 3*n**5 + (6*n + 29 - 29)*(0*n**4 + 0*n**4 - n**4) + 2*n**5 + 1 - 1.\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 13*h + 1 + h**3 - 3*h + 4*h**2 + 0*h**3 + 0*h**3 + 4*h**2. Determine q(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 14033*i**3\/3 - 11*i**2 - 75*i + 60. Let g be p(25). What is g rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*u = -3256, -u = 8*o - 11*o + 2434. Suppose 2*w - 1621 = 3*d, -w + 0*d = -2*d - o. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6873?\nAnswer: 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(5\/(-3)) + (-7 - -24). List the prime factors of (1683\/(-6))\/((-7)\/p).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282811302.\nAnswer: 2, 3, 15711739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b086 (base 12) in base 7?\nAnswer: 224112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 4068979?\nAnswer: -813795.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let o(l) = 10*l - 10. Let d(m) = 4*o(m) + 35*r(m). Let q be d(-11). What is the tens digit of (-782)\/(-8) - (-45)\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - n - 1, 5*n = -2*u + n - 4. Differentiate u - 14*l**2 + 0*l**2 + 2 + 3 wrt l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6442954 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 + 5 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1298.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2. Let p(g) = -3*g**2 + 0*g - g**2 + g - g**2. Let b(f) = p(f) - 6*y(f). What is the second derivative of b(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18155387695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 3. Let n be (-3)\/(-2 - (-10)\/8). What is i(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10 + 14*g**2 - 6 + 0*g**3 + 6 + g**3 + 14*g. Let z be a(-13). Let h be (25\/z)\/(14\/(-46200)). Round h to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(-4*f - 3 + 3) - 394*f - 1392*f - 2 + 291*f + (0*f + f - 3*f)*(1 + 0 + 0) to the form z + v*f and give v.\nAnswer: -1489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/32 (b) 11 (c) -652 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 103*f**3\/2 + 1441*f**2\/2 + 1325*f\/2 - 13\/2 = 0.\nAnswer: -13, -1, 1\/103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10289 + 20611 - 103*w - 10322.\nAnswer: -103*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*s + 32 - 127 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.062757 - 7\nAnswer: -6.937243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/95 and 21\/10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 9*i**2 - 7*i - 6. Let u be m(8). Suppose -17 = -3*h - 5, 3*f - u = -2*h. Put -4, f, 5 in ascending order.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.9834 rounded to 1 dp?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 180. Let g be (20\/15)\/((-2)\/t). Let w = g - -85. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82.882*-2.1\nAnswer: -174.0522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 321636 and 336.\nAnswer: 1286544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0382 + -4.1282. Let n = 0.09 + l. Let q be (-1 - -1 - 4)\/(-26). Which is the second smallest value? (a) n (b) 2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = -5*q + 3197, 16 = -4*t. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -6 + (-2 + -41 - -16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -4*f**4 - 16*f**3 + 8*f**2 - 6. Differentiate s(k) with respect to k.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*g - 8 + 89, -4*g + 164 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -8. Suppose 3*f = -i*v + 141, f - 91 = -v - v. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 99 = -3*m. Let w = m - 34. Which is bigger: w or 5\/19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3916 or 3803?\nAnswer: 3916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -48822*c**2 + 292928*c + 17. Give v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2. Let t = 284631.8 - 284632. What is the nearest to -7 in -2\/5, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/33 and -49\/453.\nAnswer: 4983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24990\/(-1764)*(-2)\/5\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -0.2236 (b) -3\/5 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.580004 rounded to two dps?\nAnswer: 67.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 290 = -28*k. Solve 2*c = -h - 5 - 6, -h = -5*c - k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, 3, -35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from giksriviisvv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/772668 and 143\/805434?\nAnswer: 816710076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/15 and 77\/237.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 + -20 + 21\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*f = 4227, -2*g = 3*g + 4*f - 21048. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/12 + (-20)\/(-16). Suppose -r*y = -2*f + 24, -5*f + 3*y + 60 = 4*y. Solve 5*m + 5 + 4 = -3*i, -4*i - f = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3 - 210*k**2 = 0. What is k?\nAnswer: -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -201 + (365 - 119 - 117)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -62. Suppose -15*n - s = -4*n. Sort 1, 3, 5, n in descending order.\nAnswer: 5, 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3 - (-70)\/23).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 10*a**2 - 13. Let i be (-82)\/(-8) + (-16)\/64. Calculate f(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 18. Let h be (-4 + (b - -4))\/1. Suppose 265*l = 271*l - 174. Solve -3*w + 17 = 4*s + 2*w, h = -2*s + 5*w - l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400664 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1803.8 - -1804. Which is the closest to f? (a) 4\/3 (b) -13 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7 = 14. Suppose -2*t - 170 = -i*t. Suppose -4*n - 2*d = -186, -2*n - 4*d + 74 + t = 0. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (sqrt(637) + -1 - sqrt(637)) + (sqrt(13) + -1)*-4*5)**2.\nAnswer: -1000*sqrt(13) + 5825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c**3 + 427*c**3 - 57*c**3.\nAnswer: 433*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3020 = 43*p - 39*p, 5*p = -q + 1013. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 3*z + 67341, -3*z = 3*o - z - 33671. What are the prime factors of o?\nAnswer: 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 3*n**4\/4 - 31*n**3\/6 - 11*n**2. Differentiate h(j) with respect to j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002396400998 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2060 = -125*z - 369*z - 904 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 385 = -5*x, 5*k - 3*k - 148 = -5*x. List the prime factors of k.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 15, z: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/14 + 3\/(3\/3). Solve -19 = -x*u - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1622, -3238, -4856, -6476?\n\"Answer: -t**2 - 1613*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -268\/7 - -1063\/21. Let r = -12 + s. Which is the smallest value? (a) -4 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -808*g**5 - 25884*g**4 + 184136*g**3 + 32268*g**2 - 183328*g - 6384 = 0.\nAnswer: -38, -1, -7\/202, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7866 + 117914\/15. Find the common denominator of h and 79\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 435 and 49?\nAnswer: 21315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1. Suppose 3*p - 1 - 9 = -4*i, -3*i = 5*p - 13. Let w(b) = 23*b + 29. Let y(c) = 8*c + 10. Let x(f) = 6*w(f) - 17*y(f). Determine i*x(s) + 2*r(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/1 + 6\/9. Let q(j) = j**2 + 2*j - 6. Let b be q(-3). Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104701268 divided by 2\nAnswer: 52350634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Sort -2, q, 1\/5, 1\/4 in increasing order.\nAnswer: -2, 1\/5, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4 - 2534*m**3 - 33170*m**2 - 140650*m - 192000 = 0.\nAnswer: -5, -3, 1280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62, 185, 396, 701, 1106, 1617, 2240, 2981?\n\"Answer: v**3 + 38*v**2 + 2*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 18092.\nAnswer: -7, 3, 18092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003191966 rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11282 is divided by 2254?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 139\nAnswer: -135\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**6\/120 + i**5\/20 + i**4\/24 - i**3\/2 - 9*i**2\/8 + 7*i. Factor d(u).\nAnswer: -(u - 3)**2*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2433 - 3455?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220841 is divided by 2659?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 299.2 and 0.7?\nAnswer: 209.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2936124.4 to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.049561 and 0.9?\nAnswer: -0.0446049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25533 - 17.05788453\nAnswer: -25550.05788453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10537 and -9.\nAnswer: 10528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-8) + (-1830)\/48 and ((-82)\/410)\/((-18)\/65)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 9837152363\nAnswer: -9837152371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-15))\/((-228)\/27). Let r = f - -25\/76. Put 8, 0.3, r in descending order.\nAnswer: 8, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-964)\/(-1) + (-16)\/(-8). Let n = -20 - -20. Suppose -b + n*b = -5*l - 334, 3*b - 3*l = j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.245211175 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 - 15)*2*(0 - (-12)\/(-8)). Let k(q) be the first derivative of 0*q**t + 2*q**4 + q - 24 + 1\/2*q**2. Calculate k(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2251 + -1567. Let b = o + -372. What is the highest common factor of 72 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301 > 1299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:53 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3772228600 to the nearest one million.\nAnswer: -3772000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = -0*q, 4*q = -4*h - 60. Let k be (-1 - -1)\/(-10 - h). Solve -4*m - 4 = 2*y + 6, -4*m + 2*y - 14 = k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2 - 27837384.17?\nAnswer: -27837388.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 23467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*x - 23. Let n = -42.7 - -43. Which is the fourth biggest value? (a) x (b) -2 (c) n (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16899 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80) + 2).\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*h + 3*h**3 + 45\/4*h**4 - 7\/4*h**2.\nAnswer: h*(3*h + 1)**2*(5*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-3\/8)*x)\/((x\/(x\/x**(5\/6)))\/x)*x**(-5)\/x**(1\/2) assuming x is positive.\nAnswer: x**(-47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 3*v + 15, 3*h + v + 9 - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1105.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126878473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 33 = -11. Suppose 5*k + 3*x - 739 = 0, -5*k + p*x + 721 = -x. List the prime factors of k.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 29. Let t be b(7). Calculate the greatest common divisor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8118 - 8114. What is the remainder when 727 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619341469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1285870 and 1490?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*p - 23 + 23 to the form z + t*p and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 17. Let h(o) be the second derivative of o**4\/6 + o. Let v(l) = 6*l**2. Let g(b) = j*h(b) - 5*v(b). Let p(n) = -2*n. Determine p(g(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 5*a + 1845. Let q = a - -847. Is 48\/(-32)*q\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/221135?\nAnswer: -3\/221135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v + 84. What is h(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -411 - -67. Let c = r - -805. What are the prime factors of c?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*j - 145*j = 1324. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*y + 274 = 0, 5*a - y + 4*y - 345 = 0. What is the third derivative of -156*q**2 + 180*q**6 - a*q**2 + 49*q**2 wrt q?\nAnswer: 21600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 3*d - 116 = 0, 0 = n - 2*d + d + 17 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10298, -41209, -92736, -164885, -257662?\nAnswer: -371073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 10 - (-7)\/(35\/50). What is the highest common divisor of 251 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104522.16 months to decades.\nAnswer: 871.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 92406\/887 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 253511915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 126*m + 5*m**3 - 126*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 2*i)*(0*i + i + 2*i) - 3 + 11*i + 585*i**2 + 1 - 586*i**2.\nAnswer: 5*i**2 + 11*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x - 5*x**2 + 543*x**3 + 2*x**4 - 543*x**3 to the form c*x + z + i*x**2 + u*x**3 + s*x**4 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x + 0*x)*(-x + 0*x + 3*x) + 0*x - 47167456*x**2 + 47167458*x**2 + 0*x - 505.\nAnswer: 6*x**2 - 505","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-4*m**2 + m**4 + 4*m**2) + m**4 - m**4 - m**4 - 13 + 13 + 9*m**4 + (-2*m + m + 0*m)*(-9*m**3 + 5*m**3 + 13*m**3).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -14.06. What is the second smallest value in c, -0.3, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - -112?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9062697 centuries in months?\nAnswer: 1087.52364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -1\/16*p**5 + 0*p**2 + 1\/6*p**4 + 0 - 1\/6*p**3 - 2*p + 1\/120*p**6. Factor u(q).\nAnswer: q*(q - 2)**2*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 216 = 3*y - l, -y + 3*l + 83 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 0.602.\nAnswer: -0.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258465671*x**2 + 190072656*x wrt x.\nAnswer: -516931342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5 + 31*h**2 - 39*h**2 + 5 + h**3 + 2*h. Let q be n(8). Find the third derivative of 7*o**5 - q*o**2 + 14*o**2 + 3*o**5 wrt o.\nAnswer: 600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*j*l**3*n - 13*j*l**2*n - 5*j*l + 2*j + 984*l**3*n + 4*l**2*n + 2*l**2 wrt l.\nAnswer: 84*j*n + 5904*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*h = -80, 2*u - 4*h + 53 = 51 - 148 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s + 9. Let y be 3 - 1\/(s\/16). Let g = -5.1 + 5. Which is the second smallest value? (a) -0.4 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25361 is divided by 302?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19489065?\nAnswer: 3, 5, 199, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = 5*z - 126, 3*x + 1052698*z - 1052699*z + 3 = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10255167 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21*(2 + -1) + 0\/(-8). Let i(n) = -4*n + n - n + 3*n + c. Is 21 a factor of i(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36823, -227\/15, -2\/15.\nAnswer: -36823, -227\/15, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 3, 0.0584, -9, 15, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 7*p + 2*p)*(0*p + 2*p**3 - p**3 - p).\nAnswer: 2*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppelepleepeppp. Give prob of picking 1 l and 1 p.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o + 29*o - 24. Suppose -10*n + 16 = -o. Solve 3*d - 14 = 5*t, n*t + 2 = d - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16689*h**3 + 16724*h**3 - 50105*h**3 + 16690*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**4*h - 76*b**4*x + 105*b**3*h**2 + 3*b**2*h**2 + 3*b**2*x + b*h**2*x + 255*h*x wrt b.\nAnswer: -48*b*h - 1824*b*x + 630*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4060 = -4*d + 4*a, 8*d + 5047 = 13*d - a. What is the lowest common multiple of 1386 and d?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1246\/2211 - -54\/67. Let x = c + -10\/11. Let f(u) = u**3 - 5*u**2 - 6*u - 1. Let i be f(6). Is x >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 12*g + 1. Let w(p) = -2*p**2 - 10*p + 1. Let t(u) = 4*q(u) - 5*w(u). Let f = -27 - -28. What is t(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(171) + 0) + -4*(sqrt(171) - (-1 + sqrt(171))) - (5 + -1 + sqrt(171) + sqrt(171))*4)**2.\nAnswer: 360*sqrt(19) + 1939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8698 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*l - 6003 = 63*l - 173*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166 + 170. Suppose 6*a - 17 = -4*r + 3*a, 5*a - 23 = -z*r. Let u(b) = -b**2 - 4*b + 3. Let l be u(-4). Solve 8*f + 3*x + 16 = l*f, -r*x = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 3 - 2*a + (-1 + 1 + a)*(3 + 6 - 4) to the form b + v*a and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7672 - -14925. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 8*n - 5. Let w be p(7). Let m(j) = -j**2 - 3*j**w + 6*j**2. Let a(b) be the third derivative of -b**4\/8 - b**2. Give m(a(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w + 20 + 58*w + 4.\nAnswer: 4*w + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 3*w**2 - 2*w**2 - 1 + 1 - w**2 + (-2 + 2 + 2)*(-3 + w**2 + 3) + (0*w + 0*w + 3*w)*(39*w + 142*w + 158*w) in the form q*w + b*w**2 + l and give b.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -586196 or -586197?\nAnswer: -586197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 - 21*z - 2. Let o be s(-3). Solve 3*t - 3*f - o = 8, 16 = -4*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 9*w**2 - 14*w**2 + 5*w**2 - 2*w as h*w + o + l*w**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122\/1530*4\/(-22)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -128 + -111128?\nAnswer: -111256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -2756 in ascending order.\nAnswer: -2756, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5204 (base 6) to base 12\nAnswer: -804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*g + 2*g**3 + 3 + 0*g**3 + 16*g**2 - 3*g**3 - 4.\nAnswer: -g**3 + 16*g**2 - 346*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 10*w + 0 + 11*w - 1.\nAnswer: 27*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50, -19, 40, 133, 266, 445, 676?\n\"Answer: u**3 + 8*u**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*i - 2 - 21, 3*m + 12 = 2*i. Let a be ((m - -3) + -1)\/(-1). Solve 5*g + 4 = 5*x - 4*x, a = -5*g - 3*x + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 3 - 2 + 0 + 4 + (3 - 1 - 4)*(-4 + 0 + 2) - 32 - 4 + 2)*(-59 + 59 + 7*x**3).\nAnswer: -133*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 362 - 360. Is 7268 - b\/(-2*(-3 - -4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11278*r = 11293*r - 566340. What are the prime factors of r?\nAnswer: 2, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2463 + -2459. Let c = -0.7 + 5.7. What is the nearest to 0.1 in -1\/7, f, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/99*9 - (-1752)\/924.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 less than -326524?\nAnswer: -326523.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15\/32 + -199\/288. Sort 2, 4, n, -1\/2 in descending order.\nAnswer: 4, 2, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 6*l**2 - 6*l + 2. Suppose -6*t - 21 = -51. What is d(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2214343772.\nAnswer: -2214343774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39099\/11749 + 103\/31. Let h = b + 792\/6443. Sort h, 1, 0.1, -2 in decreasing order.\nAnswer: 1, h, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*m**2 - 4*m**4 + 2*m**3 - 3*m**2 + 5*m**2 to q*m**3 + z*m**4 + g*m**2 + i*m + p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3\/14)*h*h**(5\/8)*h*h)**(-25) assuming h is positive.\nAnswer: h**(-6775\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3681570.4 - 7769.\nAnswer: -3689339.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1106 times 0.2?\nAnswer: 0.22212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjj when three letters picked without replacement from hjjtgt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -z + 10, 3*b - 2*z = -z - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -7 + 7 - (1 - 2). Let i be c + 5 + -3 + (-47 - 4). Let f = -49 - i. Solve 2*a - f*w = 20, -24 - 1 = -2*a + 3*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2194, -2375, -2550, -2719?\n\"Answer: 3*f**2 - 190*f - 2007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000011010110110001001101 + -100?\nAnswer: 101000011010110110001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3674637 (base 8) to base 13\nAnswer: 296806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 6. Let m be x(0). Let f be -3 - (-2 - (8 - -3)). Let w = f + m. Solve -1 = -u + w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594543, -1189034, -1783525, -2378016?\nAnswer: -2972507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7177345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 8*k - 12. Let y be p(6). Suppose y*f + 4*f = 16. Suppose -1 = -s, -3 - 9 = -4*m - f*s. Solve -3*q - 2*u = m*u - 20, -5*q + 10 = -5*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - c**3 + 7 - c**2 + 4*c + 3*c**2. Let b be y(6). Let o = 45 - b. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1396045*g**5 + g**3*o**3 + 11*g**2*o**3 + 481*g*o**3 - g*o**2 wrt g?\nAnswer: 83762700*g**2 + 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l - 4 = 69*l, -f - 5*l - 2 = 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5379 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003260761 rounded to six dps?\nAnswer: 0.003261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/174 and 26\/3509?\nAnswer: 21054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 + 4*h + 1 + 1 - 4*h**2. Let q = 12 - 4. Suppose 3*v - v = -q. Calculate t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 2*q**3 + 0*q**3 + (2*q**3 + 0*q + 0*q)*(2 + 0 - 1) - 569*q**3 + 458*q - 458*q to v*q**2 + b*q + d + w*q**3 and give w.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36348000 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 86, 134, 164, 170, 146?\n\"Answer: -q**3 + 67*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28827295*y**2 - 68447*y + 25 wrt y?\nAnswer: 57654590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 44*w = 43*w - 13, -2*z + 4*w = -34 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 19. Let w(r) = 3*r**2. Determine w(u(d)).\nAnswer: 48*d**4 - 456*d**2 + 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 13*t + k, 96145*t - 4*k = 96143*t + 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2395804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59954535, 119909081, 179863629, 239818179?\nAnswer: 299772731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - (27 - 70)) + 24 + 2 + -5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 35. Suppose 5*g + 2 = w. Let v(k) = k**3 - k**2 - 1. Let h(b) = -4*b**3 + 2. Give g*h(u) + 2*v(u).\nAnswer: -2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 187.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9750074 and -0.1?\nAnswer: 9750074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k + 0*k**2 - k**3 + 1 + k**2 - 3*k. Let a(f) = 7 - 5 + f**2 - 1. Give a(g) - l(g).\nAnswer: g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 10*b + 29. Let p be i(7). Let t be (-44)\/(-77) - (-10)\/7. Sort -4, p, t, -1 in ascending order.\nAnswer: -4, -1, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 738*t**5 + 1100*t**3 - 3467657*t**2?\nAnswer: 44280*t**2 + 6600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-2*l + 3*l - 3*l) - 1 - 2*l + 1 + 1517 - 1517 - 209*l.\nAnswer: -207*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 10, -3*l - 5*m - 4 = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**2 + 12*r**2 - 12*r**2 to the form o*r**2 + p + k*r and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 314970*c**2*v**3 + 1047*c**2 + 2*c - 4*v**4 - 953 with respect to v.\nAnswer: 944910*c**2*v**2 - 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1 (c) -2\/89 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 - 4*q - 1. Suppose -i = 3*u + 11, 2 = -0*u - 2*u - 2*i. Let b be f(u). Solve 2*c - b = c + 5*n, -3*c + 4*n = -24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 + 32 = 0. Let y(j) = -d - 7*j + j - 1. Let i(r) = -2*r - 2. Let p(v) = v**3 + 6*v**2 + 7*v + 1. Let q be p(-3). What is q*i(w) - 2*y(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -73. Calculate the greatest common divisor of p and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 53 + 106 - 55 to the form r*p + b and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -217 and -0.1.\nAnswer: 21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(3\/18). Let m = 8.3 + -5.3. Let o = 3.1 - 6.1. What is the nearest to m in 0, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194823.2 millennia to centuries.\nAnswer: 1948232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 5*h - 15. Let u(r) = 3*r**2 - 14*r + 44. Let i(l) = 11*c(l) + 4*u(l). Let n be i(0). Let s(w) = -w**2 + 16*w + 8. Is 6 a factor of s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4502506 is divided by 377.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -12.99. Let l = -0.19 + r. Sort l, 4, 3 in decreasing order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -469, -267, 61, 509, 1071?\nAnswer: 1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 3 + 2)*(21*y - 484*y - 313*y) + 2*y + 3*y - 3*y)*(0 - 1 + 3) in the form k*y + x and give k.\nAnswer: 4660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*q + 157*q - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + j + 1. Let c be 152\/57*3\/2. Suppose 6 = -2*m + l, -c*m - 14 = -5*l - 8. Let o(b) = 2*b**2 - b - 1. Give m*o(u) - 5*i(u).\nAnswer: -3*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 1}. What is prob of picking 1 g and 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 26*i + 59. Let r be f(28). Let t(k) be the third derivative of 0*k + 0*k**r + 0 - 6*k**2 + 7\/12*k**4. Let p(y) = y. What is t(p(l))?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 6*i + 5. Let q be -14*(1 - (-1)\/(-2)). Let n be l(q). Differentiate -n*z - 2*z**3 + 1 + 12*z wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*d + 118*d - 219*d + 10*d - 8*d + 5*d + (-3 - 2*d + 3)*(1 + 2 - 1).\nAnswer: -53*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73873?\nAnswer: 31, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -151003.5 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**3 + 2*g**2 + 4*g + 7. Let x(d) = 33*d**3 - 6*d**2 - 11*d - 19. Determine 8*b(o) + 3*x(o).\nAnswer: 11*o**3 - 2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*s + c + 55, -39 = -2*s - 5*c. Solve -3*q = -s*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 4*x + 7111 = 0. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 8:46 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34480208 by 1231436.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 88 (b) 1\/5 (c) 27\/4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 22.124691001103?\nAnswer: 25.124691001103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 49, 104, 203, 358?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 6:53 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1369*f**5 - 3*f**2 + 22*f wrt f.\nAnswer: -82140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r - 1 - 13*r + 4. Determine t(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7123, -14254, -21399, -28564, -35755?\nAnswer: -42978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -41076 and 269 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87 - -27) + (119 - 30).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 5*q - 3. Let k(d) = -3*d + 17. Let b be k(-15). Suppose -2*a = -0*a - b. Let c be 4\/20 - a\/5. What is o(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*u**5 - 27*u**4 + 27*u**4 + (u**4 - u**4 - u**5)*(1 - 1 + 2) - u**5 - 2*u**3 + 2*u**3.\nAnswer: 23*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-25)*10\/45?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 27*j**2 - 4982*j - 24863. Give c(-5).\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/49 + -23\/49. Which is the nearest to 2\/5? (a) 2\/15 (b) u (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13160370 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + 25*m + 17. Let k be z(13). Suppose -k*f = 2*x - 8, 5*x - x = -f + 37. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 633 + -617. Solve 3*f - 4*j + 2 + 10 = 0, -5*j = -4*f - o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 6) in base 3?\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m**3\/7 + 33*m**2\/7 - 6*m\/7 = 0 for m.\nAnswer: -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*o = 17, -x + 2*o + 0 = 1. Solve -x*p + 3*z + 2 = z, 4*p = -3*z + 31 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84165 and 165.\nAnswer: 925815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11708.\nAnswer: 2, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 + -3.9. Which is the nearest to h? (a) -4 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 133*s**2 - 130*s - 264.\nAnswer: -(s - 132)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2904 and 562034?\nAnswer: 74188488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9932, 9934, 9936, 9938, 9940?\nAnswer: 9942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*v + 35 = 0, -5*v = 5517*d - 5516*d + 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 4\/37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0088409 times -2\nAnswer: -0.0176818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i - 1 + 1 + 20*i - 8*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*i + 527*i = -1827*i - 68904 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**1)\/s*s\/s**2*s)**32 assuming s is positive.\nAnswer: s**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 5*a**2 - 4*a + 6. Let h be k(4). Suppose -w = w - h. Solve -8*x**w + 4 - 2*x + 7*x**3 + 2*x**2 + 9*x = 0 for x.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5587471, -5587463, -5587455?\nAnswer: -5587447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -28. Let r be 1 + d - (-17 - -2). Let t = -165 + 166. Calculate the greatest common divisor of t and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.9 - 7. Let w = 0.1 + d. Let f = -0.0016 + w. What is f rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**2 + 3003614 - 42*j**2 - 3003614.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 1. Let g = r + -0.5. Let s = 11 + -12. What is the closest to 0 in g, 5, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3848079.\nAnswer: 3, 1282693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**12*i**(1\/11) assuming i is positive.\nAnswer: i**(133\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5944*23.\nAnswer: 136712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 4:09 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -724.0121 - -724. What is y rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmmtm. Give prob of picking 2 t and 1 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18044438?\nAnswer: 2, 29, 311111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*g + 197*g = -17304. Calculate the highest common factor of g and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21608, -43215, -64822?\n\"Answer: -21607*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74708606, 149417214, 224125822?\n\"Answer: 74708608*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-1)\/150*4.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(126\/1512).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b**2 - 18*b - 18. Let w(q) = -27*q**2 - 17*q - 17. Let z(y) = -6*w(y) + 7*x(y). Let f(u) = u**2 + u + 1. Determine -24*f(t) - z(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229*d**2*k**3 - 3565*d**2*k - d*k**2 - 17*k**4 wrt k?\nAnswer: 1374*d**2*k - 2*d - 204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 965576 and 77816.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -9*c + 9. Which is smaller: -4\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - (-2 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5895 and -0.8?\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1788 divided by 13270.\nAnswer: -894\/6635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*w = 1, 4 = -4*w - 8. Let a = 1 + 2. Suppose 3*q = 5*l - 29, l + 2*l = a. Is j equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2280 - 970. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 0*g**2 + 5*g**2 + 3*g**2 - 6*g**2 + 4*g**2 + (3*g**2 - 5*g**2 + g**2)*(1 - 1 - 2) + 4*g**2 + g**2 - 2*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12*t - 300. Let o be h(-33). Suppose -5*c + 2*r + 97 = -26, -4*r - o = -4*c. What is the greatest common factor of c and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2 - (-135)\/(-70)). Calculate the highest common factor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, n: 3, f: 4, o: 6, s: 4}. What is prob of picking 2 f and 2 s?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8980747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1413763.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1353, 5\/11 in decreasing order.\nAnswer: 1353, 5\/11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(-606)\/101?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**3 - 7*y**2 - 7*y + 2. Let b(x) = x**3 + x**2 + x. Give -5*b(s) - z(s).\nAnswer: s**3 + 2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555410107?\nAnswer: 7, 89, 891509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vel when three letters picked without replacement from vhveldd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000020866 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9 - 2*p**2 + 4 + 5. Let m(n) = -4*n**2. Calculate m(q(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4085*j + 1744644. Give l(-427).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*k - f + 6348 = -246*k, -2*f - 16 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44235775?\nAnswer: 5, 1769431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 4*a**2 - a**5)*((-6 + 4 + 4)*(-1 + 1 - 2) - 66 + 20 - 25) + (-3 - 2 + 6)*(5*a**5 + 0*a**5 + 5*a**5) + a**5 - 3*a**5 + 4*a**5.\nAnswer: 87*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242999.5l to millilitres.\nAnswer: 242999500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102221020 (base 3) in base 8?\nAnswer: -20774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 510*c*q**3 + 13868*c*q + 2*c - 8710942*q**3 + 2*q wrt c.\nAnswer: 510*q**3 + 13868*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337325371.\nAnswer: 3697, 91243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 163861048 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 27 = -4*r + 7*r, -2*r = 5*h + 24. Let s(c) = c**3 - 7*c**2 + 4*c + 5. Let v be s(6). Calculate the least common multiple of 5 and 2\/r - 16\/v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020375648 rounded to 4 decimal places?