diff --git "a/data/dm_maths/full_data/11239_11255.jsonl" "b/data/dm_maths/full_data/11239_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11239_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 16, what is 1 + 2aa?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 3253.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7712997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*k - 9 = k, -5*d + k = -25. Let y = 0.22 - -0.78. Let n = y + 0. Which is the nearest to -10? (a) -0.2 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 8. What is the third smallest value in u, 3, -3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10809 + -10869 - (1 - -34).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 44. Suppose u = 3*n - 3*i, 3*i - 53 = -3*n + i. Let j = -28 - -46. Is n not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 2, f: 4}. Give prob of sequence fkzk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 6770845 and 136.3.\nAnswer: 6770981.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6\/14 - ((-76920)\/56 - 18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 11. Let y = 58.07 - 0.07. Let v = 61 - y. What is the closest to v in d, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((12\/(-35))\/(-6))\/((-2)\/(-10)))\/(27781\/(-2137))\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102412549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -163, -155, -143, -127, -107, -83?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -43. Let o = 143 + r. Suppose -o = -3*p - h, 5*h = -0*p + 2*p - 28. Solve p = -4*f - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 164988 and -1909424.\nAnswer: -1744436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 8*k - 16. Let o be b(-6). Let d(g) = -10*g**2 + 4. Let w(u) = 81*u**2 - 33. Give o*w(t) - 33*d(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7238 (base 14) to base 3\nAnswer: -222221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 9*f**2 - 13*f + 11. Let q be s(-7). Differentiate 43*w**4 + 3*w**3 - 3*w**3 - 15 + 33*w**q with respect to w.\nAnswer: 304*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1245*k + 5 - 694*k.\nAnswer: -1939*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5 = 25 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**8\/20160 - j**7\/1008 + j**6\/360 - j**5\/60 + 5*j**2. Let n(v) be the third derivative of m(v). Determine n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 13*j**2 - 13*j + 14. Let c be p(12). Let o(q) = -q**3 + 2*q - 3. Let x be o(-3). What is the greatest common factor of x and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 o when four letters picked without replacement from oofffffofoffffooooo.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -5 (c) 0.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30822891661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 3264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 18646*q**2 - 112058*q + 1026190.\nAnswer: 2*(q - 9329)*(q - 5)*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + 2 + -6 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5 + 14*h**4 + 35*h**3 + 22*h**2 = 0.\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*(-23)\/((-345)\/(-20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p + 15*l - 255 = -45*p, 0 = 2*p + 2*l - 100 + 74 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 91288533 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-72)\/(-24)*(0 + 18) is divided by (-4)\/(-2) - (2 - 19).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/5))\/(n\/(n*n*n**(3\/5)\/n))*(n**(-2\/5)\/n)**(19\/3))\/(n**4*n**(-3)\/n)**(34\/7) assuming n is positive.\nAnswer: n**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/21 (b) 0.055 (c) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101289 - 25323 - 25321 - 15*x - 25324 - 25321.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 40 = -5*n, -3*n - 42 = -5*d - 7*n. Calculate the lowest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -501*h - 2489. Calculate s(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-10))\/((-2)\/(-10)). Suppose -4*k = -0*h + 3*h - 9, -4*h = k - 12. What is the second derivative of 6*s - 27*s**x - 3*s**5 + 27*s**h wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/303 or 7?\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172137 (base 8) in base 10?\nAnswer: 62559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4)*p**(-1\/7))\/((((p\/p**12)\/p)\/p)\/((p*p*p*p\/(p**0\/p))\/p)) assuming p is positive.\nAnswer: p**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-129) - ((-68 - (-69 + 4)) + 10\/3)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s + 19*s + 6*s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (-18 + 39 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/3*-274 + (-25)\/(-15)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91696*w**2 + 4212*w**2 + 7123*w**2.\nAnswer: -80361*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 9042?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1011*h**4*t**2 - 2*h**4 - 16*h**2*t**2 + 3*h**2*t - 6*h wrt h.\nAnswer: 24264*h*t**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b = 9*b + 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-18 - 1) - (13 + 32).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.3. Let x = 0.3 - n. Let d be (1\/9)\/((-1)\/(-2)). Which is the nearest to -0.1? (a) x (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2347121*c. Let a(i) = -10*i + 2. Determine a(h(u)).\nAnswer: -23471210*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from xnxdxxvvxppxnnpxxxvx?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61311*y + 2380263986 - 2380263986)*(-5*y + 4*y + 2*y) to the form s + v*y + k*y**2 and give k.\nAnswer: 61311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57851541 or -57851542?\nAnswer: -57851542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 76*q. Let i(u) = u. Calculate i(z(r)).\nAnswer: 2*r**2 - 76*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132321000 divided by 151224.\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 7) to base 16.\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/315 and -13\/1764.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 532 (base 6) to base 10\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.4 (c) 0.1 (d) 4 (e) 1.4111\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ab45 (base 12) to base 11.\nAnswer: -1022a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16009, 16055, 16147, 16279, 16445, 16639?\n\"Answer: -j**3 + 29*j**2 - 34*j + 16015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*u + 13202 + 10722 - 3569. Is 884 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80629665*b**3 - 340978*b**2 + 45*b - 2.\nAnswer: 483777990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18736775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -30*g - 63. Let x(t) = 7*t + 16. Let u(q) = 4*a(q) + 18*x(q). Is 11 a factor of u(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/63 and 89\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*((-1)\/2)\/(55\/66). Suppose -j + 3*n - 2 = -w, -3*j + 5*n = -3. Solve -x + j = -2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(1440)*-3 - sqrt(10)) - (2 + sqrt(52) + 5 + sqrt(13) + -1 + sqrt(13)).\nAnswer: -149*sqrt(13)\/37 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Factor m + 1 + 3*s - 2*s**2 - s + 0*s.\nAnswer: -2*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1 - 2*p**2 - 13*p - 5*p**2 + 7 - 24*p**3 - 5. What is the hundreds digit of i(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 512*w**2 + 31418*w - 31928.\nAnswer: -2*(w - 307)*(w - 1)*(w + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*k + 190. Let v = 216 + k. Let t = v - 29. Calculate the greatest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 20 - (-2 - 121)) + (-69 - (-23 + -37))\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(175) + -1)**2 - (1 + sqrt(175) + 0)**2) + 5.\nAnswer: 8 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/5 (b) 39\/95 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 267*p**2 + 730*p + 48. Calculate q(-3).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2835500 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-190))\/1*1\/1.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 + 0 + -8 + -5 + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51695 - r + 51727 - 155112 + 51690.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i - 3 = 0, -2*a = -3*i - 3. Suppose a*b - 26 = -4*m + 5*b, -2*m + 9 = 3*b. Let c(j) = 3*j + j + 0*j - m*j. Let s(u) = 2*u. What is c(s(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-30) + (-81)\/15. Let y = s - -39. Let k = y + 12. Calculate the remainder when 137 is divided by k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 7)*(-14 + 11 + 9)*(0 - 2*y + 0) in the form q + c*y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 176 + -77. Round a to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4222182.\nAnswer: 2, 3, 503, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22899 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.405 * -145\nAnswer: -58.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 4*c - 354. What are the prime factors of c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357a (base 14) to base 7.\nAnswer: -36113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/4 + 4*f. Let b(u) = 6*u**2. What is q(b(y))?\nAnswer: 108*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:33 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4\/4 - 19749*v**3\/4 + 455697*v**2\/4 - 773091*v\/4 - 624267\/2 = 0. What is v?\nAnswer: -6606, -1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 0, -m + 6*m + 3*u - 5 = 0. Solve -f - 4 + m = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(((-5)\/(-53))\/5). Let f = -37 + x. What is the least common multiple of 10 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764\/380587 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:01 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1092 and 336.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 + -2. Let m = i + 0.4. Let t = 0 + m. Is t at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-120 + 211 + -94)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 = 0, 3*b + 4*c - 368 + 351 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37890453.9 - -627?\nAnswer: -37889826.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 - 9*t - 1. Let q(i) = 2*i**2 - 2*i - 50. Let d(n) = -3*n**2 + 3*n + 70. Let g(m) = -5*d(m) - 7*q(m). Calculate 2*g(h) - p(h).\nAnswer: -2*h**2 + 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 90835069 from 0.2.\nAnswer: -90835068.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**3 + 24*d**2 + 177*d + 4. Determine c(-5).\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 + 3041*o**2 + 46589*o?\nAnswer: 12*o**2 + 6082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3730 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627232613 is divided by 1205?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35740 and 35740.\nAnswer: 35740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 15. Calculate the remainder when 0 - -4*(-5 + 63\/4) is divided by u(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikkkiiiikkirkrioki. What is prob of sequence ki?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2\/5, 4, -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + c = 198, -2*c + 25 = -2*n + 223. Round n to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53721 and 15.\nAnswer: 268605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*n - 295614 + 291918 = -16*n for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 4. Let u be 2\/(-2) - 10\/(-2). Let g be l(u). Suppose -2*o - 54 = -4*f, g*f - 57 = -2*f - 5*o. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020931983 to 4 decimal places.\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1\/4, -0.12.\nAnswer: -1\/4, -0.12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(20)\/sqrt(4)*3.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -514*l**2*r**3 - 3*l**2 + 22*l*r**3 + 4*l*r**2 - 6*r**3 + r**2 - 893 wrt r?\nAnswer: -3084*l**2 + 132*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -19*g**2 - 405*g - 118. Let f be a(-21). Solve -41 - f = 7*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*b + i - 28, i = 4*b - 168. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 28. Let v(u) = 13*u**3 - 29*u**2 - 28. Let a(y) = 3*y**3 - 7*y**2 - 7. Let g(r) = -9*a(r) + 2*v(r). Is g(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/256 + -889\/3328. Let u = 2 + -2.8. What is the biggest value in u, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.1 + 19.1. Let d = 6 - 8. What is the second biggest value in d, 3\/5, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 994*w - 1987. Calculate a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -226517845 and 2.\nAnswer: -226517843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 e, 1 u, and 1 a when four letters picked without replacement from uoeaogme.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1190.5 from 3.\nAnswer: -1187.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/4 + 3*b**4\/4 + 9*b**3\/2 - 8*b**2 - 24*b = 0. Calculate b.\nAnswer: -3, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:37 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3\/5 (b) 4 (c) -2\/15 (d) -32 (e) 77 (f) -310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.3902 rounded to 1 decimal place?\nAnswer: -168.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 12:05 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 26*g - 191. Which is the nearest to -1\/3? (a) 3 (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = 2*x - y, -4*x - 3*y - 148 = -983. Suppose 3*n - 1166 - x = 0. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 5. Let d(m) = m + 2. Let f(a) = 13*d(a) + 6*x(a). Let t be f(4). Solve -4*i + 9*i - 5 = t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -19. Calculate the remainder when a is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (315\/(-6))\/((-1165)\/466)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(9 - 6 - 12)*(-1 - 2*l**5 + 1).\nAnswer: -54*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33913203 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 324*c - 5. Suppose 5*i - 1 = 3*u + 3*i, -2*u + 12 = 5*i. Let k be v(u). Suppose -9*g + k = 2*g. What is the remainder when g is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -89. Let h(p) = -p**2 - 5*p - 11. Let k be h(s). Let f(c) = -7*c**2 + 2*c + 2. Let u(y) = 13*y**2 - 4*y - 4. Give k*f(a) - 6*u(a).\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f**4*h**3 - 300*f**4 - 21*f + 2*h**3 - 107*h**2 wrt f.\nAnswer: -84*f**2*h**3 - 3600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = -2*r, -13 = -2*r + v + 2. Let n = -4 + r. Suppose -19 = -5*f + 3*j, -n = -5*f - 2*j + 23. What is the remainder when 14 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 1709*n + 7557763\/4.\nAnswer: (n - 5449)*(n - 1387)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/35 - 28\/10 and -3\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:46 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 420 = 18*p. Is 42 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 - 10*v - 67. Let r be n(5). Let t be -1*(2 + -73) + 1. Calculate the greatest common divisor of r and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 184\/10*40\/8. Suppose c = 2*u + 2. What is the remainder when u is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l**3 - 92 + 0 + 30 as b*l + y*l**3 + p*l**2 + h and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 2. Let h = 5 + -7. Let b be t(h). Solve b = -5*x + 2 + 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -43 (b) 644 (c) -0.0499\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -p - 3*l - l, -4*p + 84 = 4*l. Let s be 8*6 - (2 + 1). Calculate the greatest common factor of p and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 427 + -54576?\nAnswer: -54148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*s = 213*s - 268872. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 44\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/13)\/i**(-10\/7)*(i**(-6\/11))**(-24) assuming i is positive.\nAnswer: i**(14688\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 1 w when three letters picked without replacement from xxxxsqwtt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - f - 1522. Let u = f - 535. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -17*n**4\/12 - 51*n - 180. Let q(p) be the first derivative of y(p). Let m(x) = x. Calculate q(m(t)).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-10) - (-1971633)\/(-210). Let u = 9381 + z. Let g = -28\/435 + -2621\/580. Calculate the common denominator of g and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 15335333?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 3029.586?\nAnswer: -1514.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-220)\/(-88)*(-12)\/(-10). Factor -1\/3*x**2 + 0 + 0*x - 1\/3*x**4 + 2\/3*x**s.\nAnswer: -x**2*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21644131 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c + 28. Let l be p(-7). Solve q - 5*q = l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 - -56. Let r = -36 - d. Suppose 2*a + 4*z = 24, -3*z + 10 = 2*a - 15. Calculate the remainder when r is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 0*r**3 + 0*r + 60 + 0*r**2 + 5\/24*r**6 + 15\/8*r**4 + 5\/4*r**5. Find a such that p(a) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-12)\/(-33)) + -1. Let t = 17 + y. Suppose 24 = 4*l - 4*f, -l - 3*l = t*f - 6. Solve -2*h + 7*h = 10, -l*j = h + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-75))\/(5*(-48)\/200)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgscsccghsccgcccchc. Give prob of sequence hh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, 2390792 in descending order.\nAnswer: 2390792, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(13640\/(-894)) + (-2)\/10. Let x = -7\/62 + k. What is the second smallest value in -0.5, x, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -17.\nAnswer: -17, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4)*g)**47*g**(-6)*g\/(g**(-4\/13)\/g) assuming g is positive.\nAnswer: g**(-1270\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -2*h - 270574, -5*h - 5*b = 676385. Let v be ((-4)\/2)\/(-2)*h. Let m = v + 235281. Round m to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -1438?\nAnswer: -35950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14031?\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, 1, 5, 3073, -140.\nAnswer: -140, -4, -2, 1, 3, 5, 3073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63 or -69?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*z + 903 = -327, 0 = 5*j + 3*z + 1198. Let u be ((-396)\/j)\/((-3)\/(-22)). What is the highest common factor of u and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11927150311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 0 = 7. Let a(l) = -l**3 - 4*l**2 - 2. Let n be a(-3). Let w = d - n. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvvff. Give prob of sequence vv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 - -253. Suppose -7*q + 2*t = -8*q + 28, d*t = 15. What is the lowest common multiple of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 12392235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 2 - 1 - -3. Solve r*s = -0*w - 3*w + 7, 4*w = -5*s + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 41 (c) -5\/3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -28. Suppose -k = 5*h - h. Let u(l) = -l**2 - 3*l - 1 - 10*l + 12*l. Calculate u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -882 by 2.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5*-6*4\/(-6) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007744672235 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from edekddkdkdddkedwdk.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52028502308.23 + 1?\nAnswer: 52028502309.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let r(u) = 12*u**2 + 1. What is d(r(k))?\nAnswer: 288*k**4 + 48*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 3. Let w(p) = -4*p + 6. Let z(v) = k(v) + w(v). What is z(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-820)\/120)\/(-41))\/(1\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 100, 195, 308?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4723\/2 + -2332. Which is the smallest value? (a) -3 (b) 2\/3 (c) 0.11 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 58*j - 89. Calculate s(31).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhnhnnnhnnhnnnhhhnn. What is prob of picking 3 n?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -530091\/160 + 16573\/5. What is the common denominator of (-85)\/(-8)*(-1137)\/(-3790) and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*d**5 + 21*d**4 - 21*d**4 + 3*d**5 + d**5 - 5*d**5 + (-3*d**4 + 2*d**4 + 0*d**4)*(-5*d + d + 2*d) + d**5 + 3*d**5 - 5*d**5.\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxmmqqxxxxxsxxsxx?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let z = n - -16. Suppose -q + 21 = 2*q. Solve -w = 5*u + z, q = 2*w - u + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/181812 and -115\/6672.\nAnswer: 727248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783 divided by -9.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 6*n**2 - 9*n + 7. Let l be 8\/2*7\/(-4). Let t be g(l). Let s be (-2939994)\/t + 6\/(-21). Round s to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r - 423 = 51*r. Let y = 245 - r. What is the highest common factor of y and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28036751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*y = 2, 5*n + 13*y = 11*y + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2395.4 - -2395. Let j = 31 - 27. What is the nearest to 4\/3 in b, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 1, 4 in descending order.\nAnswer: 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12010758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 113*k - 2445. Give y(-76).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 - 55. Suppose 1 = 2*q - 27. Let g = q - 4. Calculate the highest common divisor of g and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 129. Let y be (-26)\/(-52)*(7 + 0 + m). Sort 2, -1, y, 8 in descending order.\nAnswer: 8, y, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25969225 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 + 11*j - 6. Suppose 8*t = 3*t + 2*l - 10, 4*t + 2*l + 8 = 0. Let g(h) = -2*h + 8*h**2 + 1 + 3*h**2 - 10*h**2. Give t*p(q) - 11*g(q).\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75454 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137557 and 26789?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/12)\/((-3)\/6). Let x be (8\/12)\/(4\/(-30)). Which is the smallest value? (a) r (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66 + ((-2)\/(-4)*-2 - (160 - 155)). Let d(r) = r**3 + 3*r**2 + r + 2. Let z be d(3). Which is greater: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/24 + t**2. Let k(v) be the second derivative of 0 - 2*v + 0*v**2 + 1\/3*v**3. What is k(p(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126712 - -32074. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 1060 - 1024 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q, 4*c = 4*q - 7*q + 9. Suppose 2*b + 14 = n + n, -c*n = -b - 25. Suppose 0*f - f - d + n = 0, f - d - 13 = 0. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2353, 4692, 7031?\nAnswer: 9370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 5*g**3\/3 + 5*g**2 + g. Let p be s(-3). Let h = -6 - p. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 250.1 from 34.8.\nAnswer: -215.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -592980 - 107*r + 592980. Let l(d) = -36*d**2. Determine b(l(j)).\nAnswer: 3852*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 54 + 48 = 0. Suppose 0 = -i + c - h*c - 1, 2*c = 4*i - 26. Suppose 24 - 4 = -i*m. Is -1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - -1a562740?\nAnswer: 1a56272a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 4*o**2 - 2*o + 2. Let m be l(-2). Let u be (-20)\/m*(-246)\/5. Suppose 4*t = 5*d + 158, 0*t = -4*t + 2*d + u. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.41 to zero decimal places.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (101\/((-10908)\/54))\/((-1)\/(-4)*-13)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 9:04 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/90 and -43\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6641, -26240, -58903, -104630?\nAnswer: -163421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 188. Suppose -2*r + 286 = -m. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 - 464. Let i(t) = 3*t**2. Determine i(h(w)).\nAnswer: 75*w**4 + 13920*w**2 + 645888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21676 + 21746.871. Let w = 0.129 + a. Let g = -77.8 + w. What is g rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -1\/12 (c) 4 (d) -5 (e) -6 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (14 - (24 - 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 8*j - 5. Let v be i(9). Let z be -6*(9\/(-6) + -1). Let d be 2\/3*z\/(-10). Put d, 5, v in descending order.\nAnswer: 5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 - 174. Which is the fourth smallest value? (a) -0.3 (b) x (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 114 - 109 - (2 + -4 - (-1 - -3))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -67649 > -67649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 70*x**2 - 9722*x - 428. Determine p(139).\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5879 + -2563. What are the prime factors of u?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4\/15, -0.4, -410?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*f + 8 = -68, 114 = 3*s + 3*f. Which is bigger: 37 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39621666 is divided by 39621593.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(36)\/sqrt(3)) - (sqrt(810) + (sqrt(810)*-1 - sqrt(810))))\/(sqrt(20)\/(sqrt(180)\/sqrt(5))).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8401841 and 89474.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72\/50471 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 + 498*r**3 - 18*r**2 - 143685*r.\nAnswer: 12*r**2 + 2988*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*sqrt(10)\/(sqrt(15)\/sqrt(3) + sqrt(5)))**2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 9*a + 15*a - 22*a + 10*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.4, 7, 2, -196?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7231f5 (base 16) to base 11.\nAnswer: 425183a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-24)\/18)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/(26\/(-12)). Let y = 63 + -93. Let i = 28 + y. Which is the nearest to i? (a) -1\/3 (b) -1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 5*b**2 - 5*b + 4. Let f be r(4). Suppose -5*s + 5*p + 426 + 219 = f, -s + 121 = -3*p. Let n = s - 59. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 154*c - 74. Let s(k) = -55*k + 26. Let m(f) = 6*b(f) + 17*s(f). Let a(v) = -v. Calculate -2*a(w) + m(w).\nAnswer: -9*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let t(f) = -f + 2*f**3 + 3*f - z*f**3 - f. Let s(w) = -4*w**3 - w**2 + 3*w. Give 2*s(j) - 6*t(j).\nAnswer: -2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:28 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 38, 13, 3, 5 in descending order.\nAnswer: 38, 13, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p**2 + 2*p + 5. Let u(z) = 7 - 2 - z - 4. Let g be u(6). Calculate the least common multiple of v(g) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**6\/45 + 19*w**5\/90 + w**4\/9 + 55*w. Find v, given that h(v) = 0.\nAnswer: -6, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose -2*l = 6, 5*c - f*c = l + 21. What is the remainder when 15 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*q = -122*q + 153. What is the second derivative of -34*u + q + 260*u**2 + 53 + 33*u wrt u?\nAnswer: 520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1949 not equal to -1974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3622\/3622)\/(((-9)\/24)\/((-177)\/4)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a - 405. What is x(20)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 6. Let z be v(6). Let r = 49 - 47. Suppose -y + r*y - 2 = z. Solve -2 = -s + y*s - j, -2*s = 2*j - 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4514, 8888, 13262, 17636, 22010, 26384?\nAnswer: 30758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6240000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -49743?\nAnswer: 49735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, w: 3, g: 2, n: 2, h: 3}. What is prob of picking 1 l and 1 h?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148 + 55. Round o to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(5 - -3))\/1. Which is the nearest to 0? (a) 1 (b) v (c) -2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -8*h**5 - 44*h**3\/3 - 32*h + 3. What is the second derivative of n(s) wrt s?\nAnswer: -960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1036*i + 144*i - 148*i)*(-2*i**4 + 0*i**4 + i**4).\nAnswer: 1040*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 19*b**3 - 9*b**2 - 3*b - 5. Let s be y(-3). Let w = -398 - s. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405646543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/4 - 5*s**3\/3 + 9*s + 12. Let y be ((5 - 10)\/(-1) + -2)\/(9\/(-15)). Give l(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 43 = 10*b + 73*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/5, 2\/5, 20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {y: 15, c: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a factor of 506660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7316 - 7315.9. Which is smaller: -511 or i?\nAnswer: -511","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3))**(4\/25)*l\/((l\/(l**(-20)\/l))\/l)*l*l\/(l\/l**(1\/2))*l assuming l is positive.\nAnswer: l**(-2609\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 2*v**2 + 2*v**2)*(v + 0 + 0) + 2*v**4 - 4*v + 4*v + v**4 + 2*v**2 - 2*v**2 + (3*v - 3*v - v)*(v**3 - 4*v**3 + 5*v**3).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.897 and -0.2.\nAnswer: 2.5794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 3*u**2 + 4*u + 1. Let t(b) = -b. Let j(x) = n(x) + 4*t(x). Suppose 2*l = 3*l + 3. Let p = 6 + l. What is j(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/9 + 398*p**3\/3 - 2734*p**2 + 45622*p\/9 - 2468 = 0 for p.\nAnswer: -617, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 - -245. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f = 4*j + 16, -2*j + j + 12 = 5*f + 8*f - 8*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwajzpaappazajplpl. What is prob of picking 2 z, 1 w, and 1 l?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {z: 2, u: 4, t: 4, b: 1, m: 8}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/15 - g**4\/24 - g**3\/6 - g**2. Let q = -20 - -24. Suppose -q*i - l - 3 = 0, 5*i - i - 2*l = -6. What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + ((sqrt(2205) - (sqrt(2205) + -2*sqrt(2205) + sqrt(2205))) + -2*sqrt(2205))\/((sqrt(729) + sqrt(729) + (sqrt(729) - 1*sqrt(729)))*-3)*5)**2.\nAnswer: 70*sqrt(5)\/9 + 111101\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/60 + 4*h**2 + 2*h. Let u(d) be the first derivative of n(d). Let y(l) = 11*l**2. Determine u(y(s)).\nAnswer: -121*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 7*u = 5*h, h - 19 = -4*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**4\/2 + t**2 + 3*t - 2. Let k(c) = -c**3 - c - 1. Let q(y) = 4*i(y) + 12*k(y). Find the second derivative of q(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**2 - 8*z**2 + 5*z**3 + (4*z**3 - z**3 - z**3)*(-6 + 12 + 6) as x + v*z**3 + w*z**2 + p*z and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**6 - 17*y**5 + 2*y**2 + 10*y?\nAnswer: -480*y**3 - 1020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuw. Give prob of sequence uw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2925 = -32*x + 8589. What is the greatest common divisor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508 + 509 - 17*k**2 + 513 + 43*k**2 - 1530.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 1. Let y be x(2). Let p(i) = i. Let a be p(y). Suppose v = a*v - 20. Calculate the lowest common multiple of 8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 - 6 = -5*t. Let a be ((-335)\/t + 3)*-4. Which is bigger: a or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645308.\nAnswer: 2, 29, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-22)*n**27*n*(n**18)**(1\/12) assuming n is positive.\nAnswer: n**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6216*c - 14008 = 6010*c for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3 - 7. Let g be 3 + (5 - 1) + n. Solve 2 = -2*l - g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. What is the derivative of 11 + 5*i - 12 - 10 + o*i wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 376 + 380 + 3*i. Suppose 2*o - 78 = 8*o. Let m(p) = 3*p - 9. Let z = -119 - -113. Determine o*k(j) + z*m(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b*b*b**(-32)\/b*b))*b)\/(b\/(b**(2\/61)\/b))*b**(37\/3)\/(b**34\/b*b) assuming b is positive.\nAnswer: b**(-9449\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68\/3*(-3)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1571974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12435550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1001220 (base 3) to base 13\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482177?\nAnswer: 3, 557, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from wwwjrowwfsowjojwoswo.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1125737 (base 8) to base 2.\nAnswer: -1001010101111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 8*u + 10. Let c(k) = 2 - 5*k**3 + 7*k**2 - 5*k + 2*k**3 + 2*k**3. Let a be c(6). List the prime factors of r(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5 = -5*n - 36, 0 = 5*k - 3*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -3 + 2\/5*i - 2\/5*i**4 - 4\/5*i**2 + 2\/25*i**5 + 4\/5*i**3. Suppose t(d) = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 3, 1, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a factor of 256224001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10\/13 (b) 5\/6 (c) -2 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12028, 24052, 36076, 48100, 60124?