\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 532 and 2134460?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/35 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -0.2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8949699 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0.2, 0.41, -3 in descending order.\nAnswer: 15, 0.41, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from ktnz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 361 and 6335683.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.277 meters in kilometers?\nAnswer: 0.569277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let y = 34 + -32. Let h(m) = y - m - 7*m**2 - 4 + 1. Let r(w) = w**2. Determine s*h(f) + 5*r(f).\nAnswer: -2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**3 + z**2 - z. Let m be v(1). Is (262\/(-3))\/(m\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 divided by -38?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8251365 is divided by 208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4) - (-3)\/((-4224)\/(-544))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 20 = -12*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 63375.77 times -0.03\nAnswer: -1901.2731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 2*r - 6, 4*m + 21 = 5*r. Suppose 2*v = i - 3 - 19, 101 = 4*i + 5*v. Solve c + m = -3, l - 5*c = i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -151, -136, -23, 218, 617, 1204, 2009?\nAnswer: 3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*l - 3*l**4 + 8*l - 1 - 3*l**4 + 38*l + 2*l**3 to c*l**3 + j*l**2 + z*l + n*l**4 + m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7626261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - g - f - 19 = 0, -5*f = -5*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*s + 64. Suppose s = -2*x + 4*z, -16 = 2*x + z - 3*z. Let q be x\/(1\/(-1)*1). Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4 = 4*v - 5*y, 4*v - 4*y - 48 = 0. What is the highest common factor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-2\/13)\/s)*s)**(3\/20) assuming s is positive.\nAnswer: s**(81\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*z**3 - 8*z**5 + 12*z**3 + (2*z**2 - 2*z**2 + 2*z**5)*(-1 + 2 + 1) + 16*z**5 + 118*z**2 - 118*z**2 - 1 + 2*z**5 + 1.\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 6. Let k be b(-9). Let y = 2827 - 2849. Sort y, k, 1 in ascending order.\nAnswer: y, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 20 = 2*v, 11*v + 4*k = 13*v + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 35\/26?\nAnswer: 35\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 16*f + 41. Suppose -5*s + 73 = -s - 5*w, 0 = 5*s + 3*w - 82. What is the remainder when c(s) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*r + 3. Let b be (-8)\/16*(-4)\/r. Solve 0*q - 7 = b*u - 3*q, -4*u = -q - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*n = -40 + 35, -5*g + 74 - 108 = -3*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 386, 715, 1028, 1325?\n\"Answer: -8*i**2 + 353*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5\/20 + 5*z**4\/6 + 7*z**3\/3 - 4*z**2 + 3*z. What is the remainder when a(11) is divided by 1\/(-2)*2*-13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 9*w - 6. Let o be j(7). Let l = o - 14. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 462529, 462472, 462413, 462352?\n\"Answer: -m**2 - 54*m + 462584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0 (c) 13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 48323, 1, -316 in decreasing order.\nAnswer: 48323, 1, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*g + 15 = -5*g, -3*o = -g - 25. Suppose -4*v - v = -c - 347, -5*v + 5*c = -335. Calculate the greatest common divisor of v and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3625358754 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701 = 2*x - 5*k, x - 350 = -k + 3*k. Suppose -4*f + x = -160. Let p = -46 + f. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/6 + 2\/3. Let u(c) = 2931*c - 5854*c + 2924*c + 7. Let p be u(g). Solve p = d + 2 - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:44 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13907 and -5.\nAnswer: -13912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 138 = 5*t. What is the highest common factor of 253 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 5*x - 3*x, 0 = -4*x - 5*h + 8. Suppose -x*t = -5*t, -4*t = d - 53. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 0 + 15)*(-63*o**2 - 47*o**2 + 77*o**2)*(4*o - 3*o + 3*o).\nAnswer: -3696*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/419382 and 37\/12.\nAnswer: 838764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1051429 to the nearest 1000.\nAnswer: -1051000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -23 - 1. Solve 0 = -j*c - 2*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1950*i**2 + 2*i + 264 wrt i?\nAnswer: 3900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from oaaooau?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((3*75\/(-180))\/5)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f + 2. Let s be (-22)\/(-10) - 5\/25. Give v(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 + 198 = -8*s. Solve -5*i - h + s*h = 0, -5*h = i + 27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1966 - -3456. Round g to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -54. What is the second derivative of 2 + 16*u - 2 + 8*u**4 - u**t wrt u?\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1, -0.4, 15.14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -63137*k**2. Let g(a) = -29*a**2. Give g(j(t)).\nAnswer: -115602142301*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.1 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 divided by 1?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 7*x + 0 + 2 + (5*x + 0*x + 0*x)*(0 + 0 + 2)*(2 - 5 + 4).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20142400 (base 6) in base 12?\nAnswer: 237a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188920*u - 80573.\nAnswer: -188920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21508*v**2 + 21515*v**2 + 21511*v**2 - 86095*v**2 + 21550*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.011 - -0.289. Which is the nearest to 0.2? (a) 1\/8 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152869 is divided by 576424.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 12. Let z be (-4)\/30 + (-128)\/(-60). Suppose -z*w - 5*t + 62 = 0, w - 4*t - 11 = 7. What is the remainder when w is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 72 = j, 0 = -p + 2*j + 29 + 10. Suppose -36*v = -p*v - 2. Solve -v = -t - s, 4*t + 0*s = -s - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (-1 + 21)\/4 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, -14, -18, -2, 46, 138?\n\"Answer: 2*w**3 - 8*w**2 - 2*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0110866 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 282 = 4*j + 52, 3*j + 338 = 5*s. What is the smallest common multiple of s and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 33*h**2 - 318*h + 15. Calculate s(-8).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-13)*234\/(-2145))\/(2\/(-110)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 64160*o\/9 - 514563200\/9.\nAnswer: -2*(o + 16040)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 108*x - 8029. Give q(73).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1210 divided by 242\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v - 4 = x - 31*v, -3*x + 5*v - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1051 = -22*r + 3767. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -269 + 267.33. Let d = 1.11 + 0.362. Let n = s + d. What is n rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1070 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 - 91 - h**2 + 14*h**2 + 91.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 q when four letters picked without replacement from {e: 2, f: 4, m: 1, q: 2, k: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from vvkv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/2 - 33*h**3\/2.\nAnswer: -h**3*(h + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:49 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 6*v)*(-2*v**2 - v + v) - v**3 + v**3 - 2*v**3 + 3 - 3 - 2*v**3 + (0 - 2 - 3)*(-v**3 + v**2 - v**2) + 3 - 3 - v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y + y + (-6*y - 2*y - 3*y)*(16 - 3 + 23).\nAnswer: -395*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(2 + 132\/8).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*u + 51, 2*u - 3*b + 6*b = 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89451 greater than or equal to 89625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -3*g**4\/8 - g**3\/3 - 11*g**2. Let f be ((-50)\/45)\/5 - 225\/81. Give p(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 383 and 371893?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187*j + 687 = 6110 - 42220 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -37.83. Let t = 0.26 - d. Let v = -0.114 + t. Round v to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.4 - 21.5. Let p = 30 + i. Sort 3, p, -1\/2 in increasing order.\nAnswer: -1\/2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Suppose 2 = -n*s + 6*s. Let h(w) = -7 + w - 5 + w**3 + 1 + w**s. Give h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 0*y + y)*(-6 - 1265*y - 28 + 4*y**2 + 1280*y) in the form r*y**2 + d*y + f + z*y**3 and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 11?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = 0, -m + 71 = 4*h + 4*m. Let z(s) = 3*s**2 - 46*s + 7. Is z(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-273)*-3*(1 + 1). Suppose -16 + 4 = 3*r. Which is the third smallest value? (a) r (b) d (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/11))**32)**(2\/7) assuming c is positive.\nAnswer: c**(192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1462*h + 1549 - 1549.\nAnswer: -1462*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/600 and 53\/13800.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -61\/120*r**6 - 1\/12*r**5 + 0*r**3 - 142*r**2 + 1\/4*r**4 + 0 + 0*r. Find the third derivative of l(j) wrt j.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 + 13*g + 17. Does 14 divide c(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 0.1, 80, 2, 1\/79?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0\/2)\/(-1))\/2. Solve -2*l + 4 + 0 = s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, -4, 0 in increasing order.\nAnswer: -12, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 2}. Give prob of sequence px.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - (-8 - -14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -29*d**3 - 163*d**2 + 7*d + 3. What is y(-2)?\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k - 18*k = 101*k - 429. Solve 73*p + 26 = -3*t + 69*p, -k*t + 3*p = -9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/18937308 and 4\/2605.\nAnswer: 94686540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644 is divided by 150?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.771 + -0.029. Let a = -8.8 - v. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*n)*(2 - 2 - 2*n)*(-2 - 1 + 5).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12597115*v**3 - 2458536*v**2 wrt v?\nAnswer: 75582690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10551 divided by -226\nAnswer: -10551\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -l + 21 - 4, -4*l + 3 = f. Suppose 3*p = l*p + 2. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 242321 + -56001?\nAnswer: 164320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/4 - 3*b**3 + b**2\/2 + 2*b - 145. Calculate y(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five halves of a hour?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 26*u**2 - 22*u + 9. Is 36 a factor of b(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 95?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 5:22 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 3. Let k be l(4). Let p(u) = -k*u - 2*u - 2 - 2. Let r be p(-3). What is the greatest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 212*s + 39. Let t(l) = -210*l - 33. What is -6*t(q) - 5*u(q)?\nAnswer: 200*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 11*r**2 + 2*r + 24. Let u be x(-11). Let w be 1\/(-6)*(12\/u - 2). Sort -3\/4, w, -3\/5, 1.\nAnswer: -3\/4, w, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = -4*w + 5*v, 3*v = -5*w - 13. Let o be 2 - (1 - w) - -2. Let l be o - (-1 + 2) - -2. Sort 4, 0, l.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (750*p**5 + 242*p**5 - 106*p**5)*(-1 + 0 + 0).\nAnswer: -886*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/(2\/(-678)). Let n = -787\/7 + x. Which is the nearest to 1? (a) 2 (b) 2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*a - 4*c, -5*a - c + 19 = 0. Let p(l) = -2*l - 2*l**a + 3*l**2 + 4*l**3 - 4 + 2*l**2. Let f(u) = -u**2 + u + 1. Calculate -4*f(q) - p(q).\nAnswer: -2*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -60808b?\nAnswer: 60808b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/sqrt(4))\/sqrt(7))**2 + (sqrt(7) - ((-1*sqrt(7))**2 + 0)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 - 3*o + 7. Let r(f) = 9*f**2 - 6*f + 14. Let d(w) = 11*j(w) - 6*r(w). Suppose 2*k + k = -15. What is d(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -5. Let b(u) = 4*u + 13. Let x(y) = -y - 4. Calculate s*x(g) - 2*b(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 4)*(-2*d - 2*d**2 + 2*d) + 4*d**2 + 0*d**2 - d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10392 and 8445?\nAnswer: 29253480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 265*v**2 + 6*v. Let y(i) = 3443*i**2 + 77*i. Calculate -77*j(p) + 6*y(p).\nAnswer: 253*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432250 and 92328600?\nAnswer: 461643000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2258 and 12940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 558\/59 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_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: (2*(-3)\/12)\/((-12)\/(-8))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/5)\/(4\/50). Let o = 22 - c. Suppose 5*k = 3*t - 0*t - 20, t - o = 3*k. Solve t*q + 9 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31b + -1?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266 divided by -24186.\nAnswer: 133\/12093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**3 - 26*p + 4. Let s(y) = -4*y**3 + 13*y - 2. Give -2*l(t) - 5*s(t).\nAnswer: 4*t**3 - 13*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42214801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-5)\/t)**(-1\/31))**(3\/13))**(1\/13))**(-41) assuming t is positive.\nAnswer: t**(-738\/5239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 706717298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2. Let s(u) = u**2 + 18*u - 13. Let m be s(-19). Let i(w) = m*w**2 + 9*w**2 - 11*w**2. Determine k(i(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75097967783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Let y = 22 - w. Suppose 2*k = 245 + y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (3 - 7) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67595263 is divided by 38211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273431?\nAnswer: 127, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2208)\/(-240) + ((-8)\/16)\/((-2)\/(-40))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -1636 (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 + x**2 - 2*x + 1. Let k be i(1). Suppose 0 = -k*z + 9 + 1. Let a be (2*-2)\/(z\/(-2)). Put 2, -2, a in decreasing order.\nAnswer: a, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - -51)*(-9 + 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 19*t = -5*l - 15, -12 = -4*t + 3*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) 0.1 (c) -3 (d) 607 (e) 50 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4*8\/3. Let d be (-6)\/15 + f\/5. Is d > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-4)\/(-48)*1*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 28. What is the highest common divisor of z and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 315*b - 23485. Calculate o(-120).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttetktataetajat. Give prob of picking 1 e, 1 a, and 1 k.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 10*i**2 + 11*i. Let k = -4 - 4. Let m be p(k). Let b = m + -27. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10 = 5*x - 18, 4*g + 3*x + 16 = 0. What is the hundreds digit of -1 + g\/(24\/(-798))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-63)\/(-35) - 2)\/(12\/274) and -97\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43196530 and 1794?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u - 6. Let g = 14 + u. Suppose 0 = 17*t - 9*t - 18*t + 110. What is the highest common factor of t and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*w**4 - 71*w**4 + 195*w**4 - w**4 + 4*w**4 - 2*w**4 + w**4 + 4*w**4 - 6*w**4 + (-4*w + 3*w - w)*(3*w**3 + 0*w**3 - 4*w**3) - 2*w**4 - 3*w**4 + 4*w**4.\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 + 3*m**3 - 3*m**3)*(-72*m + 138*m + 142*m).\nAnswer: 624*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -64.3. Let t = 0.7 - p. Suppose -5*y - 67 = -82. What is the nearest to -0.1 in t, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 13. Put 3, 4, v in descending order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/3)\/((-1)\/2). Let l(t) = 2*t + 6. Let v(i) = -i - 1. Let r(w) = o*v(w) + l(w). Let s(d) = 2*d**2. Give r(s(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2727 + 2895. What is the least common multiple of 21 and p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000162762 rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 701.3083 rounded to the nearest ten?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 3, -6, 7.\nAnswer: -6, 0, 3, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 739789291 a multiple of 3845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -62158?\nAnswer: 435106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5 + 1820*l**4 - 2*l - 1572 wrt l?\nAnswer: 20*l**3 + 21840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41238 is divided by 2314.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 14. Let t be c(5). Put t, 1\/2, -0.04 in descending order.\nAnswer: t, 1\/2, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 880862 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2034\/(-14) + (-4)\/(-14). Let r be 99\/165*(-2190)\/9. Is p < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.58887 not equal to -2\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 17*d - 22*d + 11*d**2 + 2 - 7*d**2.\nAnswer: 4*d**2 - 31*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12391466249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 66*u. Let a(q) = -q**2 + 22*q. Let l(h) = 11*a(h) + 4*k(h). What is the second derivative of l(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198 - 188. Let p(u) = 1166998*u + 20. Let w be p(g). What is w rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152740261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.5 plus -1.6?\nAnswer: 619.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, -6 in descending order.\nAnswer: 4, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**5 + 25*w**4\/4 - 10*w**3 - 10*w**2 + 40*w - 27. Suppose v(x) = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t + 78*t - 5*t)*(3 + 10 - 12).\nAnswer: 83*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*b = -32 + 26, -4*h = 5*b - 57 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -4*r**3\/3 - 16*r**2 - 60*r - 44. Factor j(m).\nAnswer: -4*(m + 3)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.092.\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120022 - 20002122222?\nAnswer: -20001002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 139.0162. Let t = v - 234.0162. Let l = t + 223.3. Round l to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.211 + -0.789. Let m = 1.534 - 0.034. Let x = 1.5 + m. Put z, 1\/3, 0.2, x in increasing order.\nAnswer: z, 0.2, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 23*d + 104. Let o be k(27). Let x = 715 + -482. What is the remainder when x is divided by (o - -7)*104\/12?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c4 (base 15) to base 16\nAnswer: 27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 35 + 9 = 0. Let k = 21 - i. Let w(d) = -d**3 + 8*d**2 + 3*d + 2. Is w(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -7*h + 8*h - 3, 2*h + 30 = 5*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (1 - 2)*(-18 - 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 13.3. Let a = b + -9. Sort 4, 5, a in descending order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/3*1\/(-24))\/((-36)\/(-162)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 14*l**2 - l - 15. Determine c(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1212 + 1211 - 2423 + 23*g - g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, -3, 8, 1, 0.\nAnswer: -13, -3, 0, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*q + 72 = 59*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1532991 - 184061. Round u to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 33 = -c. Let u(o) = -4*o**c + 3*o**3 - 4*o + 5*o - 6*o**2 - 5. Give u(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 21*t + 11*t + 50 = -7*j, 0 = -3*j - t + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000045118 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y - 1. Let k(m) = 9*m**4 + 39*m**3 + 43*m**2 + 5*m + 4. Let x = 240 + -244. Let t(p) = x*n(p) - k(p). Determine w, given that t(w) = 0.\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**2*v - 209*n**2 - 219*n*v wrt v?\nAnswer: -n**2 - 219*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**11*d**4)**(1\/2) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 3*z. Let q(l) = 22*l**2 - 8. Let t(k) = 8*k**2 - 3. Let b(r) = 3*q(r) - 8*t(r). Calculate b(o(v)).\nAnswer: 8*v**4 - 24*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*i + 18 = 0, -1807*c = -1802*c - i + 39. Let g(w) = -w**3 - 12*w**2 - 19*w + 9. What is g(c)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or 8408?\nAnswer: 8408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(7 - 7 + 4*c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 93*v + 89386. Calculate o(-349).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g + 2*g. Find the second derivative of 4*b - 6*b**g + 3*b**2 - b**2 wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:37 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 6*s - 22. Let l(v) = 45*v**2 + 28*v**2 - 75*v**s. Let o(u) = u**2 - u**2 + 3*u**2. What is l(o(p))?\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9302, 11154, 12994, 14822, 16638, 18442?\n\"Answer: -6*o**2 + 1870*o + 7438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44640073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 + -899\/7. Let a(r) = r - 3. Let m(d) = -d + 2. Let h(v) = -3*a(v) - 2*m(v). Let k be h(6). What is the nearest to 0.1 in k, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 4\/5*j**5 + 2*j**2 - 16*j + 0 - 7\/3*j**4 + 4\/3*j**3. Find m such that l(m) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*g**3 + 2883*g**2 - 17784*g - 2268.\nAnswer: 3*(g - 6)*(g + 126)*(8*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 d, and 1 u when four letters picked without replacement from {u: 2, d: 4, x: 1, a: 8}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*j + 12 = 62, 0 = d - 2*j - 27. Suppose -25*h = -d*h - 1778. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3296 and -5.\nAnswer: -16480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 150 (b) 1\/62 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 5\/6, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**7 + 7*b**3\/3 + 9. Find the third derivative of o(t) wrt t.\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13507 and -362?\nAnswer: 13869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 16 + 33 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2845 - -5?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 25*l + 46. Let j = -67 + 48. Let z be f(j). What is the highest common divisor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2 + 424*r - 5376 = 0?\nAnswer: -224, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -1\/6 (c) 2\/5 (d) -368\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.8082 grams in micrograms?\nAnswer: 251808200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*r + 5*a + 8, 0 = -4*r + 2*a + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(56\/(-30)) + -2. Let t = 0.1 - 0.1. Let w = -71.4 + 71. Which is the nearest to t? (a) w (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 25)*(-5*q**4 + 33*q - 521*q**3 + 521*q**3) to f*q**2 + w*q**3 + y*q**4 + b + g*q and give g.\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 1953916*h + 477223466882 = 0.\nAnswer: -488479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 0*k**3 - 3*k**3 + (-k + k - k)*(4*k**2 + k**2 - 4*k**2))*(k + 5*k - 5*k)*(33 - 7 - 6)*(-324 + 413 + 398).\nAnswer: -29220*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2238758kg in nanograms?\nAnswer: 223875800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -350.642 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1102*a**3 - 129*a**2 + 33*a - 7. Let i(b) = -368*b**3 + 43*b**2 - 12*b + 2. Let r(x) = -4*h(x) - 11*i(x). Find the third derivative of r(q) wrt q.\nAnswer: -2160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -44 + 5*m + 190 - 139. Let z(p) = 2*p + 11. Calculate b(z(o)).\nAnswer: 10*o + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 13. Let n be (1\/57)\/(2\/12). Let w be (-3 - 25\/(-9))\/((-2)\/6). What is the nearest to w in n, t, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2558507 centuries to months.\nAnswer: 307.02084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 4*h + 2*h**3 - 19*h**4 + 9*h**3 + 21*h**4 + 7*h**3 to the form b*h**3 + f + w*h**2 + y*h**4 + p*h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/(-125) + (1835903\/5 - (-11)\/55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 162706, 325443, 488206, 650995, 813810, 976651?\n\"Answer: 13*c**2 + 162698*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 3. Let a be g(-5). Let j(b) = -9*b**2 + 22 + 18*b + 2*b - 4*b + 23*b**2 - 10*b**2. What is the hundreds digit of j(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 590*t - 593*t + 21, 18 = 3*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/114, 8, 0.06, 0.04?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -843 or -775?\nAnswer: -775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 13296582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-360)\/(-54)*-3)\/(-2). Suppose 5*c - 71 - 194 = 0. Let -k**2 - 60*k + 120*k - z - c*k = 0. Calculate k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24424.2 - -24424. What is the nearest to z in 1, -7\/2, -0.05, 2\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/((-1)\/((-3)\/(-12)) + (-65258)\/(-16348))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 542 and 33327309.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -0.5. Suppose 18 = 8*x - 30. Suppose 2*p - x + 0 = 3*q, 4*p - 12 = 2*q. What is the biggest value in q, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 4*t - 12. Let x(d) = 2*d + 2*d + t + d. Let k = 69 + -71. Give x(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 33 + 4*s**2 - 3*s - 17*s**3. Let k(j) = 34*j**3 - 9*j**2 - 66. Let p(c) = -4*k(c) - 9*l(c). What is the derivative of p(d) wrt d?\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -430566 - -3013960\/7. Let b = -0.45 + 0.05. Let u = 63 + -251\/4. What is the closest to -0.2 in u, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 19 = 7. Suppose -o = -n*o + 87. Suppose 0 = 3*w - 4*g - 41, -3*w - 3*g + o = -g. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h + 4. Let s(r) = 2*r - 19. Let b be s(11). Determine p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.328312 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from uiiiixxxixoxuoxux?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*o - 142231 - 35609. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 + -32. What is the least common multiple of 22 and n?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1111100010000111101010001?\nAnswer: 1111100010000111101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8589 and 2454.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038119000 a multiple of 8189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 2 + (sqrt(72) + 3 + -3 + sqrt(72) + sqrt(72))**2).\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*l + 196 + 160, 1446 = 4*u - 5*l. Calculate the remainder when u is divided by 179.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -15*f**2 + 9*f + 22. What is l(-2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 1 - (-6 - -4). Suppose 15*r - 24 = 11*r. Suppose -609 = -r*i + k*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-60))\/(32\/30 + -1). Let v(n) be the first derivative of u*n**2 + 1\/4*n**4 - 2*n + 1 - 4\/3*n**3. Determine v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15739026*j - 8*j**3 - 3 + 2 - 1 + 2 - 15739026*j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 170*m + 1034. Let b be n(-6). Solve -120 = b*r - 204 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -26*h. Let s(w) = -52*w. Give 13*a(t) - 6*s(t).\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*j - 136*j + 4752 = 0. Let s be (-6 - -4 - 1) + 91. What is the greatest common factor of s and j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410983612 divided by -15807062\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 3 + 15*y**2 + 7*y**2 + 21*y**2.\nAnswer: 52*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44\/33*(16\/328 - (-95125)\/4100)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - 2*(-134)\/4 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -2 (c) 1\/6 (d) 7 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -6)\/(48\/72). Let y = 15 + m. Suppose -3*q + 0*k + 10 = 5*k, -5*q + 5*k = 50. Put y, -3, 5, q in increasing order.\nAnswer: q, -3, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10251601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.785 or 136?\nAnswer: 22.785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30700 + -30696. Suppose -j + 4*f = 3, -3*j + 4*f = 3*f - 13. Solve 7*k + 4*q = t*k + 9, -3*q + 4 = j*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h. Suppose 0 = -0*w - 3*w + 6. Let z(a) = -3*a**w + 3*a**2 - a**2. Determine y(z(p)).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -741125?\nAnswer: 741129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9724 and 2794363.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37198234?\nAnswer: 2, 41, 453637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/12)\/(10\/12). Let j be (1\/3)\/((-5)\/15). Are h and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.6, -4, 0.058, -7?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 2) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1537 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 4 + -2 + -1. Let j = i - 0. What are the prime factors of 1 + -1 + (j - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*n - 87*d - 135*n**2 + 3 wrt n.\nAnswer: d - 270*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3\/2, -117?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 8 - ((39 - 5) + -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.70692 + 262922858\nAnswer: 262922858.70692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*k**3*q**3*z**3 + 2684*k**3 + 87*k**2*q**3*z**3 - 4*k**2*q**3 - 5*q**3*z wrt k?\nAnswer: -84*q**3*z**3 + 16104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3871587.\nAnswer: 3, 29, 44501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-32 - -21) - 1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 u when four letters picked without replacement from {u: 6, e: 6, r: 3}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t + 2*d, -2*t = -2*d + 5*d + 5. Suppose -20 = -t*s + f + 4*f, -3*s - 5*f + 55 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -161*b**2 + 11*b + 247. Let k(v) = 15*v**2 - v - 23. Let j(t) = -43*k(t) - 4*r(t). Let i(g) = -7*g**2 - 2*g + 4. Give i(z) - 4*j(z).\nAnswer: -3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63608 is divided by 273.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 0 = x - 4 - 0. Solve -3*f - 1 = -x*j, -r*j + j - 14 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2880 or 1?\nAnswer: -1\/2880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21505685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 182. Suppose 5*m = -25, 3*f - 266 = -y*m + 39. List the prime factors of f.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnuunnnxxnxuux. What is prob of sequence xxu?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4 - 70261241*m**3 - 4662*m**2 - 2*m - 3551?\nAnswer: 24*m - 421567446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, h: 2, z: 13}. What is prob of picking 3 s?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, 3, -618, 76 in descending order.\nAnswer: 76, 4, 3, 1, -3, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = -12. Suppose -1 + x = -3*t. Is t > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361 = 1322*r + 1880 + 1125 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {g: 2, v: 4, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*416.62.\nAnswer: -37.4958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 - 10*h + 3. Suppose 2*v - 4 = -5*f - 0*f, 3*v - 25 = 2*f. Is 31 a factor of a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*(((f\/(f\/f**(-3)))\/f)\/f)\/f*f)\/f)\/f*f)\/f)\/f*f*f**5*(f**(-2\/7))**(-9\/7) assuming f is positive.\nAnswer: f**(18\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - ((-3)\/5)\/((-6)\/30). Let i(q) = 8*q - 1. Let c(n) = -7*n + 1. Determine y*i(f) - 7*c(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -86, 39 in ascending order.\nAnswer: -86, -5, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.87 - -3.56. Let x = -0.689999365 + j. What is x rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 73*a**2 - 235*a + 6369. What is i(75)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-15 - 4)) + 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12455989 + 18202886. Suppose -u = 5*j + 2353103. What is j rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-2))\/(-1))\/((-3399)\/618).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8309\/1418747 - -23\/3333. Calculate the common denominator of 10\/9 and f.\nAnswer: 11493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 49 = 12*j. Suppose -o = -m - 8 + j, 5*m = -o + 1. Are 0 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5477320053?\nAnswer: 3, 608591117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22732430 and 1295.\nAnswer: 22732430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 11*a**2 - 4*a + 6007. Does 49 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112294709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 3*a - 44. Let n be j(-6). Let x(z) be the second derivative of -n*z + 1\/28*z**4 + 0 - 9\/14*z**2 - 1\/7*z**3. Find o, given that x(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11691*h - 81. Let d(a) = 899*a + 6. What is -27*d(p) - 2*r(p)?