\n\"Answer: 12024*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 25139 - 25139.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 2*b**2 + 37*b + 3. Let t(o) = 3*o**3 - 3*o**2 + o - 1. Give -s(q) - t(q).\nAnswer: -q**3 + q**2 - 38*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 55 - 19 - 22 + 7*c.\nAnswer: 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 70884.48t?\nAnswer: 70884480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**3 + 2*j**3 + j**3 + 6*j**3 - 2*j**3 + 0*j**3 + (6*j**3 - 3*j**3 - 4*j**3)*(-2 + 1 + 0) + 0*j**3 - 2*j**3 - j**3 - 5*j**3 + 2*j**3 + 2*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Solve k*w = 2*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 89 + 5?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/16 - j**3\/12 + j**2 + 3*j - 9. Let a(q) = 0. Calculate q.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64882071?\nAnswer: 3, 7209119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1352 - -1351.9. Sort 1\/13, -2, p, -3\/5.\nAnswer: -2, -3\/5, p, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4530 - -14465. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 4*s**2 + s**2 - 2*s**2. Let i(k) = -7*k**2 - 5*k - 5. Let d(p) = 70*p**2 + 49*p + 49. Let x(w) = -5*d(w) - 49*i(w). Determine x(j(g)).\nAnswer: -63*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1059*c + 2307. Is 22 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3635*m - 19616 - 302058 = -621*m + 206070 for m.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 - -45)\/((21\/(-4))\/(-7)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.62 - 0.62. Which is the smallest value? (a) 4 (b) 5 (c) l (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 554, 0, 132, 2 in decreasing order.\nAnswer: 554, 132, 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 + 4 + 16*g**3 + 51*g**3.\nAnswer: 67*g**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -0.084, -14, 144, 88\/5?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:32 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 121 - 127 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -21303?\nAnswer: -21266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 141430 to the nearest one thousand.\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*13\/5 + -7 + 2. Solve -6\/5*d - v - 9\/5*d**2 - 4\/5*d**3 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 1\/4, -0.091?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a642 - 2a?\nAnswer: 1a614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -362 + 360. Let d = -598.7 - -599. Let p = 0 - -0.04. What is the closest to -1\/3 in p, m, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 2. Suppose 0 = -2*d + 8, -1 = h + 5*d - f*d. Sort -1\/4, h, -0.1 in ascending order.\nAnswer: h, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297114 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2*-6 - sqrt(68)*1*4)\/(-1*(sqrt(4) - sqrt(100)*-1)).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 6. Let o be n(-7). Let g(k) = -7*k**3 + k + 1. What are the prime factors of g(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 215146 and 52123.\nAnswer: 10111862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*f**5*g + 12248*f**3*g**2 + 7*f**2*g**2 - f**2*g - 32*f*g**2 - 32*f*g + 2 wrt f?\nAnswer: 7440*f**2*g + 73488*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oigigiiiogigf. What is prob of sequence gi?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.16 (b) -5 (c) -0.01 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*p = 379, 2*p - 198 = -5*d + 759. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 21*n - 9. Let r be m(7). Let i(w) = -8*w + r + 99 - 184. What is i(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 68. Let z be m(0). Suppose -5*s + 1438 = -2*v, 5*s + 5*v - 1513 + z = 0. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60347711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16666873, -33333752, -50000631?\n\"Answer: -16666879*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 620072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quxup. Give prob of picking 1 x and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010111101101010001 (base 2) in base 3?\nAnswer: -102000221021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -5 + (19 - 6). Suppose -48*n = -43*n. Solve n = 4*u - p - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**2 + 71*l + 53. Let p(d) = -13*d**2 - 71*d - 52. Let g(o) = -6*p(o) - 5*z(o). Let i be g(-23). Solve 4*c + 3 = -i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/192 in -0.17, 3\/4, -2\/101, 2\/11, 0.3?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7348 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -478*b + 16738. Let i be r(35). Let w(s) = -15*s + 11. Let m(p) = -40*p + 19. Let u(k) = -10*k + 5. Let f(l) = 2*m(l) - 9*u(l). Give i*f(j) + 5*w(j).\nAnswer: 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-371*z**3 - 1687*z**3 + 106363*z**2 - 106363*z**2)*(0*z - 39 + 41 + 5*z) to the form d*z + a*z**3 + n + x*z**4 + f*z**2 and give a.\nAnswer: -4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12353910 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1877 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1))\/(m\/(m**(-1\/24)*m)*m))\/(m\/(m\/m**(-15\/7))*m**21\/m))**(2\/9) assuming m is positive.\nAnswer: m**(-3175\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514253.5g to kilograms.\nAnswer: 514.2535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1. Let o(i) = -2*i + 1. Calculate 4*b(f) + 2*o(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000039120682 rounded to 7 dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*m + 16 + 28, 0 = z - 5*m + 28. Let j = z + 33. Which is smaller: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2) - 0) + (-3)\/18. Let x(q) be the first derivative of v*q**3 + 1\/2*q**2 - q + 2 - 1\/4*q**4. Find t, given that x(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -624*v + 189077. Determine c(303).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*l - 5 = 0, -83*t + 176*t + 0*l = 92*t - 2*l + 11 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/82 and -89\/3116?\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*b + 48918 = 27*b + 1072*b for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 78 + 75 - 153. Let r(k) = k**2 - 2. Let s(l) = l**2 - 1. Let q(v) = r(v) - 2*s(v). Give x(q(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6549042881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10718 - -15099. Let k = 11164 + y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -2*k + 10, -2*u + 34 = -3*k. Let w = -16 + 18. Suppose 42 = 3*q + 3*p, p - 3 = w. Calculate the lowest common multiple of u and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) -25 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n. Let l(o) = -381*o. Calculate g(l(t)).\nAnswer: 1143*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(84)*-4*-2)\/(sqrt(24)\/(sqrt(2)*-3) - (sqrt(12) - (sqrt(12) - (sqrt(192)*-3 - sqrt(192))))) + 4.\nAnswer: -48*sqrt(7)\/47 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 6. Let p be b(8). Let f be (1 - p\/(-4))*-2. Suppose 5*j - 6*j = f*c + 13, -2*c = -4*j + 18. Solve 5*i = -3*k + 8, 2 = j*k + 4*i - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1774442 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3793 = 5*q + 3*d, -4*d + 2692 + 368 = -4*q. Let w = 54029\/71 + q. Let o = 20413.9 - 20414. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940279 is divided by 59.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*f = -726*f - 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*a**4 + 8*a**3 + 26*a**2 - 3?\nAnswer: 360*a + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -179. Solve -3*o - x = -4*i + 5*i, i + 5*o = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(17))**2 + -5 - sqrt(85)\/((sqrt(25)*-3)\/sqrt(5)).\nAnswer: sqrt(17)\/3 + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972\/(-27)*(14\/(-9))\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t + 69 + 18*t - 67 + 35*t. Let d(p) = 2*p. What is q(d(r))?\nAnswer: 134*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 3264?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b = 46*b - 3*v - 10, -b + 5 = -2*v. Sort b, -2, 5 in decreasing order.\nAnswer: 5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 6. Let h(k) = -k**2 - 15*k + 13. Let b(w) = -3*h(w) - 7*i(w). What is the remainder when b(3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2643655619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 + 1.47. Put -0.5, l, -1\/4, -0.3 in decreasing order.\nAnswer: l, -1\/4, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5 + 1313*g**4\/3 + 149*g**3 - 1315*g**2 + 1312*g\/3 + 292 = 0 for g.\nAnswer: -2, -1\/3, 1, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzgugup. What is prob of sequence gpz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321677151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3962, -15838, -35632, -63344, -98974?\n\"Answer: -3959*o**2 + o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(96) - sqrt(96)*3) + sqrt(24)))\/((sqrt(108) - (sqrt(108) - sqrt(108)*-2*-2 - sqrt(108)))\/sqrt(9)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/20 + f**4\/2 + f**3 + 5*f**2\/2 + 5*f. Let h be d(-5). Do -1\/6 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -289998987107472 and -3.\nAnswer: -289998987107475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**2 - 411528*f - 10584705924 = 0.\nAnswer: -51441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 1244*l**2\/5 + 1207696*l\/5.\nAnswer: -2*l*(l - 526)*(l + 1148)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173236 or 173557?\nAnswer: 173236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 65170.767138.\nAnswer: 65170.967138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x**6 + 0*x**3 - 1\/48*x**8 + 2*x**2 + 1\/4*x**4 + 0*x + 0 + 0*x**5 + 0*x**7. What is the second derivative of y(n) wrt n?\nAnswer: -140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/5 - 223*j**3 - 2249*j**2\/5 + 3351*j.\nAnswer: j*(j - 1117)*(j - 3)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 21560\/591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2763334908 by -6.\nAnswer: -460555818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4352 + 6906 = 433*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595989 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10010010001 (base 2) to base 9\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(3 + -1) + 3. Suppose 0*x - x + 5 = q. Let l(v) = v**2 + v + 4. What are the prime factors of l(x)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-13)\/o*o*o)\/o)\/(o\/((o\/(o\/o**(-1\/4)))\/o)))\/(o**(1\/2)*o)**(-30) assuming o is positive.\nAnswer: o**(119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**2\/2 - 11*b - 1. Suppose 565 = 5*g + 5*d, 4*d - 24 = -20. Suppose y = 15*y - g. Calculate v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1 - (-47)\/(3995\/238))\/(2\/(-80))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 4080*j**2 + 5344437*j - 2201963158.\nAnswer: (j - 1621)**2*(j - 838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 + 6530191*v\/3 + 42643394496481\/6.\nAnswer: (v + 6530191)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k = 150. Let n = 334387\/18750 + -2\/3125. What is the common denominator of n and ((-3)\/2)\/((-4)\/k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/3 - q**2\/2 - 10*q. Suppose -6*s = -3*s + 3. Calculate u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 52 = 3*o. Calculate the highest common factor of o and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14710486229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 60*m**2 + 60*m**2 - 4*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24740 and 1721904.\nAnswer: 8609520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37487841 to the nearest integer?\nAnswer: 6123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7526.431km?\nAnswer: 752643100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9*c**2 + 24*c - 1. List the prime factors of k(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1698 + -1694)*(-8 - -2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/27 or -1?\nAnswer: -20\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46742258*a - 46742258*a + 10*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14)*-2*(-3)\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -10 + (-10 + 5 - -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:26 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6*(-5)\/50?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2042031422 (base 5) to base 6\nAnswer: -231045412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*x**5 - 19*x**2 + 7*x - 72 wrt x?\nAnswer: -120*x**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 62, 58, 54?\n\"Answer: -4*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 143*i - 131*i. Let n be ((-2)\/i)\/((-5)\/150). Sort -2, -3, n, -5.\nAnswer: n, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5\/11 - 410*s**4\/11 + 10288*s**3\/11 - 46834*s**2\/11 - 26040*s\/11 = 0. What is s?\nAnswer: -124, -1\/2, 0, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3413560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 292943351 - 1037019446149\/3540. Let d = p + -15\/236. Calculate the common denominator of -71\/75 and d.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11951\/63 - 1366\/7. What is the common denominator of 103\/10 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 3:20 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73746*b**2 - 1029*b + 7?\nAnswer: 147492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -0.4 (c) 6 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 9*l**2 - 5*l + 26. Calculate the lowest common multiple of n(-8) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/42)\/((-264)\/(-308)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -13812\/25933 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 121772 = 185314. List the prime factors of d.\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89919 is divided by 44949.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 9. Let h be p(11). Suppose g = -k + 23, h*g = 4*k + g - 117. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 9:46 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -5 - -5 - 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4725 - 4713. Let r = -16 - -18. Solve -r*y + 8*y = -s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -441\/8 in -1, -2\/9, 1.186?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19846232.649955 take away 0.4?\nAnswer: -19846233.049955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzz when three letters picked without replacement from zzttzzzzzzzt?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*l + 42*l + 28. Put 3, l, -1 in ascending order.\nAnswer: l, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2551 less than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6280000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15*t + 336. Let o be f(22). Let d(p) = 15*p - 6. Let h(u) = 16*u - 7. Give o*h(b) - 7*d(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -30*b**2 + 6*b - 11. Let g(r) = r. Let k(j) = 6*g(j) - m(j). Differentiate k(u) with respect to u.\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373 (base 16) to base 2\nAnswer: -1101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-460)\/(-9775))\/((-2)\/(-45)). Which is the smallest value? (a) -1 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-3885)*-111)\/(52\/(-15))\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21155, -1160 in increasing order.\nAnswer: -21155, -1160, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -11 + 5 + 3 + 3*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m + 15 + 22 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a = -67 + 61 + 66 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a97 (base 14) to base 9.\nAnswer: -104611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18882 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9705, -9693, -9683, -9675, -9669, -9665, -9663?\nAnswer: -9663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -9. Let q = 8 + n. Suppose -3*b + 4*b - 8 = q. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14 + m - 45 + 18 - 2*m. What is b(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 8 + 15. Let i(k) = k**2 - k + 3. What is the remainder when (0 + 1)\/(f\/119) is divided by i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {d: 5, m: 8, t: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68975209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3*m + 3*c**3 + 136518*m**3 + 433831 wrt m?\nAnswer: c**3 + 409554*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9011 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1, -20.6, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u. Let s(l) = 13*l + 53 + 39 - 82. Let m(t) = 13*t + 8. Let a(c) = -5*m(c) + 4*s(c). What is v(a(p))?\nAnswer: -104*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + 69 + -62\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 674.169 from -654167.\nAnswer: -654841.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -252.8 + 253.3. Let v = -19.9 + 20. What is the nearest to -2 in v, 2, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {d: 8, a: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0093 + -104.8093. Let z = -105 - m. Do 1\/6 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/338 and -47\/2366?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**5\/20 + 11*h**4\/6 - 4*h**3 - 14*h**2 + 59*h + 1. Determine a(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s + 2. Let n(z) = 26*z + 11. Let c(l) = 384*l + 779. Let u be c(-2). What is u*d(i) - 2*n(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -744916*f + 1489835*f - 744921*f - 770*f**2 - 2 + f**2 + 2 + (-4*f**2 + 0*f**2 + 2*f**2)*(5 + 0 - 3).\nAnswer: -773*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -139659, -4, -3 in increasing order.\nAnswer: -139659, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1911220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106557371 * 4.\nAnswer: 426229484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -c145b (base 14) to base 10\nAnswer: -464601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h**2 - h. Let m be 4*((-2)\/(-4) - 2). Let q(k) = -5*k**3 + 7*k**2 - 5*k. Suppose 23*i = 25*i - 5*p + 3, 5*i = 3*p + 2. Give i*q(c) + m*t(c).\nAnswer: c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.0136 - 2.02. Round x to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64406 take away -0.55?\nAnswer: -64405.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)\/((-167)\/7). Let t = 4411\/2338 - v. Calculate the common denominator of -45\/8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1017361, 4069994, 9157715, 16280524, 25438421?\n\"Answer: 1017544*t**2 + t - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 309 - -313. What are the prime factors of w?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/4*10\/(-110).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107.6582847 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(3\/19)*l\/l**(3\/2)*l assuming l is positive.\nAnswer: l**(63\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/11 (b) -0.34 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/(4\/66). Let t = -8 + h. Suppose -t*l + 116 = 23. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 + -48?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.11 + 0.11. Let j = r - -4.1. Which is the nearest to -2? (a) 2\/23 (b) -2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 214?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8658857 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 60 = -2*p. Calculate the remainder when p is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 8. Let i(t) = -2339*t + 50. Determine i(b(l)).\nAnswer: -2339*l**2 + 18762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:52 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h - 123 = -3*l, 4*l + 5*h = 133. Suppose -53 - l = -3*j. Calculate the remainder when 149 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4894*y + 4921*y = 81. Solve -c + 6 = -f, -y = -10*c + 14*c + 5*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - p + 3 = 0, 4*q - 3*p - 6 = -15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 8*w - 12. Let r(b) = -3*b**2 - 9*b + 10. What is 4*m(j) + 5*r(j)?\nAnswer: j**2 - 13*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4)*-5)\/(185\/148). Let f(l) = 3*l**2 - 2*l + 3. Calculate f(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:30 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020304 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 253*i**2\/2 + i - 444. Let o(p) = -2*p. Determine x(o(c)).\nAnswer: -506*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 0*w + w)*(0 - 1 + 0) - 192 - 10*w + 192 to q + g*w and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Let n(t) = -t + 7. Let u be n(4). Is u not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*l - 4*d, 3*l + 3*d - 27 = -0*l. Let p = -67 + l. Let o be p\/11 - 4\/22. Which is the third biggest value? (a) 4 (b) 1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -19*y**3\/3 - y**2 - y - 4095. Determine u(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 390*s - 390*s + 17*s**2 + 10.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -6 - 14. Suppose -3 = 3*z, -15 = -j + 5*z - x*z. Suppose -k + 1 = -2*c - 9, -j = -2*k + c. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-2465)\/348)\/85)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-6))\/(9\/18). Let j = m - 1\/3. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319247104 to the nearest integer?\nAnswer: 17867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 749.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235\/282*4\/60*40.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 4. Let t(r) = -r**2 + 4. Let i be t(0). Suppose 4*z = 5*v - 12, -i = -4*v + 2*z + 2. What is the units digit of y(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -1, 1, -23007.\nAnswer: -23007, -10, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-u**2 - u**3 + u**2) - u**3 - 6*u**3 - 3*u**3 + u**3 + 5 - 5 + 3*u**3 + 0*u**3 - 5*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1394 + 1394.0707. Let b = q - 0.07071534. What is b rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66565?\nAnswer: 5, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = 7*n - 834. Suppose 2*z = 5*z. Suppose a - n = -z*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127*-0.8\nAnswer: -101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 827, 0.1, 9\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 10*d - 1590 = 9*d. Which is bigger: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -707 by 101.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93590\/2865*(-9)\/21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30828 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12286.\nAnswer: 2, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -107\/13?\nAnswer: -107\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 + 131. Solve -v - h + 0 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.9 + 104.9. Let k = g + -91.5. Which is the second smallest value? (a) -5 (b) k (c) -85\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -26921626\nAnswer: 26921626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - (-265)\/20. Let t(r) = 2*r - 7. Does 19 divide t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2507*u**4 + 398 wrt u?\nAnswer: 10028*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3468004*o*t**3 - 6*o*t**2 - 9*o*t - 2*o - 3*t**2 - 10 wrt t?\nAnswer: 20808024*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 838 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8524, -10526, -13858, -18514, -24488, -31774, -40366?\nAnswer: -50258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-4)*(-16)\/40\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(171)*1 - sqrt(171)))\/(((sqrt(81) - 3*sqrt(81)*-1) + sqrt(81) + sqrt(81) - sqrt(81))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4a90a (base 12) to base 7\nAnswer: -602002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -125?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 + 5*r**2 - 7*r - 1. Let p(t) = -2*t**3 + 2*t**2 - 4*t. Calculate 5*p(u) - 3*z(u).\nAnswer: -u**3 - 5*u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3774, 7547, 11306, 15045, 18758?\n\"Answer: -r**3 - r**2 + 3783*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2 (b) -20.5 (c) -14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhj when three letters picked without replacement from {f: 1, x: 1, h: 1, e: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t + 2. Give q(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 - 5364*h**2 + 1 + h + 5368*h**2 + 3*h**4 - 9*h**3 in the form f*h + y*h**4 + g*h**2 + a*h**3 + p and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13216 + 13214. Which is the nearest to f? (a) 7\/61 (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 148, 138, 102, 40?\n\"Answer: -13*m**2 + 29*m + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -50380?\nAnswer: -1\/10076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/14 + (-120)\/48?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16010.\nAnswer: 2, 5, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.5*-5.\nAnswer: -122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 10*c + 14. Let i(y) = -2*y**3 + 6*y**2 + 3*y + 6. Let z(d) = -2*d**3 + 7*d**2 + 4*d + 7. Give c*i(q) - 6*z(q).\nAnswer: -2*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 1916514?\nAnswer: 19165140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -30\/241, -0.2, 11\/5, 2?\nAnswer: -30\/241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -87 + 0 + 1 + -2. Let s(i) = -i**3 + i**2 + 3. Let r be s(2). Is r at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81725483 = -58*i - 81728673 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)\/c*c**(-1\/2)*c**4*(c*c\/(c*c\/(c*c**(3\/4))*c))\/c assuming c is positive.\nAnswer: c**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14683 divided by 139.\nAnswer: -14683\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-12) + (-1365)\/450 and 69\/352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 896 and 336.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -665 + 57*z - 25*z - 1437 - 31*z in the form a + r*z and give a.\nAnswer: -2102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -1\/12*g**4 + 1\/2*g**2 + 0 + 44*g + 1\/20*g**5 + 1\/3*g**3. Let x be i(0). Calculate the greatest common factor of 17 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264641152*p**3 - 810994549*p wrt p?\nAnswer: -1587846912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8*f - 5*n = 505, -8*n + 479 = 3*f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.4, 2\/7, -0.394?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -0.15, 8914, -1, 2\/5, 1\/4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, 0, 126, -4, -8, -1, -11 in increasing order.\nAnswer: -186, -11, -8, -4, -1, 0, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 14, 20, 26?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(500)*1*-5 + (sqrt(500) + -1)*2).\nAnswer: 6 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y. Let u(z) = -283911916*z**2. Determine u(w(p)).\nAnswer: -2555207244*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*l**2 - 79439*c + 636895*l**4 - 3*l**3 + 7 wrt l.\nAnswer: 2*c*l + 2547580*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267510 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76598*d**3*w**5 - 1845*d**3*w - 3*d**2 + 14*d + 4*w**5 + 3*w**2 wrt w.\nAnswer: 4595880*d**3*w**2 + 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -u + 30, -5*u - 3*y - 18 + 133 = 0. Suppose -3*k + 6 = 0, -o + u = o - 2*k. Solve 3*s - o = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -1 + (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (-1 - (1 - -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 17. Let a(q) be the first derivative of q**4\/4 - 8*q**3\/3 + 6*q**2 + 4*q + 5291. Determine a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77368 and 665228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 6:44 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 - 0.51. Which is the biggest value? (a) s (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (301\/(-27348)*6)\/(((-245)\/20)\/7).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 3:49 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let r(w) = 21*w - 36. Let u(d) = -2. Let j = 8 + -9. Let v(b) = j*r(b) + 18*u(b). What is q(v(k))?\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3042555 + 1?\nAnswer: 3043000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 8*g**3 - g - 60.\nAnswer: -8*g**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2344 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1194 and -89\/6880386.\nAnswer: 1369196814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -3 (c) 4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8968361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*f - 45851 = -14351. Suppose -4*t = -2*j + 316, 4*j + t - 616 = 5*t. Calculate the highest common factor of j and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 + 623\/28. Let n = d + -22. Suppose 415 = 3*q + 4*g - n*g, 3*g = -15. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = z, -3*d + 2*z - 1 = -6*d. Solve 0 = -4*y - j + d*j - 20, 4*j = -y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 6*r**2 - 3*r + 4. Let p be g(-5). Let z = -10 - p. Let u be 5\/(-5) + 4 + -6 + 0. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 35*o**2 - 145*o - 28. List the prime factors of j(-21).\nAnswer: 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -19. Let z be 12\/15*u\/(-14). What is the closest to 0 in -18, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 6:20 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 2071 = -26*b - 3667 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3*s**4 + 39*g**3 - g + 119*s**4 + 33 wrt s?\nAnswer: 8*g**3*s**3 + 476*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28427 and 1953.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 8*n - 44 = 34 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*c)*(-2*c**2 + c**2 - c**2) + 15706*c + c**2 - 15706*c - 57*c**3.\nAnswer: -53*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -14*p + 8*p. Let w = p - 6. Let t be (-1)\/((-30)\/(-220)*2\/(-3)). Let g(r) = 13*r + 17. Let k(b) = 7*b + 9. Determine t*k(s) + w*g(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 356 = 1806. Calculate the greatest common factor of t and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 633 - 657 + 1290.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-24))\/((-63)\/(-19845)*84)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 742587*x - 109. Let r be k(7). Round r to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) 1 (b) 0 (c) -3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9218838*s**3 - 19*s**2 - 7616 wrt s?\nAnswer: -55313028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -23. Let v(n) be the first derivative of 1\/15*n**6 - 1\/5*n**4 + 0*n + 1\/5*n**2 + 0*n**5 - 1 + q*n**3. Factor v(p).\nAnswer: 2*p*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 27. What are the prime factors of (-3 - g\/(-1))\/(4\/(-338))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*u + 65 = 1554 - 220 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7815280, 7815144, 7815004, 7814860, 7814712, 7814560, 7814404?\nAnswer: 7814244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c (base 13) to base 7.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -27. Suppose -2*z - n = -4*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2*m**2 - 4*j**2 - 14*j*m**2 - 5358*m - 3044370 with respect to m.\nAnswer: 4*j**2*m - 28*j*m - 5358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -136, -269, -414, -577, -764, -981, -1234?\n\"Answer: -l**3 - 126*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 43*v**2 - 28*v - 45. Give l(-22).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136653 by -41.\nAnswer: -3333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137638981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42481 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99550348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1081a?\nAnswer: -10824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 2, e: 2, o: 1, v: 13, h: 1}. Give prob of sequence ccq.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 2*a**2 + 0*a + (2*a + a - 4*a)*(-2*a + 5 - 5) + 40*a**2 + 349 - 349.\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 25. Let o be (30\/s)\/((-1)\/4). Let c be -3*5\/(10\/(-2)). Solve 4*u - 2*j + 5*j + 7 = 0, u + c*j - o = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.2675201 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 594\/5 (b) 4 (c) 16 (d) 0.26 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -0.4 (c) -4 (d) -1\/18 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776207 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 4, g: 1, y: 3, u: 8}. What is prob of sequence uuy?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 128525?\nAnswer: 128531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 910 and 728?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 6*m**2 - 6*m + 7. Let n be r(7). Let d(x) = -x**2 + 2*x - 40. Let t be d(-8). Let s = t + 136. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616394307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(68) - sqrt(68)*3) + sqrt(68)))\/(sqrt(144)\/sqrt(4))*-5.\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -605?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2 - 4. Let g = 151 + -154. Let i be (o\/9)\/(g\/(-9)). Solve -i*z - 15 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 2, r: 2, b: 4, g: 8}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:11 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, -41, -84, -125, -164?\n\"Answer: r**2 - 48*r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(3 + -78)*10\/30\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -3.3 (b) -0.2 (c) 2\/15 (d) 142 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j + 26 = 0. Let o(a) = 5*a - 16. Let c(f) = -11*f + 33. Let m(k) = j*o(k) - 6*c(k). What is m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1 + 0*q + 11*q + 4*q - 2*q - q**2. Let d be l(13). Sort 1\/4, d, -0.4.\nAnswer: -0.4, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1268388 by -3.\nAnswer: -422796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1593)\/81 - -17 - (-5)\/3. Let b(v) = 40*v + 12. Let j(r) = r + 1. Determine a*b(h) + 12*j(h).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f - 2. Let k(d) = -17*d - 3. Calculate -5*k(i) + 7*u(i).\nAnswer: 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + 0*b**4 - 4*b**4 + (5*b - 4*b + b)*(-b**3 + 0 + 0) + 5*b**4 - 5*b**4 + b**4 + 259*b**2 - 127*b**2 - 131*b**2 - 10*b**4 + b.\nAnswer: -13*b**4 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 17*c + 23. Let z be p(7). Solve -3*m + 2*i - 10 - 12 = 0, 5*m - z*i + 30 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 85*a - 244 = 0. Solve 23 = -5*b + 4*o, 35*o - 33*o = a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -74292*t - 297152. Give w(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12567 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 1227753540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185 - 89. Let z = 6 - -6. What is the highest common divisor of z and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 - ((-88)\/(-11))\/4 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 177533031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3747407 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1015 - -1578. Let k = -4 - -7. What is i in -563*i + 3*i**2 - 4 + t*i - i**k = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z + 17*z + 16*z + 6*z to the form t + q*z and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41282260351 + 0.751.\nAnswer: 41282260351.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from lllxvlllgllgxxllx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 25 + 7 = 0. Let j(q) = -2*q - 4. Let y be j(-2). Solve 5*v = -5, y = -r - 0*r - 3*v - p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 - -202102100200?\nAnswer: 202102022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 30 = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(-6\/19)*(y\/(y*y**7))\/(y*y**(2\/17)) assuming y is positive.\nAnswer: y**(-12906\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14639463*u + 8913425.\nAnswer: -14639463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -546072.944 to the nearest one thousand.\nAnswer: -546000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 208 - 199.1. Let n = q - 8.8. Suppose 0*p - 4*p = -52. Put -1, p, n in descending order.\nAnswer: p, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1748.554 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zze when three letters picked without replacement from zeeezeee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1144637 divided by 5\nAnswer: -1144637\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1913, 2, -1\/2, 6\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - -2*(-14)\/(-2). Let x be c\/4 - (-1)\/(-4). Suppose -4*a - 4*g + 3 + 5 = 0, -3*a - x*g = -8. Solve -5*s = -a*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*u + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -21437, 278 in increasing order.\nAnswer: -21437, -6, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 144?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42377747 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.8 in -0.7, 0.4, -27\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + z = 15, 2*z = -2*v + v + 12. Let n = 269894 - 1349464\/5. Factor -n*t + 3\/5 + 3\/5*t**v.\nAnswer: 3*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 957 or 954?\nAnswer: 957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 191174\/37565 - -6\/3415. Find the common denominator of q and (-24)\/6 - (-1)\/(15\/110).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60012927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/2 (b) -0.02 (c) -0.57 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 4*p + 3*m, -2*m - 4 = 2. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (162\/3)\/(-6)*-1. Suppose 1 - j = -2*p, -75 = -5*n + 5*p. Calculate the remainder when 37 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b = -243. Suppose 2*k + 5 = -2*v - 3, -4 = -3*k + v. Suppose -9 = -c - k*c. What is the greatest common divisor of c and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - -43572?\nAnswer: 43561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50221730 rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65*(2*2 - (7 + -4)) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfffffvffff. Give prob of sequence vf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526 at least as big as 2524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 14964*o + 16714748. Calculate k(-1117).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - n + (-1 - 3 + 2)*(3*n - 2*n - 3*n))*(-2*n**4 - n**4 + 0*n**4) + 7*n + 9*n + 3*n**5 - 18*n.\nAnswer: -6*n**5 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155 a factor of 1384025610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. Let c = 28 - 38. Let t = 14 + c. Solve -2*g = -3*x + 10, -g - 1 = -q*x + t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/1*-6. Find the second derivative of 18*c**3 + 6*c - 2*c**k + 7*c wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81775 = -3*a - 4*o + 81743, -a + 2*o + 16 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44 (b) 5 (c) -12 (d) -40 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 2*s**2 + s - 106. Suppose 0 = -5*r + 10*r. Let t be o(r). Let c = t - -234. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**6*q*q**4*(q\/(q\/q**(-1))*q)**(5\/7) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 - 12*g**2 - 123*g - 108 = 0.\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -0.2. Let r = c + -1.2. What is the third biggest value in 0.4, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -5 - -2 - 0. Suppose -3*f = -g*f + 3*f. Does -4 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44962*y**4 + 31716?\nAnswer: -179848*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 3*k**2 - 4*k + 2. Let f be i(-4). Let a be 31 - f\/1 - (-3)\/(-3). Solve 2*r - 7*v = -3*v + a, -3*v - 3 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, w: 1, h: 1, l: 2, o: 1}. What is prob of sequence ho?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l - 2*l - 5*l**2 + 2 + 4*l**2. Let r be j(15). List the prime factors of -1*-9*1 - (r + 10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 412 = 1217. Suppose -v + 2*v = -3*x - i, x + 5*v + 37 = 0. Let t = x + 62. Solve 3*q - q - 2 = t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 9*n**2 - 9*n + 11. Let w(s) = 4*s - 16. Let a be w(6). Let d be h(a). Solve 1\/2*j - 1\/2*j**d + 1\/2*j**2 - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7788521?\nAnswer: 13, 599117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4 - 4*a**3 + 96*a**2 - 144*a = 0. What is a?\nAnswer: -6, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 739568 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232024.\nAnswer: 2, 13, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*i = 3*i + 123, 0 = 4*s + 3*i - 527. Suppose 4*g + 0*g = s. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1056)\/862)\/(3\/8860). Let f = -3618 - i. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(19) + 0)**2 - sqrt(209)\/(sqrt(22)\/sqrt(2)))*-6.\nAnswer: -114 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 - 1.57. Let u = -20.7 - -17.7. Which is the closest to n? (a) 5 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.94 take away -67.7?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1332121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1094070 divided by -182345\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -507 (base 15) to base 6.\nAnswer: -5124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7311 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 2 - 2 + (-4 + 4 - 2)*(-u**2 - 3*u**2 + 0*u**2) + (-5 - 8 + 9)*(3*u**2 + 1 - 1).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(3\/10)*(-145)\/(-58). Let l(p) = 6*p - 145. Let b be l(h). Solve -13 = 5*j + s, 4*j + b + 11 = 2*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2592\/17 - -49087\/306. Find the common denominator of 95\/32 and p.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313253 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 4499.\nAnswer: 4499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((5\/5)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*-3*sqrt(125) - (sqrt(125) - sqrt(125)*-4*5)))**2.\nAnswer: 480*sqrt(5) + 72004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125577.53 less than -0.1?\nAnswer: 125577.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8*-125.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times -0.073?\nAnswer: -3.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - g - 3*g)*(-5 - 8 + 8 - 2*g)*(5 - 3 + 0 + (-3 + 0 + 4)*(2 - 4 + 0) - 2 + 3 - 5) as c*g**2 + s + p*g and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3930029547 rounded to the nearest one million?\nAnswer: 3930000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 10. Let m = 35 + u. Calculate the lowest common multiple of 6 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20189 take away -8.7529?\nAnswer: -20180.2471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * -2.8.\nAnswer: -170.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = -14*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210.7 + -17.7. Let n = l + -194.1. Sort 8, -4, n in decreasing order.\nAnswer: 8, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 131 = 96. Let w(y) = 3*y**2 - 17*y + 11. Let f be w(o). Sort f, -4, -6.\nAnswer: -6, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 2*z - 504. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k, -m - 3*m - k = -6721. What are the prime factors of m?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -415.99765 - -416. Round g to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + 6*i)*(-4*i**2 + 0*i**2 + 3*i**2)*(-3 + 2 + 0)*(0*i**2 - 4*i**2 + 2*i**2).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = y + x, 22*x = -5*y + 27*x + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzkzfzfzzzffzz. Give prob of sequence kzf.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2679752.7s to hours.\nAnswer: 744.37575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - g**2 + 3*g**2. Let l(k) = k. Calculate w(l(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 31*o**2 - 86*o + 855. Let j be b(29). Solve 2*h - 8 = 47*g - j*g, 4*h + 20 = -g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16583 - 9849. List the prime factors of f.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (12 - ((-72)\/16 + 16))\/(3\/(-318))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2018 - -2028. Let r(x) = 4*x + 37. Let h be r(-10). What is the third smallest value in a, -8, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.073437nm to kilometers.\nAnswer: 0.000000000007073437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(-8793 + 366*x + 8793) in the form j*x + o and give j.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:00 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvnvvvvvnvv. Give prob of picking 4 v.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-1) - 11\/198*39. What is the closest to v in 0.1, 5, 2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -15180050*q**2\/7 + 22040*q\/7 - 8\/7 = 0?\nAnswer: 2\/2755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 418\/3 - 8359\/60. Let y(j) be the third derivative of 0 + n*j**5 + 0*j + 0*j**4 - 1\/6*j**3 + 18*j**2. Determine p so that y(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 4*y + 12 = -6*g, -g - y + 6 = 0. Sort -3, -11, 5, g in ascending order.\nAnswer: -11, -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 1 + 9, -p + 1950 = c. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:33 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*5\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917022 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2420 and 6820.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5\/20 - u**4\/12 + 19*u. Determine h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*a + 289257 = -1649*a - 5422*a + 61458 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*w + 3 = 4*w, f - 1 = 3*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13035023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18113 + 54341\/3. Suppose -r**3 + 0*r + 0 - g*r**4 - 1\/3*r**2 = 0. Calculate r.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 5*d**2 - 3*d + 2. Let f = -472 + 474. Determine b(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-4))*w\/w**(1\/9)*w)**(-3\/22) assuming w is positive.\nAnswer: w**(-53\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13044, -21443, -29842, -38241, -46640, -55039?\nAnswer: -63438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 13 = -5*b, 4*b - u - 11 = -21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2\/7 - 5690436*m\/7 - 4047632733762\/7 = 0.\nAnswer: -1422609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = g, -3*g - 2*w = 3*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1976 and 143792?\nAnswer: 1869296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 3 - (12 - -1 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (8 - (17 + -19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -36 (b) 5 (c) -359 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 12:19 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3955860 by -5.\nAnswer: 791172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217475 by 43495.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 106*l. Let g(v) = 3*v. Calculate m(g(r)).\nAnswer: 318*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) -4\/9 (c) -226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1271 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 8:24 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*p + 30 = 0, 0 = -f - p - 4*p + 30. Which is the second smallest value? (a) 3\/2 (b) 3.54 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence deee when four letters picked without replacement from geegedeggddggd?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80398736557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11717 + -11731.229. Let l = 14.3 + i. Round l to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 + 8 = 0. Let m be (-3 - ((q - 0) + 3))*-1. Let f be (-6 + 1)*117\/(-5). What is the greatest common divisor of m and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -5. Suppose -6 = -k - a + r, -3*k + 2*a = -54. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 3, i: 2, e: 2, w: 3, j: 1}. Give prob of picking 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**2 - 8*w**2 - 3*w**2 - 8*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 128*k**3\/3 - 130*k**2 + 8*k - 1286. Factor q(x).\nAnswer: 4*(x - 2)*(32*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474292752 divided by 429613.\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/7))\/(j*j*j**(-6)))\/(j**(1\/2)*j**(-7)) assuming j is positive.\nAnswer: j**(163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 210.2665 millennia?\nAnswer: 210266.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (-1 - (-3 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 8*h**2 - h + 6. Determine q(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(55)\/(sqrt(5) + sqrt(15)\/(sqrt(3) + 2*sqrt(3))) + 2.\nAnswer: 2 + 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1589*g + 226*g + 168*g + 488*g. Let k(y) = -15*y**2. Calculate r(k(f)).\nAnswer: 10605*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1887 and 242202.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.02 + -0.02. Let p = 75 - 73. Which is the third biggest value? (a) 1 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j. Let r(b) = 17*b**2 - 36*b**2 + 15*b**2. What is r(o(s))?\nAnswer: -196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:47 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 5*i - 18 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 20)*297\/(-1215) + (-6)\/(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66077\/10 - 6620. Find the common denominator of r and -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 + 4 = 0. Suppose -33 = -i*b + 75. Which is bigger: 35 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1090, -1108, -1124, -1138, -1150, -1160, -1168?\n\"Answer: m**2 - 21*m - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r + 2. Let p be t(1). Let o(g) = p*g**2 - 14*g**2 + 8*g**2. Let v(x) = 12*x**2. Give o(v(w)).\nAnswer: 288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {t: 2, w: 3, z: 3, b: 6, d: 1, x: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 4. Suppose -q + 4*q - 6 = 0. Suppose -5*v - 6 = 2*n, 3*n + 2*n = -q*v - 15. Suppose -3*g + r - 11 = v, -r + 2 = -0. Calculate j(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/12 and -19\/237.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -59*o**5\/20 - o**4\/12 + 563*o**2 + 4*o. Let g(t) = -4*t. Determine g(i(v)).\nAnswer: 708*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.83833 to 3 dps.\nAnswer: 1.838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*k - 288*k + 12084 = 0. Calculate the smallest common multiple of 78 and k.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 9. Let t(d) = 5*d - 28. Let x be t(13). Let z be x*(-21)\/(-14) + (-1)\/(-2). Suppose z*u + 24 = 53*u. Give m(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvl when three letters picked without replacement from {y: 13, l: 3, v: 1}.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let q(m) = -m**2 + 3*m + 3. Determine 3*f(v) - q(v).\nAnswer: -2*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 19. Determine l(23).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, 2\/3, 2, -51\/7, -0.142?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4325334.757 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 21?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2134 = -119*d + 108*d. Calculate the common denominator of (-78)\/(-143) + d\/(-2574) and -62\/39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/7)\/((-5491)\/2023). Which is greater: f or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 + 5*s - 1. Let h be g(1). Suppose -11*f + 9 + 2719 = h. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let m(r) = -r**2 + 5*r + 2. Let g(y) = 6*j(y) + m(y). Let z be g(0). Let o be (-2)\/(z\/25*-1). Solve o = 4*p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 + 0.8. Let v = 3980.5 - 3980.8. Let h = 7 - 2. Put i, v, h in increasing order.\nAnswer: v, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*g = 20, 5*p + 5*g + 3 = -17. Suppose 5*z + p*z + 15 = 0. Is -2 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 6\/4)*4. Suppose 5*b = -2 - 8, u*i - 5*b = 10. Suppose i = g - 4*a - 8, -5*g + a = -3*a - 40. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3\/5, -785.59?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - 0)\/(7\/21). Suppose -4*q + 21 = -l. Suppose y = -y + 2*k, 5*k = y + q. Put -5, -4, y in decreasing order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248739 + -248744. Suppose 3*g = 5*g - 22. Let b be g\/4 + 2\/8. Sort b, -4, r in decreasing order.\nAnswer: b, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426423 and 6447?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 267*h - 14. Is u(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - -0.05. Let m = d + 0.28. What is the smallest value in 2, m, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 124, 12453.\nAnswer: -1, 124, 12453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 - 124*n - 495. What is t(-36)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-2)\/1 - 7. Let w be (-2 - 1)\/(i\/10). Factor 2\/9*z**4 - 2\/9*z**2 + 2\/9*z**w + 0*z - 2\/9*z**3 + 0.\nAnswer: 2*z**2*(z - 1)*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362 - 8*x**3 - 359 + 4*x**2 - 4*x**2.\nAnswer: -8*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1.3 (b) -1.7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*i**3*k**3 + 2*i**3 + 429*i**2*k**2 + 9*i*k**4 - 6*i*k wrt k?\nAnswer: 684*i**3 + 216*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392304 and 1320.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/(-14) - (-12)\/(-42). Let m be p\/(3\/(-2)) - -118. Suppose 5*g - m = 30. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 5. Let s be 21 - (d - -3) - 0. What is the second derivative of -i + s*i**2 - 7*i**2 - 2*i**2 + 7*i wrt i?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -2 + 14 + -22 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 60 = s, -4*s - 48 = g - 5*g. Suppose 2*r + 3*q + 18 = 0, -5*r + q - 3 = 8. Put r, -4, g in ascending order.\nAnswer: -4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 427*m**2 - 4*m + 9. Let d be x(6). Let p = d + -169057\/11. Let n = 12 + p. Is n at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 627866.7111 to the nearest one hundred.\nAnswer: 627900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 102 + 5*g + 102 - 2*g - 5*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 + -5 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let w = -6.5 + 6.594. Let d = -0.006 - w. Sort 0, d, b.\nAnswer: d, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 2*p - 8. Let t be r(0). Let x(c) = c**2 + 6*c - 15. What is x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442 (base 6) in base 10?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -103048\/9 < -11449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1117041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3195 - -145021?\nAnswer: 148206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) 0.4 (c) -0.1 (d) 19 (e) -14\/5 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 70?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 301, 1360, 3135, 5626, 8833?\n\"Answer: 358*z**2 - 15*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116 - -122)\/((-3)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*z = 15 + 14, z = 5. Suppose 6*u + 0*u = 396. What is the greatest common factor of k and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -10. Let d = u + 105. What is the highest common factor of 48 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 - 2)\/1)\/1 - -8. Suppose 4*c + 0 = y. Suppose 0 = -2*r - c*q + 407 + 119, -3*q = 4*r - 1057. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 - 3.02. Let l = -0.08 + n. Let g = l + 0.8. What is the third smallest value in -2\/11, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -905\/4 - -225. Let t = -0.37708 - 0.22292. What is the third smallest value in t, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 15, 2\/15, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -0.066, 11, 0, 20, 4\/7, -16?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.27 + -0.07. Let k = l + -1.2. Which is the third smallest value? (a) k (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 53. Suppose -6*c + l = -c. Calculate the highest common divisor of 54 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1065 - 1065 - 10*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.327228ml to litres.\nAnswer: 0.007327228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7972 = 289*s + 13445 + 29496 for s.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let d(s) = -13*s**2 - 24*s. Calculate d(l(w)).\nAnswer: -52*w**2 + 48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c2c (base 14) in base 4?\nAnswer: -21331220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20679 is divided by 964?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 9*f - 6*f + 348)*(f**3 - 4*f**3 + 4*f**3).\nAnswer: 2*f**4 + 348*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/10181893 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -480 - -485. Let o = 5\/26 - -17\/182. Factor 0 + 2\/7*d**4 + 0*d - o*d**3 - 2\/7*d**2 + 2\/7*d**v.\nAnswer: 2*d**2*(d - 1)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r + 2470 = -2030. Let y be r\/4*24\/(-30). Solve -13*t = -9*t + y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-2\/49))*t)\/t*t**(-1\/4) assuming t is positive.\nAnswer: t**(-57\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 327.3917 hours?\nAnswer: 1178610120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d - 4*d**2 + 5*d + (2*d - 2 + 2)*(13 - 13 - 15*d + (2 - 2 + 2)*(-2*d - 4*d + 4*d)).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 + 87*n = 0. Calculate n.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -438 - -333.5. Let f = 100 + c. What is f rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -43. Let a(p) be the second derivative of o*p - 2*p**4 - 8*p + 17*p. Let m(k) = k**2. Give a(m(h)).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 - 7*k - 5. Let d(v) = -v**3 + 8*v + 5. Let y(f) = 4*d(f) + 5*j(f). Let h be 7*-3*3\/(-9). Does 12 divide y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:45 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327\/1417 - (-1 - 297\/(-273))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3\/5 + 153*a**2 - 49896*a\/5 + 142884\/5 = 0. Calculate a.\nAnswer: 3, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192) + (sqrt(192) + 2 + sqrt(192) - sqrt(192))*-2 + sqrt(192))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {c: 1, f: 2, x: 1, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 651760282 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33485758.\nAnswer: 2, 97, 172607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {d: 1, r: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 0, 11, 6, -3, -445 in decreasing order.\nAnswer: 11, 6, 3, 0, -2, -3, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5908500 divided by 3900\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 0.0983522145?\nAnswer: -0.1983522145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 23 = -5. Let i be ((-33)\/(-27) + f\/18)\/(-1). Let p be (-2 - i)*((-42)\/(-7) + -7). Is p bigger than 7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z + 354 = 574 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 2611.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -32, -23, -16, -11?\n\"Answer: -y**2 + 14*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(1300) + 2))**2 + -2)*-1.\nAnswer: -1055 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.523645km to centimeters.\nAnswer: 252364.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -4 + 0*y - 1\/3*y**3 + 0*y**2 + 1\/2*y**4. What is the third derivative of l(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12.54? (a) 4 (b) -2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/860 and 1666\/(-85140) - 126\/(-3465)?\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkh when four letters picked without replacement from {k: 7, h: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**3 - 5*r**2 + 5*r - 5. Suppose 0 = 234*p - 218*p + 32. Let m(d) = d**2 - d + 1. Give p*s(c) - 10*m(c).\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3542 - 3494. What is the greatest common factor of a and 624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -721 + 718. Let c(u) = -u**2 - 7*u - 13. Give c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162512680 to the nearest 100000.\nAnswer: 162500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/117 + 77\/117. Factor p*m + 0 - 8\/3*m**2.\nAnswer: -2*m*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 0*l + 3 - 1 + 0*l - 2*l**4 in the form n + a*l**4 + z*l**3 + f*l**2 + g*l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4\/687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 681\/610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 - 1. Let r be (12\/(-5))\/(-1 + 329\/350). Let y be 21\/(-15) + 16\/r. Let c(z) = -6*z**3 - 8*z**2 - 8. Calculate y*c(f) + 8*a(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211024 divided by -242.\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3322 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-24)\/(-20))*-7*120\/36?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-56)*(-864)\/(-1080).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*x - 14 = 0, 4*l - 7 = -5*x + 34. Suppose l*z - 3*z = 0. Differentiate z*n + n - n + 6*n**3 - 6 with respect to n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1351*c - 7 + 1359*c - 21 + 0. Let t(d) = -9*d - 17. Let f(b) = 5*b + 9. Let p(s) = 11*f(s) + 6*t(s). Determine -3*k(w) + 28*p(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 23, 81, 193, 377, 651, 1033, 1541?\nAnswer: 2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, -4, -126, -352, -718, -1260, -2014, -3016?\nAnswer: -4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092 = -3*z + 4*w - 1118, -2*z + 3*w = 16 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 22. Let s be ((-102)\/(-9))\/(x\/162). Suppose 2*m - 5*g = 288, -5*g + s = 2*m - 115. What are the prime factors of m?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24774*k**4*u**2 + k**4*u + 2*k**2*u**2 + 212*k**2 + 139*k*u**2 wrt k?\nAnswer: 594576*k*u**2 + 24*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Suppose 12 = 4*q, w*g - 2*q + 3 = -3. Suppose 4*u - 20 - 32 = g. Calculate the highest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**0)\/a*a)\/((a*a\/a**10)\/a*a*a))**(-18) assuming a is positive.\nAnswer: a**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.05 (c) 2\/7 (d) -2\/7 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-26) + 720\/52. What is the highest common divisor of 42 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 + -165. Let t = -106.00355 + p. Round t to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 392 = 2*o, -71*o + 5*n + 940 = -66*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 8*z**2 + 8*z - 4. Let j be y(-9). What is the highest common factor of 35 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2)*(-27)\/(-9). Let c = -8 + 3. Sort j, c, 0 in ascending order.\nAnswer: c, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/5826 + -20417\/151476. Which is the second smallest value? (a) -0.3 (b) 1 (c) y (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*r - 1 - 7*r - 64*r + 17*r.\nAnswer: -100*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0249*-2.\nAnswer: -0.0498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:26 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 18*f**2 - 5*f**3 + 15*f**2 - 4 to q*f**2 + a*f + s*f**3 + z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = f + 1268, 3*r - 5*f = -951. Let s = r + 322. Factor 3\/2*v**s + 0*v**4 + 0*v**2 - 3*v**3 + 0 + 3\/2*v.\nAnswer: 3*v*(v - 1)**2*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1867, 3733, 5601, 7471?\n\"Answer: m**2 + 1863*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11564.31 and 0.32.\nAnswer: 3700.5792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q + 162. Let n(l) = -l + 14. Calculate -4*n(m) + y(m).\nAnswer: -5*m + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1641 or -1788?\nAnswer: -1788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1440*d**2 - 4426*d**2 - 10 + 1380*d**2 + 1448*d**2 to the form y*d**2 + i*d + k and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 2*o**3 - o**3)*(-19*o + 64*o - 28*o - 23*o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -44*y**3 - 4*y**2 - 12*y - 5. Let g be x(-9). Let j be (-6)\/9 + g\/15. Suppose -4*z = 5*u - 2119, 5*u - z - j = -4*z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 188. Suppose 3*y = 5 - h. Let b = -2 - y. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 11*g**2 - 4*g - 4. Let y be k(11). Let w be (y\/9)\/4 + 1. Let u = 2 - -3. What is the nearest to w in 0.5, u, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -1 + sqrt(343))**2 - (sqrt(7) + 2)*1.\nAnswer: -29*sqrt(7) + 1371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/4 - 127*j**3\/4 - 2879*j**2\/4 - 18053*j\/4 - 3825 = 0. What is j?\nAnswer: -100, -17, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 922587413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 12. Suppose 0 = 8*x + 14 - 6. Is u <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (11 - ((9 + -5 - 12) + 11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((-32)\/(-6) - 273\/117).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*u + 218149 = 227536 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4 + 0 + 3 + 2*j + 3*j**2 + 0*j. Calculate b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 735, 0, -249, -4 in ascending order.\nAnswer: -249, -4, 0, 735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 + 2*i**2 + 10*i + 2. Let v(d) = -2*d**3 + d**2 - d. Determine -2*v(r) + z(r).\nAnswer: -r**3 + 12*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-35)\/((t*(t*t\/(t\/(t*(t\/((((t\/t**(-1\/13))\/t)\/t)\/t))\/t)))\/t)\/(t*t**6))*((t**(1\/2)*t*t)**20)**(-48) assuming t is positive.\nAnswer: t**(-31615\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1909, 7699, 17357, 30889, 48301?\nAnswer: 69599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204586361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7045*v**2 - 3346 wrt v?\nAnswer: -14090*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -98*q - 384. Let g be d(-4). Solve 14 = -g*v - 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 1\/5, -0.11, 22.1, 0.13, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 22*b**3. Calculate k(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 143*o + 7814. Determine a(42).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 41*i - 6. Let r be v(-6). What is the units digit of (r\/27)\/((-4)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147*u**4 + 6*u**2 + 307*u.\nAnswer: -1764*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - f. Let c(q) be the third derivative of -1\/15*q**5 + 0 + 0*q + f*q**3 + 0*q**4 + q**2. Let j(x) = 2*x**2. What is c(j(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*1)\/sqrt(12) + 1 - 4*sqrt(48)\/sqrt(4))*-4.\nAnswer: -4 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 - 95. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273 and 87?\nAnswer: 7917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -9*h**2 + h - 12337. Let g(t) be the second derivative of t**4\/12 - t. Calculate u(g(v)).\nAnswer: -18*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 78544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 7*w + 14. Let p be v(-6). Let a = -21 - -20. Let o be (a\/2)\/((-3)\/6). Put p, 3, o in descending order.\nAnswer: p, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4100.4829 - -0.4829. Which is bigger: 2\/3 or f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005421 rounded to seven decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/145 and 27\/25.