\nAnswer: -891*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -516377*u**2 - 646522?\nAnswer: -1032754*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1 - 0.44.\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 304, 310, 316?\n\"Answer: 6*r + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, x: 11, f: 2}. What is prob of picking 2 x and 1 f?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 13. Let w(y) = 3*y**2 - y + 1. Let z be w(1). Let b be 4\/(-6) + 20\/z. What is the greatest common divisor of b and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1525155 - 5213250 = -15*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 762628 and -97.\nAnswer: 762531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -0*k - 1832. Let q = k + 232. What is the greatest common divisor of q and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(-58 + 69 - 65\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 14. Let q = -10 + l. What is the second derivative of 3*s**5 - 7*s + 3*s + q*s**5 wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628\/7 - 20\/(-70) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284110622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*m - 128 + 224, -2*n - 3*m = -258. Sort 1, -2, n in increasing order.\nAnswer: -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4662443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d + 6. Suppose -1 = f + 2. Let s be -3 + 8\/(f + -1). Let x(l) = -19*l - 12. Let b(v) = s*t(v) - 2*x(v). What is the derivative of b(y) wrt y?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 236 - 98. Suppose 3*c + u = -5*i + 13, 44 = -c - 4*i. Let n = c + 85. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 7*n**2 - 14*n - 2. Calculate m(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 9*j**2 - 6*j - 12. Let o be b(8). Suppose 9*s - 54 - 117 = 0. Differentiate o*l - s*l + 6*l + 8*l - 12 wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1827 and -0.06?\nAnswer: 0.010962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -11. Suppose -h - 7 = -5*d + 5*l, -4*d = -5*l - 5. Solve 3*b = 4*b - d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 52*x**2 - 98*x + 23. Is m(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let q(o) = -6*o**2 + 8*o + 1. Determine q(f) + 6*v(f).\nAnswer: -6*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 7:06 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*t + 58 = 72, -5*f = t + 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 10. Let d be b(15). Let q(z) = -1 + 3*z - d - 2 - 1. Let v(i) = i - 4. Calculate 4*q(w) - 9*v(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 116*b - 13. Let y(j) = 126*j - 20. Let x(g) = -12*i(g) + 11*y(g). Let n(t) = -4*t**2. Calculate x(n(o)).\nAnswer: 24*o**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-6) + (-10)\/(-12). Solve j = -2*a + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 1847*i - 1848. Give v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*u + 56 = 0, 2*u - 50 = -2*l - 10. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 1. Let o(c) = 9*c + 10 - c - 3. Suppose 0 = -l - 12 + 10. Give l*o(d) - 18*j(d).\nAnswer: 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4 = -0*a - a, 2*a - 8 = -n. Let b be (3 - 3) + (-1 - n) + 5. Solve -6\/7*i**3 + 0 - 3*i**5 + 0*i - 27\/7*i**b + 0*i**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 3 - (-20)\/1. Let s be 2710\/(-85) - 2\/m. Let o = -1 - s. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + 0*f**2 + 0*f**2)*(2*f**2 + 5*f + 2 - 5*f) + 2 - 4 - 51*f**4 - 7*f**4 as k*f**2 + t*f**4 + o + y*f + m*f**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**6\/120 + 4*n**3\/3 - 5*n**2\/2 + 2*n. Let p(f) be the first derivative of k(f). Find the first derivative of p(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -38, 6, 86\/5, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131\/2*m + 55 + 11\/2*m**2 = 0.\nAnswer: -11, -10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 394487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1356783*x**4 - 391766.\nAnswer: 5427132*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 88, 36, -16, -68, -120?\n\"Answer: -52*z + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 151 = 16. Suppose o = 4*a - m, -a + o - 1 = -10. Solve 8*p + 4 = -a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 202543914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/18 + (-216)\/(-486) + -12 + 14. Let -124\/13 - 430\/13*c + 14\/13*c**g = 0. What is c?\nAnswer: -2\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11765*s**2 - 16 - 1207*s + 661*s + 664*s wrt s.\nAnswer: 23530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2, l - 5*t - 60 = -4*l. What is the remainder when 127 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2173 - 2555?\nAnswer: -4718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 2*b - s - 358, 2*b - 445 = 3*s. List the prime factors of b.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 40300.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**9\/252 - 22*j**7\/105 - 2*j**5\/3 + 146*j**2. What is the third derivative of n(q) wrt q?\nAnswer: -240*q**3 - 1056*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300132011 (base 4) to base 6\nAnswer: 4131045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/154*(-91)\/((-13)\/(-1))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c + y, 3*c + 0*y + 2*y - 4 = 0. Let i = -71 + 76. What is the greatest common divisor of i and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 1\/2, 75, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8148 times 0.4?\nAnswer: 3259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*y = -62 - 9, -2*y - 64 = -3*q. Suppose -3*p = -q - 20. Let u be (-21)\/p*(-10)\/3. Solve 10 = -u*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86908? (a) 2 (b) -5 (c) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81675*k + 8752*k - 17789*k + 34152*k + 35746*k.\nAnswer: 142536*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m - 1. Let i(h) = -15*h**2 + 6*h - 34. Let v(p) = 14*p**2 - 6*p + 28. Let u(j) = -5*i(j) - 6*v(j). What is -u(k) - 6*w(k)?\nAnswer: 3*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**2 - 18*r**2 + 25*r**2.\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 - 3*v**2 - 2*v**2)*(-9*v + 45*v + 4*v) + 6*v**3 - 25*v**2 + 25*v**2 in the form r + s*v + o*v**2 + u*v**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c (base 13) in base 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 5718.\nAnswer: 5717.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Let j(g) = 9*g**2 - 9 + i + 7. Let o(w) = w. Give o(j(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 1\/3, -2\/13, -3\/121, -114?\nAnswer: -3\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uju. Give prob of sequence uu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 11.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + g - 1. Let p(k) = 3*k**2 - 1 - 2*k**2 + 2*k**2 + k. Let i(w) = -5*b(w) + 4*p(w). What are the prime factors of i(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11186\/(-136))\/(-47))\/(70\/96)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49161 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 35 = -7*d - 2*a, d = -3*a. Suppose 4*s + 169 = -d. Let n = s + 48. Put n, 5, -5 in descending order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*q**3 - 289*q**3 - 17*q**2 + 139*q**3 + 33*q**2.\nAnswer: -3*q**3 + 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 141*g**2. Let q(p) = 14*p**2 + 12*p - 4. Let c(a) = 12*a**2 + 9*a - 3. Let n(w) = -4*c(w) + 3*q(w). Determine x(n(h)).\nAnswer: 5076*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*r + 38880015, u + 77118179 = -5*r - 20081826. Round r to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 25*s**4 + 810*s**3 + 8320*s**2 + 28800*s + 10240 = 0.\nAnswer: -16, -8, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let b(a) = -5*a + 43. Calculate -b(v) + 3*p(v).\nAnswer: 2*v - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59539150 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = -4. Suppose 0*p - 3*f = -3*p + 12, f - 4 = -n*p. Suppose 3*v - p*v - 35 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36482 and 20605 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 165651082 less than 10.26083?\nAnswer: -165651071.73917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/p*p*p**(-3\/14)*p*p assuming p is positive.\nAnswer: p**(109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p + 5. Let s(r) = -r**3 - 9*r**2 + 11*r + 4. Let d be s(-10). Suppose 29 = -5*o - 41. Let k(z) = -4*z - 2. Give d*x(a) + o*k(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103.3 - 101. Which is the biggest value? (a) s (b) 1\/4 (c) 0.4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 164 - 50*12\/60?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5427.339294 to the nearest integer.\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8*-3633\nAnswer: 29064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.2331414795 and 5.\nAnswer: 2.7668585205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1490 - -3035\/2. Find the common denominator of -25\/4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 12 + 32 = -2*r, 5*f = -5*r + 20. Solve r = -l + 6*l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Let g(b) = b - 3*b + 2*b - 16819*b**2 + 18728*b**2. What is g(r(w))?\nAnswer: 1909*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*m + 85*m - 42*m + 5352 = 0. Calculate the least common multiple of 39 and m.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**2 - 7*f - 216. Determine l(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 54*y + 55. Let u be g(-1). What is the nearest to u in 0.57, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = -1. Let i(m) = 2*m**2 + 7. Let n(v) = -v**2 - 4. Let x(s) = b*n(s) - 4*i(s). Let p(h) = h. What is x(p(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u - 2 = -w, -u = -3. Put -5, 10, -2, w in decreasing order.\nAnswer: 10, w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*v - 29 + 39, -4*i - 4*v = 0. Suppose 0 = -3*c + c + 34. Solve -c*l - i = -18*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + sqrt(76) + sqrt(76) - -2*(sqrt(76) + (-2 + sqrt(76))**2) - (((3*sqrt(76) + 2 - sqrt(76)) + sqrt(76))**2 - (sqrt(76) + 0)*-5).\nAnswer: -521 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 36 = 0. Suppose -7*n = -x*n + 165. Let a = n + -20. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 573\/70 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1100130 (base 5) to base 4\nAnswer: -10211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/14*1\/(-3). Let t = 0.33 + 0.07. Let s = t + -0.1. Put s, 3, u in increasing order.\nAnswer: u, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000222843 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-66))\/((-2)\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01336360069 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a1b (base 13) to base 4.\nAnswer: -10023011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -2 in descending order.\nAnswer: 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.42? (a) 5 (b) 0.44 (c) -1\/4 (d) 0.274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 8897514?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/23 at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 30*t - 81. Give x(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {l: 1, j: 1, h: 3, k: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*v = -246419, 45*y - 41*y = -5*v + 197086. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/30145, -2\/3, -109 in descending order.\nAnswer: -1\/30145, -2\/3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 212*a + 1993. Determine j(202).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.82. Let d = -791714 + 791714.1799924. Let h = y - d. Round h to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 391 from 94.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) 0.5 (c) -3 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3273 - 3268. Solve -x*m = 4*m + 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -48*g**2. Let u(t) = 34*t**2. What is n(u(q))?\nAnswer: -55488*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 33 = -2*y - 0*w, -31 = -2*y + w. Let m(a) = -a**2 + 17*a - 16. Let i be m(y). Solve 8*u - 4*u - 12 = 0, i = -5*q - 5*u + 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32529768 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 + 168\/20. Let x be ((-4)\/(-7))\/(4\/14) - 0. Let c = x + k. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/360*-6*(2 - (-6)\/(-8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -106.45984.\nAnswer: 10.645984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825657113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 42*l**2 + 260*l.\nAnswer: -2*l*(l - 26)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -31178*h + 155926. Give x(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612419299 to the nearest integer?\nAnswer: 24747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 586706743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 4, p + 4*i = 38. Let n = -2 - -7. Suppose -l + n = -p. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*94094685\nAnswer: -18818937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 146*t - 25. Suppose n + 3*i = 0, -i + 4*i = -2*n + 12. Is y(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.10973km to centimeters.\nAnswer: 2710973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -622138714 minus 37.3?\nAnswer: -622138751.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = z + 30013, 9*z = -2*w + 4*z + 30043. Let o = 9939 - w. Round o to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*r + 21. Let y = r - 6. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u**4 - 6*u**3 - 4*u**2 - 6*u + 6. Let g(n) = n**4 - n**3 - n + 1. Let h(v) = -6*g(v) + i(v). Find the third derivative of h(s) wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 723 and 1371049?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69\/12 + (-9)\/12. Suppose -v*u = 5*s - 1720, 2*s - 427 - 255 = u. What is the greatest common divisor of 38 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 65 = 26*c. Let w = c + 13. Solve w*z = -4*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*(-12)\/120*-785. Calculate the highest common factor of x and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 7*t**2 - t - 2. Let m(g) = g - 1. Let l(r) = 4*m(r) + v(r). Calculate the remainder when l(-5) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(2\/4 + -1). Let m = x + 6. Suppose m = 3*b - 4*s - 31, 5*s = 3*b - 17 - 12. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 20 in descending order.\nAnswer: 20, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11192, -26624, -50538, -87176, -140780, -215592, -315854, -445808?\nAnswer: -609696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/7))**(3\/26))**30*(k*k*k**0*k)**5*(k*k**1*k)**(-5\/13) assuming k is positive.\nAnswer: k**(1665\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(4\/(-60))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 7. Let z be f(7). Let w = -17 + z. Suppose 2*n + w*n = 66. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f. Let k(p) = p - 107. What is k(t(j))?\nAnswer: -2*j - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/13, 146, -2\/7, 0.19.\nAnswer: -2\/7, -0.2, -2\/13, 0.19, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 89\/6 (c) 2\/5 (d) -1 (e) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 120*f**2 + 12*f + 2. Let d(a) = 40*a**2 + 4*a + 1. Let g(q) = 7*d(q) - 2*p(q). Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:11 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-6))\/((-1)\/((-7)\/1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 5 + -3 - (184 - 152).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 55 = 5*r + 2*s, 5*r - s = 31. Let w be 7\/r*4*(-10)\/(-8). Suppose 7*p - 2*p + 35 = -w*y, 5*y + 7 = 2*p. Sort -5, p, 4 in decreasing order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/10)\/(16\/40). Let w be -313*1\/(-2) - u\/4. What is the highest common divisor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/59, 0 in descending order.\nAnswer: 0, -5\/59, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11411026 + -32?\nAnswer: -11411061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/9272565 and 23\/8670?\nAnswer: 18545130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36, -706, -3432, -9360, -19708, -35694, -58536, -89452?\n\"Answer: -203*y**3 + 226*y**2 + y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, p: 1, u: 1, w: 5}. Give prob of picking 1 p and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 - -49. What is the common denominator of (-4)\/(-144)*(-1716)\/(-18) and 372\/a*(-1 - -3)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 74743564?\nAnswer: 74743559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 716*x - 708*x - 56 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + s - 6*s = 25, 5*z = 2*s + 3804 - 3776 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 117. Let m(x) = -x - 1. Let j(u) = -4*m(u) + v(u). Is j(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24800240 a multiple of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*b + 3, 0*b + 4*f + 12 = b. Suppose -2*m - s = -11, -m - 4*s + 1 + 8 = b. Solve q = 2*q + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(((-17)\/(1020\/84))\/(2\/10))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000054089 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 19905, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*b + 11. Let c(l) = 7*l**3 + 3*l - 14. Let q(z) = -6*z**3 - 4*z + 14. Let p(r) = b*q(r) + 4*c(r). What is the derivative of p(m) wrt m?\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749656 is divided by 456?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802*s = -797*s + 215. Which is greater: -41 or s?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222513, 222492, 222457, 222408, 222345, 222268?\nAnswer: 222177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 + 152. Let d = g - -2. Calculate the remainder when 19 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.2 (c) 2 (d) -7 (e) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 4, u: 4, k: 1, g: 3, o: 4}. Give prob of picking 1 u, 1 k, and 2 g.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-2)\/(-9))*(55\/(-60))\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268)*-3 - -3*(-3 + 3*sqrt(7)))**2.\nAnswer: 810*sqrt(7) + 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -25*q + 434. Give z(18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4792 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188116.\nAnswer: 2, 131, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:46 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1032 or -11342\/11?\nAnswer: -1032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6) - 2\/4. Let k(a) = 11*a**2 + a - 1. What is k(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from pglgpgpppixk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/30 and 64\/215.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/((sqrt(12) + 2*sqrt(12))*-4))\/((1*sqrt(80)*6 + sqrt(80) - sqrt(80) - sqrt(80))\/sqrt(8)).\nAnswer: -sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10262 + -10260. Solve 0 = -z*r - 1 + 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)\/v*v)\/v**1*v**(1\/5)\/v*v\/(v\/(v\/v**(-1\/6))) assuming v is positive.\nAnswer: v**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22935*x**4 + 10880 wrt x.\nAnswer: 91740*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33\/40 - 13\/8. Suppose r = -3*s - 7 + 1, 0 = 4*s + 8. Which is greater: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 5*c**2 + c - 2. Let x be t(-5). Let g = 207 + -106. Let b = g - 101.2. Sort 4, x, b.\nAnswer: x, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -509, -4, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2064 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3560 and 7680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + (-86 + 99 - (12 + -4))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-3) + (-8)\/(-3). Let v = -0.17527 + 0.17527. Which is the second smallest value? (a) v (b) 0.47 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1670644 divided by 7079\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*s - 388, -s - 278 = p + 116. Let j = p + -27. What is j rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*c**2*s*v + c**2 + 4*c*s*v - c*s wrt v.\nAnswer: 27*c**2*s + 4*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, 0.4, 3, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 811513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, 1\/5, 14, 0 in ascending order.\nAnswer: -5, 0, 0.1, 1\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18860981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 6835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1479*x**5 - 6584*x**5 - 6090*x**5 + 598*x**5)*(3 + 1 + 0)*(-4 + 4 + 1).\nAnswer: -42388*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6529847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1952157 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016733 to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 2\/15, 0.1, -1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209016 by 8709.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20142 divided by 27?\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 959369, 3837501, 8634389, 15350033, 23984433?\nAnswer: 34537589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 0 - (-9)\/(-3). Suppose -1400 = -3*c + u, p*c - 1872 = -c - 4*u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 8. Let n be z(-7). Suppose 32 = 19*y - n*y. Let s(k) = -3 + 5*k - y*k + 4*k**2 - 10*k**3 + 11*k**3. Give s(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001343601 rounded to six dps?\nAnswer: 0.001344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14*102\/48 + (-8)\/32. Let p(l) = l**3 + 31*l**2 + 32*l + 56. Let h be p(y). Is 0.1 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45521142 (base 6) to base 11\nAnswer: -872a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.26 and 66.\nAnswer: 66.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g**2 + g + 2. Let a be m(0). Suppose -3*p + 4*t - 32 = 0, -p - p = a*t - 2. Does 10 divide -13*(p + 3) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:54 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -22, -23, 2, 59, 154?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 9*s**2 + 1. Let p be q(-9). Suppose -3*l + p = 2*w - 1, 0 = 3*l - 3*w - 12. Suppose -2 = -u + 5*b, 3*u + 0*b + l*b + 11 = 0. Does u = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 17 + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/3*(5\/(-13))\/(427\/5551)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.3179959 - 3.\nAnswer: -8.3179959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087019 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 2:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 228 = -98. Let g = p + -27. Which is smaller: -0.163 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 + 44*c + 21. Calculate m(11).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:32 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 11. Let q be (-3)\/v - 2\/(-4). Suppose -4*u + q = -2. What is the least common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**3 + 20 + i + 196 - 2*i**3 - 2*i**3 - 23 in the form u*i + x*i**2 + b + j*i**3 and give b.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4153152 divided by 4\nAnswer: 1038288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c - 5?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/(2409\/(-2628)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -1\/2*w**3 + 0 - 15*w**2 + 23*w. Let y be h(-11). Solve 0 = -6*a + y*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-10)\/15 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.112396*1\nAnswer: 0.112396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 - 89*s - 107*s - 4*s**3 + 216*s + 12 = 0. Calculate s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -3, -6, -11, -18, -27, -38?\n\"Answer: -m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 v, and 1 l when four letters picked without replacement from svtlvlvuutrt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*k*t*w**2 + 16*k*t + 196*k - 10*t*w**4 wrt w?\nAnswer: 22*k*t*w - 40*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2387 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10881647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 1\/2, 2\/17, 6\/5, -3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(6*sqrt(22)\/sqrt(2)) + 3.\nAnswer: sqrt(5)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 4*u - 1. Let f be c(2). Let z(v) = 2*v**3 - v - 6 - 5*v**2 - f*v + 3. Let l(d) = 0*d + 3 + d + d**2 - 2. Calculate -3*l(t) - z(t).\nAnswer: -2*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -32\/3*o**3 + 10*o**2 - 3*o**4 + 36 + 24*o. Factor y(w).\nAnswer: -4*(w - 1)*(w + 3)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -3*q + p + 1337, 0 = 3*q - 5*p - 1844. Suppose 0 = -7*w + q + 936. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27915, 27903, 27891, 27879, 27867, 27855?\nAnswer: 27843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) - 22\/(-5). Let r(p) = -q*p**2 + 3*p**2 + 5*p**2 + 2*p**2. Let a(c) be the first derivative of c**2 - 2. Determine a(r(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46066, -184690, -415730, -739186, -1155058, -1663346?\n\"Answer: -46208*x**2 + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 811371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*k**2 + 639187*k + 44082.\nAnswer: -(k - 22041)*(29*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.78 + 23. Let g = -4.78 - v. Which is the smallest value? (a) g (b) 4 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 153014 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11451, -11394, -11331, -11262?\n\"Answer: 3*c**2 + 48*c - 11502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(88) - sqrt(88) - sqrt(88)))\/(-1*sqrt(16)\/sqrt(2)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5789.59973 to 0 dps.\nAnswer: -5790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/30093839?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -375023351?\nAnswer: 375023354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -6, 0.5, 0.2, -2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 1214 in decreasing order.\nAnswer: 1214, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 3*h + 3*h)*(-27 + 27 + 4*h**3 + 2*h**2).\nAnswer: -16*h**5 - 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000328913 to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*(1 + -16). Suppose q*j = 3*j. Solve 5*g = -j*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*g - 461, 0 = -i - 3*g - 27 + 112. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2613 and 33?\nAnswer: 28743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*z - 20*z + 62*z - 4270 = 49*z for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 33*x**2 + 15*x + 80. Let h be v(-10). Suppose h = 11*z - 1950. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 616217913 divided by -3\nAnswer: -205405971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 19*a + 65. Let c(m) = 12*m + 43. Let p(h) = -8*c(h) + 5*j(h). Calculate p(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-15))\/(2\/10). Let b(r) = s - 8 - 4*r. Let u(y) = -2*y. Determine b(u(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8270 + -8271. Let v = 1354\/13 + -104. Let j = 39 + -38.96. Which is the nearest to j? (a) -0.4 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3 - 371446*o**2 + 88*o + 813 wrt o.\nAnswer: 6*o - 742892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y + 17. Let q(r) = -2*r + 6. Let s(w) = -17*q(w) + 6*z(w). Let v(c) = -5*c**2. Calculate s(v(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -220, -320, -420, -520?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*-29*(-33)\/(-957)*(-134)\/(-3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(108) + 1 + sqrt(108) + (sqrt(108) + -5*(sqrt(108) - (1 + sqrt(108))) + sqrt(108) + 0)**2.\nAnswer: 132*sqrt(3) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2282 and 20?\nAnswer: 22820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5 - 0.9. Let c = v - -0.4. Suppose -w = w - 6. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11010177?\nAnswer: 3, 19, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/827?\nAnswer: -2\/827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2))**39)**(-50))**(-8\/5) assuming x is positive.\nAnswer: x**(-6240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 176, 10476 in descending order.\nAnswer: 10476, 176, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 16870?\nAnswer: -236180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.3 + -4.9. Let p = s + -3.6. Let w = p + -4.7971. Round w to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -302*k + 288*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/3 - (-3)\/(-9). Let f(d) = 2 - 2 + z - 3*d. What is the remainder when f(-7) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 8 - -4) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 1. Let i be t(3). Let f be 11\/5 + i\/10. Solve w - 3*b + 12 = 0, 36 - 5 = f*w + 5*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y + 0*y**4 + 0*y**2 + 5\/6*y**5 + 0 - 10\/3*y**3.\nAnswer: 5*y**3*(y - 2)*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -6*b + 60 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -80500 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 9*c**2 + 9*c. Suppose -13251 = -160*x + 829. Calculate the remainder when x is divided by h(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 11*q + 12. Let v(c) = c**2 - 17*c + 42. Let r be v(13). What is w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26986 and 57640.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1140 and -7\/165.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/3 + 8090*p + 121475\/3.\nAnswer: -5*(p - 4859)*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7528 + 7553. Solve -8 = -2*p - u, -3*p - a = 2*u - 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -212, -448, -604, -668, -628, -472, -188?\n\"Answer: 2*q**3 + 28*q**2 - 334*q + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 42. Let r = 8 - -1. Suppose -r*a = -4*a. What is the tens digit of n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1292*z**3 - 6*z**2 + 6. Let r(n) = 52972*n**3 - 247*n**2 + 247. Determine 6*r(a) - 247*t(a).\nAnswer: -1292*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 7. Let w(a) = a - 1. Suppose 24 = 16*s - 22*s. Let p(r) = s*w(r) + d(r). Give p(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107*9.\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*c + 18, 0 = -2876*g + 2885*g - 27 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 2*i + 0*i - 9*i + 10*i + 4*i + (0 - 10 + 0)*(4*i + i - 3*i) - 4 + 3*i + 4 as m + c*i and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 7:41 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140292 and 56862.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 + 634 - q + 3*q - 4*q.\nAnswer: -2*q + 880","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1463080, -2926182, -4389284?\n\"Answer: -1463102*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n - 74382 = 34659. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-10)\/200*-2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 5*t**2 - 4*t + 4. Let s(l) = l**3 + 6*l**2 + 5*l - 4. Let r(k) = 5*s(k) + 6*z(k). Let f be r(0). Solve 0*c + f*c - 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let d(k) = 4*k - 3. Let x(u) = d(u) - 2*t(u). Let s(r) = -10 - 18 - 12 + 55 - 8 - 6. What is 4*s(y) + x(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38 - 6 + 8*a + a - 19 wrt a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45139 at most as big as -45549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/30*(-10925)\/(-760)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-1*(-3)\/1. Let z be (-10)\/15 + 48\/99. Which is the smallest value? (a) z (b) -1\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -14*d + 5*q + 9, 28 = -2*d - 4*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10459 + 50902. List the prime factors of c.\nAnswer: 3, 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 3*j, 2*j - 10 = -2*o - 0*j. Suppose r - 8 = o*x, r + 5*x + 9 = -2*r. Let c = 12 + -7. Solve -u - 5*g = r*u - 16, c*u + 2*g = 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/47088 and 67\/1127060.\nAnswer: 121722480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/20 - 28*j**2. Let w(a) = 13*a. Calculate w(t(o)).\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 9 - (0 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 15*i**2 - 36*i + 45. Give q(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6149 and 187609.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4 + 18*p - 38*p + 21*p. Give v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + b = 623, -3*b - 790 = 5*c - 8*b. Let d = 168 + c. What is the remainder when 75 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33905 - 4*n**2 - 56696 + 38682 - 44181 - 1240*n = 0 for n.\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 7*v**2 - 4*v + 11. Let b = 56 - 62. Let z be l(b). List the prime factors of -1*57*(2\/6)\/z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) - sqrt(204)*-2))*2 + -5*(sqrt(204)*2 + sqrt(204)))\/((2*sqrt(132)*4)\/sqrt(11)).\nAnswer: -19*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/c**(-1\/8))**(1\/5)*c**(4\/9)*c*c**(-2\/9)*c*c*c**(1\/3)*c**(-1\/5) assuming c is positive.\nAnswer: c**(6229\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 376449763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50308, 65952, 81596, 97240, 112884, 128528?\n\"Answer: 15644*f + 34664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992755 less than -8?\nAnswer: -3992763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**7\/945 - t**6\/108 - 11*t**5\/270 + 11*t**4\/36 - 2*t**3\/3 + t**2 - 115. Determine m, given that v(m) = 0.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35729.\nAnswer: 35729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -635 - -1100252?\nAnswer: 1066314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -576, -37, 6226 in descending order.\nAnswer: 6226, -37, -576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985551603.\nAnswer: 3, 19, 17290379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 355?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*k**3 + 38*f*k**2 - 38*f*k + 303048*k**4 + 9428*k - 2 wrt k.\nAnswer: 12*f*k + 76*f + 3636576*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(1*(-9)\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x - 6*x + 7*x)*(2 + 0 - 1) + 2*x - x - 2*x + (6*x + x - 2*x)*(2 - 1 - 3) + (-x + x - x)*(-1 + 0 + 0))*(x + 4*x - 3*x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149128*d - 149126*d - 8, x = -12*d + 36 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n**3\/5 + 57*n**2\/5 - 24*n\/5 - 48 = 0. Calculate n.\nAnswer: -5\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g*g**(2\/17)*g))**(1\/8)\/((g**(1\/7)\/(g**(4\/7)\/g*g))\/((((g\/g**6)\/g)\/g)\/g*g\/(g**(-2\/13)\/g*g))) assuming g is positive.\nAnswer: g**(-36709\/6188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 1, b: 2, f: 2, o: 1}. What is prob of picking 1 i and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 71, 137, 229, 347, 491, 661?