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 36000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 9*m - 9. Let t(p) = 4*p - 4. Suppose 14 = i - 1. Let g = -19 + i. Give g*c(o) + 9*t(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - 89 - -59 - (8 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61578\/26789 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251057*o**2 + 2954701*o wrt o.\nAnswer: 502114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8)*2)\/((-18060)\/(-30960))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*f**4 - 35*f**3 - 33*f**2 - 258.\nAnswer: 1416*f - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/659408341?\nAnswer: -3\/659408341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004888 rounded to 7 decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -2 (b) -3.98 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/21160 and 79\/30?\nAnswer: 63480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j**2 - 2967 + 1509 - 2*j + 1503 - 2*j**3. Is d(-10) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Let b = 1 + h. Suppose -4 + 0 = b*o, 2*j - 4*o - 58 = 0. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 29 = m, 3*m - 63 = 7*i - 3*i - 3*i for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 greater than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1394 = -3*i - 1373 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/3475990 and -83\/5530?\nAnswer: 274603210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 1 k when three letters picked without replacement from kjjkykyjjyjykkjyc?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7272 = 15*o - 4293. Let t = o + -472. What are the prime factors of t?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17819, 36834, 55849?\n\"Answer: 19015*m - 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*z - 36412, -7*h = 5*z - 64124 + 369. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -5, 7078?\nAnswer: 7078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(833)*-1 + 4 + sqrt(833) - sqrt(833))**2 + (sqrt(51)\/(6*sqrt(9)\/sqrt(3)))**2 + 4).\nAnswer: -336*sqrt(17) + 30725\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 36*j + 258. Determine o(-16).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 12) to base 3.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n. Let q(s) = -109*s**2 - 8*s + 4. Let t(u) = -68*u**2 - 5*u + 3. Let x(p) = 5*q(p) - 8*t(p). Determine x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -90*b - 44. What is o(-15)?\nAnswer: 1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 59 + 31)*(-1 - 8*r**2 - 17 + 7*r**2).\nAnswer: -103*r**2 - 1854","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r - 172 = 5*n, -3*n - 2*r - 102 = 0. Let y(m) = 2*m**2 + 56*m - 34. Does 17 divide y(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z - 7. Let b be j(3). Suppose -b = -4*v + v - d, -v - 4*d + 17 = 0. Calculate the greatest common divisor of 63 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166310 is divided by 75.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 153\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(44*b - 31*b - 26*b + (2*b - 4 + 4)*(1 - 3 - 1)) + b + 0*b - 3*b.\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138253.\nAnswer: 3, 13, 109, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/495 and (4 - (-32)\/(-6)) + (-4188)\/(-3465).\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -16. Let t(g) = -48*g**2 - 9*g + 6. Let j be t(3). Let r = j - -579. What is the greatest common divisor of r and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6304*t + 144998. Give l(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19681\/2 - 39361\/4. What is the third biggest value in -0.5, 15, n, -1.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -60*m - 2215. Give r(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 16011, -17 in decreasing order.\nAnswer: 16011, -0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9416398 and 4558?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 0.10745241427.\nAnswer: 0.20745241427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 49*v + 6 + (2*v + v - 5*v)*(-6 + 3 - 2) to the form a + p*v and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34998 is divided by 3881.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**(-1\/16)*j**(8\/3)\/j**(-4\/7) assuming j is positive.\nAnswer: j**(1151\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9211713*n**3 - 13633105*n?\nAnswer: -55270278*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4204233, 8408474, 12612751, 16817082, 21021485, 25225978, 29430579, 33635306?\n\"Answer: 3*t**3 + 4204220*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1.9. What is the second smallest value in 0.5, 6\/11, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 divided by 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 5 + (sqrt(243) + sqrt(243) + (sqrt(243) - (-3*sqrt(243) + 2)))**2).\nAnswer: -1296*sqrt(3) + 52512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvavajaaavjjaaaaaa. Give prob of sequence aa.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 27 = -3. Let n = 86 + -75. Calculate the smallest common multiple of n and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 1 - (-2 - -3). Let z = h - 0. Is z\/3 + 292\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 1. Let c be l(1). Let z be (1*9\/(-84))\/(15\/c). Is z at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4330012.\nAnswer: 2, 727, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 + 127. Suppose 4*q + 5*s = 1373, 5*s = -q + 3 + b. List the prime factors of q.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*t = -344 - 13, 0 = 2*t. Let w = k + 199. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 3*m**2 + 3*m - 3. Let k be j(4). Let r(a) = a**3 + 6*a**2 - 8*a - 5. Calculate r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -2142\/37?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 11*k**2 + 4*k + 6. Let b be g(6). What is the common denominator of 19\/9 and (-6)\/b*(1 + 41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-5)\/(-2)) - -6. Suppose -f*h - 3*b - 3 + 2 = 0, -2*h = 3*b + 5. What is the highest common factor of h and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20169 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4582\/(-79))\/((-783)\/81).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((37\/(-666))\/((-4)\/16))\/(15\/27).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 18*p. Let y(v) = 10*v. Give k(y(r)).\nAnswer: 180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, s: 6, n: 2, r: 1}. What is prob of picking 1 p, 1 n, and 1 s?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22144 - -2.48\nAnswer: -22141.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (16\/6)\/((-80)\/(-120)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 102?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 12 = -11*w. Find the second derivative of 32*j - 13*j + 14*j**w - 11*j wrt j.\nAnswer: 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -316 (b) 1 (c) 1\/6 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 68*h + 204. Let o(i) = -1. Let x(m) = g(m) + 204*o(m). Let p(b) be the second derivative of -b**3\/3 - 4699*b. Give p(x(s)).\nAnswer: -136*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 151206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + 46. What is the greatest common divisor of 29 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -23263b8?\nAnswer: -2326400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/6 + (-8)\/(-12). Let a be -25*(1 - (-7)\/(-5)). Suppose -5*k - a - 5 = 0. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2880))\/(1*sqrt(360) + sqrt(10)))**2*-4.\nAnswer: -10368\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5.7 - -1.9\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = -2*q + 8, q = -b + 5. Let v(a) = a**2 - a + 18. Let j be v(q). Is 1498\/j - 16\/72 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*i. Let c = -34 + 37. Let v(n) = -111*n + 3000. Let w be v(27). Solve -w*l + 2*l - 14 = c*g, i = 3*g - l + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*y**4 + 4408034*y**3 - 188620*y**2 - 393 wrt y?\nAnswer: 888*y + 26448204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -4, 3, 1\/3 in increasing order.\nAnswer: -22, -4, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 - (-6 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d**3 - 528*d + 528*d.\nAnswer: -58*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384024 and 352022.\nAnswer: 4224264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 65*h**2 + 196*h - 10. Give x(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100102 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 441 - 231. What is the first derivative of -27 - b*x - 28 - 37 wrt x?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 - 3608*m**2 - 14445*m - 10836 = 0. What is m?\nAnswer: -3, -1, 3612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - -4)*144\/16 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + 5 + 2. Suppose -5*i + 4*b + 16 = 0, -b = 3*i - 19 + 6. Let f(c) = -t*c + 5 + i + 4*c. What is f(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from ykwwkkywwykkywwww?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 + 10.722.\nAnswer: -93.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 23.\nAnswer: 21\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1011110011010111?\nAnswer: 1011110011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102122220111 (base 3) in base 7?\nAnswer: -6316453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.97007729 to 2 dps.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18026192, -18026190, -18026188, -18026186?\n\"Answer: 2*c - 18026194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423738, -423728, -423718, -423708?\nAnswer: -423698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*i = 2 + 4, -i = 4*v + 12. Let b(s) be the third derivative of s**5\/20 + s**4\/8 + s**3\/6 - 2*s**2. Calculate b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 422074.\nAnswer: 3798666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815026.\nAnswer: 2, 631, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 40664?\nAnswer: 40664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 15*x + 19*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 62. Let i be l(19). Suppose -i*u + u - 170 = -w, -2*u = -w + 164. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (45\/10 - (4 + -5))*254 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974475 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9*b**2 + 1)*(2 + 0 - 3)*(129 - 118 - 349).\nAnswer: 3042*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -189, 4, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w*w\/w**(1\/2))\/w)*w)\/(w*(w**(2\/21)\/w)\/w)*((w\/(w*w\/(w*w**(-1)\/w)*w))\/w)\/(w*w\/w**(-5\/2)) assuming w is positive.\nAnswer: w**(-149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, t: 4, l: 7}. Give prob of picking 3 l and 1 t.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222.987383 - -1.2.\nAnswer: -221.787383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k + c - 2 - 36 = -35*k + 44, 3*k - 26 = -5*c for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 5*v - 5*f, -f + 4 = -2*f. Let m be (-303)\/(-12) + (-1)\/4. Suppose -j + v = -m. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h - 386. Let r(l) = -2*l + 5. Let v(i) = -g(i) + 5*r(i). Let f(q) = -2*q**2. What is f(v(y))?\nAnswer: -8*y**2 - 3288*y - 337842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4048973*h**2*t**2 - 24*h*t**2 - 5*h*t - 432*h - 3*t**2 - 3*t wrt h?\nAnswer: 8097946*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 3*d + 4. Let b be l(3). What is the common denominator of 5\/b*1526\/(-105) and -7\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2 + 832*x - 173056 = 0.\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**4 + 4*l**4 - 9*l + 10*l - l**3 - 2*l**2 to q*l**2 + y*l + c + d*l**3 + o*l**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -36, -78, -148, -252, -396, -586?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilo when three letters picked without replacement from iwfxolf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -14caa1?\nAnswer: 14caa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 473, 1564, 3695, 7214, 12469, 19808, 29579?\nAnswer: 42130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(102\/(-4)))\/(((-480)\/(-18480))\/((-21)\/77))\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26752715603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**5 - 3*m**5 + 4*m**5)*((0 + 2 - 1)*(-2 + 6 - 1) - 3 + 4 - 2).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -827294\/21 or -0.2?\nAnswer: -827294\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-3 - (-1 + -4)). Let p be (-3 - x)\/(1*1\/(-2)). Let j be p*(5 - (0 + 4)). Solve 3 = v + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p + 9*p + 3 + p - 17*p - 2*p**3 as z*p + v*p**3 + d + y*p**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/7)\/(-18*(-7)\/((-882)\/(-12))). What is the third biggest value in b, 11\/5, 52\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 5*t**2 - 108 - 77.\nAnswer: -t**2 - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*z**3 + 6*g**3*z + 1217*g**3 - 2*g**2 + 17444*g*z**3 wrt g.\nAnswer: 12*z**3 + 36*z + 7302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 3944990384.\nAnswer: -3944990383.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 3*o - o)*(0*o - 12*o - 6*o) + 51*o + 2894*o**2 - 91*o - 2895*o**2 + 3 in the form x*o**2 + u + c*o and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 23. Let l be z(-18). Suppose -5*a + x + 8274 = 0, -l*x = -a + 6*a - 8250. Suppose -10*v - 154 = -a. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -987, -1859, -2677, -3435, -4127, -4747?\nAnswer: -5289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 283*t**2 + 2608*t - 5840.\nAnswer: -(t - 5)*(t - 4)*(t + 292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2834 + 2838. Let h(n) = -2*n**3 - 4*n + 1. Let a(s) = -5*s**3 + s**2 - 8*s + 2. Let c(f) = -3*a(f) + 7*h(f). What is c(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3393? (a) -4 (b) -5 (c) 1 (d) 16\/5 (e) -1.2 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 14239016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -27.87458 and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -24. Suppose -2*b + 3 = -3. Calculate the smallest common multiple of p and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 46, -52 in increasing order.\nAnswer: -52, -3, -2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 36*u**2 + 306*u + 15. Determine h(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -234250 (base 7) in base 14?\nAnswer: -115d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a decade in years?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001275 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4 - 48*y**3 - 126*y**2 + 648*y + 729 = 0.\nAnswer: -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2\/9 (c) 133 (d) -4 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*2\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6395*u = 5690*u + 23970 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/(-4) - -23)*(-96)\/(-20).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - 4*x**4 - x**4 + (-x - 3*x + 2*x)*(1 - 1 + x**3) - 5*x**4 + 3*x**4 + x**4 + 7*x**4 + 9*x - 9*x.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(1*sqrt(7)))**2*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1*1 + 9. Let t = -211 + 227. Solve 3*q - 16 = d*q - 2*i, 4*i = 2*q + t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560 and 28.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/191)\/((c\/(c\/c**(-1\/4)))\/c*c))\/(c*(c*c**(-10)*c)\/c*c*c\/c**(2\/5)) assuming c is positive.\nAnswer: c**(25443\/3820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/8 - 97*y\/8 + 141\/4.\nAnswer: (y - 94)*(y - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba333 (base 12) to base 5.\nAnswer: 30331342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2777 = -4*f - v, -4*f + 11*v - 6*v = -2747. What is the greatest common factor of 252 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50977?\nAnswer: 19, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/6)*g)\/g*g\/(g*g**(-7)*g)*g*(g\/(g**(1\/8)\/g))\/(g*g*g*g**14) assuming g is positive.\nAnswer: g**(-175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3794 times -0.3?\nAnswer: -0.11382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*v - 7*v - 1548, 318 = -v + 4*u. Let b = 567 + v. What are the prime factors of b?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 10. Let b(a) = 2*a**2 - a - 19. Let n(s) = 6*b(s) + 11*z(s). Let v = -28 - -35. Give n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21777983 is divided by 2763?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9633, -19269, -28901, -38529, -48153, -57773, -67389?\nAnswer: -77001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 11, n: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4 + 1717*f**3 - 1776*f**2 - 27850025 wrt f?\nAnswer: 8*f**3 + 5151*f**2 - 3552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-2*r**2 - 2*r**4 + 2*r**2) + 120*r**2 + 1 + 1 - 133*r**2 - 5*r**4 + r**4 + 0*r + 0*r.\nAnswer: -6*r**4 - 13*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48013, -48012, -48011, -48010, -48009?\nAnswer: -48008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 9*q + 7. Let p be b(-8). Is (-1)\/(p*1\/37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 14*u**2 + 35*u - 45. Let z be w(16). Suppose -2*p = 3*k - 40853, 5*p + z*k - 34930 = 67216. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/312)\/(2\/(8\/(-3))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11445 - -11445.5. What is the fifth smallest value in -0.5, -3, 14, l, 7\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 2, u: 1, q: 7, w: 2, d: 2}. Give prob of sequence wqq.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 3\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -0.698?\nAnswer: 11.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 17*n. Let x be y(1). Let g = x + -12. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 5. Let p(k) = -13*k - 352. Determine -6*n(y) - p(y).\nAnswer: y + 322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-9 - -1) + -7 - -25?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -4, -30, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**4 - w**3 + w**2 - 2. Let h(p) = -24*p**4 - 183*p**3 - 291*p**2 - 168*p - 18. Let g(s) = -h(s) + 9*i(s). Factor g(k).\nAnswer: 3*k*(k + 2)**2*(11*k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -540522 (base 7) to base 11\nAnswer: -64604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*t = -4, 0*j + 7 = j - t. Suppose 0 = 2*f - j, -3*u + 3*f + 437 - 17 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.44961l in millilitres?\nAnswer: 11449.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 517 and 1477861?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -3\/4, -2, 5\/4, 1107, 66, -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781759104 a multiple of 2607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 3*d - 1208 + 1296, -14*x - 296 = -4*d for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is the remainder when 2\/8 + 4740\/48 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*c = 686 + 238 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 3*j**2 + 2 + j - 3*j - 2*j. Calculate g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-14))\/(1*(-6)\/14). Is y at most as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + -82. Let m be (y\/7)\/(45\/(-70)). Let k = 7 - 6. What is the closest to 0.1 in k, m, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**2*t*t**(-2\/9))\/(((t**6*t)\/t)\/(t\/(t*t**7))))**(14\/9) assuming t is positive.\nAnswer: t**(-1036\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = -5*n - 230, 131 = -3*n - 4*g. What is the common denominator of 27\/16 and n\/(-8)*6\/(-36)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1450 + 6*c + 4*c + c - 1468. Calculate m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3*u - 1 + 4*u)*(2*u**2 + 2*u**2 - 2*u**2) + (-4*u + 2*u**2 + 4*u)*(3*u - 5*u + 0*u))*(2*u + 3 - 3).\nAnswer: 20*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62256 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-93073)\/(-978) + -110)*6*1\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/((-28)\/12 + -1). Let u(m) be the first derivative of -5*m**3 - 9\/4*m**4 + 1 + 9\/2*m**2 + 3*m + y*m**5. Factor u(d).\nAnswer: 3*(d - 1)**2*(d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/17)*b\/(b*b**(-19\/3)))\/(b\/b**23)**13 assuming b is positive.\nAnswer: b**(14969\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 - f**3 - 219060263200*f + 219060263200*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475 = 4578*a - 4544*a - 1 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 4 (b) -5 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*m - 33 = 0, m + m = 3*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*x + 231 - 7, 12*x - 32 = -3*z + 13*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 6 - 3 + 8 - 3. Suppose 5*i + 7 = 237. Calculate the remainder when i is divided by y(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30836\/5 bigger than 4.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 1, m: 1, z: 1, v: 1}. What is prob of sequence daz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1243237*z**5 - 94*z**2 + 885*z wrt z?\nAnswer: -74594220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from uxcfjucxxcp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 18*x - 76. Let p(z) = -z - 14. Let k be p(-6). Does 52 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003032519 rounded to 7 dps?\nAnswer: 0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0 + -1 - (sqrt(27) + 2))*-2.\nAnswer: 6 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {d: 3, c: 3, n: 1, g: 2, o: 3, b: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5470 + 50964 - 3997)*(0*o + o - 3*o)*(-5 + 6 - 3) as x + i*o and give i.\nAnswer: 165988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)\/r*r**1)\/(r\/(r*r**(2\/3)))**(5\/8)*(r**1)**(5\/6)*r*r**(-4)*r\/(r*r**(-1\/3)) assuming r is positive.\nAnswer: r**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggygsyu. Give prob of picking 1 y and 1 g.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 5*s + 539 = 87*s. Let t be (-80)\/(-14) - 2\/(-7). Is t less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187600674 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/2)\/(v\/(v\/v**0*v)*v*v)*v**1*v*v**(-2\/9)*v*v assuming v is positive.\nAnswer: v**(77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5334 is divided by 2659?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imgi when four letters picked without replacement from {g: 1, m: 1, i: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/6*-1*(-23)\/(322\/(-609)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, n: 1, f: 2, r: 1, a: 2, g: 3}. What is prob of sequence nnaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + (6 - (-7 + -7 + (-2 - -7) + 4))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*h**3 - 11*h**2 + 5*h**2 + 8*h**4 - 14*h**4 + 6*h**2 as q*h**4 + b*h + j*h**2 + z + v*h**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2438, -2232, -1908, -1406, -666, 372, 1768, 3582?\nAnswer: 5874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.104 + 0.704. Suppose -2 = 5*f - 2*y, -5 = -2*f + y - 6*y. What is the closest to -2\/7 in f, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 24. Let f be j(14). Suppose -2*h + 5*k = -3, -f*h + 16*h - 3*k + 11 = 0. Sort h, 2, 5 in ascending order.\nAnswer: 2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.537 + -3.536998471. What is z rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 432071672, 432071673, 432071676, 432071681?\nAnswer: 432071688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5435 + 8643. Calculate the remainder when h is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 + 942*c\/5 + 188.\nAnswer: 2*(c + 1)*(c + 470)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*w + 24 - 2 = 0, -2*i - 2*w = 4. What is the remainder when 23 is divided by (i\/10)\/((-16)\/520)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -149, -208, -245, -254, -229, -164?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3586075 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 25*k = 860, 27*u + 238 = -26*u + 19*u - k + 3*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.5 - 21.5. Let y be ((-24)\/(-30))\/((-204)\/30). What is the nearest to -1\/10 in u, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + -9. Let c be (-2)\/(-9) - (-249)\/o. Let s be 15\/3*2\/(-2). Put c, s, 2 in decreasing order.\nAnswer: 2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 47 = 1. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81073 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)*-1 + sqrt(660) - sqrt(660))\/sqrt(11) - -6*sqrt(540))\/(5*(sqrt(432) - (sqrt(432) - (sqrt(432) + sqrt(432) + sqrt(432)*-1 + sqrt(432))))).\nAnswer: 17*sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 8*a - 20. Calculate b(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3 - 759*x**2 + 3072*x - 3084 = 0?\nAnswer: -257, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -30060, 12\/13, -0.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6518100 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 647 = -4*d, 3*d - 2*g - 492 = g. Let k = 2420 - 2260. Does d = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1811743, -3623487, -5435233, -7246981?\nAnswer: -9058731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 40. Suppose -3*p - 466 = b*m, 4*m + 5*p - 2*p = -374. Let c = m - 188. Round c to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.7. Let h = -0.4 + -0.1. What is the third biggest value in h, -3\/2, t?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*(-2 + (sqrt(605) - (4 + sqrt(605) + 1 + sqrt(605)))*6 + 3) + 4))**2.\nAnswer: 82500*sqrt(5) + 560125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10140259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -368.182?\nAnswer: -1104.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3012 (base 7) to base 4\nAnswer: 100032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*o = 18632, 4*a - 7*o + 10*o - 37244 = 0. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12150 and 3750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*n + 2 = 3*s + 15, 0*n + 10*n - 5*s = 25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 274050 to the nearest 1000.\nAnswer: 274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*y - 41, -y + 6*y = -2*w + 1. Let c = 281 + -461. Calculate the least common multiple of (((-2)\/(-4))\/1)\/((-5)\/c) and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 122*h + 698. What is b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1 + 7\/(-1*(-15)\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3 + 0*d + 0*d**2 + 3 + 0*d**4 + 1\/5*d**5. Find the third derivative of s(w) wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2906? (a) 3 (b) -834 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12784 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvrv when four letters picked without replacement from rrsrrvrjpjrvvrsrsrpr.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 7, u: 6, a: 2, i: 1}. What is prob of picking 1 a, 1 f, and 1 u?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/31 in -138, -5, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8652469207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/48*((-187)\/(-765))\/(9\/(-60))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:13 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*16\/(-84)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(54\/(-4)) + (-38598)\/(-54). Suppose -5*x + m = 4*g, -177 = 5*g - 6*g - 3*x. Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4348 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10 = 0, 9*k - 8*k + 7963 = -5*a. Let u be ((-1049538)\/(-88))\/((-6)\/4). Let j = k - u. Find the common denominator of 83\/8 and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -11279409.6?\nAnswer: -11279409.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/11))\/r**8)\/((r*r**(1\/4)\/r)\/r*r**(-5)) assuming r is positive.\nAnswer: r**(-47\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-4 - (-2 + -3)) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.289 take away -1928.1?\nAnswer: 1928.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*(-20)\/(-18). Let k(h) be the first derivative of -2*h**4 - i*h**3 + 0*h + 0*h**2 - 3. Find the third derivative of k(g) wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (229 - 242 - (-1 + -21)) + (52 - 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 6*f - 425*v + 211*v = -209*v - 29, -4 + 64 = 30*v for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -326618.2100005 + 326618. Let m = -0.173 + -0.037. Let w = m - u. What is w rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 98 in 3, -55\/8, 1\/2, 2.9, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i + 15. Determine y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f - 19 + 8 + 8 + 1 as l*f + v and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 2:37 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 - 0.01. Let d = -0.2 + s. Let c = -2 - 1. Put d, -1, c in decreasing order.\nAnswer: d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2\/77, 55 in increasing order.\nAnswer: -2\/77, 1\/2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 4, a: 9, v: 3, f: 2}. Give prob of picking 2 a.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 632 or 11985\/19?\nAnswer: 11985\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 6*r + 9. Let q be 5*(-36)\/60 + 4. Let h(f) = -f. Determine q*o(x) + 6*h(x).\nAnswer: 2*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, -8, -19, -34, -53?\n\"Answer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 3. Let z(j) = -7*j + 5. Let v(g) = 9*c(g) - 4*z(g). Let x be v(-7). Let b = -579 + 52687\/91. Is b < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65283900 to the nearest 1000000.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/((f*f**(-3\/5))\/f))\/f*f)*f**(2\/3))\/(f**(-8\/5)*f*f**(1\/34)) assuming f is positive.\nAnswer: f**(65\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2517, 2529, 2555, 2601, 2673?\n\"Answer: h**3 + h**2 + 2*h + 2513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 5*f**2 - 5*f + 8. Let t(q) = -6*q**2 - 27*q + 16. Let i be t(-5). Let p(x) = x**2 - x. Calculate i*b(v) - 5*p(v).\nAnswer: 2*v**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 359 = -2*r + 99. What is the least common multiple of r and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 91*o**2 - 53*o - 56*o - 3 - 100*o.\nAnswer: 91*o**2 - 209*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 + -2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) - 1*sqrt(300))*-4 - (-2 + sqrt(300) + 0)) + -3*(-6*(sqrt(300) + 1) - sqrt(300) - 6*(sqrt(300) - 1*sqrt(300))))**2.\nAnswer: 8000*sqrt(3) + 120400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 10:38 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - z**2 - z + 6. Let i be y(-2). Let m(x) = x**3 + 5*x**2 + 4*x + 5. Calculate m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20756.94474 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/13, 0.6, -4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10931 and 42.28.\nAnswer: 462162.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78292, 78228, 78164?\nAnswer: 78100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1958 and 1903682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 1:08 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 - -9931582572924.\nAnswer: 9931582572924.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {t: 1, e: 3, i: 1, y: 1, k: 3, v: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + ((-140)\/(-15) - 1). Suppose -k*j - 4*g + 14 = -4*j, 3*j + g - 7 = 0. Which is the fourth smallest value? (a) -0.1 (b) j (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {l: 3, m: 2, z: 10, j: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*g**4 - 15 + 27 - g**4 - 4 with respect to g.\nAnswer: -96*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/((l**(2\/5)*l)\/l))))**(-1\/51)*(l\/(l*l\/(l\/(l\/(l*l\/l**0)*l))))**19 assuming l is positive.\nAnswer: l**(-1\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 14125*w**5 - 268417*w**4 + 1130798*w**3 + 1409140*w**2 - 4200*w = 0. What is w?\nAnswer: -1, 0, 42\/14125, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 5:31 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -2116?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2\/125 of a kilometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 19. Suppose 8*l - w*l - 216 = 0. Suppose 6*a - 3*a - l = 0. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*2 + -5.\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186\/121 + -207148\/134915. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1952 and 32736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -0.136647.\nAnswer: 0.063353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 22. Let f = 10.25 - 14.25. What is the closest to 0 in -3, 6, v, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 1853*a**3 + 429759*a**2 + 431613*a.\nAnswer: a*(a - 1581)*(a - 273)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 83 - 7*t**2 - 33*t - 172 + 93 in the form d*t**2 + f + q*t and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7276 - 2.2724. What is the nearest to -2\/35 in 0.5, 4, 1, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19467 or -19274?\nAnswer: -19467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -9 - (8 + -5 + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(12)\/(sqrt(6)\/sqrt(2))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/149375 and -107\/250?\nAnswer: 298750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3 - 113. Let x = 93 + r. What are the prime factors of x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 4307665.09065.\nAnswer: -4307661.09065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-12))\/(154\/33)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-18)\/(-270)*0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -2, -1, 6 in ascending order.