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5915 minus 424148.37?\nAnswer: -418233.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/499 + -38695\/7984. Calculate the common denominator of t and 73\/284.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 5*q + 12. Suppose -4*z = -3*l + 14 + 6, -14 = -l + 5*z. Calculate b(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 43 + 42 = -7*v, 91 = -4*v + 5*y. Let g(j) = 3 + 7*j + j**3 - 2 + 10*j**2 - 8. Determine g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 2*f - 1. Let g be x(-2). Find the second derivative of 2*l + g*l + l**2 - l - 5*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 520*f**3 - 2*f**2 + 4*f**2 - 5*f**2.\nAnswer: 520*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11151603 (base 8) in base 9?\nAnswer: 4477553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6726 + -6153. What is the remainder when 577 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 320410793?\nAnswer: -32041079.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3384 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.873 + -2.373. Which is the closest to 9? (a) -2\/23 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5532 + 5532.094. What is the nearest to 9 in f, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) - 178\/(-14). Suppose -p*k + 4 = -12*k. Let o = -1 - k. Which is bigger: -7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/3)\/(q*q**16) assuming q is positive.\nAnswer: q**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -2372, -136, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3. Let s(l) be the second derivative of l**3\/6 - 3*l**2 - 202*l. Calculate -5*c(j) + 3*s(j).\nAnswer: 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 224 = -2*a - 119, 5*f - 165 = a. Let g = 169 + a. What is the nearest to g in -1, -0.4, -69?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4547 + 4547 - 32759*o**2.\nAnswer: -32759*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 13. Suppose -2*v - 45 = -11*v. Let t be p(v). Let q = 83 + -79. Solve -t*m - q = -10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15534 divided by -3?\nAnswer: 5178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154330608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/11 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from oooohoooooeooeeo.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1258797542?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238060 divided by 23806.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3) + 1\/(-12). Let r = 73 + -71. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -61. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + 0*b**3 - 5*b**3 + (b**2 - b**2 + 2*b**3)*(-5 - 9 + 1) as d*b**2 + h + v*b + u*b**3 and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/154512 and 50\/54723?\nAnswer: 2626704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3, 4, 383, 10, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -178 (b) 1 (c) -2 (d) -4\/15 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 49*y**2 - 224*y + 670. Let d be k(53). Solve -3*i - i + 4*b = 32, -5*b + d = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9034621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.032 + 0.032. Let y = h - 11. Let v = -32.00042 - y. Round v to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-50)\/(-4))\/1*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 82 = -10. Solve -o*n - 5 = 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v**3 + 15*v**2 + 2*v - 2. Let l(i) = -15*i**3 + 14*i**2 + 3*i - 3. Let n(g) = 2*l(g) - 3*o(g). What is the third derivative of n(f) wrt f?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/5 + 130029*f**2\/5 + 1300665*f + 16259875 = 0.\nAnswer: -25, 130079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 + 196. Put 9, -2, n in ascending order.\nAnswer: -2, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122.9 + -123. Is p smaller than -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycvsvrryrcx. Give prob of picking 1 s and 2 c.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/184 and -95\/48.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:49 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a813e3d + 4?\nAnswer: a813e42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -148*c + 16. What is the hundreds digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -988 + 1016 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrrrgrrrrrr. What is prob of picking 4 r?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220 (base 3) in base 6?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 10531?\nAnswer: -10534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9139, -16109, -23079, -30049, -37019, -43989?\nAnswer: -50959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Let v be (1 - h) + -1 - 0. Suppose 7*q + 18 = 74. Calculate the highest common divisor of q and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270\/77 + 37875\/10472. Calculate the common denominator of j and 28\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.7 less than 7961506230?\nAnswer: 7961506174.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x + 2. Suppose 10 = 5*u, 3*m - 4*u + 1414 - 77 = 0. Let j = m + 445. Determine l(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*k + 10, 4*k + 22 = -2*b - 0*k. Let o(l) = l**3 + 5*l**2 + 3*l - 2. Let y be o(-4). Let u(m) = -m**2 + 0*m + 0*m - y*m**3. Calculate u(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (925\/(-111))\/(37\/(-222)*(-27)\/3)\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-413 + 413 + 103*d)*(3 - 3 - 1).\nAnswer: -103*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p + 50 - 4 - 61 in the form i*p + c and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 90*d**3 - 27*d**2 - 27*d - 27. Let k(b) = -13*b**3 + 4*b**2 + 4*b + 4. Determine -27*k(h) - 4*o(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*48\/88?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1053) + (sqrt(1053) - (sqrt(1053) - -1*sqrt(1053) - sqrt(1053))*-5) + sqrt(1053) + 0 + -5)*-5*3)**2.\nAnswer: -2592000*sqrt(13) + 242701200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 439270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -867199256 divided by -968\nAnswer: 895867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -348, 0.2, -5, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57675 rounded to the nearest 10?\nAnswer: -57680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191688 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.05. Let d = 0.05 + q. Put d, 0.01, -2 in decreasing order.\nAnswer: 0.01, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -736 (c) 39 (d) 1\/2 (e) -2\/7 (f) -2\/11 (g) -5\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -4 + 1\/15*o**5 + 0*o**3 - 1\/3*o + 1\/3*o**2 - 1\/6*o**4. Let g(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 1116.\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493434177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -26.5. What is the third biggest value in 2, -1, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + k**3 - 3*k**3 - 4*k**2 + (-2*k + 6*k - 2*k)*(3*k**2 - k**2 + 0*k**2).\nAnswer: 2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31469 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 - 9*y**3 - 3*y**3.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3395871 - -17.1.\nAnswer: 3395888.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) - (-23)\/(-7). Suppose 19*s - 4*s = 300. Let f(z) = z**3 - 21*z**2 + 18*z + 26. Let g be f(s). Put j, 4, g, -1 in descending order.\nAnswer: 4, -1, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -846*r - 329078. Calculate y(-389).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 15*f + 11723 = 13*f. Calculate the remainder when f is divided by 135.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.07, -612\/7, 4.8 in increasing order.\nAnswer: -612\/7, 0.07, 0.3, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -46466461 and -0.5.\nAnswer: -46466461.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 56 - 41 = 13 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75643176.\nAnswer: 2, 3, 7, 450257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 3. Let f(j) = j + 1. Determine -3*f(z) + n(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 276940259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1089 = -2*t, 33*g = 2*t + 38*g - 1099. List the prime factors of t.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 217*w + 217. What is l(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71 + -13.121.\nAnswer: 57.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 30 + 30 = 0. Let y(k) = -k**3 + k - 7. Determine y(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7448, 14432, 21662, 29144, 36884, 44888, 53162?\n\"Answer: r**3 + 117*r**2 + 6626*r + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 6 = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325 + 106. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-1\/10)*j)\/j*j*j\/(j**(-8)*j))**(-3\/2)*j**(-2\/11)*j**(-8)\/j*(j\/j**(-5)*j)\/((j\/j**(2\/15))\/j) assuming j is positive.\nAnswer: j**(-12341\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015.20272 rounded to 1 dp?\nAnswer: 2015.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**3 + 4*n**2 - 6*n - 13. What is y(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 4*h + 224, 0 = -5*v - 2*h + 280. Suppose 14 = n - 3*z, z + 0*z = -4*n + v. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-197)\/13 - 6\/(-39). Let v = i + 20. Solve -v*a + 8 = 2*q - 2, -q + a - 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2636000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 3*b**2 - 7*b - 8. Let n(i) = 7*i**3 + 5*i**2 - 13*i - 16. Let d(f) = 2*n(f) - 5*x(f). List the prime factors of d(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 15. Let v be u(12). Solve -o = v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(12\/(-4))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-741)\/(-45))\/((-112)\/40). Let l = 37\/6 + s. Which is the second smallest value? (a) 2 (b) l (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by (-25 + 26)*9 - -5*7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 19 = 3*i, -10*i + 5*i + 3*u - 27 = 0. Let m(b) = -11*b. Let j(n) = 12*n. Give i*m(a) - 5*j(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 10*k**2 - 4*k + 11. What is p(9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 434687.6l in millilitres?\nAnswer: 434687600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 13 = 4*w. Let y = 21 + w. Suppose 2*p = y*p - 148. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 9 = -6*m. Suppose m*y - 4*y = 60. Suppose h - 21 = -3*v - 0*h, 4*v - 3*h = 41. Solve 0 = 2*r - 3*f - f - y, 4*f = -v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 3*q - 12 + 3 = 0, -281 + 77 = 5*q - 74 - 74 - 71 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35.8 + 2023.311\nAnswer: 1987.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 87, 13, -5 in decreasing order.\nAnswer: 87, 19, 13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -742179.00185 + 742142. Let p = 37 + s. Round p to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 43961 = -3*w - 2*j, 73307 = 5*w - 3*j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = 2*y - 2*i, 0 = -4*y - 2*i + 16. Let x(v) = 4*v + 9. Let o(h) = -3*h - 8. Let z(f) = -5*o(f) - 4*x(f). Let s(b) = -1. What is y*z(u) + 4*s(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*b - 8 + 9 - 167*b - 17 + 358*b - 23*b.\nAnswer: 669*b - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43234 (base 5) to base 15\nAnswer: -d14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/((-18)\/(-10)). Let r = 135 - 97. Let d = r + -36. Which is the smallest value? (a) -3\/4 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*q = 1, -6*k - q + 5 = -3*k. Find p such that -3\/2*p**2 - 7*p + k + 7\/4*p**4 + 19\/4*p**3 = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.76 - -6.\nAnswer: -11.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 180\/3329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -99, 2\/7, -3.1, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2003*q**3 - 482*q**3 - 509*q**3 - 479*q**3 - 449*q**3.\nAnswer: 84*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16233 is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 16 = -5*h. Let z = 23 - h. List the prime factors of (-44)\/z*(-42)\/12.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*z**4 + 305*z + 5*z**5 - 260*z**3 + 3600 + 6975*z + 2180*z**3 + 5560*z**2 = 0. What is z?\nAnswer: -45, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 5*k - u + 5, -3*k - 5*u + 25 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181804351.\nAnswer: 23, 631, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2)*n*n)\/n**(3\/2)*n\/(n*n\/(n**(8\/3)*n))*n\/(n*(n*(n**0*n*n)\/n)\/n) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**3 + 0*l**2 + 1\/6*l**4 + 2*l + 0. Let j(k) = 4*k**2 - 5*k**2 - k**2. Give b(j(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 76 + 1061. Suppose -2*p - 5*c = 2*p - a, 12 = -4*c. Suppose -3*s + 4*q = -2 - p, 81 = 5*s - 4*q. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 8. Let b be (-37)\/5 + 9\/f. Let g = b - -11. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 3*i**4\/4 + i**3\/6 - 3*i**2 - 28*i. Let q(w) = w. What is -k(m) + 6*q(m)?\nAnswer: -12*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*p**4 - p**3 + 612 wrt p.\nAnswer: 528*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 144 - 112 = 0. Suppose r*d - 5 + 1 = 0. Solve 0 = 3*m - d*w - w + 27, -4*w = -2*m - 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 7*t + g, -3*g = 5*t - 6 + 17. What is the nearest to t in 5, -1\/5, -5, 45?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42070 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/273647 and 59\/796064.\nAnswer: 8756704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13))**(-5\/16)\/(y**(-3\/4))**20 assuming y is positive.\nAnswer: y**(1555\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = -4*y, -15 = -2*y - 5. Let j(r) = r**2 + 3*r. What is the units digit of j(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(28) - sqrt(112)\/sqrt(4))\/sqrt(2))\/(sqrt(10)\/sqrt(5)*-4))**2 - (-2 + (-2 + sqrt(700) - sqrt(7))**2*4)) + 5.\nAnswer: -2277 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f**(-11\/5))\/f*f\/((f\/((f\/f**(-15))\/f))\/f)*f**(-12)*f*f\/(f**(-1\/5)\/f*f) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2741411 + -2741410.5342203. Let z = m + -0.4655. Round z to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 393*f - 749*f + 379*f - 115 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939507.\nAnswer: 3, 43, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27200 and 23239.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 361 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/3*6\/4 - 824. Let n be i + 15 - (2 + -2). Round n to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20212 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130042 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(1*sqrt(4)*6).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*8\/1540)\/(5\/35)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (4 - -2)) + 43 + (-38 - -42) + 4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {j: 1, p: 1, n: 1, g: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -55063 (base 9) in base 16?\nAnswer: -8e9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-39)\/(-52)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 336544*-186\nAnswer: -62597184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57001\/11 - -5178. Let b(f) = 9*f + 50. Let k be b(-5). Calculate the common denominator of o and (168\/(-160))\/(6\/k).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*y = -79*y + 3968. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b8b - d6?\nAnswer: 2a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84507 - -13183139\/156. Calculate the common denominator of r and -125\/1638.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 - w + 2. Let q(u) = -6*u**2 + 2*u - 3. Let n(b) = 3*o(b) + 2*q(b). Suppose 4 = 5*s - 1. List the prime factors of n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oko when three letters picked without replacement from {n: 2, k: 1, z: 1, o: 3, g: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*s - 52, 32 = -2*i + 2*s - 6*s. Is (-22)\/i*24\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:12 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (119\/(-14))\/((-1)\/2). Let i = w - 12. Suppose g = o - 4*o + i, o = 1. Solve -h - 4 = -g*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 0.5, 0.32, -0.4, 212?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3 + 1 - 5 + 3 - 2 - 2 + 2 + 2 - 2 + (3 + 1 - 2)*(-6 + 3 + 2))*(-3*d + 4*d + d + (-1 + 5 - 5)*(0*d - 3*d + 6*d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 divided by 101?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + 0 + (8 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1984377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -200212212 (base 3) to base 9\nAnswer: -20785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*m = -18, -5*m + 6*m - 14 = -3*t. Suppose 0 = -2*q - 4*d + 236, 3*q - 231 = -t*d + 117. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 95\/(-19) - (-3 + -2). Solve 2*y + 17 = 3*y + 4*p, c = -3*y + 3*p + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307319071 to the nearest integer?\nAnswer: 17531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 204, 73, 0.977?\nAnswer: 0.977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/8 - 1\/2. Let r = 10 + k. Solve 14 = 2*t + 4*z, -t = -r*z + 2*z + 28 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(7*z**3 + 0*z**4 + 2*z**4 + 7*z**3 + 9*z**4 + 7*z**4 - 6*z**4 + (2 + z**4 - 2)*(0 + 6 - 4)).\nAnswer: -14*z**4 - 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4928*-80*8\/30?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 368 + -1135?\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -0.05 (c) 2\/9 (d) 12\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1463, 2922, 4379, 5834, 7287, 8738, 10187?\nAnswer: 11634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6996)\/954*1\/(8\/(-6))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*q + 17*q + 194*q - 30900. Calculate the remainder when 1235 is divided by q.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 3 (b) -1\/168 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/216*(-4)\/(-14). Let j(b) be the third derivative of 1\/60*b**5 - k*b**4 + 0*b**3 + 4*b**2 + 0 + 0*b. Factor j(d).\nAnswer: d*(3*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let b = 23 + 2. Solve b = -y - h*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112520 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let a(h) = -2*h**2 + 4*h - 2. Suppose s + 1 = -2*d, -4*s + 31 = d - 0*d. Let g be s\/(-18)*2*4. What is g*r(p) + a(p)?\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -577932 or 0.2?\nAnswer: -577932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*a + 106*a = 78 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 2 (b) -339 (c) -18 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 2*i**2 + 7*i + 3. Let m(t) = -6*t**3 - 11*t**2 - 39*t - 16. Let s(o) = 2*m(o) + 11*x(o). Give s(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190470080 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 297881*a**2 + 400035*a.\nAnswer: 595762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.5. Which is the fourth smallest value? (a) o (b) 3 (c) -1\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 7 = 4*h, 4*h = 1074*f - 1070*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**3 - 2*y**2 + 2. Let w = -154 + 156. Give c(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g - 3*g + 3 + 7*g. Let w = -3 - -5. Calculate the smallest common multiple of 11 and v(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*b - 351, 0 = 3*g + 14*b - 13*b - 367. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*j**2 + 51*j**2 + 496*j**3.\nAnswer: 496*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 246 and 0.03.\nAnswer: 7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1191*g**2*x**3 - 1544915*g**2 + 1220*g*x**4 wrt x.\nAnswer: 3573*g**2*x**2 + 4880*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (1 + (1 - 1)). Suppose -p + 13 + 7 = -w*s, -3*s = 4*p - 149. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nev when three letters picked without replacement from vgeanafgvageveeggg.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(8)\/sqrt(4) - sqrt(2))*1*-3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)\/(s\/((s**(-1\/6)\/s)\/s)*s*s))**(-18) assuming s is positive.\nAnswer: s**(477\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 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: 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: What is the tens digit of 912564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5214 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72, -159, -246?\n\"Answer: -87*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248*j**2 - 66*j**2 + 1 - 10*j**3 + 175*j - 483*j - 180*j**2 to the form g + x*j**3 + m*j + z*j**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -406.43793 rounded to 1 decimal place?\nAnswer: -406.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3548, 9, 564, 4 in decreasing order.\nAnswer: 564, 9, 4, -3548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 1737*u - 80 + 29 + 24 to t*u + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1092 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 417 and 356952.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/6 + (-18)\/27. Let k(a) = -3*a + 2*a - 5 - a. Determine k(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssssssvss. What is prob of picking 1 v and 3 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:37 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2800*b - 137*b + 1896*b)*(-2*b - 2 + 2).\nAnswer: -9118*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40373.\nAnswer: 47, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 496 = 490. What is the closest to n in -3, 10, 0.5, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 56*k**3 - k**2 - 2*k + 1. Let a be v(-2). Let l = a + 4507\/10. Find the common denominator of (-1508)\/364*(-1 + 0 + 0) and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*v = 29*v + 98625. Is v a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 103*v**2 + 19*v**3 - 57*v**3 + 34*v**3 - 3*v - 6 - 106*v**2. Let n(c) = -c**3 - c**2 - c. What is -2*n(m) + t(m)?\nAnswer: -2*m**3 - m**2 - m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -20 + -13 + (-350)\/(-10). Sort -4, 127, -3, o, 3 in decreasing order.\nAnswer: 127, 3, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6814 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 3, f: 13}. What is prob of sequence cc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -157 in descending order.\nAnswer: 5, -3, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393 = -100*g + 3393 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038055 rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-2\/39)*k*k*k**(7\/3)\/k assuming k is positive.\nAnswer: k**(70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06167029385 to six decimal places.\nAnswer: 0.06167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 163752 and 266097.\nAnswer: 2128776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1322678 * -0.87\nAnswer: -1150729.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1) + (3 - 3). Let b(y) = y**2 - 28*y + 117. Let c be b(5). Let a(q) = 4*q + c*q + q**2 - 2*q + s. Determine a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 464825 or 0.04?\nAnswer: 464825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -2. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1513.851t to micrograms.\nAnswer: 1513851000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -270 + 380. Let j = 115 - b. What is the third biggest value in 2\/17, j, 13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88 - 16*b**2 + 39 + 18 + 36 - 29*b**2 in the form k + w*b + p*b**2 and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63695631271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-406)\/14)\/((-34)\/272*-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 8*l - 2. Let i be b(9). Let f = 11 - i. Suppose f*c - 32 = -0*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9171 - 8699. Calculate the remainder when 479 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.00107 months in centuries?\nAnswer: 0.105834225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22702011187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 68 + k + 0*k.\nAnswer: -k + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 352, 711, 1074, 1441, 1812, 2187, 2566?\n\"Answer: 2*k**2 + 353*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 66. Let n(r) = 5*r**3 - 6*r**2 + 2*r + 10. What is the tens digit of n(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**4 - 20*n**3 - 15*n**2 + 50*n + 40 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let k(m) = 51*m. Let u(b) = -5*b. Let c(y) = -2*k(y) - 21*u(y). Determine c(z(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let n = 1 + 0. Let a(t) = 2*t**2 + t - 1. Let p be a(n). Calculate the greatest common divisor of y and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = 0. Let a = 2 + d. What is the second derivative of a*u**3 - 3*u + 2*u + 2*u wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*b - 144*b - 4 + 4.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 422914757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10447*q = -4290 + 652004 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8054, -10309, -12560, -14801, -17026?\n\"Answer: c**3 - 4*c**2 - 2250*c - 5801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h + 92 = 18*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13469\/6 - -2253. Calculate the common denominator of l and (-522)\/(-360) - 4*1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 22*h - 525 = 17*h, -4*j - 4*h - 436 = 0. What is the nearest to -0.1 in -1\/5, -4, -0.5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 12:49 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31172, 62374, 93576, 124778?\n\"Answer: 31202*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2653124611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -4, -0.2, 100, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 80 and 71190 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589424 = 7*l + 5169398. Let w = l - 3235718. What is w rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let u = 101 + -67. Let v = u + -32. Let j(x) = -6*x - 5*x - 28*x**2 + 12*x - 9*x**v. Calculate z(j(o)).\nAnswer: -1369*o**4 + 74*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -664398*p**3 - 590030?\nAnswer: -1993194*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p. Suppose 2*a - 6*a + 16 = p. Solve -3*w - w + a = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -8a99dd?\nAnswer: -8a99da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, q: 2, u: 7}. What is prob of sequence qw?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**4 - 68976543*t**3 - t**2 - 143185796*t.\nAnswer: -12*t**2 - 413859258*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -223?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:52 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1277351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhx when three letters picked without replacement from qhhxmxhqhqmmh.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 3:10 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3 - (-1268)\/(-1902)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*p = 2410, -4*s = p + p - 1922. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17700256 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 - 0 - (1 + 10). Solve g - 2*p - 13 = 0, -g - 8 - k = 4*p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(68) - (sqrt(68) - 4*sqrt(68))))**2 - (-4 + sqrt(68) + 3).\nAnswer: -50*sqrt(17) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j - 10. Let o be i(-5). Suppose o*l + 5*l = -44990. Let r = -2659 - l. Round r to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43336 and -3.7?\nAnswer: 160343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from zccczzzzzzzz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193757\/24 + -8072. What is the common denominator of 83\/62 and a?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*o - 37, -o + 12 = 2*m - 3*o. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 0.03018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-6 - (-4 - -3)) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -53752415 at least as big as -53752414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 14*y - 35. Let d be g(-10). Solve 21 = -2*p + 5*p - 3*w, -29 = -d*p + 2*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 16*f + 3. Let l be h(-16). Let b be ((-1)\/(-2))\/(l\/12). Is b\/(339\/111 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-35)\/i**27)**(-8) assuming i is positive.\nAnswer: i**496","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-9)*y*y)\/(y*y**(1\/14))*(y\/(y**(-1)\/y*y))**(1\/6))**(-8\/3) assuming y is positive.\nAnswer: y**(-1892\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/p)**(-3\/2))**(-36)*(p*p**(-1\/2)*p**(-1))**(-38) assuming p is positive.\nAnswer: p**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -4, 34.6, 3\/2, 54 in decreasing order.\nAnswer: 54, 34.6, 3\/2, 0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.7, -0.8, -3\/7, -1\/2, -1.45 in decreasing order.\nAnswer: -3\/7, -1\/2, -0.8, -1.45, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 26*i - 23. What is o(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -5) + (0 - 0 - -1). Let h(g) = -g**3 + 6*g**2 - 7*g + 12. Let c be h(q). Solve 7*b = c*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/13))**(2\/11) assuming p is positive.\nAnswer: p**(32\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) -2 (b) 21 (c) -1 (d) -5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5777550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 20*c. Suppose c*i = 2*i - 66. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94 - 40) + 2 + 1 + 6 + (-1 - -4).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674689.\nAnswer: 701, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*q + 55559 + 235629, 5*n + 4*q = -485301. Let x = 146563 - 317524. Let u = x - n. Round u to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325632780 by 1452.\nAnswer: -224265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 4. Let b(o) be the first derivative of o**4\/4 + 7*o**3\/3 + 3*o**2 + 9*o + 4. Give b(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974?\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/13 (b) 56 (c) -766\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3883 by 3883.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -290, -287, -290, -305, -338, -395?\n\"Answer: -i**3 + 3*i**2 + i - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 5*h + 5. Let r be a(-5). Suppose -r*p - 4*m + 6 = 0, 4*p + 14 = 7*p + 5*m. Let t be (0 - -10)*p\/(-5). Solve 25 = -u - t*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-7)\/(-4) + -2). Suppose -3*g - g = -2*k + 16, 3*g = -3*k - l. Suppose -4*s = -k*s - 168. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 15) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.47? (a) -4 (b) -78 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 83688129.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -257*b. Let p(w) be the first derivative of 11*w**2\/2 + 1385. Determine p(q(y)).\nAnswer: -2827*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 974563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -218, -234, -260, -302, -366?\n\"Answer: -h**3 + h**2 - 12*h - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((7 - 4) + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q. Let a(r) = 12*r**3 - 3*r**2 - 2*r. Let h(v) = -v**2 + 72*v - 1173. Let w be h(47). Give w*m(g) + a(g).\nAnswer: 12*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 - 25*q + 70 = 0. What is q?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, -0.1, -4 in increasing order.\nAnswer: -4, -0.1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -43. Let f = z - 12. What is the greatest common factor of f and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*w - 1578 = -1900 - 2279 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34635974803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5 - 6145*z**4 + 21145*z**3 + 10893505*z**2 + 21699020*z + 10832800 = 0.\nAnswer: -1231, -40, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.74 - 0.06. Let z = 15.5 + t. Which is the nearest to -1\/6? (a) z (b) -4 (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -763bb9 + 33?\nAnswer: -763b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15260, -30348, -45436, -60524?\n\"Answer: -15088*l - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124.2717 + 0.0717. Let x = y - -124. Which is the third smallest value? (a) 3\/8 (b) x (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 33*q = -51. Solve 2*c - 6 = -0*l + 2*l, -5*l - 3*c = -q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/(-460) + (-134)\/3082 - 194\/8\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 19*h**4 - 6*h**3 - 6*h**2 - 21. Let c(o) = 39*o**4 - 13*o**3 - 13*o**2 - 42. Let n(y) = 6*c(y) - 13*f(y). Find the first derivative of n(j) wrt j.\nAnswer: -52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/192 and 41\/72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 s when four letters picked without replacement from {h: 3, s: 1, b: 1, a: 3, g: 6}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203907672.\nAnswer: 2, 11, 103, 317, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.7, -4, -57, 2, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:22 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 25*r + 8. Let z be k(14). Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) - (sqrt(320)*-2 + 2)) + sqrt(320) - (sqrt(320) + -1 + 1))*5 - (2 + -6*((sqrt(720) - -1*2*sqrt(720)) + sqrt(720))))**2.\nAnswer: -9792*sqrt(5) + 832464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 103766859, 103766866, 103766877, 103766892, 103766911, 103766934, 103766961?\n\"Answer: 2*d**2 + d + 103766856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 10*o - 8. Let z be g(-6). Calculate the greatest common factor of 32 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15034\/(-4)*(-1 + 3). Suppose 4*m + 425 = -n, 0 = -2*n + 2*m - 6*m - 842. Let j = l - n. What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.12, 3.4, -3, 1\/8.\nAnswer: -4, -3, -1.12, 1\/8, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33068, 58421, 83774, 109127?\n\"Answer: 25353*n + 7715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 203 = -3*v, -5*v + 8*g + 355 = 3*g. What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/((-42)\/16 - -3). Let n be 4\/(-6) - 112\/u. Solve 1 - n = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1938945 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 255, 2 in descending order.\nAnswer: 255, 108, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*p - 91*p + 126*p + 158*p + 85*p to the form s + k*p and give k.