\nAnswer: -2, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 19*x**2 + x - 603. What is i(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 + 5*b + 5. Let w be g(-4). Let s be (w + -3)*(-24)\/8. Solve -4*t + 2 = -s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13361417\/20 - 667850. Let r = j + -221. Calculate the common denominator of ((-10)\/12)\/((-2)\/(-57)) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b04 (base 12) in base 2?\nAnswer: -110011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 262264044 and 12?\nAnswer: 262264044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41\/7? (a) 0.09 (b) 2\/9 (c) 214.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1544 = -4*j, -4*c - 37 = -j + 343. Calculate the smallest common multiple of 6 and j.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38546130*b**2 - 193963413*b + 2 wrt b.\nAnswer: -77092260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8274 divided by 7\nAnswer: -1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(117)\/(sqrt(9) + sqrt(36)) - (3 + (sqrt(208))**2)).\nAnswer: -206 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-9)*(-294)\/490?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*a + 762 + 574 = 0. Let u = -0.1 - -0.3. What is the second biggest value in -0.5, u, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*w**5 + 45*w**4 + 102*w**3 - 36*w**2 - 78*w - 9 = 0. Calculate w.\nAnswer: -1, -1\/8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2 - 6. Is 1\/(-1) + (-27)\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36302*s + 36312*s + 60 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 123*u + 8. Let i(j) = j - 1. Let b(a) = 2*i(a) - y(a). Let l be 1\/(-34) + (-8375)\/4250. What are the prime factors of b(l)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 4*l - 16 + (1 - 2 + 3)*(0*l + 9*l + 20*l))*(2*l + l + 3*l) in the form w + b*l**2 + h*l and give b.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/240 and -19\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnq when three letters picked without replacement from {i: 3, h: 1, j: 1, n: 3, f: 2, q: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -332320*z**5 - 9*z**2 + 2183*z wrt z.\nAnswer: -19939200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16641 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9878538 to the nearest one hundred thousand.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.477 - -0.277. Which is the nearest to 0.1? (a) m (b) -2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q**2 - 2*q**2 + 5*q**2)*(-119 - 10*q**2 + 119 + (-2*q**2 + 2 - 2)*(0 + 2 - 1)) in the form o + x*q**2 + r*q**3 + v*q**4 + b*q and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102463 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4007*-1\nAnswer: -4007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37806247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -791, -2675, -6343, -12389, -21407, -33991, -50735?\nAnswer: -72233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2424*b - 3098*b = 12132 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/23 - 284*o + 5316816\/23.\nAnswer: 2*(o - 1724)*(o - 1542)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130343130 - -42?\nAnswer: -130343033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 109*b - 574 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60 + 20 + -149 + 67. Suppose -5*n - 40 = -15. Which is the nearest to u? (a) 3 (b) 0.2 (c) 0 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.28 + 0.98. Let c = i + -8. Let h = c + 10.4. Which is greater: 1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1870 divided by -22\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3066289.04 to the nearest 10000.\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Let x = 5 - a. Round x to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 18281432.\nAnswer: 18281431.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 396 - 233. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:50 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/3 - 22*j = 0.\nAnswer: 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2816 and 39\/57484?\nAnswer: 40468736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*w**2 - 21*w**2 + 14*w**2 + (-3 + 3 + 2*w)*(3*w - 3*w - w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 6. Let v be g(-8). Let m = v + -7. Let n(h) = m*h**2 + 0*h**2 + 3 - 6*h**2. Let x(b) = 4*b**2 + 2. What is 2*n(i) - 3*x(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-1)\/(-2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341713 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1190b - -b10?\nAnswer: 1241b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*k*p + 191*j**2*k + 6*j**2*p - j*k + j*p + 5207*p + 1 wrt j?\nAnswer: -10*k*p + 382*k + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 35, 88, 171, 290, 451, 660, 923?\n\"Answer: n**3 + 6*n**2 + 4*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291649 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 301619399.57794 - -564.42206. Let f = k + -301619982.99999982. Let j = f + 19. What is j rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243288 and 28180860?\nAnswer: 169085160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3953369 is divided by 33503.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76686, 76726, 76824, 77010, 77314, 77766, 78396, 79234?\n\"Answer: 5*w**3 - w**2 + 8*w + 76674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 175*a + 174*a - 350*a - 64 - 2*a - 2*a + 3*a - a + 2*a + 0*a + (3*a - 2*a - 3*a)*(0 - 1 + 3) + a + 2 - 2 - 3*a + a + 0*a.\nAnswer: -6*a - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 898 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -72 (b) 2 (c) -2.5 (d) -3\/10 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 49270 from 11.\nAnswer: -49259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 31. Is -8 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-2 - -1)) + (-10)\/15. Factor -b - r**2 + r + 1\/3*r**3.\nAnswer: (r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 90 = -9*k. Suppose k*a - 144 = 6*a. Calculate the remainder when 78 is divided by (-2 + 60\/16)*a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 7*k + 3)*(-3 - k + 3 + (2 - 2 - k)*(0 + 2 - 4) + 0*k - 2*k + k - 2 - 2*k + 2) to z*k**2 + h + l*k and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 169759753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84702061 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235024*j - 11*w - 1 = -235027*j, 0 = -3*j - 2*w + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131 - 2414042?\nAnswer: -2413411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -19, -59, -125, -223, -359, -539?\n\"Answer: -k**3 - 4*k**2 - k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:33 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.024 * -0.1104.\nAnswer: -0.0026496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -52 (b) 2\/1283 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 51*c - 1910. Calculate y(37).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*z + 103 = -109, 0 = y - z - 106. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 219 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, x: 2, t: 5}. What is prob of sequence rxrt?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/6)\/((-14)\/42) - 329\/(-94).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-438)\/10)\/(4\/(-20)). Let o = 686 - a. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80 + 1224524768.\nAnswer: 1224524688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3 - -3) + 0)\/(-2). Suppose d + r*d + 243 = 3*x, -2*x - 3*d + 162 = 0. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 6 - (0 + -1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f - 2*t - 5, 4*f - 2*t - 12 = 0. Let y = 5 - 0. Suppose 0 = -5*h + y, -f*h - 20 = -z - 0*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 14*f + 899. Let t be y(0). Solve s - 893 + t = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/12)\/(4\/30). Let a(s) = -o*s + 3*s + 0*s. Let b(j) = j. What is b(a(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 216 + 108 - 297 = -13*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/26 (b) -0.5 (c) -0.08 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 1 + 1)*(1 + 0 + 0)*(12 + 11 + 9).\nAnswer: 128*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 3, q: 2, o: 4, n: 4, u: 1}. What is prob of sequence fn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14717*r**3 - 11*r**2 + 368319*r wrt r?\nAnswer: 88302*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -2. Suppose -j - 10 = -4*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3063410.\nAnswer: 2, 5, 7, 107, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 1. Let z be v(-2). Let n be (6 - z) + 0 + 1 + 0. Suppose -n*y - 90 = -5*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjtjwjtjw. Give prob of sequence jwtw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -560*i**2 + 2*i + 1. Let n be w(-1). Let p = n + 1275. Let u = 14 - p. What is u rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.14687 + -0.1.\nAnswer: -1.24687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 150 = -9*c. List the prime factors of 15\/c + 3\/((-12)\/(-230)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(-9)\/210*5. Let z be 899\/1044 - 6\/8. Which is the second smallest value? (a) k (b) 2 (c) -2\/7 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(45\/(-2)) - (-110)\/165.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130572374 and 2374?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 1 - 1\/24*z**4 + 0*z - z**2 + 1\/60*z**5 + 1\/3*z**3. Let h(a) be the second derivative of i(a). Give h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -15*f**4\/4 - 10*f**3\/3 + 5*f**2\/2 + 284. Factor o(i).\nAnswer: -5*i*(i + 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, -2\/7, 4\/1045, 0, -4?\nAnswer: 4\/1045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 4 - 1)*(2*k + 2*k - 2*k) + 5 - k - 5)*(3 + 0 - 2)*((2 - k - 2)*(4 + 3 - 6) - 3*k - k + 3*k - 1 + 1 + k) in the form v*k**2 + z + c*k and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 4, a: 6, c: 3, o: 1, x: 3}. What is prob of picking 1 c and 1 x?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 614 (c) 6 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/477 and -45\/742?\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6868, -10412, -13776, -16870, -19604, -21888?\n\"Answer: 15*r**3 - 3649*r - 3234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {r: 1, y: 5, o: 3, f: 2, z: 3, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31591199*o - 2960*o**3 - 31591199*o)*(o - o + 2*o)*(-2*o + o + 3*o).\nAnswer: -11840*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -7*i + 97041, 38*m - 37*m + 5*i - 32347 = 0. List the prime factors of m.\nAnswer: 7, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2. Let a(o) = -2*o**2 + 75*o - 75*o + o**2. What is a(c(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (796\/16)\/(3\/12). Let n = c - 199. Suppose 0 = -t + 5*t - 28. Sort 3, t, n.\nAnswer: n, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5214*i - 5065*i + 1341 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 81 = -9. Let q = x + 43. Let d = 1 + q. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2)\/(-4 + 3). Suppose j = -o - 0. Let z = 7 - j. Solve -3*c - z = 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*h + 506, -5*s + 2*h + 68 = -444. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52721951 * -7\nAnswer: 369053657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/12*(-5)\/6. Let m = h - -1\/24. Which is the nearest to -19? (a) m (b) 1\/2 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7)\/h**(-13))\/(h**1)**(12\/7))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**5\/20 + n**4\/3 + 346*n**3\/3 + 14807*n**2\/2 - 7798*n. What is the derivative of a(d) wrt d?\nAnswer: 3*d**2 + 8*d + 692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, 4, -9\/5, 0.3, 1\/4, -4, 1\/22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -5c?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 8.9, 572 in increasing order.\nAnswer: 0.4, 8.9, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(192) + 3*sqrt(12) + (sqrt(30) + 1*sqrt(30))\/sqrt(10) + 0)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 5*a**2 + 32*a + 2. Let u = -29 - -18. What is the tens digit of y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/15 - 180574*i**3\/5 + 5777592*i**2\/5 + 75831832*i\/15 + 25999584\/5 = 0. What is i?\nAnswer: -2, 36, 270829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27755 by 3965.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 11. Let l be g(-11). Suppose l = 5*d - 2 + 22. Let y be 2\/(-3) - 5\/(-3). Sort y, -2\/3, d.\nAnswer: d, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10942\/33 or -333?\nAnswer: -10942\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 8 = 3*h. Calculate the common denominator of 81\/10 and h\/(-14) + 4745\/546.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g - 34. Let k = -118 + 98. What is the remainder when 49 is divided by o(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 0)) + 4 + ((0 + sqrt(2057))*2 + sqrt(2057) - sqrt(2057)))**2.\nAnswer: 264*sqrt(17) + 18529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 22*p**2 + 8*p + 13. Let n be s(-2). Let l be n\/(-510) + (2 - 122\/(-156)). Is 3 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 2677324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279 + -405. Let y be (-75)\/(-5*(-4 - -3) - 4). Let p = y - w. What are the prime factors of p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-18 + 26) - -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 4*j - 3*c = 9, 4*j - 16 = -4*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -0.5, -0.07, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*r - 2, -3*o + 16 = 5*r - 0*o. Suppose 0 = -r*d + i + 57, 5*i - 16 - 50 = -3*d. What is the remainder when 93 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + t**2 + (-1 + 1 + t)*(-t - t + 4*t) - 12*t**2 + 4*t - 13*t**2 + 26*t**2.\nAnswer: 4*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 6) to base 7.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.1 (c) 2\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w + 6. Let b = -809 + 815. Let i(v) = 7*v - 11. Calculate b*i(y) + 11*p(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -29827*l + 7218126. Calculate d(242).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, 1 t, and 1 p when four letters picked without replacement from {w: 1, t: 1, c: 3, p: 1, l: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/15 + 852*c**3\/5 - 32954*c**2\/15 + 5400*c - 10120\/3 = 0.\nAnswer: 1, 2, 10, 1265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2)*3 - -6. Suppose -c + 4*q - 5 = 0, c = -l*c - 3*q + 56. Let x(f) = f + 70. Calculate the remainder when x(-53) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let w(h) = -2*h + 1. Let g(c) = c - 1. Let v = -2 - -4. Let k(s) = v*w(s) + 2*g(s). Determine k(d(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -3. Let b = s + 11. Suppose o = b*o - 24. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*u**2 - 14*u**2 - 68*u**2 to the form b + z*u + g*u**2 and give g.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-118)\/(-16))\/((-46)\/(-92)) + 117\/(-156).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:16 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793 = -8*y - 14*y + 375 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-9)*(-1)\/(-274). Let v = c + 21781\/2466. Let j = 1588\/9 - 1045\/6. Calculate the common denominator of j and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3341455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-2\/13)\/s))\/s**(-2))**(-2\/37))**40 assuming s is positive.\nAnswer: s**(-4320\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 13*d - 11. Let j be k(-14). Suppose -j*f = -1 - 5. Let o be 3\/f*(-60)\/(-5). What is the highest common factor of 198 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -1.1. Let l be 0 - ((-10)\/8 - -1). Let p = -0.9 + 1.2. Which is the smallest value? (a) l (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/5 + 84246*p\/5 - 84247\/5 = 0.\nAnswer: -84247, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/116604 and -45\/1264.\nAnswer: 466416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9671*o - 1325 = -9618*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(160)\/(sqrt(110)\/((sqrt(11) - sqrt(704)) + sqrt(11)) + sqrt(10)))\/((sqrt(200)\/sqrt(5))\/sqrt(5) + -1*sqrt(8)*-6)*5)**2.\nAnswer: 288\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k**2 + 50*k - 39. Let t be x(-7). Solve -24*i = -27*i - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 309*x + 206. Let u(o) = 7*o + 5. What is -5*m(f) + 206*u(f)?\nAnswer: -103*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -5, 5\/2, 0.04 in decreasing order.\nAnswer: 5\/2, 4\/3, 0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 2*j + 0*j + 2*j + 0 + 0 + (-j - 4 + 4)*(3 - 2 - 2) - 1 + 2*j + 1 - 4*j - 2*j - 3*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136539, 13, -3 in increasing order.\nAnswer: -136539, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5d11e (base 15) in base 13?\nAnswer: -2150849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23503523 - -32?\nAnswer: 23503555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -6\/5, -88 in increasing order.\nAnswer: -88, -6\/5, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5454540?\nAnswer: 2, 3, 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m - 112. Let g(p) = 6*p - 108. Let r(d) = 4*g(d) - 3*y(d). Let l be r(16). Solve l = -6*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175.02 - -0.98. Let t = -175.7 + g. Let d = 5 - 33\/7. Which is the smallest value? (a) d (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 210347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Suppose 0 = 20*u - 26*u + 24. Let p(o) be the second derivative of 0*o**3 + 3\/4*o**u + 0*o**2 + 3*o + 0. Determine p(s(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - (-1788)\/36. Suppose b = 4*r - 3*r. Let z(y) = 5*y**2 - y - 1. Calculate the remainder when r is divided by z(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -233*w - 189. Determine r(-2).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 14 + 21 = 28. Suppose 0 = -h - h + 24. What is the remainder when h is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 + 15*d - 153. Give v(6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2 and -46\/28902755.\nAnswer: 57805510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*i**3 - 41*c**2*i*t + c*i**3*t - 20*c*i**3 + 2*c*i - i**2*t wrt c?\nAnswer: 6*i**3 - 82*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 16*f - 45. Calculate k(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 12:16 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let s = d - -1. Let t be (-3)\/(-2)*4\/39. What is the second smallest value in -5, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39654 and 198270.\nAnswer: 198270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 118 + (-705608)\/5983 - (-9)\/(-30)*26\/217\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*f - 1 + 3, -5*v = -3*f - 5. Let u = -4 + 6. Suppose -x = -7 - 3. Solve v*l - x = u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -34. Let i be (-2)\/(-8) + (-1)\/8. Which is the smallest value? (a) -5 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 2*y**2 - 1627637 + 1627637.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12549?\nAnswer: 3, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1326 - 0.2326. Suppose 4*i - 5*j - 7 - 8 = 0, i = -5*j - 15. Suppose -m + 3*q = 18 + 1, m - 4*q + 21 = i. Is m less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/3 + (-2)\/3. Let c(k) be the third derivative of -k**4\/12 - 5*k**3\/3 - 553*k**2. Give c(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -27*i**2 + 806*i + 136. Give n(30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 51 = -61. Let a(i) = i**3 + 15*i**2 - 17*i - 6. Let h be a(-16). Calculate the greatest common divisor of n and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 2*b**3 + 7*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2e496 (base 15) to base 14\nAnswer: -3c6d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2059 + 2059 + 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2819384.000092 - -2819368. Let k = -16 - s. What is k rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1637 - -2246. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+87851\nAnswer: 87850.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-2*sqrt(48))\/sqrt(8))\/(sqrt(24)\/(sqrt(8) + 2*sqrt(8)))*1)**2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**3 + 2*q - 1. Let c(b) = -b**3 - b. Let f(y) = 5*c(y) + o(y). Let r be f(-2). Let h be (2\/r)\/((-2)\/6). Solve -5 = w - h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 + 3*c - 1713 + c**2 + 1713 to the form m*c + k + w*c**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 20736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 x when four letters picked without replacement from {i: 2, x: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00119 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2)*3 - -2*sqrt(22)*-3)\/(sqrt(396) + (sqrt(396) - (1*sqrt(396) - sqrt(396) - sqrt(396)))*-3).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-15))\/(12\/(-30)). Suppose f*s + 12 = 90. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.07518l in millilitres?\nAnswer: 56075.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u*w*y**3 + 4*u*y**3 - 2*u*y**2 - w**3*y**3 - 86*w*y**3 - 2*y**3 + 88 wrt w.\nAnswer: u*y**3 - 3*w**2*y**3 - 86*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0)\/(-1) + 2. Suppose o = w - 18. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -8. Let i = 110 - u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -1101000101001?\nAnswer: 1101000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -26*x - 28*x + 38 + 76*x - 24*x. Let v be t(13). Let m(n) = 0*n + 18*n**2 - v*n**2 - n - 5*n**2. What is m(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.7 minus -0.05147?\nAnswer: 494.75147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12462 by 4154.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1871303 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/(2376\/135728) + 4\/3. Let g = a + 1884. Factor 0 - g*n + 2\/9*n**3 + 0*n**2.\nAnswer: 2*n*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57)\/95*(-20)\/6. Let h = 2 + c. Suppose -5*d = -2*v - 59, -14 = 2*d - 4*d - h*v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 27 = -4*k, -2*k + 0*m + 21 = 5*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1444*p**2 + 1912312*p\/3 - 633126244\/9 = 0. What is p?\nAnswer: 12581\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 0*(0 - -1). Put 2, -2, 4, p in decreasing order.\nAnswer: 4, 2, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8911128 or 8911110?\nAnswer: 8911128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 - 7*l + 2. Calculate s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = -2*p + 3*p, 2*n - 2*p - 10 = 0. Let q(z) = 7*z - 8*z + 14 + 3 - n. Determine q(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780*y + 852 = 709*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 2*t**2 + t + 212. Let j be a(0). Suppose 2*u - 198 = -4*c, 3*c + j = 2*u - 0*c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20231*j*w**4 + 57462*j - 7*w**4 - 6*w**2 wrt w.\nAnswer: 485544*j*w - 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*c + 15, -7*p + 75 = 2*c + 3*c - 17*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 54602*u + 1581776.\nAnswer: 2*(u - 27272)*(u - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 19. Let w be c(-11). Let a = 33 - w. Is 2177 - ((a - 1) + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 1470495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**3 - 14 + 10*i**3 + 2*i**3 + (i + 2 - 2)*(i + 9*i - 2*i**2 + 3*i**2) to c*i + n + b*i**2 + p*i**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -5, 0.9, -0.02, 1\/3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cchhccbicdcddhhhcih. Give prob of picking 1 c, 1 i, and 1 b.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/((l\/(l*l*l**(-3\/5))*l)\/l)*((l**(-2\/5)*l*l)\/l*l*l)\/l)**(3\/4))**(-17\/6) assuming l is positive.\nAnswer: l**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0 + sqrt(468))*-2 - (sqrt(468) - 3*-2*sqrt(468)) - (-1*(sqrt(468) - (1 + sqrt(468)))**2 - (-2 + sqrt(468) + -2*sqrt(468))**2).\nAnswer: -42*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7393, 14794, 22199, 29608, 37021, 44438, 51859?\n\"Answer: 2*v**2 + 7395*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -5, -5\/53, 0, -2\/17 in descending order.\nAnswer: 3, 0, -5\/53, -0.1, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26186276 and 75632?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -16, 23, -3, 1 in descending order.\nAnswer: 23, 1, -3, -4, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-84)*13)\/((-88)\/(34496\/294))?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v + 385 = 0. Let l = 80 + v. Suppose -289 = -5*x - 3*a, l*x + 0*a - 173 = -2*a. Calculate the remainder when x is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -6 (c) 0.3 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2528*r - 138720 = -184*r - 24816 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 412433 (base 7) to base 14\nAnswer: 1b9c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 35*l**3 - 3*l**2 - 9*l - 36. Is c(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (3 - (-189)\/(-2 + -5)). Solve i*k + 40 = -62 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Let a = l + 4.0008. Round a to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 25, 14, -1, -20?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 26, 49, 86, 143, 226?\n\"Answer: c**3 - 2*c**2 + 14*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s**3 + 6*s**3 - 217*s**2 - 14*s**3 + 53*s**2.\nAnswer: 4*s**2*(s - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 8937 = 9537. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 2. Let s be w(6). Suppose -19*n + 12 = -13*n. Suppose n*a - s + 2 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6900*d - 175. Let w(h) = -119*h + 3. Determine -3*u(q) - 175*w(q).\nAnswer: 125*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.5, 0.8, 4, -2\/237?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9528 and 1.33.\nAnswer: -12672.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 + 147 - (-1809 + 0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 348 + -312. Differentiate -k + 117 - 4*h - 80*h**2 + 3*h + 10 wrt h.\nAnswer: -160*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from zbbcszbnzcsccbv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (40 - 1) - (-206 - -212).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 504 = -0*p - 4*a, -a = 4*p - 181. Suppose 0 = -i + 4 + 3. What is the least common multiple of p and i?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -170 - 446. Let f be 2\/((-99)\/p + 2\/(-16)). Does f = 26\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0568 + -0.3432. Let w = -0.73 - -0.86. Which is the second smallest value? (a) z (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203\/21 + -8)\/((-2)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmmj when four letters picked without replacement from mjjmj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + (0 - 4))*35. Let g(a) = -6*a - 5. Let j be g(-4). Suppose -4*z = -3*m + q, 1 = -4*z - j. Let h(s) = s**2 - 4*s + 1. Determine h(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 564 + -1651. Let l be (-6)\/(-21) + (-1)\/((-7)\/b). Let m = l + 283. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -4946?\nAnswer: -4938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -285 + 307. Suppose -o*d - 25 = -27*d. Solve -5*k - 13 = 3*q, k - 5*k - 3 = -d*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193429*w**4 + 10*w**3 - 2*w + 3691933 wrt w.\nAnswer: -2321148*w**2 + 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5857726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, q: 4, o: 5, p: 2, y: 1}. Give prob of picking 4 e.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let g(x) = x**2 - 5*x - 8. Let z be g(6). What is the lowest common multiple of o(z) and 8 - ((3 - 2) + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 414*m + 10049. What is y(23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-111159)\/98680)\/9 + (-1)\/(-8). Let w = 76449\/172690 - l. What is the common denominator of 0 - 6\/8*17 and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*p - 104*p - 18693 = 0 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-4))\/((-2)\/4). Let v(u) = 2*u**2 + 12*u + 10. Let w be v(m). Suppose 0 = -w*s + 3*s - 180. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w - w)*(11*w**3 - 7*w + 7*w) - 2*w**4 + 0 + 0.\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072\/(-350) - (-4 - 2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 2810097506?\nAnswer: 2810097511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 14 = 5*p + 13, -2*p = -2*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137537321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 6*x + 1713. Let q = 82 - x. Suppose q = 10*f - 2. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694857 is divided by 998?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.6 minus -83162240540?\nAnswer: 83162240771.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 = -129*d + 1523 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04959 + 0.24261. What is z rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 128. Give j(-19).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -27*s**2 + 310*s - 938. Calculate p(3).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24*m + 154 = 19*m, 2*m + 244 = 5*h. Is h greater than 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 718635 divided by -3.\nAnswer: -239545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o - 15. Let y(d) = -5*d - 17. Let t(c) = 6*y(c) - 7*z(c). Calculate t(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-38) - (-14283)\/(-15732)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 14*b**2 - 10*b + 13. Let w be q(-6). Let j(r) = r**2 - 1. Let s(u) = -7*u**2 + 4. Determine w*s(z) + 4*j(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*8\/64*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -22*b**2. Let q(n) be the third derivative of n**5\/30 - n**3\/6 + 185*n**2 - 2*n. Determine q(o(v)).\nAnswer: 968*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52574 and 542.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35838 + 36834. What is the greatest common factor of a and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 1 + 1 + (-2*n - 2*n + 2*n)*(4*n + 2*n - 5*n) - 3*n**2 + 5*n**2 - 3*n**2 + (3*n + 11*n - 7*n)*(-4*n + 3*n + 3*n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88.7 + -89. Let n = -387 + 362. What is the closest to 0 in f, -1\/6, 2\/9, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l. Let y(x) = 1908*x. Determine v(y(j)).\nAnswer: 17172*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-8))\/((-5)\/(-4)))\/((-143)\/(-78))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 35681 = 5*a, -44165 = -4*t - 6*a + 3435. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215\/4 - 65\/4. Suppose 3*r = 2*j + 3*j - 27, 2*r = -3*j + 20. Find the common denominator of m and 65\/12 + (-2)\/j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {p: 6, s: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2145200 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 3:21 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*q**4 + 216*q**3 + 564*q**2 + 536*q + 174 = 0. Calculate q.\nAnswer: -87\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, -109, -306, -671, -1258, -2121, -3314?\n\"Answer: -9*s**3 - 3*s**2 - 11*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26584612.9 and 735.17.\nAnswer: -26583877.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15*t + 10 - 14*t - 18. Let j be k(8). Solve 3*g + p = 6, j*g - 5*p = 4*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207095 and 18501.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**8\/16 + 61*p**7\/70 - 37*p**6\/8 + 43*p**5\/4 - 6*p**4 - 18*p**3 - 1893*p**2. Solve v(m) = 0.\nAnswer: -2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20338055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -314, -615, -920, -1229, -1542, -1859, -2180?\n\"Answer: -2*t**2 - 295*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + j = 1398, 3*l - 6*l = -3*j - 1056. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**18\/b**(-14))\/(b**2)**(-3\/26) assuming b is positive.\nAnswer: b**(419\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134390613 is divided by 3731?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261.00000035 + 261. What is m rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22 - 0.38. Which is smaller: -2\/9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 665098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 2657\/179?\nAnswer: 2657\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 4. Let d(s) = s - 1. What is -3*d(b) - p(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + p - 7. Let s be w(-7). Suppose -2*u + 50 = 2*g, -5*g + s = -0*u + u. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/21, -1513, -3, -3\/7, -0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 9, c: 1, j: 2, w: 2}. Give prob of sequence zww.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -2\/21*l**7 + 0 - 2\/5*l**6 - 3\/5*l**5 + 0*l**2 + 0*l**3 - 9*l - 1\/3*l**4. Factor s(d).\nAnswer: -4*d**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12114 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1614)\/5499 - 13684\/(-44473)?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 2*y - 15442 = 3*d, 4*d - 3*y - 15457 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 857, -4, -2.\nAnswer: -25, -4, -2, 857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2*1\/(-2). Let t be (-12)\/54 - 32\/18. Sort j, 3, t in decreasing order.\nAnswer: 3, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 17. Suppose -u*m + y = 5, -3 = 5*m - 3*y + 12. Let n be m\/3 + 8 - 2. Solve l - n*l = -25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65411\/660 + -1090\/11. Let c(f) be the third derivative of 0 - 3\/2*f**3 + 0*f + 4*f**2 - n*f**5 - 1\/24*f**4. Give c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - w = 50, -32 = -328*y + 331*y + w. Let v = -1 + 1. Is v greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 18326.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(153)*-2)\/(-4*sqrt(144)))**2.