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1\/(-3)) - -8. Sort v, -2, -4 in increasing order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p**3 + p**3 + (-2 + 6 - 3)*(0*p**3 - 4*p**3 + 5*p**3) + (-4*p**3 + 4*p**3 - p**3)*(1 + 0 - 3).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 86\/7 - 4\/14. Suppose 2*w = 2*m - u, -m - 4*w + 22 = -w. Suppose -2*l - 31 = -171. What is the highest common factor of l and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 1. Let u be o(6). Let v(l) = l**2 - 6*l + 10. Let p be v(7). Let x = u + p. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 4*w - 2*w)*(-2 + 5 - 1 + (-3 - 5 + 2)*(-4 + 1 - 1)).\nAnswer: -182*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -17*o + 5. Suppose -o*u + 118 = 118. Solve -6 = -u*m + 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + -11 + 7 + -1 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 148\/28 + 4\/(-14). Suppose 3*t = f - 21, -2*f + 2*t + 22 = -12. Let y be 0\/(z\/(f\/6)). Solve 4*d + x + 19 = y, -2 = 4*d - x + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 times -23214\nAnswer: 9982.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 4. Let i = 31512\/5 + -6302. What is the second smallest value in i, -0.06, h?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 48*m**3 + 27*m**2 - 27*m - 27. Let c(z) = -7*z**3 - 4*z**2 + 4*z + 4. Suppose -42*u + 11*u = -124. Calculate u*o(k) + 27*c(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**2 - 9*d**3 - 59*d**2 + 78*d**2.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h - 22*h = 2550. Let a be 12\/h + ((-1404)\/(-68))\/3. Let v(d) be the first derivative of d**4\/4 - 2*d**3 - 3*d**2 - 5*d - 1. Calculate v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44960916*n**3*t + 3*n**2*t + 1454633*t wrt n?\nAnswer: -269765496*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(55)\/sqrt(1331) + 1.\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1748 - 8.2.\nAnswer: 1739.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (396\/(-77))\/(2\/(-14)). Suppose 3*s - v = p, -3*p + 77 = -5*p + 5*s. Let j = 113 - p. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*g - 7*g + 44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/591?\nAnswer: -1\/591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3 - 10*w**2 - 5*w - 11. Let o(j) = j**3 + 2*j**2 + j + 2. Let l be (-18)\/(-15)*10\/(-3). Let r(i) = l*g(i) - 22*o(i). Factor r(v).\nAnswer: -2*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8350*u**2 + 137*u + 91. Let c(l) = -l**2 + 22. Let o(r) = -4*c(r) + q(r). Find the second derivative of o(t) wrt t.\nAnswer: 16708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-14) - (70\/36)\/(-5)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3. Let d(v) = v**2 + 1. Is d(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - 38*z + 224. Calculate the remainder when l(25) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5651 + -5651. Which is the fourth biggest value? (a) 0.19 (b) -1 (c) -0.3 (d) p (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 14*p**2 - 9*p + 15. Let w be y(13). Suppose 0 = -68*b + w*b + 36. Let u = b - 33. Calculate the smallest common multiple of u and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, i: 2, r: 5, w: 2}. What is prob of picking 1 r, 1 z, and 1 i?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (168\/5)\/((-9)\/(-45)). Let h = k - 111. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(180\/162)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 6*d - 761. Let m be i(0). List the prime factors of ((-82)\/(-8))\/(m\/(-152) - 5).\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 13*g + 16. Calculate t(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*(sqrt(98) + 0)*-1 + 3 + 1*(-3 + 1 + 1 + sqrt(98))))**2.\nAnswer: -560*sqrt(2) + 9816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -18*t**2 + 5*t + 5. Let o(q) be the third derivative of -9*q**5\/20 + q**4\/3 + 4*q**3\/3 + 83*q**2. Determine -8*h(g) + 5*o(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.59 - -6.832. What is the fourth smallest value in -5, q, -2\/15, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = 6*a. Suppose 2*r + 19 = 5*k, 0 = 5*k + r + 8 - 21. Sort a, -3, k, 1 in increasing order.\nAnswer: -3, a, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 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: Which is the fourth smallest value? (a) -3\/215 (b) -2 (c) -174 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-7570019\nAnswer: 3028007.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from {g: 2, v: 4, n: 2, s: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 6*f**2 - 11*f - 48. Calculate r(-8).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n + 10. Does 12 divide v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16579 + 17429. Calculate the highest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 32242770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43929 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 7*s**2 - 21*s + 31. Let l be d(9). Solve -3*t + 4*y - 6 = -l*t, 2*t = -4*y + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -5. Suppose 2*f + 8 = o*f. What is the units digit of 2\/(-1) + f + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(-10) - -3*(-6)\/(-180)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**3 - 3*c**2 + c + 20. Let i(g) = 4*g**3 + 2*g**2 - 19. Determine -3*i(o) - 2*j(o).\nAnswer: -2*o**3 - 2*o + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b + 3. Let o(x) = 3 - 18*x + 2 + x. Let m(r) = -10*d(r) + 6*o(r). Calculate the lowest common multiple of m(-1) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 33*t**2 + 793*t - 11385.\nAnswer: -(t - 45)*(t - 11)*(t + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 209623189 minus 75?\nAnswer: 209623114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 - 5*d**3\/3 - 7*d**2\/2 + 9*d - 6. Let v be g(6). Let l(i) = i - 2. Let n be l(v). Solve u - 1 = n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -22*f**2 - f + 1. Let x(k) = -k**2 - k. Let i(z) = j(z) - 3*x(z). Let m be i(-1). What is the common denominator of 71\/6 and (-177)\/m + (-6)\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -258 + 4730. Suppose -35*l + 31*l = 2*o - 6868, -2*o + 8583 = 5*l. Suppose l - i = -3*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 168 - 1c54?\nAnswer: -1aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000095522638 to 6 dps.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/30 - h**4\/6 + h**3\/2 + 254*h**2. Suppose 5*n - 3*n + m = 6, 2*m = 4. Determine r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04272 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 8 - 1)*(3*c**2 + 2*c**2 - 4*c**2)*(0 - 3 - 3) to z + f*c**2 + m*c and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 8325285.\nAnswer: 1\/1665057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -415 + 414.99999817. What is p rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1457450 = -111*l + 106*l, 291486 = l - 5*j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94102483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89646 is divided by 137.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 + 46 + 56 - 164 - 27569*i to x*i + t and give x.\nAnswer: -27569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 1396*z**3\/7 - 2372*z**2\/7 - 2656*z\/7 + 3632\/7 = 0. Calculate z.\nAnswer: -454\/349, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + -1 + 6 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 849551\/434 + -11747\/6. Let b = z - -2\/217. Let n = 1 + -0.98. What is the smallest value in n, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40318 and 1216.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 20326 = 3*l - 4*l, w = 2*l + 6767. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 95*d. Let f(n) = 54523*n. Calculate v(f(q)).\nAnswer: 5179685*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 8*w - 24. Let d = -4 - -6. Let i(g) = d*g**2 - 3*g**2 - g**2 - 2*g - w*g. Give i(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**2 + 17*p - 1 + 154*p - 169*p. Suppose 0 + 4 = 4*f. Let z be b(f). What is the highest common factor of z and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 1083 = -5*z. Let n = z - 25. Calculate the remainder when n is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2696, 3, -3, 0 in ascending order.\nAnswer: -3, -2, -1, 0, 3, 2696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -48, -5.\nAnswer: -48, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166531\/6 or 27755?\nAnswer: 166531\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylzzcczzzzzzlzll. Give prob of picking 2 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 28. Suppose a = 4*a - 15. Suppose n + 72 = a*n. Solve -n = -2*h - 0*t + 3*t, d*t - 4 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322625842 less than -0.5?\nAnswer: 322625841.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.74825 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 2. Let v(n) = -n. Let o(q) = p(q) - 2*v(q). Suppose 3*t = -2*d - 18, -2*t + 5*d = t + 18. What is o(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15432628151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 11. Suppose 26 = -g*t - 14. Let w(a) = 4*a**2 + 2*a - 1. Let r be w(1). Let n(s) = -11*s**2 + 8. Let x(z) = -7*z**2 + 5. Calculate r*n(p) + t*x(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 17*x**2 + 15*x - 15. Let d be (-11)\/(-11) - 19*5. Let u = -110 - d. Let k be v(u). Solve 4*n - 8 = -4*b, 0 = 3*n + k + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -36) + -20 - 53.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47069226 divided by -27098?\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-555)\/(-190))*8\/6\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7316 + 4589. Which is the biggest value? (a) 2 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 0 + (-6 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1750 and 237300.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80927 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.2, -632, 134, -0.5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:32 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-77)*(-15 - -4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/2816618?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2094*w + 2176. Determine p(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 47 = -4*l, -6*y = -y - 5*y - 3*y - 965*l + 7729 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10451 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1445 - 9?\nAnswer: 143b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 6. Let d be x(12). Suppose 4*c - d*z - 152 = -2*z, -3*c + 4*z = -119. Find the second derivative of 4*i**4 - 34*i + c*i + i**4 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6 and -49\/153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29755, 58001, 86247, 114493, 142739?\nAnswer: 170985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 16 + 1. Let d(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - z**3\/2 - 5*z**2\/2 - 12990*z. What is d(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202998701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.4832 and 14.\nAnswer: 62.7648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1412*t + 173*t**2 - 1410*t - 11*t**2.\nAnswer: 162*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/9 - 12890*a\/9 = 0.\nAnswer: -6445, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k - 12. Calculate u(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 0*g**2 - g**4 - 8*g**4 + (-7*g + g + 2*g)*(-6*g**3 + 3*g**3 + 4*g**3) + 3*g**2 - 3*g**2 + 2*g**4.\nAnswer: -11*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:18 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 11*k + 102 = 0. Let d be -2 - -18 - -1*1. What is the greatest common divisor of d and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -12, -20, -1770 in ascending order.\nAnswer: -1770, -20, -12, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 7, 5, -5 in descending order.\nAnswer: 102, 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 5*k - 1. Let d be m(6). Let u(q) = -38*q - 15. Is u(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 4*a. Suppose r + 11 + 0 = -4*m, -5*r + 2*m = -11. Let h = a + r. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2763 - 2760. Let j = 79 + -239\/3. What is the nearest to 2 in v, -0.3, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2360 and -107\/420080.\nAnswer: 420080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*j + 59*j + 82*j)*(-5 + 3 + 1)*(-3*j**2 + j**3 + 3*j**2 + (3*j**2 + 3*j - 3*j)*(-1 + 1 - 2*j)).\nAnswer: 270*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + k + 3. Let r(f) = -f**3 - f**2 + 6*f - 3. Let c be ((-6)\/18)\/((-1)\/6). Suppose 4*m = -14 + c. Let v be r(m). What is q(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72360100 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -36. Let d(o) = 4*o + 10*o**3 - 3*o**3 - 6 - w*o. Let a(y) = y**3 - y - 1. Calculate 6*a(l) - d(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10000000001101100100111?\nAnswer: -10000000001101100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.68 - 24. Let j = w - -14.32. Let o = -14.3 + j. What is the third smallest value in 0.1, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -110, 314, 1\/4, 159, -4, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 633096 and 316548?\nAnswer: 633096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -208 * -299.14.\nAnswer: 62221.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(135))\/sqrt(5))\/(-3*sqrt(441)*2 - sqrt(441)).\nAnswer: -2*sqrt(3)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-4)*1)\/((-34)\/(-51))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18867 and 1735?\nAnswer: 32734245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 4 = 2*u + 23*l - 27, -18*l + 66 = 4*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82\/3 - -677\/24. Let b = z - 93\/8. Which is smaller: b or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1 + sqrt(1088) + 2 - sqrt(1088)) + sqrt(1088))*3)**2 + -5.\nAnswer: 144*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1886*c + 110*c**2 - 6 - 664 + 533 + 7154 + 2095. Let l(y) = -37*y**2 - 629*y - 3037. Let f(j) = 5*k(j) + 14*l(j). Factor f(q).\nAnswer: 2*(4*q + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - (-3 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2. Let i(b) = b**2 + 4*b + 1. Let h be i(-4). Let c(a) = -2*a**2 - 2 + 1 + h. Calculate t(c(f)).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10141836 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 + (10 + -7 - 9 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 30*h**3 - 4*h**2 - 20*h + 23. Calculate s(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -168648 + -2?\nAnswer: -168651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4*i + 4. Let f be w(4). Find the second derivative of -f*c + 0*c - 3*c**2 + c**2 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/20 - j**4\/4 + 9*j**3\/2 + 12*j**2 + 56*j. Let a be g(-7). What is the highest common divisor of a and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 58 = 16*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fccff. What is prob of picking 2 c and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.091*2801.\nAnswer: -254.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*d - 3348, -64*w - 5*d = -66*w + 6750. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 7. Let s(o) = -40*o - 9. Let y(w) = -s(w) + 2*t(w). What is y(2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggua when four letters picked without replacement from {u: 1, a: 2, g: 4, s: 1, e: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 + 19*v + 35. What is r(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 384988 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: In base 10, what is -4 - 1770?\nAnswer: -1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21508333\/12 - 1793430. Let n = 1068 + z. Let b = 1\/4 + n. Put b, -3, -1\/5 in increasing order.\nAnswer: -3, b, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -34, -0.2, -1, 0, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z - 2*c + 1886, 0 = 4*c + 8. Is z a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 18*s + 145. Calculate w(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821927 is divided by 10531?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 1:28 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 6*v + 5. Let u = -248 - -253. Suppose -3*b + 6*p - 2*p = -146, 4*b + u*p - 174 = 0. What is the remainder when b is divided by h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(4\/9))\/x**(-1\/9))\/(x\/x**(3\/5)*x\/(x*x**5\/x)) assuming x is positive.\nAnswer: x**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111110111100101 (base 2) to base 7.\nAnswer: 1444426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39 (b) 13 (c) -2\/5 (d) -1\/5 (e) 1\/2 (f) -28\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3453 + 3453.0001557. What is a rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 2, b: 3, k: 1, p: 3, g: 1}. Give prob of picking 2 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*o - 503*o + 24 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18255285*f**3 + 3496333?\nAnswer: 54765855*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 19. Let x be s(-3). Let v = 22 + x. Calculate the smallest common multiple of 2 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) 0 (c) 0.1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.48 and 10.95?\nAnswer: 38.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 5, -2, -4 in descending order.\nAnswer: 135, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -2*o + 595. Let z = o + -140. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/33)\/(k**(-15)*k)*k*(k*k**5)\/k*k*k\/(k\/(k\/(k*(k\/k**(1\/19))\/k))) assuming k is positive.\nAnswer: k**(13238\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*z = -105*z - 10. List the prime factors of z*335*(-12)\/(-30).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*sqrt(51)\/sqrt(3)*-4 - (sqrt(68)\/(sqrt(44)\/(sqrt(55)\/sqrt(5) + sqrt(11))))**2).\nAnswer: -20*sqrt(17) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*m + 14 + 97, 5*q - 583 = -3*m. Suppose 5*y + d = 599, d - q = 76*y - 77*y. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1545 + -1545. Let j(k) = 5*k + 4. Let h(s) = -14*s - 11. Let y(v) = 4*h(v) + 11*j(v). Determine y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4065 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - (-71 + 6) - ((-1 - -7) + 1)) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 0*j**3 - 2\/5*j**5 - 2*j**2 + 0*j + 3 + 0*j**4. What is the second derivative of x(w) wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73662624 divided by -366?\nAnswer: -201264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*d**2 + 3*d = 0 for d.\nAnswer: 0, 1\/72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 161.07 + -4368149\nAnswer: -4367987.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r + 5*u + 20, -3*u = -9. Let t = -43 + 52. Calculate the remainder when r is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvyyvvyvvvvvyvv. What is prob of sequence vvy?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -112820 and 5?\nAnswer: 112825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -2\/11, 1\/2, -162, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1)*v*v*v\/(((v**(-3\/4)*v)\/v)\/v))\/(v**0)**(2\/3) assuming v is positive.\nAnswer: v**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10425 - 10417. Let q(v) = -v**2 + 20*v - 7. What is the remainder when q(17) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:59 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 h when four letters picked without replacement from {h: 7, t: 6}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42277.\nAnswer: 67, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6302920 divided by -20\nAnswer: 315146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 116\/87 - 2*1. Let i = -1518 - -1513. Which is the closest to f? (a) -4 (b) 3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/41 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 28*h**2 - 27*h + 13. Let r be d(27). Suppose -j + 208 = 3*j. What is the greatest common factor of r and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -16*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49069 to two decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21935*c + 21943*c - 2 - 642*c**2 + 2.\nAnswer: -642*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 8*q**2 + 4*q + 6. Let p be c(-6). Let o be 2\/(-4)*1*-12. What is the greatest common factor of p and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432\/87335 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1749039 divided by -7\nAnswer: 1749039\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61984 * 0.6.\nAnswer: 37190.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129822 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.01 + 4. Let i = -2.99 + l. Sort 1, i, 2 in descending order.\nAnswer: 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2570438, 2570443, 2570452, 2570465, 2570482, 2570503?\n\"Answer: 2*n**2 - n + 2570437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33081604 to the power of 1\/2, to the nearest integer?\nAnswer: 5752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/16)\/(3\/(-2)). Let i = x + 0. Let r be -4 + ((-854)\/(-175) + -5)*-30. Which is the closest to 0? (a) i (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 u when four letters picked without replacement from {q: 1, j: 2, h: 3, e: 6, c: 1, u: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4666*n**2 + 4561*n**2 + 3*n**3 - 9227*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 8449659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 + 3*q**2. Suppose 2*h + 2*j = 26, -h - 3*j + 5 = 2*j. Let s be 2*2\/(-12) + 185\/h. Suppose 0 = -3*a - 6 + s. Determine l(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 8*o - 900. Suppose o = v + 21. Suppose -2*r + v = -129. What is r rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkgkkkkxkgkgxk. Give prob of picking 3 k and 1 g.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 16976 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.128094+15.283\nAnswer: 15.154906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**8\/20160 + h**7\/840 + h**6\/180 + h**5\/30 + h**2. Let f(c) be the third derivative of m(c). Let y = 43 - 46. Give f(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 3, y: 1, k: 1, x: 5, t: 1, i: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 59 + 5453*z + 6184*z as v*z + i and give v.\nAnswer: 11637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 2:38 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4987 = 25. Let x = a + 556. Let u = -172 - x. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 60. Let d(k) = -3*k**3 - 11*k**2 - k - 2. Let f be d(-4). Calculate the remainder when 21 is divided by m(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*1805\/(-4332)*219\/5.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26947773 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62, 193, 408, 701, 1066, 1497, 1988, 2533?\n\"Answer: -p**3 + 48*p**2 - 6*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/28 and 27\/64140044.\nAnswer: 448980308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*a - 2. What are the prime factors of (-2)\/4*(-4 + a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.473932 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 5652099.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17205 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3. Let r = 4.3 - 0.3. Let x = -6 + r. Which is the nearest to j? (a) -3\/7 (b) -3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8695*n**4 + 522*n**3 + n**2 - 41405225.\nAnswer: 34780*n**3 + 1566*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + -4 + (-10)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 215?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cffffffifcfffffc. Give prob of sequence fffc.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 97564.77 kilometers?\nAnswer: 97564770000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*y = -20*y - 401 - 479 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6984000 to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -36. Suppose o*z - 7*z - 5*x + 12 = 0, 5*z - 2*x - 15 = 0. Suppose -5*n = -s + 25, -s = -z*n + 8*n + 25. Solve s*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -27*d + 15*d + 3 - 2. Let x be o(3). Let w = x + 35. Put w, 5, -4 in increasing order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7268 and 21988?\nAnswer: 1737052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from hqhjffhpfjfjcfcjhpch.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:23 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - 360. Suppose 5*r = -5*c - 0*c, 0 = 4*c - 5*r - 27. Suppose 4*a + 5*f - k = 3*a, 0 = -a + c*f + 58. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 24*j**2 + 21*j + 17. Let b be k(22). Let r = b + 885. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + 2 - (-545 + 544)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 15*(-27*(-29)\/3 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.61508ml in litres?\nAnswer: 0.00161508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275*g**4 - 62*g**3 + 124048*g wrt g.\nAnswer: -3300*g**2 - 372*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8651.362 millennia?\nAnswer: 865136.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236755000 rounded to the nearest one million?\nAnswer: 2237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 6*t**2 - 6*t + 6. Let a be v(-7). Let o(s) = s**3 + 2*s**2 + s. Let x be o(a). Suppose x = 5*y - 208 - 27. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 24. Let w be 17 - (-4 - (-2 - 6)). What is the lowest common multiple of q(w) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:41 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.413 and 1.5.\nAnswer: 32.1195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 6*j**2 - 24*j - 48. Let b be l(-8). Solve 14*f = -b*f - 150 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 12*l + 0*l - 3*l - 28 to x + p*l and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 426, 437, 456, 483, 518, 561, 612?\n\"Answer: 4*n**2 - n + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15692973 is divided by 7846482?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 8. Let u(b) be the first derivative of b**2\/2 - 7*b - 62. Calculate 5*o(g) + 6*u(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313 = 63*q + 1132 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5248*s**3 + 7*s - 7. Let m be n(1). What is the highest common factor of m and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.1 + 3. Let k = 0.1 - -0.3. Sort k, c, -2\/9.\nAnswer: -2\/9, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2871*v = 2176*v + 16680 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-5)\/(-30)). Let q be (-29)\/(-7) + (-12)\/4. Factor 0 - 4\/7*o**p + q*o - 4\/7*o**2.\nAnswer: -4*o*(o - 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/1300)\/(((-2916)\/72)\/((-45)\/(-3))).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35232414893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 12 - -17) + -7 + (5 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16656939 and 18?\nAnswer: 33313878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2797560 - -2797745.000575. Let j = r - 185. Round j to five dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**6*a))\/a)**(-25)*a**(2\/7)*a**(-3) assuming a is positive.\nAnswer: a**(1206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.009 in -16, 3, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*-1*sqrt(76) - (sqrt(76) + sqrt(76) + -1 + 2))**2 - ((sqrt(19) + (sqrt(304))**2)*-3 + -5 - (-1 + sqrt(19) + -1 + -1)).\nAnswer: 4*sqrt(19) + 914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 587 = -975. Does 70 divide 10\/(3 + -8) - b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10.46. Let s = 31.54 - z. Let b = s - 27. Put -0.02, b, 2 in descending order.\nAnswer: b, 2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 2*g, g = -4*o - 0 - 11. Suppose -15*j = -9*j + 3150. Let v be (-2 - -3)\/(15\/j). Sort v, g, 3 in increasing order.\nAnswer: v, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7528810651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*f = -2*f + 42, -3*y + 42 = 5*f. Suppose -4 = -191*o + 193*o. Let w(h) = h**3. Let b(v) = 5*v**3. Give o*b(r) + y*w(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33 (b) 23 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, -4 in ascending order.\nAnswer: -4, -2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 2. Let g(v) = -3*v**2. Determine j(g(u)).\nAnswer: 36*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 810641*m**2 - 810635*m**2 - 27*m + 29*m + 136*m**3.\nAnswer: 136*m**3 + 6*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 56*g + 299. What is a(-3)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**2 + 3*w + 3. Is 27 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88255, -177140, -266025, -354910, -443795?\nAnswer: -532680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 46 = -4*a, -4*q + 27 + 5 = -4*a. Let i be ((-693360)\/27)\/(1\/(a\/4)). Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74655 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.6, 12\/13, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1680 (base 10) to base 12.\nAnswer: b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1022 - 1034) + (-230)\/(-19).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:42 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3013\/12341 - -10\/287. Let f be 20\/(-1376)*((-4383)\/15)\/3. Let m = j - f. Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7689337195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**3\/5 - 124416*y**2\/5 - 128969622*y + 1290193932\/5.\nAnswer: -6*(y - 2)*(y + 10369)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, o: 3, f: 7}. What is prob of sequence olo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 20*v**2 + 23*v + 77. What is f(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2346 to three decimal places.\nAnswer: 0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -97. Let r = 2 + -1. Which is the biggest value? (a) r (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -75*x**2 + 15\/4*x**3 + 0 + 0*x - 13\/8*x**4 + 11\/40*x**5. Let f(u) = 0. Calculate u.\nAnswer: 1, 15\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 39*v - 11880.\nAnswer: (v - 120)*(v + 198)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:44 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/21*(-1)\/1. Sort 3, s, -2\/17.\nAnswer: s, -2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/9, -2\/71, 132 in descending order.\nAnswer: 132, 2\/9, 0.1, -2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196447 (base 15) to base 9.\nAnswer: 2283684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474642 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 3*k. Calculate q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1610584\/1669 + -965. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 30*k + 25*k - 10, -2 = 2*z + k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4197 and 526752879?\nAnswer: 4197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 0*l**2 + 3*l**2)*(-l + 88*l**3 + 130*l**3 - 11*l**3 + 5*l**3).\nAnswer: -636*l**5 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12014, -23470, -34910, -46328, -57718, -69074?\n\"Answer: x**3 + 2*x**2 - 11469*x - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snnvnshnsnvvsn. What is prob of picking 1 n and 3 s?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -19, -8, 0 in descending order.\nAnswer: 0, -3, -5, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*j = 31, 27*d = -3*j + 274 + 308 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 - 271. Let o be (-4)\/((m\/3)\/(12\/18)). Let h(c) = 0 - 3*c**2 - 4 - 4*c - 2*c**2. Let n(f) = -f**2 - f - 1. Determine o*n(y) - h(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (sqrt(1152) + 1)**2)*1.\nAnswer: -1153 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 757?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 10*o**2 - 15*o + 13. Calculate f(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 16*z + 7*z + 0*z**3 - 2*z**3 + 52 - 24*z**2 + z + 6*z = 0.\nAnswer: -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/6 of a week?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2695, -5423, -8181, -10969, -13787, -16635?\n\"Answer: -15*m**2 - 2683*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 + 135*k**3 + 340*k**2 - 480*k.\nAnswer: 5*k*(k - 1)*(k + 4)*(k + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**5\/120 + q**4\/6 - q**3\/6 - q. Let h(c) be the second derivative of v(c). Differentiate h(s) wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**16)**(-8)*(g\/((g**(2\/43)*g)\/g))**(-1\/10))**(6\/5) assuming g is positive.\nAnswer: g**(-165243\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 + 5*y**2 - 20*y + 5. Let r(x) = -4*x**3 - 6*x**2 + 19*x - 4. Let o(k) = -5*q(k) - 6*r(k). What are the prime factors of o(6)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -18915?\nAnswer: -9457.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*b = -263552 + 250784 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 6032 = 3*a - 11209, 5*a = 3*v - 8653. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164490553?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from hhthchctc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5021.008mm in kilometers?\nAnswer: 0.005021008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14440 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 10. Let i = 22 - 22. Sort i, 1, d in descending order.\nAnswer: 1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 1, c: 1, p: 4, s: 4, e: 5}. Give prob of sequence je.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-1)*358\/(-11277).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157175 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 38. Suppose -3*k - s = -29. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59973 - -49477739\/825. Find the common denominator of -71\/75 and n.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4105113?\nAnswer: 3, 31, 37, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13668246 to the nearest integer?\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46841363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 4\/9 (c) -2\/3 (d) 0 (e) 0.2 (f) -48.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) - (6129\/(-54) - -81).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -4, -12 in descending order.\nAnswer: -4, -12, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22560 and -101\/1462380.\nAnswer: 549854880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1317, -4, -1\/3, 0.4, -89 in decreasing order.\nAnswer: 0.4, -1\/3, -4, -89, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 64. Suppose 7*w - 14*w + 28 = l. Suppose w*b = 2*b + 236. List the prime factors of b.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 1, d: 2}. What is prob of sequence dbde?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - a)*(-1 + 2 - 2) - 4*a + 4*a - a + 0*a + 0*a + a + 4*a - 4*a + 2*a + (-3*a + 6*a - a)*(5 - 3 - 1) + 0*a - 4*a + a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 + 2*o**2 - 2. Let f be z(2). Suppose 2*l - f = -2*v, 5*v - 2*l - 47 = -0*l. What is the greatest common divisor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, l: 3, m: 4}. What is prob of sequence lom?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - 237*n - 4027. Calculate f(-98).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 56475239?\nAnswer: 56475238.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -15*y**2 - 4*y + 5. Suppose 0 = t - 8*t + 7. Let o(s) = -s**2 - s + 1. Let i(n) = t*x(n) - 5*o(n). What is the second derivative of i(f) wrt f?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/106? (a) 0.4 (b) 3 (c) -0.1055 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3252316 and 41\/2136055?\nAnswer: 504108980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - k + 0*k)*(0*k + 7 + 0*k - 2*k) in the form w*k**2 + d + y*k and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7293816 divided by 7293816?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55720*o = -55430*o + 10440 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 347635057 to the power of 1\/2, to the nearest integer?\nAnswer: 18645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-219063*z**2 - 617*z**3 + 219063*z**2)*(z**2 - 2*z**2 + 2*z**2).\nAnswer: 1234*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/8)\/s**(-8) assuming s is positive.\nAnswer: s**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mftxc. What is prob of picking 1 m and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -430.264 - -432. Let j = 0.264 + t. Put 5, 11, j in increasing order.\nAnswer: j, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -36*r - 23. Let y = -16 + 21. Let c(j) = -24*j - 15. Let i(n) = y*x(n) - 8*c(n). What is the units digit of i(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**6\/10 + 3*w**3\/2 - 5*w. What is the second derivative of k(l) wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 7709820.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.2 - -9.200124. Round q to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178181 and 730963.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653006 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/10)\/((-2)\/(-10))*(-101416)\/25354.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1 + 3*c + 2*c + 2*c - 4*c. Let s be k(0). Let o be 9 + 2 + 0\/(1\/s). Calculate the highest common divisor of o and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1418236227 to the nearest integer?\nAnswer: 37659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = p, -4 = 5*p - 4*p + 4*t. Suppose -5*l = -p*l - 1465. Suppose l = 3*d - 2*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3887\/2 + 1944. Find p such that 0 + 0*p**3 - 3\/2*p**2 + c*p**4 + p = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*j**2 - 1)*(-124 + 124 - 56*j)*(167 + 106 - 209) to m*j**2 + l + d*j + p*j**3 and give p.\nAnswer: -7168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -8, -0.24, -1019, 24 in decreasing order.\nAnswer: 24, 0.4, -0.24, -8, -1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -22. Suppose 7*n - 15 = 2*n. Suppose n*v = -2*c - 10, -4*c + 2*c = 10. Is v > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34456230 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56875994 - 665.\nAnswer: -56876659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-6)\/(-21) + 44\/(-7). What is f rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58048454 - 3454\nAnswer: 58045000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85323 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a millennium in years?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28619941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -1 - (101 - 104) - (0 + 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 426343.6 years?\nAnswer: 4263.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.043 and 7.\nAnswer: 7.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(((750\/(-180))\/(-25))\/((-1)\/8))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(-21)\/56*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**4 + 2*b**3 - 4*b**2 + 5. Let f(p) = -p**4 + p**2 - 1. Let t(q) = -2*q + 9. Let z be t(2). Let j(c) = z*f(c) + o(c). Factor j(s).\nAnswer: s**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5262 - 5300. Is n < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*y + 6*y**2 + 13*y**2 + 1195*y.\nAnswer: 19*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j**3 + 3*j**2 + 7. Let r(a) be the second derivative of -3*a**5\/10 - a**4\/6 - 2*a**2 + 27726*a. Suppose 3 + 3 = 2*b. Calculate b*s(h) + 5*r(h).\nAnswer: 3*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 35 - (18 - (-3 - -7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1527 is divided by 318.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (10*2\/((-8)\/(-260)))\/(3\/186) a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13652812 and 2.54?\nAnswer: 13652814.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1550.546 to the nearest integer.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*x - 99*x - 16 = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 22*d**2 + 49*d + 192. Let a be s(-20). Let u(o) = -o**3 + 11*o**2 + 14*o - 9. Determine u(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 3*r**2 - 2*r + 2. Let z be v(-2). Is ((-9)\/(-6))\/(-3)*z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 13*o - 11*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**2*x**3 + 4*c*x**3 - 9*c - 648*x**3 wrt c.\nAnswer: -12*c*x**3 + 4*x**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1535 + 1536. Let z be ((-120)\/50)\/(0 + (-2)\/5). Solve -1 = z*y - c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10075*v - 86569 + 21416 - 378147 = 0 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60563 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:45 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65152?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2987 + -0.1387. What is the closest to c in -2\/9, -0.01, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 + (-7 - -7) + 2 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 191*h**8\/56 + 57*h**4\/4 + 22*h - 5. What is the third derivative of t(b) wrt b?\nAnswer: 22920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/((-1*sqrt(72))\/sqrt(9)))\/(sqrt(4)*2*-5 - (sqrt(100) + 1*sqrt(100) - sqrt(100))).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -107, -145?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.13, 7, -3, -13 in ascending order.\nAnswer: -13, -3, 1.13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*t - 76 + 19*t**2 + 76 wrt t.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from waaozaswwwssws.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-20))\/((-2)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millimeter in micrometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbccbbbbbbbbcbbbc.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 53974720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (-12551)\/770 - 42\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = g, -4*g = -5*k + 13 - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25280 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1 - (5 + -3))*-9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 547\/1 + (0 - -1). Suppose 5*b - g = -28. Let n = b - 219\/2. Find the common denominator of n and -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-12)*3\/45\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5\/2 (b) -0.2 (c) 5 (d) -13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3*p**(-4)*p**(1\/9)*p*p\/(p**(-6)\/p))\/(p**0*p*p*p\/p**3)**25 assuming p is positive.\nAnswer: p**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-7) - (-124)\/2. Let s = k + 37. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + 42420?\nAnswer: 42466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 3:01 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 + (-1 + 4 - 1)*(-1 + 1 + 2))*((-1 + 2 + 1)*(-2*c + 0*c + 0*c) + c + c + 0*c + 4*c - c - 2*c + 4*c - 3*c + 3*c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/61? (a) 0.08 (b) 16 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10620 is divided by 2119.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a week?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(6 - 10)*235\/4. Let h = 245 - r. What is the remainder when 149 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4355859 is divided by 2045.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25685939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9833669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 - 2*r**2 - 6*r - 2. Let f be s(5). Suppose p - 4*z = f, -p + z + 299 = -0*z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24\/11, 19\/18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 245*w + 244*w - 4 + 5*w**2. Let i be z(2). Let q(l) = -l**2 - 2*l + 3. What is q(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 26. What is the third smallest value in 5, g, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126175 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142332902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3229)\/(9 - (13 + -6) - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-248)\/93)\/((-16)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1325, 2650, 3975?\nAnswer: 5300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-20)\/(-4))*3\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-51) + 252\/(-833)*133\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/6 - r**3\/3 - r. Let x(m) be the second derivative of -m**4\/3 - m**3\/2 + m - 84. Give 5*i(f) - 3*x(f).\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 948*q**2 + 1342*q**2 + 2*q.\nAnswer: 394*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.4 + 8.42735. Let y = -0.0329 - a. Let i = -0.06 - y. Round i to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 8*n**2 + 3*n. Let s be l(8). Calculate the common denominator of (-746)\/(-112) + 3\/s and 55\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914917051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36\/23 - -3\/46. Which is the fourth biggest value? (a) 1\/3 (b) s (c) 1\/5 (d) -4.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.047 + 0.037. Let v = 0.99 - g. What is the second biggest value in v, 32, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -22.8. Let p = y - -0.8. Let u = 0.44 + -0.04. Which is the nearest to 0.1? (a) u (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*h - k - 10, -30 = 2*h + 48591*k - 48588*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccxccc. Give prob of sequence cx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 86*u + 256. Give f(-6).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 7*p - 13. What is f(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/12 + 7*s**3\/6 + 3*s**2\/2 - 3*s. Let n be c(-7). What is the second derivative of t**n - t**3 + t**5 - t wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440458 and 1038?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160897*f**4 + 48701*f wrt f?\nAnswer: 1930764*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 6de0c?\nAnswer: 6de0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -45. Solve i = -4*d + 7, 0 = i - 0*i - d + w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 + 15 = 0. What are the prime factors of 4\/18 - w\/(486\/44646)?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m*n**3 + 2*m*s - 795*m + 3*n**3 - 342*n**2*s - 14*s wrt n?\nAnswer: 9*m*n**2 + 9*n**2 - 684*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620340 and 1100?\nAnswer: 34118700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 4373 + 4363 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336373, -336221, -336067, -335911, -335753, -335593, -335431?\nAnswer: -335267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 6. Let s be t(-2). Factor -33*q**4 + 18*q**s + 4*q + 13*q**4 + 2 - 4*q**3.\nAnswer: -2*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-63) + 54\/14. Suppose 3*s - 4 = 11. Let d(p) = 2*p. Let w be d(s). Solve 2*k - w = 0, -y*k = -2*b + 5*b - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by -877804\nAnswer: 169\/877804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 10*o**2 + 23*o + 158. Calculate w(-6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/30 + -2*(-820)\/2640\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4565?\nAnswer: 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28)*(-304)\/38)\/(414\/(-63))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105a3c (base 14) in base 4?\nAnswer: 2013021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 113 = 5*q, 3*v - 6*q - 363 = -9*q. What is the remainder when v is divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/12 + 15\/(-3) - (-20 - (-62745)\/3195)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o**3 - 49*o**2 - 48*o. Let b(w) = 7*w**3 - 28*w**2 - 24*w. What is 7*b(t) - 4*h(t)?\nAnswer: t**3 + 24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*a + 22 - 22 as u*a + m and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.83 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*g - 43 = 0, -5*h - 4*g + 71 - 1 = 0. Suppose -1 = -y + h. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(187))\/sqrt(11).\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*(-15)\/20. Which is the third smallest value? (a) -7\/2 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3034*w = -18735 - 87455 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 182, 386, 686, 1088, 1598, 2222?\nAnswer: 2966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -16 - (-23 - -14) - -14038.\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Let a = -4 + b. Let q be (-9)\/11 + (a - -1). Is 1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 29*v**2 + 64*v - 47. Let i be b(31). Let l = 87 + -52. Calculate the greatest common divisor of l and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpahmkmp. Give prob of picking 1 j and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*g**2 - 4 - 7*g**2 + 4 - 49*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -13*x + 2*h + 25080, -31350 = -5*x - 3*h. Suppose x = 217*b - 207*b. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -822, -2596, -5678, -10062, -15742, -22712?\nAnswer: -30966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqnngfnqgfggrnnggnq. Give prob of picking 1 r and 1 g.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46535418861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 116021030*b - 232042068.\nAnswer: 2*(b - 58010517)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170205873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26197192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16969240.\nAnswer: 2, 5, 424231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let p(o) = -6*o - 1. Suppose 41*t - 27*t = -56. Calculate t*p(h) - 22*v(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = a - 3 - 2, 0 = 5*a - 2*v - 79. Suppose -3*p - 2*p + a = 0. Suppose -2*i = -p*i + 16. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*a. Let g be 11 + (-4 - (-1 - 1)). Suppose -5*w = d - 8, -g = -w + 3*d - 1. Solve a*t = 2*k + 10, -w*k = 3*k + 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9596 - -0.2014. Let h = 0.161 - s. Put h, -0.2, -9, -5 in descending order.\nAnswer: -0.2, h, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*x + 2 = 11, 3 = m + x. Solve 3*q + m + 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85999\/20310 + 2\/2031. Calculate the common denominator of -131\/30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1243741 or 1243950?\nAnswer: 1243950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p + 3. Let o be j(2). Let l be -5*(-8)\/20 - 2. Suppose l = o*u - 8*u. Solve u = 2*q - 5*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1053) - (-2*sqrt(1053))**2*4) + ((sqrt(1053) + 1)*-5 - sqrt(1053))).\nAnswer: 270*sqrt(13) + 101118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(sqrt(891) - 1*sqrt(891)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25698*j**3*n**4 + 16*j**3*n**2 + 713626*j**3*n + 78*n**4 + n**3 wrt n.\nAnswer: 616752*j**3*n + 1872*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 2*l - 3*l)*(-8 - 8 - 4 + 0) + 260 + 98*l - 260 to z + y*l and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*a - a + 1383, -1379 = -3*a + l. What is the remainder when a is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 + q**2 + 5*q - 10. What is m(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.3543 centimeters in nanometers?\nAnswer: 8473543000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 582343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 107720 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o**(-16\/9))\/((o*o*o\/(o\/(((o**(-2\/5)\/o)\/o)\/o)))\/o**(-25)) assuming o is positive.\nAnswer: o**(-1162\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.34 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 749 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 193761281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 3*d**2 + 2*d - 3. Let g be s(2). Suppose 0 = 2*c + r - 28, -g*c + 4*r + r = -70. Suppose -c*t + 6 = -13*t. Sort t, 5, -2 in increasing order.\nAnswer: -2, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 - 41 - (-1 + 7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62.5 - -16.5. Let l = 129 + r. Is 1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:18 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 25.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/104 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. What is the third derivative of 3*z**2 - 2*z**5 + z**2 - 2*z**5 + v*z**5 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvtvvvvtftvffvttt. What is prob of sequence vvv?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-23)\/(483\/72))\/(2\/(-35)). List the prime factors of (-4)\/12 - (-49940)\/r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 9:58 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1288 or -1286?\nAnswer: -1288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**5 - 29298*u**3 - 2*u**2 + 291979*u.\nAnswer: 40*u**3 - 175788*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or -4\/7?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364917333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 62767 (base 8) to base 15\nAnswer: 7b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 628803 * -12\nAnswer: -7545636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 12 = -a - 11, 5*u = -4*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189367895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 - 14*o**2 + 30*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1917*b**3 - 11*b**2 + 11*b + 818. Let v(k) = 641*k**3 - 4*k**2 + 4*k + 273. Let c(u) = 4*o(u) - 11*v(u). What is the derivative of c(n) wrt n?\nAnswer: 1851*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 805 in 0.5, 22, -1\/32?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5383 - -5350 - (0 + 67)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**3 - 13*v**2 + 4*v + 4. Let r(s) = 7*s**3 + 13*s**2 - 4*s - 4. Let h(b) = -6*k(b) - 5*r(b). Let t be h(-13). Let l = t + -34. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.4193366 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -16.1. Let j = z + 5.4. Let s = 3.7 - j. What is s rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10949448 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 divided by -2?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/2*16\/((-440)\/(-55))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llpmslsslsl. What is prob of picking 1 p and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtgy when four letters picked without replacement from ygggygtgggggyyyyyyy?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2628.658 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 89550 and 449.\nAnswer: 89999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 7. Let t = 1888\/21 + -268\/3. Let w = -1.8 - -2. Which is the third biggest value? (a) x (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(520\/16))\/((-5)\/((-95)\/209))\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h*h**(2\/33))\/h)\/(h*h\/(h**(-1\/28)*h)) assuming h is positive.\nAnswer: h**(947\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.954 - -0.056. Let m = 0.01 - x. Let q = 239 + -238. Which is the nearest to q? (a) 1.6 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/7))**(2\/11))**(-1\/5) assuming d is positive.\nAnswer: d**(-8\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -46?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 6*q**3 + 3*q**2 + 6*q.\nAnswer: -3*q*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*o + 257*o - 3*o**2 + 249*o.\nAnswer: -3*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344, -21, -630, -1483, -2580?\nAnswer: -3921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12665 divided by -91?\nAnswer: 12665\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 3*b**2 - 2*b - 1. Let v = 248 + -245. Calculate l(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 41*d - 120. Let o be s(4). Let w be (-1)\/o - (-36)\/48. Factor -2\/11*j**2 + w - 6\/11*j.\nAnswer: -2*(j - 1)*(j + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -u - 6, 5*u + 65*o - 70*o = 0. Let q(l) = 2*l**3 + l**2 - 2*l + 3. Calculate q(u).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in 3, -4\/9, -719, -1\/5, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 1\/(1 + -2). Find the second derivative of -2*b + 0*b + 8*b**5 + 3*b**z - 2*b wrt b.\nAnswer: 220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13070, 13072, 13074, 13076, 13078, 13080?\nAnswer: 13082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 - 4*v - 5. Determine l(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1880 + 1880. Solve 9*l + 19*l = f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -2*v - 166. Let j = 169 - v. Solve 5*b - 2*d = 21, 2*b = 2*d - 3*d + j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1377 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -775 + 780. Let k be (6 - i\/(-2)) + -8. Suppose 0 + k*v + 1\/4*v**2 = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 - m**2 + m**2)*(0 + 1 - 2) - 125785 + 125785 - 9685*m**2 to the form r*m**2 + u*m + y and give r.\nAnswer: -9684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26261175 divided by 15.\nAnswer: -1750745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**5 + 0*v**5 - 4*v**5)*(1 + 1 - 4) + 92*v**5 + 498*v**5 + 313*v**5.\nAnswer: 907*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1280) - (sqrt(1280)*-3 + 2 - sqrt(1280))) + 4*sqrt(1280)*-5)**2.\nAnswer: 1920*sqrt(5) + 288016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 6*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1071*l**2 - 7*l**3 + 7*l**6 + 9*l**3 + 49*l**6 - 30*l + 1072*l**2 wrt l?\nAnswer: 6720*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (602 - 750) + 0 + -1 + 1 + 4 + -4?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -325 - -331. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157184880, -314369762, -471554644, -628739526, -785924408?\nAnswer: -943109290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1411, 5696, 12823, 22792, 35603, 51256, 69751?\n\"Answer: 1421*x**2 + 22*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11988\/72 - (-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205.25 - -1.25. Let v = -204.0125 - m. What is v rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**3\/3 - 3*l**2\/2 + 4*l. Let s be t(4). Suppose -3*y = -a - 0*a - 94, 5*y - s*a = 170. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 10*i - 108. Suppose 6 + i = 7*h. Let q(w) = -w. Let k be q(-4). Solve 0 = -k*p + 6 + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aveppeehhvavhpzh. Give prob of picking 1 a and 2 h.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9132535*z**6 - 7281325*z**2 wrt z.\nAnswer: -1095904200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116856 - 3*a**3 + 116856.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - 605?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25750033 * -0.3.\nAnswer: -7725009.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 58*f + 459. Calculate i(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -35056?\nAnswer: 35057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -103*i**2 + 28*i - 11. Let c(p) = 157*p**2 - 43*p + 17. Determine -8*b(n) - 5*c(n).\nAnswer: 39*n**2 - 9*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-2\/3))\/a)**(14\/5)*(a\/(a**(-2)\/a))**16*(a*a*((a\/a**(-1\/2))\/a)\/a*a)**(-21)\/(a**(-1)\/a**8) assuming a is positive.\nAnswer: a**(643\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 31. Let q be a(-10). Let d = 53 - q. Let p(r) = 12*r**2 + 14*r**2 - 38*r**2 + 13*r**d - 3 + 6*r. Give p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743*s + 1141*s - 393*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1731*y + 67 - 200 + 66 + 67 to the form r*y + t and give r.\nAnswer: 1731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v - 40 = 0. Suppose 0 = 7*f + 141 - v. Let g(q) = -4*q - 4. What is the tens digit of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94518 and 185265782.\nAnswer: 10502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68555 rounded to the nearest 100?\nAnswer: -68600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14331235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 40 = 7*o. Solve -u + 9 = -4*n, 5*n = n - o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 10*u - 8. Let i be m(-10). Let r be 21\/6 + 4\/i. Solve r*j - 10 = b - j, 4*b + 18 = 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {j: 6, w: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*c + 15 = 0, v + 1 = 4*c + 11. Suppose 23 = 3*j + 8. Suppose r + p = 0, 5*p = j*r - 0*p - 30. Put -5, r, v in descending order.\nAnswer: r, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45402819\/(-42)*102\/(-187) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76164*b - 61216?\nAnswer: -76164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 148993440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 44.2. Let d = r - 6.233. Let a = d + 0.0329692. Round a to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 205 and 27.75?\nAnswer: 5688.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2 + 13710*l + 13705 = 0.\nAnswer: -2741, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let u(y) be the second derivative of y**6\/720 + 3*y**5\/40 - y**4\/3 - 5*y. Let t(x) be the third derivative of u(x). What is t(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3067899 to 3 decimal places.\nAnswer: -0.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v - 3. Let c(b) = 9*b + 9. Let t(q) = -5*q - 4. Let m(d) = 2*d - 3. Let k be m(5). Let j(n) = k*t(n) + 4*c(n). Let s be j(-8). Calculate p(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))**(-18)\/(t**(-1\/4))**(-30)*((t*t**7\/t*t)\/(t\/t**(-2\/11)))**(-6\/11) assuming t is positive.\nAnswer: t**(-15783\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3658264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 53*p**2 - 405*p + 24363. Determine o(51).\nAnswer: -1494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/3 (b) -1\/6 (c) -5\/22 (d) -700 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/13196 + -24861229\/65980. Let u = -3811\/10 - k. Find the common denominator of -49 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.591 + -8.591. Which is the nearest to -0.23? (a) q (b) 4\/3 (c) -0.4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13616 and 22286839.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 + 2*n**2 - 9*n + 2. Let s(t) = -14*t**3 + 7*t**2 - 27*t + 7. Let a(j) = -2*s(j) + 7*x(j). Find the second derivative of a(z) wrt z.\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 15\/827?\nAnswer: 15\/827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/969 and -13\/68.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3983 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - -6. What is the remainder when o is divided by 7 - (12\/20 + (-196)\/35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**5\/130 - y**4\/39 - y**3\/39 + 6*y + 2. Let m(j) be the first derivative of s(j). Find r such that m(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 8) + -5 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 + 2 + n + 161*n**2 + 30*n**2 - 3183*n**4 + 3184*n**4 in the form p*n**4 + w*n + h*n**3 + a*n**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -836, -1255, -1674, -2093, -2512?\nAnswer: -2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*3*(sqrt(1216) + 2 - (sqrt(133)*-2)\/sqrt(7)))**2.\nAnswer: 12960*sqrt(19) + 616893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184 - 182 - 2*v**3 + 366 + 775*v.\nAnswer: -2*v**3 + 775*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u = -67*u + 27. Solve 11 = -7*i - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:30 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25999373*g - 63990380 wrt g?\nAnswer: -25999373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 266, 268, 270, 272, 274?\n\"Answer: 2*i + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njp when three letters picked without replacement from njnppjnjnpjjn?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - (-22 + 0)) + (-10)\/(-2). Suppose o + 42 = 12*p. Solve 3*w - q + 3 = 0, q - p = -2*w + 4*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.981946 kilograms in tonnes?\nAnswer: 0.000981946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8\/3)\/(i*i**(-1\/20)) assuming i is positive.\nAnswer: i**(-217\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.04 and -19?\nAnswer: 399.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 3*t**2 - 3*t**2)*(15 - 26 - 16)*(3*t - 3*t + 4*t).\nAnswer: 432*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, -294, -796, -1500, -2406, -3514?\n\"Answer: -101*u**2 + 3*u + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -84\/11, -5, -7 in decreasing order.\nAnswer: 4, -5, -7, -84\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + -109. Let i be ((-2)\/d)\/(27\/(-162)). Solve -p - 2*a - 2*a - 4 = 0, -4*p + 4 = -i*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 495900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d - 1. Let g be f(-2). Let j be 61*(-36)\/(-24)*1\/3. Let s = g + j. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124370 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4262 + 4264. Solve k*u + 100 = 88 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {m: 10, w: 3, s: 3, x: 2, q: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 27, -1, -2 in decreasing order.\nAnswer: 27, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, -7, 0, -5 in decreasing order.\nAnswer: 15, 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 11*l - 7. Let a = -12 - -2. Let c be k(a). Suppose 24 = 4*d - c*r, 3*d - 4*r - 29 = -2*d. Calculate the greatest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 65 + 77 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-45 - -18 - -19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 60 - 42 = 0. Suppose 2*d = 3*d - f. Let q = d + 24. Calculate the greatest common divisor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 4:17 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -79959, -12, -4, -5 in decreasing order.\nAnswer: 5, -4, -5, -12, -79959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-4\/15)*v\/(v\/(v**(-7)\/v)) assuming v is positive.\nAnswer: v**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 921, 6459, 21361, 50307, 97977?\nAnswer: 169051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*h + 0*h + 36*h - 7*h + 14*h - 36*h.\nAnswer: 129*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 - -10?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -565 - -558. Is m >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3525 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(1300) + (sqrt(65) + (sqrt(65) - (sqrt(65) + (-2*sqrt(65) - sqrt(65))*1 + sqrt(65) + sqrt(65) + sqrt(65) - sqrt(65) - sqrt(65))))\/sqrt(5).\nAnswer: -17*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -183831252.7 and -74.\nAnswer: -183831326.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272954 and 1215126?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -839 - -839.0894. What is l rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -92331.\nAnswer: -830979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26652569?\nAnswer: 281, 94849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.162 - 0.362. Sort z, 1\/6, 1\/3 in ascending order.\nAnswer: z, 1\/6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/8*n**3 + 2 - 3\/2*n**2 - 1\/8*n**4 - 1\/2*n.\nAnswer: -(n - 4)*(n - 2)**2*(n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1048548312.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/522051 and -97\/4.\nAnswer: 2088204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33101389 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiii. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = 2*m - 4, -n - 2*m + 4 = 0. Suppose n = -12*a + 7*a - 40. What is the nearest to 0 in -2\/3, -1\/8, a?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*b - 3)*(-270 - 556 - 626 - 2687).\nAnswer: 12417*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 8:05 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6) + (2 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1363683249338 and -0.4.\nAnswer: -1363683249338.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7. Let d = -4597\/7 + 658. Is g bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - -154. What is the remainder when o is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -2, -3\/4, 0.2343, 0.1 in ascending order.\nAnswer: -5, -2, -3\/4, 0.1, 0.2343, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(0 - 1\/29). Suppose -5*w = q + 11. Let j be 2\/w + 9\/20. Which is the biggest value? (a) -0.3 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 40.28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/3 or 5?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -28) + -34 + (7 - (-6)\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19940 and -488733?\nAnswer: 468793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -897 and -0.4.\nAnswer: -897.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 7*q**3\/3 - 27*q**2\/2 - 4*q + 10. Let x(s) be the first derivative of v(s). What is the tens digit of x(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0241553435 minus 0?\nAnswer: -0.0241553435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105298 + z - 5*z - 77691.\nAnswer: -4*z - 182989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -48*h + 55*h - 450. Calculate the highest common factor of 4278 and h.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -132403.794321?\nAnswer: 132410.794321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.7, -55, -0.0005.\nAnswer: -55, -0.7, -0.0005, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.10914 - 1.1341. What is x rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58008298?\nAnswer: 2, 29004149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 17 = z, x - 37 = 2*z + 4*x. Let c be (-220)\/z + (-2)\/(-7). Solve 0 = 3*t + 2*o + 17, -4*t + 5*o - c = o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/35)\/((-3)\/(-30)*-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1289*m**2. Let d(z) = -2*z - 12. Calculate d(b(g)).\nAnswer: -2578*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188859 times -18?