\nAnswer: 153\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16057 + 16065.5704. Let h = i + -8.5. Round h to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/45)\/(144\/(-360))*120\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -118*h - 2. Let y(w) = 2*w**2 + 32*w. Give t(y(b)).\nAnswer: -236*b**2 - 3776*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m*m**(-15))\/m**1*(m\/(m*m**0*m))**(-4\/23) assuming m is positive.\nAnswer: m**(-272\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 0*v**3 + 5*v**3 + (-148 + 33 - 72)*(-4*v**2 + 4*v**2 + 2*v**3) + 2*v**3 - 2*v + 2*v.\nAnswer: -368*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) 7 (c) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54176)\/(-2256) - 474\/33417?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 274, 1084, 2442, 4354, 6826, 9864?\n\"Answer: w**3 + 268*w**2 - w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 103803303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -0.4, 1, 2\/11, 109, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**9\/168 - u**5\/60 - 2*u**2 - 4*u. Let l(k) be the first derivative of o(k). What is the third derivative of l(q) wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)\/u*u**1)\/(u**2)**(3\/13))**(-44) assuming u is positive.\nAnswer: u**(1408\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (283200\/(-8))\/(-12)*(-12)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**2 + 246*k**4 + 35*k**3 - 40*k**2 - 251*k**4 + 25*k.\nAnswer: -5*k*(k - 5)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:25 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 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: What is 10 + (-2 - -10) + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 372, 380, 386, 390, 392, 392?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikiikkiikdi. Give prob of picking 3 k and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.44 + 1.948. Let y = z - 0.088. Let n = y + -6. Which is the biggest value? (a) 2 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547444.\nAnswer: 2, 3, 19, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1775 divide 4241339400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169708 and 134764?\nAnswer: 816804604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 5144292 and 87 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -9*q + 12*q, 5*y - 3*q - 2*q = 8 + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5585, -11628, -17669, -23708, -29745, -35780, -41813?\nAnswer: -47844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 61 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5854, -23381, -52628, -93625, -146402?\nAnswer: -210989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(9\/(-36)). Let c(q) = -5*q**2 + 4*q**z + 3*q**2. Let w(s) = -9*s - 4*s + 23*s - 8*s. Give c(w(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7. Let t(o) = u*o + 2*o - 4*o. Let l(n) = -n. Determine t(l(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/34)\/(291\/(-970))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236950*r**2 + 118496*r**2 + 118474*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**2*u**2 + 18*k**2*u + 3088*u**2 - 2 wrt k?\nAnswer: 8*k*u**2 + 36*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 - -44)\/(2 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**4 + 8*r**3 - 5*r**2 - 8*r. Let t(i) = 2*i**4 + 7*i**3 - 5*i**2 - 7*i. Let k = -504 + 501. Let q(z) = k*d(z) + 2*t(z). Factor q(f).\nAnswer: -5*f*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m*m**(-3\/7)))*(m\/((m*m**(-9))\/m))\/m*m**(-3\/7)*m**(-1\/8) assuming m is positive.\nAnswer: m**(505\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*m - 33 - 37 = 0, -3*v = 2*m - 197. Let b = 67 - v. Let k be (2 + 2)\/(4\/b). Solve k*x - 4 = 4*y, -2*y - 2*x + 5 = 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 200\/33407 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t**2 - 12*t + 12*t)*(3*t - 29*t - 55*t) + (0*t**2 + 7*t + 0*t**2 - t**2)*(0*t + 0*t - t).\nAnswer: -890*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6*-4*6\/1224.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2434 is divided by 1183?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1328, -1329, -1330, -1331, -1332, -1333?\n\"Answer: -s - 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(208)).\nAnswer: -10 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/10 + (-4)\/10. Suppose -23*b + 19*b = -36. Suppose p*t = -t + b. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.2, -1\/108, 1, -3, 8, -4 in decreasing order.\nAnswer: 8, 1, -1\/108, -2.2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4230422138.\nAnswer: 2, 181, 2851, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0597 + 0.0557. Let c = 10 + -12. Put c, -3\/7, x in ascending order.\nAnswer: c, -3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22585 divided by 5\nAnswer: 4517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:25 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 14*v - 7*v + 11*v to s*v + u and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) -3 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -109615 (base 10) to base 5\nAnswer: -12001430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(85) - sqrt(85) - sqrt(85))*5)\/sqrt(5).\nAnswer: -25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.82? (a) 3\/2 (b) -3\/7 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 492, 746, 1018, 1314?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*q - 17 = -0*o, -20*q + 6 = -3*o - 30 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 191559*p + 766284.\nAnswer: -3*(p - 4)*(p + 63857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.01 + -14.01. What is the biggest value in -0.1, 1, 1\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3772805 (base 11) in base 7?\nAnswer: -106441565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.6, 3, -1\/42, -4, 1.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 508901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -31367 + 191103. Suppose 4*w + 7997 = o, 5*o - 8*w - i = -5*w. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 - 5*a**4 + 4*a**4 + (2*a**3 - 5*a**2 + 5*a**2)*(a + a + 0*a).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Let w(f) = -44*f**3 - 6*f - 14. What is 8*k(i) - w(i)?\nAnswer: 44*i**3 - 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32042, 32046, 32050, 32054?\nAnswer: 32058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219\/469 + -60\/67. Which is the biggest value? (a) -4 (b) -2 (c) -343 (d) y (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 514\nAnswer: 10\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -2*(525\/30 + -6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 + 2*a - 3. Let q be u(2). Suppose q*h = -3*f - 1 + 151, -4*f = -3*h - 200. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 27 + 4)*(-3 - 2 + 0)*(2*g - 3*g + 3*g).\nAnswer: -320*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72 - -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.012 + 0.348. Let n = -0.4 + w. Let b = -8\/9 + 5\/9. What is the third smallest value in b, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 18*d - 220. Let h be v(-7). Put h, 5, -3, 2, 20 in decreasing order.\nAnswer: 20, 5, h, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*(-7)\/686)\/(75\/70).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1073 + 1066. Let v(j) = 9*j - 13. Let w(k) be the third derivative of k**4\/8 - 2*k**3\/3 - k**2 + 10. What is c*w(h) + 2*v(h)?\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3961, 15673, 35157, 62413, 97441, 140241, 190813?\n\"Answer: 3886*u**2 + 54*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2 + 28 = -5*p, 6*p - 2*j + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/8, -182, -294?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/10302 and -45\/22.\nAnswer: 113322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 3059518.\nAnswer: 3059524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.2. Let d = 0.6 + w. Put d, -5, -4 in increasing order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -0*o + 4*o. Suppose o = 15*x - 3*x. Solve -x*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341 + -341. Let o(v) be the second derivative of p - 8*v**3 - 7*v - 49\/25*v**5 - 16\/5*v**2 - 42\/5*v**4. Solve o(c) = 0 for c.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let l(y) = y. Let c be -1 + 108\/(-26) + (-398)\/(-2587). Let i(g) = 8*g - 1. Let z(o) = c*l(o) + i(o). Give z(a(q)).\nAnswer: 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1*sqrt(34)\/sqrt(2) + (-1 + sqrt(17))*-1 + -4*(sqrt(1088)*1 - sqrt(1088)))**2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1873071 is divided by 2052?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 o be 3\/((6\/14)\/(-3)). Suppose -26 - 124 = 5*j. Let c = o - j. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let n(j) = -j**2 + 9*j + 9. Let v(m) = m**2 - 4*m - 4. Let w(g) = -4*n(g) - 9*v(g). What is x(w(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 537631829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*u - 6*l + 22, -1 = -u - 5*l. Solve -3*f = -5*c - 29, -3*c + 6*f = 3*f + u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 2. Let n be j(-2). Let u be 38\/n + 4\/14. Find the third derivative of -w**6 + u*w**6 - w**2 + 2*w**2 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 3 (b) 5 (c) 4\/5 (d) -0.4 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127568 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/819 and 109\/74032.\nAnswer: 8661744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197120 or -197074?\nAnswer: -197120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 9.18.\nAnswer: 36.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -250.4354 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45092, 90590, 136088, 181586?\n\"Answer: 45498*l - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.65 and 0?\nAnswer: 13.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {b: 2, i: 1, a: 2, w: 1, j: 1, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q\/(q\/(q\/(q\/q**(-10)))))*q*(q\/((q*q**15\/q)\/q*q))\/q assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*s + 317*s + 5362 = -4250 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -13*c + 12. Let q be s(-6). What is the greatest common factor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*x + 28*x + 12. Let k(w) = -w**2 + 7*w + 5. Determine k(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/1437 (b) 6 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 22. Let n be (36\/o)\/(3\/16). What is the tens digit of n\/(-16)*(-104)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 444460.\nAnswer: 444460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**3 - 5*d**2 + 15*d + 53. Is o(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*c - 12 = 0, -7*g - 3*c + 100 - 135 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(637) - (-1 + sqrt(637)*-1)) + 5*-2*sqrt(637) + sqrt(637))**2 + 1*(1 + 0 + sqrt(637) + 3)).\nAnswer: -31218 + 91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33470 + 9170783\/274. Calculate the common denominator of 29\/2740 and t.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*m**4 + 63*m - 63*m + 4*m - 4*m + 2*m**4 + 0*m**4 + 3*m**4 + 13*m**4 + 0*m**2 + 0*m**2 - m**4 + (-m**3 - 3*m**3 + 6*m**3)*(-2*m - 1 + 1).\nAnswer: -23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 6*q - 16. Let p be z(-8). Suppose p = 4*j + j - 125. Suppose j = s - 0*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 484203157*t**2 + 695059244*t wrt t.\nAnswer: 968406314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179277196 to the power of 1\/3, to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:03 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 22. Suppose 3*y - 2*t - 6 = -0*y, i*y + 6 = -2*t. Let a = 107 - 105. Sort y, -4, a, 5 in decreasing order.\nAnswer: 5, a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/17 + 48*d**2\/17 - 2*d\/17 - 48\/17 = 0?\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m**2 - 20*m - 17. Let c(k) = -5*k**2 - 7*k - 6. Suppose -23 + 6 = -r. Determine r*c(l) - 6*v(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265 (base 16) to base 5.\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 75130, -5, 6 in decreasing order.\nAnswer: 75130, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 3, 4*c = w + 53. Calculate the remainder when ((-7)\/(-21))\/((-5)\/(-1035)) is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12956.68*0.1\nAnswer: 1295.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/38845436 and 167\/189336.\nAnswer: 233072616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-17120)\/(-11770))\/(80\/132)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-6))\/(24\/(-16)). What is the third smallest value in g, -4, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:40 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, c: 1, p: 1, s: 4, t: 9}. Give prob of sequence tcv.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -112357\nAnswer: 2\/112357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1265 and 0.08.\nAnswer: 101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59440778 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -888, 3, 4 in ascending order.\nAnswer: -888, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -167.8 in -2\/7, 0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -676d (base 14) to base 8\nAnswer: -43015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-30)\/168)\/((-6)\/21)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3650658, 4 in increasing order.\nAnswer: -3650658, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = -4*n - 286, -2*n - 56 = -s. What is the remainder when s is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.09493 grams in tonnes?\nAnswer: 0.00000109493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = d - 0*v, -4 = -4*v. Suppose 2 = 2*o - d. Find the third derivative of -o*k**3 - 8*k**3 + 16*k**2 - k**3 wrt k.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1249999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(2\/(-51)). Suppose 0 = -w - 5*s - t, 1 = -4*w + 5*s + 8. Let y be 38\/8 - w\/8. Solve 2*f - 3*f - y = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 174*m. Let r(d) = -240*d. What is i(r(v))?\nAnswer: -41760*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 2 - 2)*(2 + 2 - 6) - 2*s - s + s - 26*s - 190 + 190 + (2*s + 2*s - 2*s)*(52 - 36 + 15) as f + q*s and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 28 = 12*j, -13 + 23 = -5*m + j - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - k + 0*k + k + 0*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366350, 732724, 1099098, 1465472, 1831846, 2198220?\nAnswer: 2564594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 2197329?\nAnswer: 2197330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4659 + 6963. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*y + 4 = 0, 5*j + 5*y = 3*y + 2. Suppose 71*b - 74*b - 48 = 0. Sort 2, j, b in decreasing order.\nAnswer: 2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**4 + 507*t**3 - 345*t**2 - 171*t.\nAnswer: 3*t*(t - 1)*(t + 57)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -6, 0.3, 23.84, 0.5.\nAnswer: -6, 0.3, 0.5, 23.84, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183460 divided by 12.\nAnswer: 45865\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = 2. Let s = 0 + d. Let w = s + 9. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r**2 + 2*r + 3*r)*(-3*r + 9*r + r).\nAnswer: 14*r**3 + 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -28011*q - 1. Let h(c) = -5*c. Determine x(h(m)).\nAnswer: 140055*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 + 4*z + 365. Let b(d) = -d**2 + d + 2. Calculate 6*b(w) - i(w).\nAnswer: -2*w**2 + 2*w - 353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + i + 6, -88074*z = -88069*z + i - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/594)\/(2\/(-3))*-9*73?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -110) + (-1 - -20) + -44 + 33\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 + 4)*2 - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -b - 115, -4*t = 5*b - 4*b - 83. Suppose t*k + 42900 = 77*k. Is 78 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 2)*(-5 + 4 + 8) + 972 - 210 - 372)*(-y + y + y**2) to the form g + v*y + m*y**2 and give m.\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/9 + -10)*30*(-16)\/(-280).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160937614 to the power of 1\/2, to the nearest integer?\nAnswer: 12686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2005, -3993, -5981, -7969, -9957?\n\"Answer: -1988*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 7*k**4\/8 + 10*k**3 - 16*k**2 + 5. Determine u(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 5. Suppose 58 = 4*n + 46. Sort b, n, 1 in increasing order.\nAnswer: 1, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 8. Let h(t) = 3 + t + 4 + 3 - 13. Determine h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 43505*q**2. Let z(m) = 78*m**2 - 4. Determine z(u(p)).\nAnswer: 147629431950*p**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67083091?\nAnswer: 19, 3530689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x. Let z(y) be the first derivative of 10*y**3\/3 - 535. What is z(v(o))?\nAnswer: 490*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 71 = -69. What is the first derivative of 38*q**4 - 41 + 10*q**4 + 11*q**z - 4 wrt q?\nAnswer: 236*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + -1 + sqrt(76))**2*-5.\nAnswer: -3425 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d7 + -4b14?\nAnswer: -4c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.142428 - 0.057572. Let m = -230 + 382. Is m > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 29*k**2 - 759*k - 48. Calculate n(24).\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/16*56\/(-140).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*p - 0*m + 3135671, -6 = m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 6.8, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 22*b**2 - 51*b + 19. Let w(v) = 2*v**3 + 11*v**2 - 26*v + 10. Let n(t) = 5*w(t) - 3*x(t). Is n(9) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/198 and 89\/1100816.\nAnswer: 108980784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 796*x + 3189. Let w be p(-4). Put -14, w, -19, 4, -1 in descending order.\nAnswer: w, 4, -1, -14, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 20003?\nAnswer: -20013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*p + 15, -2*p + 9 = 4*o - 3*o. Let b be (o - 0) + (-9)\/6. Let v = 7.99 - 3.99. What is the biggest value in b, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 - 105474890*l + 556247621025605 = 0. What is l?\nAnswer: 10547489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 4*d**2 + d**2 + d**2 + 5*d**2 - 3 - 5*d**2 + (-2*d - 2*d + 3*d)*(1 - 1 - d).\nAnswer: d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-8)\/15)*2. Let c be 4\/10 - 24\/h. Suppose t - 81 = -c*t. Calculate the highest common divisor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - t + 275. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 62 = -3*t - 6*k, 17 = -5*t - 2*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3445105, -3445104, -3445103?\nAnswer: -3445102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 116\/151?\nAnswer: 116\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**5 - 3*v**4 + v**2 - v. Let z(i) = -i**4 - i**3 + i**2 - i. Let s(t) = t**2 - 18*t + 4. Let a be s(18). Let y(g) = a*l(g) - 4*z(g). Factor y(u).\nAnswer: 4*u**3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 627202*p + 19. Suppose -n = -4*b - 3, 5*b + 12 = n + n. Let l be g(n). Suppose 106400759 = -11*j - l. What is j rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 20. Let n(c) = -3 + 5*c + s*c**2 - 1 + c**2. Let h(m) = m**2 - m + 1. Let u(t) = -3*h(t) - n(t). What is u(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67222*n - 67277*n = 440 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**2 + 2*y - 1. Suppose 2*c + 4 = 60. Suppose 3 - c = -s. Calculate the remainder when k(-3) is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4207 - 3864 = -57*g - 7387 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -243, -426, -719, -1122?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 - 404780*g**2 - 7855058185*g + 13790346425210 = 0.\nAnswer: -41287, 1618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 - 2*g + 3. Let r(m) be the second derivative of -m**4\/6 - m**3\/6 + m**2 + 6*m. Give -3*n(z) + 5*r(z).\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (sqrt(1300) + -1 + sqrt(1300))) + sqrt(1300) - -6*sqrt(13)*2)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - 0.22. What is the closest to t in 4, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 33*l - 7. Let n(k) = 31*k - 8. Let u(z) = 3*n(z) - 2*v(z). Let o(t) = -t. Calculate o(u(p)).\nAnswer: -27*p + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -154.\nAnswer: -15\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1213?\nAnswer: -4\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 2*b**2 + 43*b - 43*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -143, -138, -133, -128?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in 3, 4, 2\/11, 2\/3, -8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 - -129. Let c(z) = -z**3 - 5*z**2 - 4*z - 4. Give c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 j when four letters picked without replacement from {d: 1, j: 3, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 274972 at most as big as 5224488\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 2*w**2 + 10 + 2*w**2 - 9*w. Let d be (6\/(-10))\/(((-7626)\/1435)\/62). What is q(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o. Let z(m) = -3299*m. Determine z(p(h)).\nAnswer: -9897*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z - 1. Let j be w(-5). Let a = 50 + -30. Let n = j - a. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**7\/315 - 23*c**6\/180 + 119*c**5\/90 + 143*c**4\/36 - 3822*c**2. Determine n so that j(n) = 0.\nAnswer: -1, 0, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -27. Is (-36)\/(-8)*(q + 6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*h**6 + 282*h**4 + 80380*h**2 wrt h?\nAnswer: -2280*h**3 + 6768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 65*j**2 + 220*j + 45. Let t(z) = 3*z**2 + 10*z + 2. Suppose 2*g = g + 3, 3*g - 15 = 3*b. Let i(f) = b*r(f) + 45*t(f). Suppose i(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 14 + 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*p + 9*p + 304 - 1464 = 0. Let w(m) = -2*m**2 + 20*m - 27. Give w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-45) - (-611)\/585.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*n = -164*n + 5263. Suppose 4847 = 28*l - n. Is l at most as big as 183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/783 + 863\/15660. Let x(g) be the second derivative of -h*g**5 + 0 - g + 0*g**3 - 7\/12*g**4 + 1\/2*g**2. What is x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -364936 - -364936.00359358. Round g to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.6207 - -0.2193. Round r to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/5*(-6 - -1). Suppose v + 7 = 10. What is the remainder when p\/15 - (-23)\/5 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/15 + 22*k**2\/3 + 1936*k\/15 + 10648\/15.\nAnswer: 2*(k + 11)*(k + 22)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from xffbftttxebxhfefbff.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 536231.3 decades?\nAnswer: 53623.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/120 and 53\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 3*r + 20. Suppose -p + 35 = 4*s, 0*s - r*p + 5 = 3*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30*(-1 + (-513994)\/6). Round c to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**3 - 1134197*p**2 - 787434*p?\nAnswer: 18*p - 2268394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5475 - 16426\/3. Put c, -0.0087, 5, 0 in increasing order.\nAnswer: c, -0.0087, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78 and 39.\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 5*a**4\/2 + 4*a**3\/3 - 5*a**2 + 1641. Let s(u) = -u**3 - u**2 + u. What is -n(w) - 8*s(w)?\nAnswer: -2*w**3 + 4*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-33) - (-2930)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/6)\/(-1)*-6. Suppose -c*b = -9*b. Suppose -h + 0*h + 379 = b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69845, -69847, -69849, -69851, -69853?\n\"Answer: -2*i - 69843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*c - 64 + 196 = -60*c. Solve -c + 49 = 9*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**2\/2 + 12*g - 2. Let b be k(8). Calculate the greatest common factor of b and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21366.\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, g: 1, k: 2, x: 5}. Give prob of sequence gt.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/9 + 22*y**4 - 1640*y**3\/9 - 453856*y**2\/9 - 2631040*y\/3 - 36965600\/9 = 0. What is y?\nAnswer: -82, -46, -10, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1505 (base 6) to base 16\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/3 + 2*w**2 + 7*w - 1. Let p be b(5). Let t(f) = 0*f**2 + 61 - 61 - 2*f**p. Let h(j) = -12*j**2. What is h(t(n))?\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27340, -27005, -26670, -26335, -26000?\nAnswer: -25665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -244. Suppose -2*t + 122 = -x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114478 divided by 3367\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -58 * -0.1\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 16 - 9)*(6 + 2*g - 3 - 5)*(1 - 2 + 2) - 16*g + 27*g - 17*g.\nAnswer: 28*g - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5420 + -97673\/18. What is the common denominator of f and (-2)\/(-30)*545\/218?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**4 - 2766 - 13836*g - 5583\/2*g**3 - 23571\/2*g**2 = 0. What is g?\nAnswer: -461, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4, -0.3, 4.04 in ascending order.\nAnswer: -0.3, -0.1, 4, 4.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -2 - (-5 - -2). Let p(l) = l**3 - l**2 + l + 2. Give p(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -609*u - 7792*u - 20955*u + 4541*u as x + v*u and give v.\nAnswer: -24815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (20*12\/96)\/(12\/(-2*24\/32))\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/267 and 13\/10?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**2)\/o)\/o**12*(o\/o**21)\/o**(-1) assuming o is positive.\nAnswer: o**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1377.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**4\/16 + 53*b**3\/12 - 116*b**2 + 1344*b - 3209. Factor u(g).\nAnswer: -(g - 21)*(g - 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Let p(a) = 223*a**2. Give p(c(x)).\nAnswer: 892*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/6 + 32*f**3\/3 + 3*f**2 - 18*f. Let q be p(-14). Suppose 144 = x + x. Calculate the greatest common factor of x and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*g + 432*g = -65 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 409529388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 458872 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 16*t - 12. Calculate the lowest common multiple of 20 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2)\/2 - (11 - 0). Let p(w) = -w - 15. Give p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -15, -12 in descending order.\nAnswer: 1, 0, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 9*p = 0. Suppose -2*u + 21 = u. Suppose -2*n + u*n - 25 = 0. Sort n, 4, p in descending order.\nAnswer: n, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -127 + -b?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 18*v - 61. Let f be x(-3). Solve 4*w + f = 2*w, 11 = 3*r + w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398 and 176044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, p: 2}. What is prob of picking 2 m?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1426*h + 360*h - 503 + 503.\nAnswer: 1786*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/432*(-12)\/(-8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 30\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/11)\/3 + 127\/(501523\/260993)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 40 = -3*i. Let s = -11 + i. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x - 20. Let h be w(4). Put -5, -1, 4, h in ascending order.\nAnswer: -5, h, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yylllgyggyyz. Give prob of sequence yz.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225 - 146. Let l = t - -373. What is the greatest common factor of l and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-12)\/74)*-8. Suppose 4*s - 218 = 2*b, -j = -5*s - 3*b + 108. What is the remainder when s is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 3*x - 23. Let g be i(-7). Let m be (5\/10)\/(2\/116). Suppose g*z = 76 + m. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*b - 24 = -6, 5*r + 4*b + 15 = 0. Suppose 2*h - c - 1 = 4*h, 0 = 5*h + c - 5. Let u = h + -3. Is u < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 227*o.\nAnswer: -227*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, r: 3, j: 4}. Give prob of sequence jjjr.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 j when four letters picked without replacement from {j: 4, r: 5, h: 5}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*j + 4*j = -9, 3*p - 3*j - 9 = 0. Solve -p*t = 5*o + 3 - 0, 0 = -o - 4*t + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2. Let c(t) = 3*t**2. Let d(m) = -3*c(m) - 2*h(m). Let l(y) be the second derivative of -y**4\/2 - 15*y - 5. Determine l(d(o)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 5*j**2 + 2. Let b be (-4)\/14 - (-99)\/(-21). Let w be p(b). Let y(m) = 4 - 1 + 8*m**w - 3. Let r(s) = 2*s**2. Give r(y(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10926*t**3 - 11*t**2 - 2*t - 1. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575582697.\nAnswer: 3, 281, 227593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 + -115. What is the second derivative of -5*x**4 + 1638*x + 0*x**b - 823*x - 827*x - 6*x**3 wrt x?\nAnswer: -60*x**2 - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (-4*sqrt(171) + -1 - -1*sqrt(171)*-1)**2 + -4 + 5.\nAnswer: 30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 11. Let g(d) = -2*d + 5. Let w(s) = 11*g(s) - 6*l(s). Let a be 44\/8 - (-1)\/(-2). Let c(k) = -k + 7. Determine a*w(o) + 8*c(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.176 + -5727?\nAnswer: -5727.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52\/8 + 4\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1010 and 43228.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 10 + 14 - 6)*(1 - 8*i + 0*i - i) as y*i + g*i**2 + j and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 1, j: 2, p: 2, y: 2, e: 3}. Give prob of picking 1 p, 1 j, and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-8 + 2) - (-1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (779\/(-38))\/((-9)\/(-6) - 2). Solve n*j = 58 + 65 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -3 - 37*(6 + -1). Let k = x + 364. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -213 - 93. Let p(v) = 631*v - 2871. Calculate the remainder when p(6) is divided by m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwttt. What is prob of sequence tww?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = y - 4*y - 2, -2*y = 3*l - 10. Suppose 1 = -5*u + 6, -5*f - y*u + 187 = 0. Suppose -3*c = 10 - f. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Suppose x = -5*b - 28 - 27. Let n = -7 - b. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 928620 and 57945888?\nAnswer: 289729440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501801549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -43, -1.1 in ascending order.\nAnswer: -43, -1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 92\/(0 + 4). Let o = m - -10. Suppose 31*x - o*x = -12. What is the highest common divisor of 66 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 868\/393 + 60\/131. What is the fourth biggest value in c, -2\/9, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4238 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95*63\/(-2394)*(-48)\/(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-54708)\/(-1222) - 45?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480728 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -27. What is the smallest common multiple of 20 and j\/(-1)*(-5)\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33998 or -33999?\nAnswer: -33999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6226 plus 0.108?\nAnswer: -6225.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59988 and 1038456.\nAnswer: 5191241544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 316*n - 51. Let o be ((-20)\/(-12) - -1) + 4\/12. What is the hundreds digit of p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003856 rounded to 5 decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-3))\/((-1)\/(-297)) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 6 = -0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -455?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.848 - -14.1544. Let z = -32 + d. What is z rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -2, 2\/5, 12, -5.\nAnswer: -5, -2, 2\/5, 12, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 804 + 2723 - 1919.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -16. What is the closest to 1\/4 in -4, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -117*v - 633. What is s(-5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 807 (b) 0 (c) -2\/797\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 20*k = 150. Suppose -5*r = -5*l - 4*r + 45, -4*r + k = 3*l. What is the remainder when 19 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*f**2 + 7 - 4 - 3*f - 5*f**2 + 0*f**2 + 3*f**2 + f - f - 2*f**2 + (4*f - f - f)*(-2*f + 4*f - 3*f) + f**2 - 2*f**2 - f**2 + 4*f + 3*f**2 - 4*f.\nAnswer: -3*f**2 - 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 4.4, 2 in increasing order.\nAnswer: 2, 4.4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 2. Suppose -65*q - 204 = -139. Let c(f) = f. Give q*c(s) + i(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8474*c + 59330. Let v = -29 - -67. What is the least common multiple of g(-7) and v?