\nAnswer: -3.399462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3346531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 10*m**2 - m - 8. Let j be s(-10). Suppose 0 = -j*h - 3*h + 110. Suppose -4*w + 6 = -h. Solve -4*z = -0*g + 3*g - w, -30 = 5*z - 4*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -669 (c) 1\/4 (d) 1\/2 (e) -1 (f) 0.325 (g) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*p + 77 - 66 = 0, 0 = 4*z + 18*p - 9*p - 6*p - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 7803?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 2. Let h = 5 + k. Let t(x) = -x**3 - x**2 + 7. What are the prime factors of t(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 - 1.33. Let y = d - -0.8. Which is smaller: y or 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22226 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 11\/24*v**6 + 0*v**4 - 37\/3*v**3 + 0 + 83*v**2 + 0*v**5 + 0*v. What is the first derivative of h(y) wrt y?\nAnswer: 165*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o - 5. Let i(t) = 6*t. Is i(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10062 - 9999. Calculate the highest common factor of b and 11130.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 240311*b**3 + 23*b**2 - 2*b*f - 25435545*f wrt b?\nAnswer: 720933*b**2 + 46*b - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343028836 is divided by 1819.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25253\/7 - (46\/7 - 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 209 = m. Suppose 2*j + m = 7*j. Suppose 4 = h - 4. Calculate the highest common divisor of j and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in 0.7, 1.3, 4, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 26139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 73 = 3*q, -3*q + 0*r + 3*r = -69. What is the tens digit of (-6)\/(-12) + 4\/(q\/237)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -49*q - 3591. What is g(-45)?\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*o - 17 + 17 + (-2*o + o + 3*o)*(-1 + 1 + 2) + 0 + 0 - 3*o)*(-2*o**2 + 0*o**2 + 0*o**2) to g*o**2 + f*o**3 + y + t*o and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-20)*40*3\/12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.2. Let c = 0.02 - 2.02. What is the closest to -2\/3 in c, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156 + 144. Let l be t\/9 + 26\/6 + 14. Put -4\/7, -0.1, l in decreasing order.\nAnswer: l, -0.1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 6. What is the remainder when h(-12) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137815, 275625, 413435?\nAnswer: 551245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6487232261 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 551886 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.4, 3, 150, 1\/5 in descending order.\nAnswer: 150, 3, 0.4, 1\/5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -6*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 plus -0.7575?\nAnswer: -90.7575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 10. Let v(f) = f + 4. Let m(d) = -5*s(d) - 12*v(d). What is m(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 7*i. Let p(l) = -6*l**2 + l - 4. Let a(t) = t**2 + t + 1. Let c(q) = 4*a(q) + p(q). What is 7*c(k) + 5*g(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3472 and 130200?\nAnswer: 260400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13892*i**3 - 2*i**2 - 11730.\nAnswer: 41676*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 5*p**2 - 7*p. Calculate g(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14309 - 2932. What are the prime factors of z?\nAnswer: 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -12. Let i = -4167 - -4161. Which is the closest to -1? (a) r (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 192915*d**2 - 3112220736*d - 349221940224 = 0. Calculate d.\nAnswer: -32096, -113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -254*y**3 + 3*y**2 - 1. Let n(p) = 254*p**3 - 4*p**2. Calculate -4*f(j) - 3*n(j).\nAnswer: 254*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930 - 2805 - (132 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -4 - (-18 - (-37 - -11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1306, -4603, -10096, -17785, -27670, -39751?\n\"Answer: -1098*m**2 - 3*m - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:55 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Let u = 135 - 118. Let y be (u - 15) + -1 + (-30)\/26. What is the closest to t in -2, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 47*i - 26*i - 24*i. Let h(k) = -3*k - 2. Give m(h(s)).\nAnswer: 9*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1000110100101111?\nAnswer: 1000110100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 - 19*h - 13. Let k(v) = 3*v**2 + 9*v + 6. Let t(x) = -13*k(x) - 6*z(x). Let n be t(2). Solve 2*m - 4*p = -0*p + 6, -n = -2*m + p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934 + 934 - 1293*a**2 - 1198*a**2 + 2572*a**2.\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 1119, 2278, 3843, 5814, 8191?\nAnswer: 10974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2362 (base 9) to base 15\nAnswer: -7c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1719 + -34b9?\nAnswer: -1ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 828990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 12:50 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + 1*sqrt(170))*3)\/(-1*sqrt(490)).\nAnswer: -6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*g + 3*g. Suppose 4*o - 20 = -g. Suppose -o*f = 57 - 161. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deezzd. Give prob of picking 1 e and 1 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 12066*k**2 - 24137*k**2 + 12070*k**2.\nAnswer: -k**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(19\/6)\/r*r**(3\/11) assuming r is positive.\nAnswer: r**(161\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22091 - 25900 = 1506*j + 72997 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 6*y**2 + 2*y + 7. Let i be j(-6). What is the biggest value in i, -4\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, j: 1, e: 3, i: 2, y: 1}. What is prob of sequence ij?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axfxxffaxxaxaffxx. Give prob of sequence fxf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5993128.03 and 2114556?\nAnswer: 3878572.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 - 234327604*b\/3 - 26036400 = 0. Calculate b.\nAnswer: -19527300, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 9*p - 71. Put 4, p, -16, -4 in decreasing order.\nAnswer: 4, p, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 8, 1, 2 in descending order.\nAnswer: 8, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - k. Let p = 7 + -2. Suppose 0 = -p*q + 10. What is the units digit of a(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*n + 21483 - 3370 = 305 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -174 - -184.5. Let x = 6.5 - r. Sort -29, 2\/3, x.\nAnswer: -29, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 12, l: 3}. What is prob of sequence lmpm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1835*b + 2536*b = -4743*b + 431 - 27773 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 + -65. Calculate the highest common divisor of r and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152) + sqrt(152)*-1)*-2)\/sqrt(8).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 20965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.073 + 0.143. Which is the second biggest value? (a) -6 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 668559239*q**5*v + q*v + 3*q - 10*v + 361220 wrt q.\nAnswer: 13371184780*q**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 674245996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/17 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958.824l to millilitres.\nAnswer: 958824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**3\/3 - 1. Let f(o) be the second derivative of -3*o + 0*o**3 + 0 + 0*o**2 + 2\/3*o**4. Calculate g(f(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.954655 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3291, 6582, 9873, 13164, 16455, 19746?\n\"Answer: 3291*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 10, -3*o - 12 + 5 = -4*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/12 - (-11)\/2. Suppose -k*j - p = -938, -5*j + 6*j + p = 310. What is the remainder when j is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3169 - -3175. Let k(t) = 5*t + 22. Let h(g) = -2*g - 8. Let w(s) = 8*h(s) + 3*k(s). What is w(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x - 38. Calculate n(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 13*m + 5. Let j(u) = u - 1. Let o(f) = -5*j(f) - l(f). Let r be o(8). Which is the third smallest value? (a) r (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + x)*(7*x**4 - 15*x**3 + 15*x**3) - 5*x**5 + 14*x**5 + 4*x**5 + 0*x**5.\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7157534.\nAnswer: 2, 41, 191, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 + -104 - (89 - 30)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l + 22. Let w = 9 - -1. Calculate the least common multiple of w and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*k**2 - 35*k + 51*k + 81*k**2 - 50*k**4 to the form n*k**3 + b*k**2 + u*k + i*k**4 + c and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867659824 + 39?\nAnswer: 3867659863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -571032 (base 12) to base 2\nAnswer: -101010011100111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142251791.\nAnswer: 11, 37, 83, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -26 + (-2 - 15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.072 + -3.928. Let s = -4.5 - t. What is the nearest to 0 in s, -0.1, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*m + 5*m + 0*m - m**2 + 4*m**2 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.7 - -54.9. Put -4, t, 3 in descending order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079747877 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2978*l. Let i(b) = -3*b**2. Determine i(m(d)).\nAnswer: -26605452*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823.0881cm to millimeters.\nAnswer: 8230.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7)*-5)**2 + sqrt(7) + (sqrt(7) + -2)**2 + 1.\nAnswer: -1038 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(190) - -1*sqrt(190))*-4 - sqrt(190))*1)\/(6*(sqrt(360) - sqrt(360)*-2) - sqrt(360) - sqrt(360)) + 5.\nAnswer: -3*sqrt(19)\/32 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (5 - -62 - 92)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u - u. Let r = u + 7. Let w(y) = 2*y**2. Let c(m) = -3*m**2. Let n be (6\/8*(22 + -18))\/(1\/1). Calculate n*w(s) + r*c(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by 1605.\nAnswer: -94\/1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139 + 200. Let o = -33 + c. Let d be (-5862)\/(-42) + (-6)\/(-14). What is the highest common divisor of d and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318, 312, 304, 294, 282, 268, 252?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 52*v + 68. Let k be p(35). Suppose 4*l = 0, 2*h + k = 6*h - 2*l. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = k - 9, 12 = 5*k + 27. Let q be ((-1250)\/(-14))\/(-5) + o. Let f = q + 5349\/385. Is 1\/4 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -12*c - 101. Let y be d(-10). Let x be (y\/2 - 9)*896. What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 457 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 - 3 + 2*f**4 + 5 + 2*f - 1 - 3*f**2 in the form t*f**3 + w*f**4 + a*f + l + g*f**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37440, 74888, 112336, 149784, 187232, 224680?\nAnswer: 262128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -46\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.185 and 82021006?\nAnswer: 82021007.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1030*q + 5157. Determine o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3321 = -3*x + 11643. Let j = -4974 + x. Round j to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 696*x**2. Let k(d) = -d. Determine i(k(n)).\nAnswer: 696*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 5, 3\/5, -0.1 in descending order.\nAnswer: 5, 4, 3\/5, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1985 + 173 - 841*n + 144*n - 142*n with respect to n.\nAnswer: -839","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:30 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960 and 20448.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/4 of a millennium?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 + 66 = 68*s - 29*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:36 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0252184 millennia to years.\nAnswer: 25.2184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -l - 1, -5*l - y + 4 = -3. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150832 divided by -7\nAnswer: -150832\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1099 and 700?\nAnswer: 109900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23282009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68508726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 29*m + 33. Determine a(25).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by (-385)\/(-308) + (-1131)\/(-4) + -3?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100010110010000100?\nAnswer: -100010110010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*s - 3*s. Let r be (56\/20)\/(s\/10). Suppose r = -2*q + 21. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-24 + (2 - (4 + 2 + -6))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 = -h. Let k = -42 - -39. Let d(q) = q - 8. Let p(b) = -6. Let m(u) = k*d(u) + 5*p(u). Calculate m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 52 + 2547*s - 2550*s - 52 - s**2.\nAnswer: -3*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17764 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 i(f) = f**2 + 2*f - 1. Let t be i(2). Let k be 1\/(0 - 1) + 2. Let h = t - k. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 42 = -3*g, -8*g + 60 = -4*g + 4*q. Suppose -4*j = 4*u - g, 3*u + 0*j - 1 = 5*j. Solve 5*x - 28 = u*h, 4*x - 2*h = 6 + 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -23 (c) 6\/31 (d) 0.1 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aab when three letters picked without replacement from {a: 2, r: 1, b: 1, q: 1, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0*i**2 + 1\/4*i**4 + 0*i**3 - 1\/15*i**6 + 0 + 0*i**5 - 2*i. Find the third derivative of d(b) wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021205 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rltljrriljrjlllll. Give prob of sequence rjti.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15132)\/104 - ((-3)\/2 - 1). Let i = -125 - o. What is the greatest common factor of 342 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -7. Suppose 2*t = b + 3, -s*b + 0*b + 27 = 4*t. Suppose -4*x = t*y - 35, 3*x = 8*x - 3*y - 64. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26552426143 take away -3?\nAnswer: 2.73447573857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -5*y - 156. Suppose -4*u + 5*n - 131 = 0, 2*u + 4*n + 133 = -3*u. Let k = u - y. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(209) - sqrt(209)) - -5*sqrt(209)*1)\/(-1*sqrt(1100) + sqrt(1584) + 1*sqrt(1584)).\nAnswer: 9*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101131312332 - 1?\nAnswer: 2101131312331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -2, 2\/7, 21, 3.1, -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.282 (b) -113 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3067013 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0 - (-62 + 244 + -80)) + -11?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1500 = -2*z. Let h be 3 - (z\/2 - -3). Calculate the greatest common factor of h and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2625371 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.00297 grams in kilograms?\nAnswer: 0.03300297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 3*r - 4. Let s(v) = -8439*v - 9. Let l(z) = 3*z + 2. Let q(g) = -20*l(g) - 4*s(g). Let x be q(r). Round x to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1799, -1800, -1801, -1802, -1803?\nAnswer: -1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70259052827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*k = 325*k + 20. Let c(v) = -20*v - 13*v - k*v + 42*v. Let q(g) = -5 - 3*g + 24*g + 2. Give q(c(p)).\nAnswer: -21*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*j + 1 - 3, 2*j + 20 = 4*c. Let v(w) be the second derivative of -w + 3\/2*w**2 + 1\/2*w**c + 3\/2*w**3 + 0. Find f, given that v(f) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**3 - 12*b**2 - b. Let t(f) = -11*f**3 + 35*f**2 + 2*f. Let j(v) = -3*t(v) - 8*u(v). What is the units digit of j(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 10*f**2 - f - 8. Let z be a(-10). Suppose 10 = 5*y, 0*y = 4*j + z*y - 916. Suppose -6*p + 2*p = -j. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 10*n + 25. Let a be k(6). What is the closest to a in 0, 5, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6974 + 8527. Calculate the remainder when s is divided by 156.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 6*p**2 - 2*p**2 + 7*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, 18, -18, -1\/6, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/(-104) - (78 + 7003\/(-94))?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/4 - 5*a**3\/3 - a**2\/2 - 3*a + 1. Let p = -17 - -12. Let q be r(p). Solve -2*u - 8 = -0*v + 3*v, 0 = -q*u + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 8*f + 29. What is the tens digit of z(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 6*x**2 - 3*x - 6. Let m be q(5). Calculate the greatest common divisor of m and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33956718?\nAnswer: 2, 3, 17, 31, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 180 = -4*j, -15*r + 13*r + 240 = 5*j. Let h = -15 - -50. What is the lowest common multiple of h and j?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*g - 15. Let w = g - -31. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10077 + -10075. Suppose 2 = b + 3. Let r = 9 + -4. What is the nearest to 0.1 in r, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4118743 rounded to 2 decimal places?\nAnswer: 7.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5805, 6558, 7813, 9570?\nAnswer: 11829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**3 + 7*i**2 + 13. Suppose -y + 8 = 3. Let m(p) = 3*p**3 - 3*p**2 - 6. Let h(f) = y*m(f) + 2*a(f). What is h(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1011?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**5 + 17*n**2 + 2*n + 33.\nAnswer: -40*n**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -107, -224, -413, -686?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3150777.107826 - -0.7?\nAnswer: -3150776.407826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10643, -21272, -31901, -42530, -53159?\n\"Answer: -10629*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1085, -1040, -973, -884, -773, -640?\n\"Answer: 11*v**2 + 12*v - 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6246.3 to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b**2. Let n(t) = t**2 - 3*t + 3. Let k(y) = -6*y**2 + 17*y - 17. Let m(r) = 6*k(r) + 34*n(r). Determine m(a(d)).\nAnswer: -338*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b = 27*b + 115 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*f = -12, 5*f - 21 = 4*v + 5. What is the closest to 1 in 1\/4, 5, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -907 - -9995\/11. Sort -0.4, 2, q in ascending order.\nAnswer: -0.4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -922*v - 609*v**4 + 1494*v**3 - 1494*v**3 - 1090*v**4 - 1282*v wrt v.\nAnswer: -20388*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98 * 7921.\nAnswer: -776258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.207 - -21.207. Sort -3\/5, -4, -12, -0.1, w in decreasing order.\nAnswer: w, -0.1, -3\/5, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 24*n = x - 32, -n - x + 10 = 0. Suppose -n*g + 34373 = -40482. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 78. Let z be 0*(7 - 6 - (v - -2)). Solve z = l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -29*n + 1075. Let u be i(37). Let x(d) = 871*d**2 - 117. Let f(c) = -15*c**2 + 2. What is u*x(r) + 117*f(r)?\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.446 - -1117.446. Let u = -747 + v. Let b = -371.67 + u. Round b to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.80686 and -136310.61.\nAnswer: -136314.41686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k + 5. Solve 5*h = k*n - 0*h, 0 = n - 5*h + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**2\/w))**(-33)\/(w**(-3\/7)*w*w**(4\/11)) assuming w is positive.\nAnswer: w**(-72\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - 8. Let n = 52 + x. What is the highest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 120. Let g = 58 - r. Suppose 2*o - 3*i = 32 + g, 5*i - 118 = -4*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(200) + sqrt(200) + -1 + (sqrt(200) - (sqrt(200) + 1 - sqrt(200))) + sqrt(200) + sqrt(200)))**2 + -5)*4.\nAnswer: -12800*sqrt(2) + 320236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 20. Calculate k(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16217*c**4 - 806925*c + 2967*c**4 - 2 + 806930*c + 30*c**2 wrt c.\nAnswer: -318000*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/120 - 7*u**5\/60 + u**4\/3 + 2*u**3\/3 - 2*u**2. Let x be m(6). Solve 0 = -4*i - 16, 4*z + 0*i - x = -i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/9, 0.47, 0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22879, -45766, -68661, -91564, -114475?\n\"Answer: -4*l**2 - 22875*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1 + 541*c - 475*c - 1. Let z(q) = 2*q. What is b(z(n))?\nAnswer: 132*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2542997651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -157*h + 8007. Give t(51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 3*h**2 + 2*h - 4. Let z be s(3). Let d be 3 + (z - 3 - 0). What is the first derivative of 0*p - d + p**2 + 0*p wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 9, -1, -8, -53.\nAnswer: -53, -19, -8, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)\/k*k)**43 assuming k is positive.\nAnswer: k**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/43 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1315052 and 831577.\nAnswer: 56547236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 3. Let h be t(-4). Let u be 2\/(-4) - h\/(-2). Suppose -20 = 4*s, u = -3*d - s + 3 - 17. What is the smallest value in -0.4, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(7\/5)*r*r)))\/r**(-1))\/((r\/r**(2\/7))\/(r*r**2*r)) assuming r is positive.\nAnswer: r**(269\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*v - 15*v + 2*v)*(-562 + 805 + 536) to the form c + s*v and give s.\nAnswer: -2337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s*(s*s**(-5))\/s*s*s*(s**2*s)\/(s*s*s\/(((s**(-4\/7)\/s)\/s)\/s)))\/((s\/s**(-1\/2))**(-16\/5)\/(s**2\/(s*s*s**3))) assuming s is positive.\nAnswer: s**(-122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 65709?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*l**3*s**3 + 4878364*l**3 + 247095*l**2*s**3 - 532*s wrt l?\nAnswer: 90*s**3 + 29270184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = o, 4*o + 11 - 24 = -3*c. Suppose -m - 3 + o = 0. Solve -5*n - 4*h + 2 - 7 = 0, -m*n - h - 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y - y - y + 0 + 0 + y + 0*y - 2*y + y + (2*y + 4*y - 4*y)*(-3 + 4 + 0) + 1 - 1 + y)*(38*y - 665 + 665).\nAnswer: -228*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -340, -1\/4, 920.4 in increasing order.\nAnswer: -340, -1\/4, 0, 920.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2044*j**2. Let z(x) = 49*x. Determine g(z(f)).\nAnswer: 4907644*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-164)\/(-28) + (-3)\/(-21). Let q be r*(3 - 0)*-2. What are the prime factors of (12\/q)\/(1\/(-63))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3153 is divided by 1473?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -540590 + 7185\nAnswer: -533405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(22) - (sqrt(22) + sqrt(88))) + sqrt(22))\/sqrt(2) + -5 + -3.\nAnswer: -4 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-3))\/((-3705)\/(-4446)))\/((-192)\/(-10)).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -36*y**3 - 33*y - 3. Suppose -5*j = -0*j + 330. Let h(t) = t**3 + t. Let c(s) = j*h(s) - 2*b(s). Differentiate c(q) wrt q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**2 + 14*m - 13. Let c(v) = -v**2 + 3*v - 3. Let i(u) = -9*c(u) + 2*f(u). Suppose 0*p + 10 = -5*p. Determine i(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 12) to base 7\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 11 - 43. Let k = 7317 + -7307. Is t bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: (165\/25)\/11 - (-129)\/(-15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.031 + 0.031. Let c = w + 6. Suppose 13 = -3*j + 4*j. Is j < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774674471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 63. Suppose -5*j + 2*w + 3 + b = 0, -12 = -4*w. Factor 0 + 3\/2*z**j + 2*z**3 - 1\/2*z.\nAnswer: z*(z + 1)*(4*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and -0.2?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 728, 25, -70, -5.\nAnswer: -70, -5, 25, 728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/55*5*(0 + 30854). Suppose -11*l = -3*l - g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 21 = -3*l, 3*t = t + 3*l. Suppose 0 = o - a - 93, -t*a + 48 = -o + 149. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200135 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**2*w))**(2\/13)\/(w*w\/w**(-5)*w**(-2\/11)))**(2\/13) assuming w is positive.\nAnswer: w**(-2038\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1507 + 1512. Solve 7*g - 5*g + 2*q - 12 = 0, -j*g + q = -12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 90ba047?\nAnswer: 90ba046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -4. Let q be 2 - (-1)\/((-10)\/16). Which is the nearest to -2? (a) q (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91354163 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17682 - 7479. Calculate the remainder when y is divided by 243.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 546c - -3?\nAnswer: 5471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + 6*i + 6. Let w be g(-5). Let x(t) = 39*t**2 - 4*t + 5. Let d(p) = p**2 + p - 1. Let j(k) = 6*d(k) + x(k). Is j(w) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003517884 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 5*a - 6. Let o be t(6). Suppose o = -4*n - n + 195. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + v = 6*u + 2, u + 6 = -5*v. What is the tens digit of (-37 - (-2 - u))*(-156)\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3) + -3)**2 + -3.\nAnswer: -6*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 280560, 280559, 280558, 280557, 280556?\n\"Answer: -w + 280561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 equal to 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1474208 * -0.0601.\nAnswer: -88599.9008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*p + 4148 = 3524*s - 3520*s, -4*s + p + 100 = -3*p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-2 + (-9 - (-57 + 1 - (390 - 399)))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from qqbqqbbqqqbeq.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let k be q(2). Suppose 5*g + 17 = 2*j, -5*g = j - 0*g - 16. Suppose 0*l + 5*l + 1 = 2*x, j = 5*x - 4*l. Solve -x*r + k*p + 15 = p, -5*p = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -2. Let i(j) = f*j + j - 4*j. Let q(a) = a**2 + 14*a - 1. Let g(w) = 39*w**2 + 728*w - 52. Let h(c) = 3*g(c) - 156*q(c). Calculate h(i(o)).\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 divided by -21?\nAnswer: 170\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + -16?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13020 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 306*r**4 - 906*r**2?\nAnswer: 7344*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**6\/36 + 41*f**5\/10 + 127*f**4\/12 - 82*f**3\/3 - 250*f**2\/3 - 10057. Suppose x(i) = 0. What is i?\nAnswer: -2, 0, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16335 and 826430?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39950*h + 39994*h = -2024 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 10*j**2 + 16*j - 1. Let x be m(11). Suppose -14 = 5*q - x. Calculate the smallest common multiple of 7 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 + 2*d**2 + d - 2. Let y(n) = -n**3 - n**2 - 1. Let q(h) = -i(h) + 5*y(h). Let a be q(-7). Solve -a*j - 25 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 81*q**2 - 12*q + 59. Let v(f) = -3*f**3 + 122*f**2 - 17*f + 89. Let n(y) = -7*a(y) + 5*v(y). Determine n(43).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1173 and 4573987.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b)**(-2\/5)\/(b*b**(3\/4)*b*b**(1\/5)) assuming b is positive.\nAnswer: b**(-131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -33. Which is the third smallest value? (a) -0.1 (b) i (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a3 (base 11) in base 9?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 18*c**2 - 18*c + 19. Let l be f(17). Which is greater: l or 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 2*d**2 - d + 36. Let r be v(0). Solve 0 = -4*n + 16*n + r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333529 is divided by 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -84345?\nAnswer: 84344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13872699 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(126\/(-12)) - 8\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464180, 928364, 1392548, 1856732?\nAnswer: 2320916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsxfqsxsxffs. What is prob of picking 2 x and 1 q?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 4*l**2 - 3*l - 14. Let t(h) = -104*h - 1971. Let z be t(-19). What is r(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100100110110 + -1000001111011?\nAnswer: 1001100010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 0, -3, -264, 1 in decreasing order.\nAnswer: 5, 2, 1, 0, -3, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.498349 weeks to days.\nAnswer: 31.488443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -304, -306, -308, -310?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 13*x**2 + 14*x + 26. Let c be z(-12). Suppose 4*g + c*j = 188, -4*g + 3*j = -2*g - 94. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157402 and 59626.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 - j**2 + 5*j**2. Let b(r) = -8*r**2 - 3 + 6 - 3 + 9*r**2. Give b(u(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2)*-8)\/((-12)\/(-6)). Solve -9 = -3*w - 4*x, -q*w + 4*x = -w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 1:26 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3841, -3839, -3837, -3835?\n\"Answer: 2*c - 3843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143851 is divided by 2024.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-13 - 0) + (-27 - -35)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(10 - (-1 - 51))\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5631*x**2 - 882*x - 72. Let q(t) = -112617*t**2 - 17640*t - 1458. Let l(b) = 81*i(b) - 4*q(b). What is the second derivative of l(j) wrt j?\nAnswer: -11286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9531, 19060, 28593, 38130, 47671, 57216, 66765?\n\"Answer: 2*p**2 + 9523*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + -17 + 25 + -29 - -21.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16c (base 14) to base 12\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154444 is divided by 143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*g - 4, -4*g - 296 = -5*h - 292 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {j: 2, x: 4, h: 3, z: 1, l: 2, n: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 328708 or 328710?\nAnswer: 328710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-5)\/(-15) + (-3)\/(-9). Suppose 2*k = m*g - 7 - 3, 3*g - 2*k - 10 = 0. Let c be 0 - g - -4*1. Let w(i) = i**3 - 5*i**2 + 5*i. Give w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-231264)*-219)\/(2\/(-22)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 194\/6 + (-6)\/(-9) + -1. Suppose -2*m + j = 20. Solve 3*t + 5*b - m = 2*b, 4*b - 16 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -76356, -152716, -229086, -305472, -381880, -458316?\n\"Answer: -t**3 + t**2 - 76356*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 19656.\nAnswer: 255528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 200.4 + -185. Let f = -12.4 + j. Let h = -0.096 + -41.904. Put h, f, 1 in increasing order.\nAnswer: h, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n - 3*n + 4 - 2*n + n - 2 + 2 - n + 2 - 2 + (-n + 5*n - 2*n)*(-3 + 4 + 1).\nAnswer: 5*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -66\/13, 2\/15, 419?\nAnswer: -66\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -5. Suppose k = p + p + 2*w, -4*p + 10 = -2*w. Solve -o = -5*h + 2*h - p, 5*h - 2*o + 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64910?\nAnswer: 2, 5, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -35466 greater than or equal to -1454151\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 13*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5835*r + 5833*r + 14 = 0. Solve -2*k - r = -5*s, 2*k - 16 = 2*s - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 - -156. Find the common denominator of (-792)\/(-270)*1\/p*7 and 97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -94, -4, -5, -92, -30, 1.\nAnswer: -94, -92, -30, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 23*h**2 - 11*h + 17. Let o(t) = -4*t**2 + 2*t - 3. Let f be -4 + -3 - -1*1. Let u = 14 + f. Suppose -2*g - u = 4. Determine g*n(m) - 34*o(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/5)\/c)**(-2\/13)*(c**(-1\/4))**31)**(-22) assuming c is positive.\nAnswer: c**(21989\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((1\/(-36))\/((-11)\/(-88)*-1))\/(-2))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21758 is divided by 166?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 2577056?\nAnswer: 18039392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 divided by -8?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6601)\/369 - -18 - 3801\/(-1512)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 28*f**5\/5 - 5204*f**4 - 2911148*f**3\/5 + 6748964*f**2\/5 - 4660544*f\/5 + 169744 = 0.\nAnswer: -103, 2\/7, 1, 1030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.1. Let m = -19 + 22. Sort -4, o, m in ascending order.\nAnswer: -4, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185\/672 - -1\/96. Put 2, o, 4 in ascending order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqlggwjjq. Give prob of picking 1 s and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-3)\/2*(-10)\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l + l)*(10*l - 24*l + 4*l)*(-l**3 - 7*l**3 + 3*l**3).\nAnswer: 150*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 10:53 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 + 4 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21138 = -7437*u + 7439*u. Does 52 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50086.8 milligrams to kilograms.\nAnswer: 0.0500868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/(-630))\/((-24)\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*k**2 - 144*k**2 - 144*k**2 - 155*k**2 - 139*k**2 - 154*k**2 - 142*k**2.\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(-4*sqrt(54)\/(sqrt(2)*2))\/(sqrt(900)*1*5 - sqrt(900)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/48 and -83\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 159*o**2 - 368*o**2 - 82*o**2.\nAnswer: -609*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*p + 1356502, 44*t - 4*p - 678251 = 43*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42780 rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 974745, 1949451, 2924153, 3898851, 4873545, 5848235, 6822921?\n\"Answer: -2*q**2 + 974712*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.7264*-5\nAnswer: 8.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w = 34*w + 1533. What are the prime factors of w?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + sqrt(19) + 1 - (sqrt(19) - -6*sqrt(95)\/sqrt(5))).\nAnswer: -6*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.046 and 4343614.1658.\nAnswer: 4343614.2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154932 + -154439.193. Let y = -493 + o. What is y rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01734 times 0.18?\nAnswer: 0.0031212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -19) + -10 + 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5710*2128\nAnswer: 12150880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 273697973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12061, 24131, 36201, 48271?\nAnswer: 60341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.06, 5, 4, 1\/17 in ascending order.\nAnswer: -0.06, 0, 1\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 10. Let a be r(-7). Let t be (-1)\/(-2)*a\/2. Suppose -27 = -z + 4*f, z + t = 3*z + 4*f. Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - r**3 + 3*r**2 + 2*r - 4*r. Let x be n(4). Let l be 10\/(-35) - 174\/(-21). Calculate the highest common divisor of l and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (3 - -3 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + q)*(-2 + 3 + 1) + 3 + 2*q - 3 + 3235 - 3235 - 18*q - 52*q in the form o + y*q and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14725000 rounded to the nearest one hundred thousand?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/8 + (-5)\/20. Solve 0 = -5*i - b - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-62)\/(-434) + (-166)\/(-14). Is k greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u - 2\/3*u**4 + 1\/20*u**5 + 4\/3*u**3 + 0 + u**2. Let k be n(7). Is 10 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68859.\nAnswer: 3, 7, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 469\/6. Which is the closest to 0.3? (a) -6 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + h - h)*(-13*h**2 + 2*h + h + 17*h**2) - 54*h**5 - 61*h**5 - 76*h**5.\nAnswer: -199*h**5 - 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 107. What is k(-38)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48*x**4 - 163706*x**2 - 10855117 wrt x?\nAnswer: -192*x**3 - 327412*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.481904 and 91?\nAnswer: -43.853264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/7*14\/(-4). Find the third derivative of v**4 - 3*v**4 - v**z + 0*v**4 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*l**3 - 78*l**2 - 3 + 78*l**2.\nAnswer: -94*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -397900 rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/48)\/((-1)\/(-4))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -212211 (base 3) to base 8\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -77, -120, -163?\n\"Answer: -43*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*j - 39 = 0, 2*j + 33 = 3*p - 19. Solve 2*o + 9 + p = -5*b, 4*b = -3*o - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 2*j - 23, 11 = 3*f - 6*f + 4*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1241 + 0.124098078. What is o rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*i + 4*r - 1, -4*r = -i - 10. Let p(m) be the second derivative of 2\/5*m**i + 1\/5*m**3 + 1\/30*m**4 + 0 - 2*m. Find w, given that p(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:02 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -367.74217 to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -6\/37, 2\/15, -0.105, -0.8, 1\/7, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.88 (b) 1\/3 (c) 0 (d) -5 (e) 310 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -3*v**4\/4 + 5*v**3 + 2*v**2 + v + 132. Let n(p) = -p**3 + p**2 - 2*p - 1. Let j(h) = 5*n(h) - t(h). Solve j(x) = 0 for x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 210*q - 200*q. Suppose -p + g + 4049 + 2695 = q, 2*p + 3*g = 13513. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -38*p - 225. Let z be j(-6). Let w = 3.4 + -2.4. Sort 4, z, -6, w.\nAnswer: -6, w, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)*y**3)\/((y\/(y\/y**(-7)))\/(y\/y**(2\/5)))*((y*y\/(y*y**4))\/y**(-1))**(11\/3) assuming y is positive.\nAnswer: y**(157\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14846 + -5498?\nAnswer: 9348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 24. Let s be g(12). Suppose -24*r + 29*r = s. What is the tens digit of 649\/7 + r\/42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from lqzxzzzlxlxqz?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, g: 1, w: 5}. Give prob of picking 1 w and 2 y.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-256)\/(-495) - (-40)\/(-50)) + (-56)\/(-252)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 0 - 4) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 6 - 41*u + 7 + 0.\nAnswer: -41*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-90)*-10*9*-103)\/((-54)\/(-54))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/2)\/a)\/((a**3\/a)\/a)*(a\/a**(-1))**(2\/27) assuming a is positive.\nAnswer: a**(-235\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**2 - 490*v - 495 = 0.\nAnswer: -1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -132?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146 + 146 + 7*t)*(-54 + 66 + 80).\nAnswer: 644*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 0) + (-29 - -33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + -a7606?\nAnswer: -a7592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 386447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9*(u\/(u*u*u\/u**(-1\/9)))\/u assuming u is positive.\nAnswer: u**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 15*i + 18. What is r(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*j**2 + 259*j**2 + 7*j**3 - 39*j**3 - 244 + 258*j**2 + 265*j**2.\nAnswer: -32*j**3 + 2*j**2 - 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -589 (b) -513 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16.92, 3, 0.2?\nAnswer: -16.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0275 minus -14.8?\nAnswer: 14.7725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 12 = 0. Suppose b - 10 = -z*b. What is the first derivative of 4*c**3 + b + 2*c**3 - 4*c**3 - 3 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:41 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150604674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2144 - -2230. Solve 2*r - 76 = -x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12*d - 399. Let n be m(-47). Suppose 21 = 2*o - 1. What is the greatest common divisor of n and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1113207, 2226397, 3339575, 4452735, 5565871?\nAnswer: 6678977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 11*o - 12. Suppose 0*k = -k + 1. Let a(y) = -o - y + k + 3*y. Determine a(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77864 times 0.2?\nAnswer: -15572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 2287*s**3\/3 - 2735*s + 527. What is the first derivative of m(w) wrt w?\nAnswer: 4574*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*k - 2678 = 0, -30*r - 1328 = -32*r + 3*k. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -294, -170, 96, 546, 1222?\n\"Answer: 7*b**3 + 29*b**2 - 12*b - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5456 by 1364.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -732, -1490, -2260, -3042, -3836?\n\"Answer: -6*k**2 - 740*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 5. Let t(o) = o. Let g(l) = h(l) + 2*t(l). Let f be g(0). Find z, given that -5*z + 10*z**3 - 2*z**f + z - z - 3*z**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66650365, 66650355, 66650333, 66650293, 66650229, 66650135?\nAnswer: 66650005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 1861 + -1860.5. What is the smallest value in 0.4, -5, 1.2, u, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -d + i, 1 = d - 2*i - 5. Let g = d + 3. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 7. Suppose s + 1 = 5. Let b be z(s). Solve 8 = b*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 0, 3, -3565 in descending order.\nAnswer: 3, 0, -5, -6, -3565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -2.03936, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317542075 rounded to 3 dps?\nAnswer: 0.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8845097 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*4 + -5)**2 + -4.\nAnswer: -320*sqrt(13) + 13333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 374141.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*r - 10642 = -213*r + 5047 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3\/3 + 4*o**2 - 10*o + 5. Let r be t(6). Suppose -3*u = 3*c + r*c - 117, -8 = -2*u. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 7, i: 1}. What is prob of sequence pwp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 17*d. Let r be ((-22)\/(-12) - 0) + 9\/54. Let k(z) = -87*z**2 - 87*z**2 + 188*z**r. Calculate k(f(q)).\nAnswer: 4046*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:10 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/447913 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2000 and 9?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*u**2 + a**2 + 2*a*u**4 - 12*u**2 + 20 wrt u?\nAnswer: -2*a**2*u + 8*a*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 - -1.9. Which is the biggest value? (a) -4 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/30 - 5*c**2. Let b(v) = -6*v. Give n(b(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*h**5 + 595*h**4 + 2995*h**3 - 10275*h**2 - 15480*h + 41040 = 0 for h.\nAnswer: -3, 57\/31, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-2072)\/185 + 5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74)\/(-112) - 18\/48. Let o = -1 + 1. What is the closest to o in -2\/11, 4, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*w + 23855004 = 0, -2*f + 5*f - 4*w = -14312992. What is f rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -2*c + 0*c**2 + 0 + 1\/6*c**4 + 0*c**3. Let o(a) = 1. Let m(k) = 4*k - 4. Let y(g) = 2*m(g) + 8*o(g). Calculate v(y(w)).\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.2 - 37.1999319. What is z rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 974*l + 14945 + 42890 + 21059 for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/(-25))\/(44\/(-110)). Which is the second smallest value? (a) -5 (b) w (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/(1\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:42 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -4. Let r be 0 - (-4)\/(-2) - t. Let y be 1*(-2 + 11\/6). Sort r, 3, y in descending order.\nAnswer: 3, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2127 - 2122. Solve -2*x + x = -m*c - 13, 1 = -5*c - 3*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let q(k) = -2497*k + 6455*k - 3016*k. Calculate q(a(v)).\nAnswer: 1884*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.15 + -289.15. Let i = j - -280. Sort i, 12\/13, -0.4 in decreasing order.\nAnswer: 12\/13, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1354 - 2*u + 16*u**3 + 621 + 2*u + 739 + 4*u**3.\nAnswer: 20*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Let n = m - -1. Suppose -2*g = -4*c - 2, 3*g + 8 = 4*c - 9*c. Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -619*k + 638*k. Which is the nearest to -1? (a) -1.4 (b) -144\/13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1136953, -2273903, -3410853, -4547803?\n\"Answer: -1136950*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -269409451.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n. Let h = 5 + -2. Let s(y) = -h*y - 2*y + 6*y - 2*y. What is s(g(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 29*s**2 + 170*s - 32. Let l be w(21). Solve 0*d + 2 = 5*c - d, -5*c - l = 5*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488332426?\nAnswer: 2, 7, 43, 2472313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 2)*(-10 + 22 - 4)*(13 + 32*d - 2 - 34*d) + 0*d + d + 0*d.\nAnswer: -111*d + 616","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 8 = -x + 4. Solve 12*q - x = 29*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -435\/8 or -4612?\nAnswer: -4612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -27 (b) 3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*(-381)\/(-127).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 31 = -3*h + 5*m, 5*h - 4*m = 30. Suppose 0*r + 8 = -h*r, -w + 4*r + 51 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**6\/120 - 13*q**5\/40 - 263*q**3\/6 - 117*q - 2. Let n(i) be the second derivative of t(i). Factor n(s).\nAnswer: -3*s*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(2\/5))\/g**5*(g**(1\/3)*g)**(-45))\/(g**(-12)\/g*g*g\/(g\/(g**0\/g)*g))**(-3\/8) assuming g is positive.\nAnswer: g**(-1357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2. Let v(b) = -604*b**2. What is v(j(a))?\nAnswer: -5436*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 41*c - 24*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100555885 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -9, -2, 0.4, -1.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4 + 697\/6 + (-6)\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l - 2*l - 1 + 3*l. Let u(i) = -i**2 + 3*i - 2. Suppose 3*q + n = -1, 2*q + n - 1 = -3. Let p(g) = q*u(g) - 4*f(g). Calculate p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -20*h + 1296. Calculate the greatest common factor of 440 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 260*x - 256*x - 15, 3*u = 2*x + 15. Let g(z) = -12*z + 4. Let i(m) = 11*m - 4. Determine u*g(w) + 6*i(w).\nAnswer: 6*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + sqrt(650) + (1*sqrt(650) - sqrt(650)))\/((sqrt(242) - (sqrt(242) - (sqrt(242) + sqrt(242)*3))) + sqrt(242)))**2.\nAnswer: 468\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000432594 rounded to 6 dps?\nAnswer: 0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 q when three letters picked without replacement from {q: 7, r: 1, b: 2, l: 1, u: 1, w: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5 = -2*t. Suppose 5*g + 0*g = -4*q, -3*q - 5*g - t = 0. Calculate the smallest common multiple of 9 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/6*-1)\/(3\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.09, 0.1, 2\/11, -8\/3, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqaallllullqpyq. Give prob of picking 1 p and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 268*x**3 - 24884*x**2 + 1678908*x = 0. Calculate x.\nAnswer: -79, 0, 69, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 289*l**3 + 44*l**2 - 19*l. Let q(f) = -145*f**3 - 22*f**2 + 8*f. Let u(o) = 5*q(o) + 2*r(o). Find the third derivative of u(n) wrt n.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, -12, -7, -4, -3, -4, -7?\n\"Answer: -i**2 + 10*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**2 - 41*i**6 - 96*i**6 + 71*i**2 + 105*i**2 - 16*i**6 wrt i.\nAnswer: -18360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -148. Let c = -32801 - -32806. What is the remainder when i is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, 2, 3\/7, 1 in decreasing order.\nAnswer: 2, 1, 3\/7, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 62.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4 + 7*k**3 + 326*k**2 + 61462*k wrt k.\nAnswer: -24*k**2 + 42*k + 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 622 + -2?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = w - 37, 0 = 31*w + 2*g - 767 + 230 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 2*u)*(-5 + 7 - 9 + 5 - 3 + 1 + (5 - 2 - 4)*(1 - 2 + 0) + 3 + 1 - 2)*(4*u - 5*u + 2*u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/((-28)\/147*11\/(-44)). What is the highest common divisor of l and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {g: 9, t: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463056778 to the power of 1\/2, to the nearest integer?\nAnswer: 21519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j. Let n(c) = -4*c - 14. Let y be n(-3). Let m = 4 + y. Let s(p) = -25*p**2 + 9*p**2 + 12*p**m. Determine s(x(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -897, -893, -887, -879, -869?\n\"Answer: m**2 + m - 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -6) + -14 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 92 = -l. Let c(g) be the second derivative of -g**5\/20 - g**4\/6 - g**3\/6 - 2*g**2 + 2*g. Calculate the remainder when l is divided by c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202341 (base 7) to base 8\nAnswer: 103254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7187822 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 - -109. Suppose 8*u - 3545 + 1241 = j. Does 48 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16899.42 rounded to the nearest 100?\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n + 8959 - 8959.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15292 = -2*g, -4*g - 7741 - 1455 = -3*f. Calculate the smallest common multiple of f and 84.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28021 and 10605.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**8\/c)\/(c*c\/((c**(-2\/17)*c*c)\/c)))**(-3\/7))**(2\/47) assuming c is positive.\nAnswer: c**(-702\/5593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2091?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -39*o**2 + 13045*o + 78273. Calculate s(-6).\nAnswer: -1401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 - 167. Solve -g = 5*g + d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*145\nAnswer: 72.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.179, -1506, -1?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:07 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373382465*c - 4 - 1373382461*c + 4.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose d*w + c - 9 = 0, 0 = -3*w - 3*c - 9 + 24. Let l(m) be the second derivative of 5*m**3\/6 - 4*m. Give l(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (84\/(-196) + 26\/28)*(-40)\/(-50). What is the biggest value in -4, 19, q, 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312031002 + 12?\nAnswer: 312031020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (16 + 1 + 4)) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 5\/12*i**4 - 35\/2*i**2 - 2 + 35*i + 5*i**3. Let z(f) = 0. What is f?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6.9. Let r = 2804.2 + -2804. Let h = -5 + 7. Which is the second biggest value? (a) r (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*(-3)\/(-6) + 1708\/(-305).\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 3) to base 11.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/86 and -44\/39947.\nAnswer: 79894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33780488?\nAnswer: 2, 7, 241, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k + 630 = -5*g, 5*k + 640 = -3*g. Let o = k - -116. Let m be 9\/o + 24\/40. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7366, 9772, 12178, 14584?\nAnswer: 16990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026363 rounded to 7 dps?\nAnswer: -0.0000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - 212\/(-20) - (-3)\/(-5). Factor 1\/6*m**4 + m**2 + 2\/3*m - 5\/6*m**g - 4\/3.\nAnswer: (m - 2)**3*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -19. Calculate the common denominator of 137\/(-33) + c\/6 and -53\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 0.232 (c) 1\/2 (d) -1\/7 (e) -2 (f) 54 (g) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9658319.\nAnswer: 11, 197, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31100 - -20?\nAnswer: 31120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:11 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s + 45*s - 6*s - 52*s.\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 418\/125 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 44042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 26*x + 51. Let z be q(-24). Let t be z\/(4\/24*6). Suppose -k + 46 = t*u, 4*u + 5*k - 34 = 3*u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((w\/w**44)\/w)\/w*w)\/w)\/w)\/w)\/w**(-1\/8))\/((w\/w**(-11\/7))\/w)**(4\/15) assuming w is positive.\nAnswer: w**(-39727\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*t**3 - 8739*t + 76*t**3 - 204*t**3 + 48*t**3 + 34*t**3 + (-3 + 4 + 1)*(t**3 - 2 + 2) as n*t**3 + r*t**2 + g + j*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -40*k**2 + 1. Let o(i) = -34*i**4 - 2*i**3 + 240*i**2 - 22*i + 5136. Let q(l) = -6*m(l) - o(l). Differentiate q(z) with respect to z.\nAnswer: 136*z**3 + 6*z**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Suppose 3*v = 3*u - 9, 2*u + 2*u = -d*v + 18. Suppose -2*x**2 + 5*x**4 + 2*x**2 - 2*x**u = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-10))\/(-6 - 364\/(-65))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 52 = 8. Let r be g\/4*(-126)\/35. Let w(d) = -d**3 + 11*d**2 - 15*d + 14. Let c be w(r). Calculate the greatest common factor of 287 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/58 and -16\/371229.\nAnswer: 742458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dce0 - -5?\nAnswer: dce5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26952 is divided by 1684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11966 + -23931\/2. Determine g, given that -g**2 - 7\/2*g - 3\/2 + 5\/2*g**4 + 3*g**3 + m*g**5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + 4)**2 - -1*sqrt(17)*-4.\nAnswer: 4*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 813660493 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-96))\/((-14)\/(-42))*6.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*k - 2238 = 5236 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from fsxfaafufsa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8*v - 3 + 320 = -3*v + 4*v + 10, 276 = -6*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011100 - -1111010011?\nAnswer: -111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4 + (4 - 9 + 13)*(-2 + 3 - 2))*(269*l - 493*l + 495*l)*(l - l - l).\nAnswer: 2439*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142078 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*r*t**3 + 11*r*t - 3*t**3 + 5*t**2 wrt t?\nAnswer: -840*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 26*p**2 + 0*p + 0*p**6 + 0*p**5 + 0 + 0*p**4 + 17\/210*p**7 + 1\/6*p**3. Find the first derivative of u(i) wrt i.\nAnswer: 68*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5293, -6671, -8089, -9547?\nAnswer: -11045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1 + -3)*7\/(-14) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 410*k**2 - 38*k + 116. What is the hundreds digit of u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 28*d**2 - 23*d + 40. Calculate l(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, l: 3, u: 1, z: 1, o: 3}. Give prob of picking 1 u, 1 o, and 2 l.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + sqrt(363) - sqrt(363).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-38))\/((-1)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*j - 35 = 0, -5*j = 4*x - 62 - 23. Let l be 18\/5 + 8\/x. Suppose 2*i - 624 = -l*i. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10 = 3*r, -4*r + 5*s - 3*s - 20 = 0. Let f(k) = k**3 + 6*k**2 - 5. Let p be f(r). Which is the second biggest value? (a) -4 (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/12 + k**2\/2 + 11*k. Let j be f(-1). Solve -2*q + j*q = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 27*l + 76. Let y be z(0). Let w be 2 - (-73 + (0 - 1)). Are w and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**4\/8 - a**2 - 749*a. Suppose 3*y - y - 4 = 0. Let l(d) = -2 - 3*d + y. What is o(l(s))?\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 332550*w**3 - 10*w**2 + 10953484*w wrt w.\nAnswer: 1995300*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -4 + -7 - 4) + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 34*i + 9. Suppose -11*u = -4*u - 28. Let d be k(u). What are the prime factors of (d\/116)\/((-1)\/(-60))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2209b - -2?\nAnswer: -22099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3593927 (base 11) to base 15.\nAnswer: 838d13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/4133385 - 20127104903\/33067080. Let u = v - -3004\/5. Find the common denominator of u and 103*(0 + 1\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + (sqrt(125) + 2 - sqrt(125)))*-4 + -4 + -4)**2*-5.\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 3*d - i = 23*d + 24, 5*i = -5*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 3. Let z(u) = -u. Let c(s) = -i(s) - 2*z(s). Let q be c(-3). Suppose q = -18*v + 22*v - 176. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2. Let s(l) = -98*l**2 - 8*l + 4. Let v(f) = -6273*f**2 - 510*f + 255. Let u(y) = 255*s(y) - 4*v(y). Determine u(p(q)).\nAnswer: 102*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 6*n**3 + 30*n**2 + 34*n + 12.\nAnswer: -2*(n - 6)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.44 + 0.06. What is the third biggest value in c, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-60)\/(-156) - -11)\/1.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65893 or 65743?\nAnswer: 65743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-12))\/((-14280)\/1632)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 8:31 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 123*n**2 + 11*n + 37. Let b be t(-3). Calculate the greatest common factor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6411 (base 8) in base 5?\nAnswer: -101322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5 + 3*h**4 + 28*h**3 + 19*h - 71?\nAnswer: 40*h**3 + 36*h**2 + 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-5)\/8 - 443417524\/(-23584). What is the greatest common divisor of 136 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17*w**2 + 6. Let v(p) = -14*p. Calculate v(k(a)).\nAnswer: 238*a**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5435, 43186, 145511, 344696, 673027, 1162790?\nAnswer: 1846271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627, -631, -647, -681, -739?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*i = 934 + 286, 0 = 2*i + 6. List the prime factors of r.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 2, n: 5, z: 1}. Give prob of sequence hs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -804 + 806. Sort 3, 18, g, -2 in descending order.\nAnswer: 18, 3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32397373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -186*p + 4737. Calculate t(36).\nAnswer: -1959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 33*q = 58861. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + 0*w)*(0*w + 0*w + w) + 311*w**2 + 2*w - 1446*w**2 - 118*w**2.\nAnswer: -1252*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 295*a + 309. Let q be h(-1). Solve 62*g + q = 59*g + y, 5*g + 24 = y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s - 219 - 69 = -2*s - 25*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237281 and 231451?\nAnswer: 94200557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*w = 31 - 32, -2*w = -4*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10 + -1 + -2 + 5 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16865.62066+-513\nAnswer: 16352.62066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 + 4. Let z = -50 + 45. Let q(d) = -4*d**2 + 5. Determine z*b(m) + 4*q(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(1\/5))\/c)\/c)**(2\/17) assuming c is positive.\nAnswer: c**(-12\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.418 * -19.\nAnswer: 729.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -10. Let m = o - 21. Which is the second smallest value? (a) m (b) -0.5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*((-29)\/4)\/((-269)\/2152)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -437420*j**4*k - 19*j*k**2 - 2*k**2 + 4158*k - 142 wrt j?\nAnswer: -1749680*j**3*k - 19*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*o**3 - 1 - 2*o**2 + 374*o**3 - 21*o**3 + 69*o**3 to the form q*o**3 + a*o + n*o**2 + s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -108, -129, -148, -165, -180, -193?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24324 - -28615. Which is smaller: y or 4290?\nAnswer: 4290","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*u = 312 - 310, -4*u = 5*a + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7*s - 156 = 0. Suppose 4*m = -5*d - 26 + 100, 0 = 2*d - 2*m - 26. What is the remainder when s is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25881163199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/15 + 1 + 1\/(-2)*95726\/(-31215)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*i**2 - 159*i**2 + 308*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2880 + -1419. Calculate the remainder when x is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 + 30b?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = 174*p - 432424. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, -51 in increasing order.\nAnswer: -51, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 6)\/(4 - 2). Let l(j) be the third derivative of 0*j**3 + 0 - 1\/60*j**5 + u*j**4 + 0*j + 2*j**2. Let v(f) = 2*f**2. What is l(v(i))?\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6717\/249 + (-7992)\/(-331668)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-2 - (-3)\/3). Suppose n*m = -2*m. Suppose m = 2*t - t. Solve t = -4*w - w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1053 - -1050. Sort q, 0.4, 8\/7, 1 in descending order.\nAnswer: 8\/7, 1, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191277842*p**3*t - 1036*p**2*t + 55382*p*t + 2 wrt p?\nAnswer: -1147667052*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140289 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -977275 divided by -75175\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500) - sqrt(500))*-4*2.\nAnswer: 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -17*w + 2. What is the remainder when (w\/1)\/(-5) - -37 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -77 - 3. Let q = i + -10. What is the least common multiple of q and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1037 + -1047 + (22 - (3 - -1 - 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by -1*(-8 + 156\/21 - (-297)\/(-7)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175513, -351016, -526519, -702022, -877525, -1053028?\nAnswer: -1228531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-87 - (4 + -3)). Let s = -82 - z. Solve 5*d - s*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in 0.5, -4, 3\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27344.87261 + 27345. What is z rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2495398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b97 (base 13) in base 15?\nAnswer: -3c98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -877*b + 2*j = -875*b - 76, 0 = 4*b + 2*j - 116. Let l = -4 + 6. Let r be 0 + l - (-3 - 251). What is the highest common factor of b and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, g: 9, i: 3}. What is prob of picking 2 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -680 + -108a7?\nAnswer: -11477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 - 103. Solve -5*v = -2*d - f, 3*v = -d - 0*v + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729365.\nAnswer: 5, 545873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2127294897 + -10604564989751\/4985. Let m = -2\/997 + u. Let i = -14 + m. Which is the biggest value? (a) -1\/4 (b) i (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c - 6000 = -20*c. Suppose -c*i - 1240 = -101*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3 (b) -1269 (c) -1\/42 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 15. Let l be 1\/(-4*j\/24). Suppose 2*h - l*h = -16. Solve -v + 5*x - 18 = 0, -v - 30 = h*v - 5*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 3*f - 19. Let a be l(8). Is -4 + 2 + a\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2*sqrt(1053) - sqrt(1053))**2 - sqrt(13)) - (sqrt(13) + sqrt(52) + -2 + sqrt(13) - sqrt(52)*-1)**2.\nAnswer: 23*sqrt(13) + 579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -633\/8 + 3173\/40. Let k(m) be the first derivative of 15 - 4*m**3 + 4*m**2 + 3\/2*m**4 - v*m**5 + 0*m. Suppose k(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/20 + 5*t**4\/12 + t**3\/2 + 5*t**2\/2 - 6*t. What are the prime factors of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + 15\/(-10)*-5. Solve 2*j = -x - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-140)\/(-8) - 4\/(-8))*(-2)\/6. Let m = 10 + -5. What is the smallest value in p, 2\/15, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-6 - -2) + 12 - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292631517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 195*b. Let d(z) = 35*z**2 - 2. Give d(g(c)).\nAnswer: 1330875*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2*-1 - (sqrt(171) - ((1*sqrt(171) - sqrt(171)) + sqrt(171)))*5)\/((sqrt(27)*-1)\/sqrt(3) + (sqrt(81) - sqrt(9))*-6))**2.\nAnswer: 76\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734 + 4*s + 261 + 262 + 211.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 225 = 3*l, -30 = -2*c - 4*l + 46. Suppose 0 = -5*i + f - 4*f + 28, 4*f = 4*i - c. Is (16\/(-3))\/(i\/(-12)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 11*t**2 - 13*t - 6. Calculate the remainder when 23 is divided by q(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -16. What is the least common multiple of g and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 0*l**2 - 3*l**2)*(-2 - 3 - 1)*(88*l**2 + 13*l**2 - 27*l**2).\nAnswer: 888*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 + 22?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.38 * -1.81977\nAnswer: -2.5112826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 8. Let m = -987 + 996. Calculate f(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1511 - -2139. Suppose 2085 + 427 = 4*m + w, 0 = -m - 2*w + y. Let a = m + -357. Is 51 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/420)\/(9\/(-48)*-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03742 times 0.5\nAnswer: 0.01871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425.4227 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by -26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9.5 times 0.6\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}