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*b - 4*w, 4 = 2*w - 4. Suppose -b*n - 8 = f + 2, 18 = f - 4*n. Is 14 a factor of f\/4*70\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -1.5 (c) 74114\/19 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 319 = k, -3*c - 193 = -0*k - k. Let m be c\/18*(-8)\/14. Suppose 2*n = -m*n - 800. Round n to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 6?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 19289*a**4 + 8464*a**2 - 9711*a**4 - 2*a**5 - 9758*a**4 - 3864*a**3 = 0. Calculate a.\nAnswer: -46, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.115, 1, 2\/39, -1\/2, 2\/19, -1 in descending order.\nAnswer: 1.115, 1, 2\/19, 2\/39, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 271*k + 200. Is v(96) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 3\/7 (b) -0.5 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(162) + 0)*-4 - sqrt(162) - sqrt(162)) - (-2 + (-2*(sqrt(162) + 0 - sqrt(162)))**2).\nAnswer: 2 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2687223 divided by 6.\nAnswer: 895741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/(m**(3\/5)\/m))\/(m**(-11)\/m*m*(m*m**(-3\/4)*m*m)\/m) assuming m is positive.\nAnswer: m**(363\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -9*g**5\/20 + 11*g**4\/12 - 22*g. What is the third derivative of b(i) wrt i?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - (-10 - -17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 109*h - 1399. What is z(-33)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001 - 31033322?\nAnswer: -31032321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -28, -38?\n\"Answer: -10*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -11. Suppose 2*j + 158 = k*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7313 - 7309. Let y(m) = m**2 + m. Let j be y(2). Suppose -j*h + 13 = -h - x, -x - 10 = -d*h. Solve 2*a + 5 = -h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - m - 16 = 0, -g = 7*m - 2*m + 14. Let w = g + -1. Let y(r) = 4*r - 7. List the prime factors of y(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 145170262?\nAnswer: 145170256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 14. Calculate the lowest common multiple of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**4 + 186834*k**3 + 4*k**2 + 3100*k + 96 wrt k?\nAnswer: 120*k + 1121004","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3542 is divided by 3195.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -1222\/11. Let o(v) be the second derivative of v**4\/12 - 5*v**3\/6 + 3*v**2\/2 + v. Let a be o(4). Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.09 + 8.39. Which is the nearest to k? (a) -1\/4 (b) -0.5 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 65\/7. Which is the nearest to p? (a) -5 (b) 0.5 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 3:52 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 195*o + 3662. Let g be w(21). Solve -g*j = 27*j + 105 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, e: 16}. Give prob of picking 2 l.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*p + 2*w, 3*p - w = -5*w - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -12. Let g(m) = m + 3. Let i be g(0). Solve -i*x = 4*h + 8, -11 = l*x + x + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1 = 14. Let k = 548090\/7 + -78298. What is the closest to -4\/3 in u, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6184742 and -85\/18.\nAnswer: 55662678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 22 - 20 - 6*d)*(-d**3 + d**3 + d**4).\nAnswer: -14*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*r = -457*r + 910*r - 8*v + 38, -4*v = r - 50 for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, 1 l, and 1 e when four letters picked without replacement from {r: 2, l: 1, b: 1, a: 1, e: 2, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -810, -1703, -2938, -4509, -6410?\nAnswer: -8635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -50. Let o(z) = z**2 - 73*z - 465. Let a be o(79). What is the smallest value in 2\/5, a, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10586 minus 2466?\nAnswer: -13052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)\/((((m\/m**(-2\/9))\/m)\/m*m)\/m))**(-22) assuming m is positive.\nAnswer: m**(-121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guu when three letters picked without replacement from tuguggttg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 23. Let y be (-1)\/r - 54\/84. What is the nearest to -1 in 2, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c080d (base 14) to base 7.\nAnswer: 31134416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 5. Let s = -41 - f. What is the second derivative of -s*y**5 + 22*y - 6*y + 3*y wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*g - 85 = 62, -2*b - 2*g + 148 = 0. Solve -10*a = b - 15 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-12 + (3 + -4 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1957488 - -3619277. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 4*z + 4, 0 = -q - 0*q + 4*z - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2 - 15*i - 3. Let o(m) = -13*m**2 + 29*m + 5. Let u(z) = -10*n(z) - 6*o(z). What is the second derivative of u(h) wrt h?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17083328 and 8?\nAnswer: 17083328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275) + -2*sqrt(1275) + sqrt(1275) + sqrt(1275))\/(sqrt(192)*-1).\nAnswer: -5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 12) to base 10.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 at most as big as -83142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/20)*w**(-7)\/w)\/(w*w*w**(-12)\/w*w*w*w**9) assuming w is positive.\nAnswer: w**(-157\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + (-3 - 7) - -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/16)\/((-6005)\/172944).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 176954 = 2*a, 442415 = -5*a + 28*n - 23*n. What is a rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35.4 from 3.9508035.\nAnswer: -31.4491965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*d - 56, 0 = -5*d + 4*d + 2*i. Find the second derivative of 33*x - 7*x**3 - 2*x**2 - d*x**3 - 4*x wrt x.\nAnswer: -90*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 23\/(207\/90). Solve 2*k + m*p - 18 = 2*p, p = -4*k + 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-234)\/156)\/((3\/(-75))\/((-3)\/((-15)\/2)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2221 divided by -4\nAnswer: -2221\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227972959*p**6 - 46*p**2 - 105407.\nAnswer: 27356755080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499075, -998151, -1497217, -1996267, -2495295, -2994295?\nAnswer: -3493261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c = -5*z + 30, -4*c = z + 4. Suppose -3*q + 1 = 2*j, 0 = 3*q - z*j + j - 21. Let m = 21 + q. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -1, 10, -3 in ascending order.\nAnswer: -5, -3, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllsllllllsssls. Give prob of picking 2 s.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((21\/(-7))\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(7\/5)*f**(3\/7)\/(f*f*f**3) assuming f is positive.\nAnswer: f**(-1538\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/251189 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 6*z**2 + 3*z - 18. Let l = 39 - 33. Let p be i(l). Solve r + r - 8 = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {b: 2, l: 1, r: 1, a: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -762 + 3?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from pddddyyywyyypyybhpyp.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1826 * 0.1\nAnswer: 182.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 253547010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859985859.\nAnswer: 3, 286661953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 3*x + 3. Let p be a(-3). Suppose -4*i - j = -55, p*i - 2*j - 24 = 31. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.15 - 1.92. Let o = 3 - y. Which is greater: 0.2 or o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*q = i - 95, 5*i = 2*q + 130. Suppose -3*h + 0*h + i = 3*l, 0 = 3*l - 3*h. Suppose 18 = l*a - 130. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 37 = t + 6, 41 = 2*t + k. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*z + 31, -71 = -2*x - 3*z - 2*z. Let d be (-210)\/(-90)*(-21492)\/(-42). Let f = x + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + 0)\/(-2 + 10\/4). Suppose -b*w = 4*w + 72. Let s(p) = 9 - 4*p**3 - 4*p**3 + 2*p**3. Let l(t) = -3*t**3 + 4. Give w*s(z) + 9*l(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 2*l**4 + l**4)*(0*l - 3*l - l)*((2 + 1 + 4)*(-2 + 7 - 4) - 4 - 1 + 1).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1068)\/((21\/2)\/(-7)). What is the greatest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 161608*s**2 + 161614*s + 323220.\nAnswer: -2*(s - 2)*(s + 1)*(s + 80805)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -2033320030102?\nAnswer: -2033320030112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/a**21 assuming a is positive.\nAnswer: a**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63100383 is divided by 47.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4763 (base 13) to base 11.\nAnswer: 7609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.935 + -0.055. Let n = -12.58 + s. What is n rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 33, -7 in ascending order.\nAnswer: -7, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -3.19.\nAnswer: 12.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4\/(-3))\/2)\/3. Let h be 2\/(24\/9)*48\/28. Let f = h - 20\/21. What is the nearest to -1\/4 in f, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.7339 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z - 833 + 1664 - 831. Let w(g) = 23*g**2 - 1. Calculate w(d(a)).\nAnswer: 828*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/26 and 61\/442?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -3, 2\/21, -7\/3, 4, -1908, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. What is the remainder when 8 + a - (-1 - -1) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 539, -740, -3911, -9604?\nAnswer: -18449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -o + 34*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 859985 = -2*j, 0*j + 4*j = -2*a + 1720010. Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83593, -83671, -83751, -83833?\n\"Answer: -z**2 - 75*z - 83517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1497.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*j + 242 = 0, -3 = 2*j + 1. Suppose 5*x + c = 4*d, 2*x + 50 = 2*d - 14. Calculate the greatest common divisor of 455 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 34*n**2 - 2*n + 13. Suppose 0 = 4*y - 7*w + 3*w - 296, -5*y + 2*w = -364. Let p = -78 + y. Is m(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 578*p**3\/7 - 238*p**2 - 202*p\/7 - 6\/7.\nAnswer: 2*(p - 3)*(17*p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 19*z**4 - 20*z**4 + 84*z + 1 - 26*z**4 - 13*z**4 + 80*z**4 to y + n*z**2 + m*z + i*z**3 + g*z**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -20200?\nAnswer: -21001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.6 - 13.1. Let f = r + -4.9. Let d = f - -1.400083. Round d to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626213632 divided by 32?\nAnswer: 19569176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let i(t) = 163906*t. Calculate k(i(s)).\nAnswer: 163906*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 560721 + 656?\nAnswer: 561577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 32 = -128. What is the least common multiple of 12 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 242112*s - 20323296.\nAnswer: -2*(s - 120972)*(s - 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 8, 4 in increasing order.\nAnswer: 4, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/3 + -2)*-30. Let l be 20\/6*36\/j. Let i be 0 - (l - (-5 + 4)). Solve -3*n + 3*x + i = 0, 2*n - n + x = 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2289 and -25164\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*t + 3*n, 8*t + 2*n + 19 = 59. Which is the second biggest value? (a) t (b) -11\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1752?\nAnswer: -1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 1716.\nAnswer: -35\/1716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.23, -5\/4, -0.725, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*f - 10. Suppose -f*l + 15 = -j, 0 = 7*l - 3*l + 3*j - 7. Suppose -l*w + 56 = -0*w. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 2*sqrt(1900)*-4 - 3*(sqrt(1900) + 1 + sqrt(1900)))**2.\nAnswer: 780*sqrt(19) + 321109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3995126563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60555, -60107, -59659?\nAnswer: -59211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {v: 7, d: 12}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 10:10 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let d be (-2)\/(((-8)\/6)\/k). Let g(c) = 0*c - d*c + 0*c + 4*c. Let o(r) = -r. What is o(g(t))?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 10 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 6*r - 3*r + 5, 3*r - 4*n = 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*m**2 - 224*m**2 + 0*m + 0*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7803937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158 divided by -3?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 659*i + 698. What are the prime factors of j(9)?\nAnswer: 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/12 - w**3\/2 - 5*w**2\/2 - 5*w. What is the units digit of t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 801447 + -251447. What is k rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1302507, -2605013, -3907519, -5210025, -6512531, -7815037?\nAnswer: -9117543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4 + 127*h**2 - 2*h - 1106 wrt h.\nAnswer: 24*h**2 + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -300.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 797 + 2138. Suppose 4*g = 5*o - w, 1774 = -3*o + 6*o - 5*g. Does 53 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1 - 2*w + 1 + 0. Let q(x) be the first derivative of 75*x**2\/2 - 11*x - 7. Let t(m) = -15*m + 2. Let u(p) = 2*q(p) + 11*t(p). Calculate u(o(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(7\/(-42)). Let o(i) = -r*i + 4*i + i - i. Let f(j) be the third derivative of -7*j**5\/60 + 5*j**2. Determine o(f(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 + 153. What is the remainder when 2936 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - (-4 - -5) - (-20 + 25)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 21*j**2 + 193*j. Let h(w) = 4666*w. What is h(i(n))?\nAnswer: 97986*n**2 + 900538*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 75613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + (-19)\/(-5))\/((-10)\/25). Solve 5*s - 29 = -z*k, 4*k - 2*s + 0*s = 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 2. Let l be r(-2). Let h be l + -4 + (8 - 2). Solve h*q - 3*q - 2 = 3*d, -3*q - 6 = 3*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107.21 + 135.21. What is the closest to 0.1 in 1\/5, -0.09, -1, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j**5 + 2*j**5 - 4*j**5 + j**5 + j - j + (-j**2 + 3*j - 3*j)*(j**3 - j + j) + 2*j**5 + 2*j - 2*j.\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6375485099 and -7?\nAnswer: 6375485092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7670 is divided by 427.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*c + 32*c = 0. Solve c*x = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-9 - (13 + -7 + -17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6331*t**5 - 1092*t**4 + 4953012*t**2 wrt t.\nAnswer: 379860*t**2 - 26208*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 25605396 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 52*c**3 - 45*c**3 - 4 + 23*c**3 + 150*c**3.\nAnswer: 76*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -2*z. Suppose -15 = -m - z*m. Suppose -3*g = 3*o + 762, -m*o - 16 = -4. What is g rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874149 (base 10) in base 8?\nAnswer: 12755445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12303, -12300, -12297, -12294?\nAnswer: -12291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**7\/21 - 14*r**6\/15 + 8*r**5\/5 + 7*r**4\/3 - 5*r**3 + 346*r + 6. Let k(i) = 0. What is i?\nAnswer: -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*t = 2, 3*u - t + 10 = -5. Let w(k) = -6*k - 2. Is 22 a factor of w(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + 728\/5. Suppose 3*l = u + 13. What is the remainder when l is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3159 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 418056 divided by 2\nAnswer: 209028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7456438 divided by 677858?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (410\/287 + -1)\/(7\/882).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 8. Suppose -2 = -i*l + 8. Solve -l*s - 5*g = -7*s, s - 2 = 2*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*p + 20 = 0, l + 3*p + 2 + 1 = 0. What is the greatest common factor of 33 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 379860*m*w**3 - 137*m*w - 194*w + 3 wrt w?\nAnswer: 2279160*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 992 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:17 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8263.66358 to the nearest 10.\nAnswer: -8260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/7)*y)\/y**(-12))\/((((y\/(y*y*(y\/y**(4\/9))\/y*y)*y)\/y)\/y)\/y)**(-4\/11) assuming y is positive.\nAnswer: y**(8410\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13768460?\nAnswer: 2, 5, 688423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17712730 and 20.\nAnswer: 35425460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004914 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/7, 306554, -6.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23182.\nAnswer: 2, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + 3. Let y be k(3). Suppose -3*d + y + 114 = 0. Is (-4305)\/(-13) - 6\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o - 16*o - 7*o - 12*o + 31*o.\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -423, -381, -319, -243, -159?\n\"Answer: -x**3 + 16*x**2 + x - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.894, -1\/3, 0.2, 2, 59, -1 in descending order.\nAnswer: 59, 2, 0.2, -1\/3, -0.894, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51 and -0.06?\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -1 (c) -4744\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 15*c - 17. Let i be v(-14). Let q be 2\/(-7) - (-5)\/(-7). Sort -2, q, i in decreasing order.\nAnswer: q, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 9*d**2 - 37 + 16.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2067\/429 + 4\/22. Solve 4*h + 13 = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3351?\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-126))\/(2\/(-3)). Let k = -30852 + 6386408\/207. Let s = -10\/23 + k. Sort -4, s, n in decreasing order.\nAnswer: s, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 64, 91, 114, 133?\n\"Answer: -2*b**2 + 37*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2970 and -1.4?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2144\/98624)\/(4\/46)*(-2*31)\/(-2)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64, 125, 186, 247, 308?\n\"Answer: 61*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*k - 13 + 17 - 4 in the form w*k + d and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 1. Let x(t) = 4*t - 6. Let h(v) = -4*o(v) + x(v). Let n(p) = -p. Let c be n(-3). List the prime factors of h(c).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(1 + sqrt(2299)))**2*-3.\nAnswer: -993600 - 9504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:49 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.708944mm in kilometers?\nAnswer: 0.000007708944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 + -16. Let l be ((-286)\/22)\/(1\/(2\/(-2))). Calculate the highest common factor of w and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -991 divided by -114\nAnswer: 991\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2226067*j**2 + 2226067*j**2 + 11*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.82?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24468717 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r - 4*x + 28, -161*r = -43*r + 4*x - 248 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 3 (c) -1\/3 (d) 1\/7 (e) 29 (f) -2\/41\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 5:39 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/12*(-16)\/(-6). Suppose -b*m + r = -21, -r = 5*m - 2*m - 14. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + h**2 - 1. Let p(j) = 28*j**3 + 20*j**2 - 24. Suppose 0 = m + 2*m - 3. Let t(o) = m*p(o) - 24*i(o). Factor t(a).\nAnswer: 4*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338 + -335. Solve -6 = -r*x - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-123960)\/7616*40\/(-6). Let w = 1926\/17 - x. Find the common denominator of 36\/7 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 755112 and 20897466?\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1 - 3*z + z - z**2 + 7*z**2. Let i = -4 - -4. Let q = 1 + i. What is c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -1\/45*t**4 - 1\/450*t**5 + 0 + 44*t**2 + 4\/45*t**3 + 0*t + 1\/900*t**6. Factor u(q).\nAnswer: 2*(q - 2)*(q - 1)*(q + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10024*n + 17979*n + 25732*n + 13288*n + 30550*n.\nAnswer: 77525*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(8) + -1 - 3*(sqrt(2) + -1 + -5 - sqrt(144)\/sqrt(8))) + 1.\nAnswer: 4*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -2\/19 (b) 0.19 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 322400839\/1148 + -280837. Calculate the common denominator of o and -2\/7.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*g + 138 = g, -3*g - 179 = -5*p. What is the highest common divisor of 333 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12416, 24831, 37256, 49697, 62160, 74651, 87176, 99741?\nAnswer: 112352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8268, 0, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 48 = -2*s, 5*n - 4*s = 4*n + 8. Let a = 4 - n. Calculate the least common multiple of a and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:07 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -995, -920, -587, 4, 853?\n\"Answer: 129*p**2 - 312*p - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 431856 and 12739752.\nAnswer: 25479504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 5*l**3 + 11*l**2 + 19 - 24 + 101 - 11*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/227? (a) 1 (b) -2\/3 (c) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -2\/7, -6130, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 22120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d**2 - 2 + 642*d**3 - 640*d**3 + 3*d**2 + 2*d in the form z*d**2 + m + w*d**3 + n*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 2. Let x be c(5). Let o = x - -3. Let d(w) = -7*w**2 + 5*w + 6*w**2 + 0*w**2. What is d(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.003 + 0.0129. Let v = q + 0.9841. What is the nearest to v in -0.2, 0.1, 52?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/3)*t*t\/t**(-12))\/(t**(-40)\/t**26) assuming t is positive.\nAnswer: t**(245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h + 3*h - s, 0 = -4*h + 2*s + 2. Let q = h + 4. Solve -r + t = -t + 8, 2*r - q*t = -12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y + 5. Let r = 1.07 + -0.97. Let d = r - 2.1. What is the closest to y in 4, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 3*p**2 + p**2)*(1 - 1 - 2*p)*(-38 - 13 - 26) to the form n*p + t*p**2 + d + f*p**3 and give f.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3855906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 31 = -2*k. Let m = 24 + -20. Suppose n + 24 = 2*n + m*t, -k = -3*n + t. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133 + 133 + 8*i)*(-5*i**4 - 494*i**2 + 494*i**2 + 1).\nAnswer: -40*i**5 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {b: 2, r: 1, o: 4, t: 2, x: 1, d: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -99\/4. Let a = 5.3 + -4.9. What is the second smallest value in a, 1, b, -17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 48 + 23, -5*d = 2*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -4718?\nAnswer: 471b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1196 + -118402\/99. Let a = -2122465 + 2731612679\/1287. Let t = b - a. What is the third biggest value in -0.1, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 1:15 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2664 = 7*x - 3*x, 0 = 4*x + 2*r - 2634. What are the prime factors of x?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4649 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22782 - -22786. Solve u + 12 + p = 5*w, 3*w - 8 = -u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 72, 104, 158, 240?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*o = 25, -3*o + 10 = 2763*v - 2758*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6 = l + 23, -2*x + 4*l - 4 = 0. Let a be x\/22 - 163\/(-11). Let m(z) = z - 9. Let f be m(9). Solve f = -0*s - 3*s + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 3) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1098*l**2 - 2*l + 3. Let a be d(-3). Let n = -5260 - a. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167 - 47114?\nAnswer: -47303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41518 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 938655 divided by -1?\nAnswer: -938655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7140\/90)\/(4\/(-6)). Let b = -107 - i. Solve -11 = -h - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:28 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1497795227 to the nearest integer?\nAnswer: 38701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -8 + -16 + 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 3. Let d = -86 - -79. Determine h(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2 + 5*t + 3. Let a be o(-5). Suppose 6*p - 15 = a*p. Suppose -4*f + 11 = -p. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from nlnnnnnnl.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 297213408?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15078296323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7503654.21 to the nearest 10000.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1941804097 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3024, 2906, 2806, 2730, 2684, 2674, 2706?\n\"Answer: z**3 + 3*z**2 - 134*z + 3154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 210*s**2 + 7*s + 45. What is the hundreds digit of g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-78)\/10 + (-931 - -939). What is the biggest value in -11, l, -2, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 7*l**3 + 3*l**3)*(-4*l**2 + 0*l**2 + l**2) + 3 + l**5 - 3.\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/14 + 50237\/154)*2. Let w = -651 + j. Solve -s = -w*m - 7, 0*s - s = -3*m - 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkokokkkkoooo. What is prob of picking 2 o?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305226 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: ((-1333)\/258)\/(((-113)\/(-678))\/(4\/(-2) - -1))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 + 6*k - 6*k + 2*k**3 + 2*k**4 - 4*k**3 + 4*k**3 - k**4 + k**4 - k**4 + (k**2 - 4*k**2 + 2*k**2)*(-2*k**2 - 3 + 3).\nAnswer: 5*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*f**2 - 15*f**2 - 6404*f**3 + 6335*f**3 + 29*f**2 wrt f.\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 less than 10.3?\nAnswer: 104.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 11*d**2 + 12*d - 15. Let o be u(10). Suppose 17 = -3*r + o. Let s = 14\/3 + r. Which is the nearest to -0.02? (a) 4 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3151, -1484, 1293, 5180?\nAnswer: 10177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.1 - 39. Let f = 62.1 - m. Let c = 64.000168 - f. Round c to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 14801.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1042 from -4.\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1534)\/(-87438))\/((-2)\/12)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 3714\/41?\nAnswer: 3714\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*w = h, 0 = -2*h - 3*w + 14. Suppose -8*i + 6512 = -h*i. Is i\/10 + 5\/25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + k + 2*k)*(0 - 2 + 1) + 1383*k + 0 - 23634*k + 10572*k - 2 - 21180*k to s*k + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 14208\nAnswer: 1\/2368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1443 - -1442. Let t(r) = 51*r**2 + r. Determine t(w).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11210012022122 + -10?\nAnswer: -11210012022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2145640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/((-38)\/(-57))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680964 is divided by 1751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - ((-2)\/3)\/((-28)\/(-147)). Let p(q) be the second derivative of -q + 0 - 1\/20*q**5 - k*q**2 - 1\/3*q**3 + 1\/6*q**4. Calculate p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 13643*j\/2.\nAnswer: j*(j - 27286)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**5\/c*c\/c**(-3\/5)*(c\/c**(-5\/3))\/(c*c\/(c**(3\/5)*c)) assuming c is positive.\nAnswer: c**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - (-32)\/(-6))*(18 - 21). Solve -23 = f + 5*h, d = 5*h + 29 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126575 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 24*o - 24*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, 3\/4, -0.08, -0.01695 in decreasing order.\nAnswer: 5, 3\/4, 0.3, -0.01695, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/15 + 2*d**2\/5.\nAnswer: 2*d**2*(d + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 30*a - 5. Let y(n) = 23*n. Determine y(g(i)).\nAnswer: 690*i - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*s - 9 = 5*s, -s = 3. Let u be (-4)\/6 + j\/((-30)\/(-115)). Suppose 2*d - 43 = -u. Calculate the greatest common factor of d and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62, 66, 72, 80, 90, 102, 116?\n\"Answer: g**2 + g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g + 0)*(g**4 - 2*g**4 - g**4) - 3*g**5 + 0*g**5 + 2*g**5 + 4*g - 4*g - g**5 + 2*g**5 - 5*g**5 + 5*g**5 + 6*g**2 - 4*g**2 - 3*g**5 - 3*g**2.\nAnswer: -5*g**5 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/28 and 65\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.561196m?\nAnswer: 656.1196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-24)\/(-54)*3*-4. Suppose -84 = p*q - 468. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*c = -80*c - 1422. Let z(j) = -j**3 - 10*j**2 - 13*j + 12. Calculate the remainder when c is divided by z(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -529, -527, -513, -481?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4\/3*d**2 + 0*d - 4\/3*d**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14310 = -2*r - 2*l, 4 = l + 3*l. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*n**3 + d*q - 177*n**3*q + n**3 - n*q + n - 37*q wrt n?\nAnswer: 12*d*n - 1062*n*q + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 11*i + 2. Let d be o(-11). Does 19 divide (d*2 + -13 + 28)*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/4382 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 87, -7, -127, -267?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748 by 4.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 15 - (-3 + -2 + (1 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*y + y. Suppose 7*f - 2*f + 60 = 0. Let j be (-2)\/f + 1\/3. Is j bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223*-12\nAnswer: -2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 2*m, -8 + 10 = 4*m - 2*p. What is the lowest common multiple of 282 and m?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let i be p(3). Differentiate 4*k - i - k + 0*k wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6384091, 12768176, 19152251, 25536310, 31920347, 38304356?\n\"Answer: -v**3 + v**2 + 6384089*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2200594180?\nAnswer: 2, 5, 110029709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + x)*(86*x + 2173*x - 551*x) to the form a*x**2 + n + y*x and give a.\nAnswer: 1708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 12. Let x be o(9). Let w = -1 - x. Suppose -w*n + 4*n = 114. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/7, -0.3, 7 in increasing order.\nAnswer: -0.3, -1\/7, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*v - 4972*c**3 + 32*c**2*w**2 + 2*c*w**2 + 4*v*w**2 + 139*v*w - 104*v with respect to v.\nAnswer: c**3 + 4*w**2 + 139*w - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g + 7 - 62*g + 15 - 22.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.6, -0.03, -12538?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 578 + -233. List the prime factors of n.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260 and 650.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13636523 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from {t: 9, a: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41454 and 40467?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-72)*(-6)\/8*6\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 6*g - 164. Suppose -5*s = -2*y - 23, -s = -g*s - y - 1. Solve -s*u = -u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u**2 + 4. Let t be n(0). Let h be (9\/6)\/((-10)\/t). Which is the nearest to 1? (a) 0 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*(70\/112)\/5*8.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 1. Calculate the remainder when 86 is divided by f*(-16)\/(-6)*(-165)\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/14566728 and 65\/165531.\nAnswer: 14566728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + 2. Let m(g) = -39*g + 27. Let n(b) = 4*m(b) - 54*w(b). Let d = 0 - -1. What is the units digit of n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17949, 35885, 53821, 71757?\nAnswer: 89693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 41 + 29*r - 43 to the form o + z*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v. Let s(t) = -7*t. Let i be (-198)\/(-33)*2\/(-3). Let j(y) = i*s(y) - 5*f(y). Let m(l) = -23*l. Give j(m(q)).\nAnswer: 46*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, y: 4}. Give prob of sequence ny.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212.64 + 212. Let z = -2.36 + s. Let w = 8 - 14. What is the closest to z in 2\/11, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*b - 82 = 212 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-5)\/3750*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = 2. Let k(j) = 21*j - 9 - 38*j + 17*j + 11*j. Let w(g) = -10*g + 8. Let a(n) = 5*k(n) + 6*w(n). Determine a(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174624 and 5565712?\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 1188?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1078)\/(-33) - (-2)\/6. Calculate the highest common factor of 231 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.11 (b) 1\/3 (c) -1 (d) -42 (e) -0.015 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3522\/17 - -213547\/1020. Calculate the common denominator of g and 115\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 3*z**2 + 0*z**2)*(z + 0 + 0) + z**3 - 3*z**3 + 6*z**3 - 2*z**3 - z**3 + 0*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 199*w - 1042. What is v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 163612, 327191, 490770, 654349?\n\"Answer: 163579*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.9, -0.09, -6, -56, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + 90*g**2 - 34*g + 546. What is p(-45)?\nAnswer: 2076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 55. Let y = i + 54. Suppose -y - 8 = -5*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 991\/(-17838) + (-133)\/36.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -369708?\nAnswer: 36970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.77577181 to the nearest integer.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q. Let o(m) = -95*m**2 + 3. Determine o(f(t)).\nAnswer: -380*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102022012 (base 3) in base 8?\nAnswer: -66423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*h + 6*t, 231*h - 233*h + 4*t = 8*t + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -9. Let f = v + 23. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/51)\/(4\/(-36)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -6. Let x be -2*o*(-5)\/(-4). What is the remainder when 2 + x + 44 - 2 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/15)\/(n\/((n**(2\/49)*n)\/n)*n))**6 assuming n is positive.\nAnswer: n**(-3272\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1953237 divided by -471\nAnswer: -4147","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*n + 8, 227*n - 9*v - 24 = 225*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-42))\/((-5)\/((-245)\/(-14))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*b - 2058 = 0, o - 1033 = 16*b - 17*b. What is the greatest common factor of 9 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 28*w**2 + 24*w - 1. Let o be a(-29). What is the greatest common factor of 324 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9\/2, 7, 5?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10789 is divided by 300?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 0\/(3 + -6 - -2). Let v be (105\/(-6) + l)*(0 + 4). Let t = -63 - v. Is -0.005 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*t = 189*t - 4*b - 3, 0 = 4*t - 3*b + 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 180109 (base 10) to base 15\nAnswer: 38574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -46521.7974 to the nearest ten.\nAnswer: -46520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:02 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-2144)\/(-4920)) + (-3)\/5. Let k = p - 4\/41. What is the closest to 1 in k, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.7 + 4. Let r = 44.8 - -174.2. Let k = r + -214. What is the second biggest value in z, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let v(t) = -t + 24. Suppose -112 = -5*s - 4*h, 5*s - 49 - 60 = -3*h. Let p be v(s). Calculate the highest common factor of b and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, f: 2, i: 9, x: 1}. Give prob of sequence iiax.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858*h - 224*h + 273*h - h**2 + 1.\nAnswer: -h**2 + 907*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314637 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2709513?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -2)\/(-24) + (-1)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10a3a2 (base 13) to base 8\nAnswer: -1401256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5194381 is divided by 128.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = -2*t. Which is the second smallest value? (a) 2 (b) 38 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*b**5 - 228*b**2?\nAnswer: -2760*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -17. Let p(g) = -g - 8. Let c be p(-10). Suppose -4*k + 1 = -2*f - 13, -9 = -c*k - f. Solve 3*l = k*d - 15 + 7, -4*d + 4 = -t*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + ((-9)\/36)\/(7\/28). Solve 16 = 4*t, 3*f - 23 = y*f - 2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18400041.\nAnswer: 3, 11, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9\/((v\/(v\/v**(5\/3)))\/v*v)*(v**(2\/23)*v)**(-4\/27) assuming v is positive.\nAnswer: v**(4454\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -990*u - 2. Let b(w) = 12912*w + 27. What is -4*b(r) - 54*c(r)?\nAnswer: 1812*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2 = 0, 12*f = 11*f + 4*p - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 2209.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/8*1\/2. Suppose -3*w - 3*k + 14 = c*k, 5*w = -4*k + 6. Let v be 112\/(-231) - w\/(-11). Is v less than -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b4 + 4?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, 4\/11, -0.3 in ascending order.\nAnswer: -1\/2, -0.3, 4\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -r - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let t = z + 3. Which is the second biggest value? (a) -3 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/754 + (-19793)\/638. Which is bigger: -31 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g + 5. Let r(l) = 3*l + 2. Let h(c) = 10*r(c) - 4*y(c). Let z(n) = -4*n - 6. Let u(f) = f + 1. Let i(p) = -6*u(p) - z(p). What is i(h(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 10 = -3*a. What is the least common multiple of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28 + 165 - (0 + -1 - -2). Let j be 6\/(-9)*(-6)\/m. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**4\/24 - z**3\/6 - 99*z**2. Let r(g) = -11*g - 23. Let p(q) = -5*b(q) + r(q). Differentiate p(u) wrt u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35891, -36856, -37821, -38786, -39751, -40716?\n\"Answer: -965*x - 34926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313839491.\nAnswer: 7, 44834213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -153649, -153708, -153767, -153826, -153885?\n\"Answer: -59*l - 153590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15279 + -550097\/36. Let q = -2173579\/680436 - 1\/18901. What is the common denominator of t and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13822, 13871, 13920, 13969, 14018, 14067?\nAnswer: 14116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 5*c**3\/6 - 35*c**2 + 3*c - 13. Let m be g(14). Solve 7*r = -m - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*sqrt(108))\/(-4*sqrt(40)\/sqrt(10)))**2.\nAnswer: 691\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2007*p**2 - 1435*p**2 - 2434*p**2.\nAnswer: -5876*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*f + y, 15 = f - y - 0*y. Suppose -2*t + 7 = -f. Let a = t - 6. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 329194\/114 - (-5)\/(-3). Calculate the highest common divisor of 78 and v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/3 + q**2\/3 - q\/3 - 1\/3 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgffukffguf. Give prob of sequence kfgf.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/7244 and (-446 - -474)*((-4)\/(-42) - 0).\nAnswer: 21732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -588?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38333017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -477559, -477564, -477567, -477568, -477567?\nAnswer: -477564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-7)))\/h**19 assuming h is positive.\nAnswer: h**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/147)\/((-14)\/49)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1 (c) -1\/4 (d) -7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - 6 - -6 - -6. Suppose c = w + a - 10 - 52, 4*a + 94 = 2*w. Calculate the remainder when w is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137310 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 4*b**2 + 17*b - 578. Give v(0).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 67 = 3*c, 2*c + 4*v = 8*v + 34. Solve -3*s = -5*x + c, s - 5*x = -0*x - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/((-708)\/1000)*(-12)\/20*(-8)\/5?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 3, c: 3, i: 3}. Give prob of picking 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 3*l + 44 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*m + 6 = 0, -3*v - 27195 = 4*m - 27191 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 203410 in -3\/8, -0.1, 2, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 401485 and 25.\nAnswer: 2007425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is daba - -2?\nAnswer: dabc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93997 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 33*o + 198. Determine w(26).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.6 and 100.378.\nAnswer: -662.4948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + 2 + 5*b**2 + 4*b + 2*b**2 - 3. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85530*f**3 + 85533*f**3 + 5*f - 5*f + 0*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - 3*z**3 + 1 - 1 + 2*z**3 + z**3 - 4 + 4 + (-2*z - z + z)*(-2*z**2 + 0 + 0) - 613 - 133*z**3 + 613 + 2*z**3 + 0*z**2 + 0*z**2.\nAnswer: -127*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12403.\nAnswer: 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -187*o**3 + 6*o**2 - 22*o + 12. What is the ten thousands digit of a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82387 is divided by 4361?\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5761 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/4 at most as big as 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, -1, -12, -2, 0 in ascending order.\nAnswer: -21, -12, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24316, 24282, 24234, 24178, 24120, 24066, 24022?\nAnswer: 23994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-105)\/28)\/(-3))\/(10\/4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*z**5 - z + 85 wrt z?\nAnswer: -1940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, -4722, 0 in decreasing order.\nAnswer: 15, 5, 0, -4722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-353)\/(-7) - (-57)\/(-133). Let c(l) be the second derivative of 2*l**3\/3 - 2*l**2 - 2*l. Let t be c(6). What is the highest common factor of t and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92104 divided by -3176.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 769289.6g?\nAnswer: 769.2896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*x = 2*x. Solve -2*w = -x*s + 3*s + 1, 3*s = -w + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*z - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*f + 21, 2*y + 4*f + 5 = 3. Let n = 117 + -41. Let c = 77 - n. Calculate the greatest common divisor of y and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1243 + 2049. Let p = d + -428. Suppose 4*i - 2*l = p, 0 = -4*i - 7*l + 4*l + 403. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 29 + 14. Suppose -i*j = j - 312. Find the common denominator of 3328\/j - 2\/12 and 28\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428838772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -26*d + 10. Let o be h(-3). Let s = o + -41. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - g = -7, -5*j + 8 = -2*g - 8. Suppose -19 = c - j*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.5432 weeks to hours.\nAnswer: 14875.2576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293303 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 + -163?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 - 5) + -4 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 342 + -220. Suppose 3*o - 762 = -3*l, -3*l - 4*o + i = -640. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2581936*q. Let c(j) = -j**2 + 8. Give c(z(u)).\nAnswer: -6666393508096*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 44231754*u + 1 + 44231547*u - 88463313*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 + 3 + 0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -71*l**2. Let g(s) = 25*s + 2. What is v(g(w))?\nAnswer: -44375*w**2 - 7100*w - 284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-19698)\/1809))\/((3\/(-7))\/(-1)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 4*l**2 - 2*l - 3. Suppose 4*o - 14 = n, o + 3*n = 5*o - 18. Let c be i(o). Suppose 255 = 5*u + 2*z, -2*z + c*z = u - 51. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15098, -15096, -15092, -15086, -15078?\n\"Answer: z**2 - z - 15098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20*x - 17. Suppose -2*i = 6, -4*p + 5*i = -p - 24. Let l be v(p). Let j = l + 11. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4793966909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 - 5*r**3 - 13*r**4 + 3*r**3 + (3*r**2 - 3 + 3)*(-33*r**2 + 26*r**2 + 19*r**2).\nAnswer: 23*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3*r**4\/4 - 5*r**3 + 12*r**2 - 12*r + 25. Determine t so that x(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 9*z**2 - 21*z + 3. Determine k(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, u: 4, a: 3}. What is prob of sequence rr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 184155152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - 5*g - 3*g**3)*(-2*g - 2185 + g + 2154) to the form c*g**3 + r*g**2 + y*g + v + i*g**4 and give c.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52440)\/(-48070)*(-2)\/16.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66a475 - 0?\nAnswer: -66a475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -f - k + 71, 5*f = -4*k + 367. Let r be (-1 - 2)*1000\/f. Is (0 - -23)*(r\/2)\/(-5) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 122 = -2. Let s = 50 + b. Suppose -4*p = -0*r - 2*r - s, -2*p - 14 = 5*r. Let c(a) = -2*a + 3. Determine c(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 24\/32)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10 = 14. Solve u - 3*u - c*y - 4 = 0, 0 = -u - 4*y - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 23) + -17 + 28 + -49.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5, -2*v - 13528 = -2*x - 68218. Does 113 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -74714*z - 74714. Calculate s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -441 - -435. What is the hundreds digit of 11\/(99\/s) - (-3390)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2693558334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 1\/5*y**2 - 1\/10*y**4 + 2\/15*y**3 + 0*y - 1 - 2\/25*y**5. Factor l(s).\nAnswer: -2*s*(s - 1)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5 (c) 10.94 (d) -22 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 + 730656*y**2 + 66728620362*y - 667359271220 = 0. Calculate y.\nAnswer: -182669, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 353 = 215. Let c(q) = q**2 + 18*q + 10. Let l be c(-8). Let i = b + l. Solve 3 + i = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (sqrt(539) + 0 - sqrt(539)) - ((sqrt(99)*2)**2 + sqrt(11)).\nAnswer: -396 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*t. Let x be (-2)\/((40\/(-2))\/t). Factor -s**2 + x*s + 0.\nAnswer: -s*(5*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 16 + 12 - 2*q**3 + 4*q**3 in the form h*q + m + l*q**3 + u*q**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -578\/9. Let w be 72\/(-28) + 6\/2. Sort 4, 1, t, w in increasing order.\nAnswer: t, w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkwkkkkkkkkk. Give prob of sequence kk.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*(-140)\/5145)\/((90\/7)\/3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10878 and 111.\nAnswer: 10878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*f - 2 + 1 - 70*f + (6 - 2 - 2)*(-4*f + 0*f + 2*f) - 4 + 3*f + 4.\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2581 - 46 = -5*j, 2*j - 1034 = -3*v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 - -5 - (740 - 688).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 787 + -425. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6441*b - 5481288. Give x(851).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/180 - z**4\/24 - z**3\/2 - 2*z**2. Let y(p) be the first derivative of u(p). What is the derivative of y(j) wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(12) - (sqrt(12) + sqrt(108))))\/(-2*sqrt(2)*-5) + 0)*4*-4.\nAnswer: 8*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + p + 2*p)*(195 - 94 - 106 - 66*p).\nAnswer: 198*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*-16\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, 30, 116, 288, 576, 1010, 1620?\n\"Answer: 5*d**3 - 2*d**2 + d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/7 + (-1 - 0). Let q = 12.1784 - 0.0784. Let o = q + -11.5. Put b, 0.3, 0.5, o in descending order.\nAnswer: o, 0.5, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 8:54 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 75*-1\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 18*x**5 + 3678*x**4 + 29438*x**3 + 7370*x**2 - 15272*x + 3136 = 0.\nAnswer: -196, -8, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 147?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51457341 is divided by 3229?\nAnswer: 3226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2993000 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from qrmsz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -5220001*q**3\/6 - q**2 + 13*q. Let y = 48 + -50. Let r be j(y). Round r to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1353524 - -1352877.0684. Let d = f + 320.9459. Let s = -326 - d. What is s rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-6))\/((-10)\/(-150)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/3)*(y*y\/(y\/y**(-2))*y)\/y*y\/y**(1\/3)*y*(y\/y**0)\/y*y*y**(-1\/3)*y*y**3*y**(-2\/3)\/y**(1\/3) assuming y is positive.\nAnswer: y**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -5. Let d = 3.5 + 11.5. What is the second biggest value in r, d, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 6548 = 12*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245 by -49.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 9*r**2 - r - 2. Let b(w) = -3 + 9*w**2 - 3479*w**3 + 1736*w**3 - w + 1745*w**3. Calculate 4*b(q) - 6*h(q).\nAnswer: 2*q**3 - 18*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 41*w - 153 = 247 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1714, -3373, -4908, -6325, -7630?\nAnswer: -8829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -2*v. Let a(s) = -3*s**3 - 5*s**2 - 16*s - 24. Let u be a(-2). Solve v*p - u = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 10*r - 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11498 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3))**(12\/7)*(c*c\/(c\/((c\/(c*c\/c**(1\/2)))\/c)))**(-27\/4))\/((c\/c**4)\/c*c\/c**0*(c**1)**(-4\/39)) assuming c is positive.\nAnswer: c**(16643\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139490, -279232, -418974, -558716, -698458?\nAnswer: -838200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + m - m)*(2*m + 0*m - 5*m) + (3*m - 3*m - 3*m)*(0*m**2 + m**2 - 2*m**2).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50833000 rounded to the nearest 100000?\nAnswer: -50800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9642 + 9642 - 95*t**3.\nAnswer: -95*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14696 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -13. Let n = 48 + w. What is the remainder when n is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*b = -63*b - 156. Solve b*h = 7*h - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:38 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3409862 divided by -292.\nAnswer: 1704931\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) -4\/3 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2083403211 to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020865611 rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 - 80*o**2 + 240*o = 0. What is o?\nAnswer: 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -31712?\nAnswer: -31707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3435386?\nAnswer: 2, 239, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -48b748 (base 12) in base 6?\nAnswer: -41152532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6 = 9. Suppose 15 = 5*p, -y*f + f - p = -99. Suppose 2*a - 4*d - f = -2*a, -2*d + 53 = 5*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*n = 46, 23*z = 2*n + n - 4*n - 23 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 3, t: 1, r: 6}. What is prob of sequence trg?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88280, 353215, 794788, 1413005, 2207872, 3179395, 4327580, 5652433?\nAnswer: 7153960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + (sqrt(2736) - (sqrt(2736) - 2*sqrt(2736))) - ((sqrt(2736) - ((sqrt(2736) - (sqrt(2736) + -1)) + 0)) + 0 + sqrt(2736) + -3)) + 4 + -3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1329 - 10*a - 1329.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 96 = 2*m, 2*f + 4*m - 27 = m. Suppose d = -f - 33. Let b = d - -71. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 59*x + 117. Let z(k) = -20*k - 41. Give 6*v(d) + 17*z(d).\nAnswer: 14*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10155, 20327, 30501, 40677, 50855, 61035?\nAnswer: 71217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -886 + 892. Calculate the smallest common multiple of 36 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*q**3 + 30\/7*q**2 - 64\/7 - 36\/7*q.\nAnswer: 2*(q - 2)*(q + 1)*(q + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 + -137 + 295 + 2 + -34?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Differentiate -5*r**2 + 1 + 2 + 0 - l*r**2 with respect to r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {r: 2, t: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - z = 21, -2*g + 47 = 2*z + 17. Let u = g + -3. Let p = u + 6. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 88 (c) -42 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z. Let t(f) = 2*f**2 - 13 + 13 + 3*f**2. Calculate m(t(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -0*w - 5*w. Let u = 32 + w. Solve -u*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = j + 37, -791*j + 786*j - 25 = 0. What is the remainder when n is divided by -1 - (-9)\/((-18)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*k = 35, 2*h + 0*k + 3*k = 7. Which is the third biggest value? (a) 4\/9 (b) -0.1 (c) h (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238 - -245.7.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -271472?\nAnswer: 2443248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*u = -7424 - 248 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**3 - 764*b**2 - 541*b + 3703. Calculate r(128).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/22)\/((-10)\/(-15)*63\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2. Let d(l) = -l. Let f(b) = -b - 1018 + 0*b + 1018. Suppose 0 = 3*c - 13 + 10. Let w(k) = c*f(k) - 2*d(k). Calculate w(z(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**3 - 9*u**2 - 8. Let i(t) = 5*t**3 + 7*t**2 + 8. Let v(n) = 4*i(n) + 3*z(n). What is v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.005 - 19. Let r = i + -0.004882. Round r to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28814 - 9595 - 36*n**2 - 9620 - 9599.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -2*m - 3*g, -17373*g - 139 - 11 = 5*m - 17368*g for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 1330 + (2\/(-23) - (-795)\/(-115))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767742 divided by -255914?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 3. Let v(d) = -2*d**2 - 8*d + 11. What is 9*l(q) - 2*v(q)?\nAnswer: 4*q**2 - 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127790961 to the nearest integer?\nAnswer: 11304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 - 479\/3. Determine l, given that -4\/3*l**2 - 4\/3*l - c = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*a - 148 = 0, -4*a + 150 + 38 = 3*t. Suppose -33 - 47 = -5*n. Let v = t - n. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -41*t**2 - 15*t**2 + 5 - 10*t**3 + 65*t - 4*t**2. Let p(r) = 5*r**3 + 30*r**2 - 32*r - 3. Let f(s) = -3*k(s) - 5*p(s). Find h such that f(h) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -13552213.\nAnswer: 542088.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = -24*d + 969. Let q(g) = 59*g - 13*g - 24*g - d*g. Let m(u) = 9*u - 6. Let r(v) = 9*v - 7. Let j(p) = 7*m(p) - 6*r(p). What is j(q(f))?\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 2, o: 2, m: 1, u: 1}. What is prob of sequence pj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3\/4, -2605?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84627.\nAnswer: 3, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 3*t - 5*t)*(8*t + 22*t - 11*t) - 2*t**2 + 0*t**2 + 0*t**2 + (-3 + t + 0*t + 5)*(-1 + 1 + t).\nAnswer: -267*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -396 - -398. Let t = 3 - 6. Let v = t - -5. Solve -3*q = b + 9, c*b - 3*q - q - v = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = 0. Let h(q) = -4*q + 114 - 8*q**2 + 4*q - 12*q**2 - 3*q + 21*q**2. What is the units digit of h(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 7*y**2 - 8*y + 2. Suppose -3*d = d + 24. Let u be b(d). Let k(i) = i - 12. Let g be k(u). Solve 3*x = -x + 2*m - 8, -3*m + 4 = -g*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*f + 51, -5*n + f + 51 = -2*f. Let p be (200\/n - 3)*9. Suppose p + 107 = 5*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1731*i - 596*i - 66*i - 3*i)*(4*i**3 - i**3 - i - 5*i**3).\nAnswer: 4792*i**4 + 2396*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393668731?\nAnswer: 393668731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 4*s - 32. Let n(f) = 4*f**2 + 6*f - 28. Let y(d) = 6*n(d) - 5*q(d). Give y(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 - 4) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6 = -2*r, 4*r = -3*k - k. List the prime factors of ((-98)\/(-8))\/(k\/(-600)*5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13562, 12536, 10826, 8432?\nAnswer: 5354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 2*p + 2262. Let r(t) = 5*t. Determine r(k(u)).\nAnswer: 10*u**2 + 10*u + 11310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*x = -7*x + 1, -3 = -3*x. Let r(j) = 2*j - 7. Let y be r(3). Sort h, y, 1 in increasing order.\nAnswer: h, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 - 3*l - 3. Let i = 2 - 4. Let j be o(i). Find the common denominator of j\/2 + (-77)\/4 and -33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9650, 8\/7 in increasing order.\nAnswer: 1, 8\/7, 9650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -434, -361, -302, -263, -250, -269?\n\"Answer: -n**3 - n**2 + 83*n - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300301050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 72, 171, 310, 489?\n\"Answer: 20*y**2 - y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2675080 and 65\/926?\nAnswer: 1238562040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 316*b - 32570. Determine n(103).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 8828201?\nAnswer: 35312804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1001607550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157466527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 361 = 223. Suppose -5*c - y = -541. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 276 + -1186. Let s = -735 - f. Which is bigger: s or 174?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 7*j + 12. Let h be u(-8). Let d(x) = -x**3 + 8*x**2 + x - 11. Let n be d(h). Let o = 68 - n. What is the remainder when 29 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and 15.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296307787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p + 2*d - 0, 4*p - 13 = -d. What is the second derivative of 11 - 11 - 13*x + 10*x**2 - 4*x**p wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 3*h + h)*(-315*h**2 + 697*h**2 + 537*h**2) + 5*h**3 - 3*h**3 - 4*h**3 to b*h**3 + n*h**2 + p*h + g and give b.\nAnswer: -1840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (-4*sqrt(13))**2 + -4 + (-5*sqrt(39)\/sqrt(3))**2.\nAnswer: sqrt(13) + 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*((1 + sqrt(468))**2 + 3) + (-5*sqrt(468)*2*-1)**2).\nAnswer: -47744 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 483\/(-14)*-796 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n - 2. Let q be s(10). What is the tens digit of 2\/6 - q\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -223 (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+24975890\nAnswer: 24975889.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.086762 and 0.292?\nAnswer: 0.025334504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 267\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -104434 (base 8) to base 5\nAnswer: -2110400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -24*g + 2. Let d be r(-2). Is (-2)\/(1\/d*-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)*v**6*v*(v\/v**(-1\/7))\/v*v\/(v**(2\/17)\/v) assuming v is positive.\nAnswer: v**(836\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4179 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -553*z**4\/6 - 1355*z**3\/6 + 3*z + 101. What is the second derivative of s(w) wrt w?\nAnswer: -2212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 21 + 24. Suppose -m = -8*q + 431. Let p be ((-14)\/21)\/(4\/q). Is p greater than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 58*16\/(-96)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h - 234*h = 1485 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -9*o**4\/4 - 2*o**3 - 6*o**2 + 2*o + 12. Let n(y) = 5*y**3 + 3*y**2 + 6*y - 1. Let m(h) = -6*b(h) - 11*n(h). Determine m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 26*n**2 - 13*n + 35. Calculate the remainder when a(25) is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + -3 + 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/9 + 38*x**3\/9 - 2*x**2\/9 - 38*x\/9.\nAnswer: 2*x*(x - 1)*(x + 1)*(x + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1355*u**2 + 167 - 192 + 25 to l + b*u + q*u**2 and give q.\nAnswer: -1355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17602522 and 0.6?\nAnswer: -10561513.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4\/3 - 472*j**3\/3 - 4609*j**2 + 153840*j - 722700 = 0.\nAnswer: -438, -55, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = 5*l - 2*c, 0 = -c - 2 - 1. Let b = l + 131. Solve 0 = 2*z + b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18859 - 39415 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -0.11\nAnswer: -3.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233.441 decades in months?\nAnswer: 268012.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/4)*o*o)\/o*((o**3*o)\/o)\/o*o)**37\/(((o\/(((o*o*o**(1\/3))\/o)\/o))\/(o**(1\/4)*o))\/(((o\/o**(-4))\/o)\/o**(-1\/3))) assuming o is positive.\nAnswer: o**(542\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 24825 = -25065 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {d: 2, v: 1, m: 3, p: 4, b: 1, s: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - k**3 - 3*k**3 + (k**3 + k**3 - k**3)*(-2 + 6 - 7) + 0*k + 0*k - k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 - 2. Let k be i(0). Suppose -w + 0 = -2. Suppose -3*o + w = -o. Sort o, -5, k in decreasing order.\nAnswer: o, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**3 + 11921332*a**2 = 0.\nAnswer: 0, 2980333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1)*u\/u**6)\/((u**(-3)*u)\/u)**(9\/8) assuming u is positive.\nAnswer: u**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 9*q**2 + 12*q + 28. Let n be x(-8). Sort -35, n, -5 in increasing order.\nAnswer: -35, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365839.\nAnswer: 365839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 152151721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from tctixcz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 3*h)*(2*h**4 + 9*h**3 - 9*h**3).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 9*n + 21. Let m be i(-4). Let u be -18*5\/45*(m - 4). Solve -3*c + 5*o + 18 = 3*o, 2*o = -3*c + u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7911 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 4:04 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 20\/(-4))*(-2)\/4. Suppose -17 = -2*g + 2*t + 3*t, 3*g + 5*t = -37. Sort -3, h, g.\nAnswer: g, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 6*i**2 + 5*i + 6. Let x be v(-5). Let w be x\/12*0\/(-2). Solve r - 4*r - 5*s + 31 = w, 2*s = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -3. Let n(t) be the third derivative of -1\/8*t**4 + 0*t + 2\/3*t**3 + 0 - 1\/60*t**5 + 9*t**2. Determine n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -183 + (344 - 173) + (-32 - (-1 - 0)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j = -50*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 + 3*o**3 + 2*o**3 + (2*o - o + o)*(5*o**2 - 12*o**2 + 9*o**2 - 12*o) to the form g + r*o + v*o**3 + u*o**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (40\/50)\/((-2)\/45). Suppose -i*h - 4 = -20*h. Solve 3*o = -4*a, 3*o - 4 = -5*a - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = -3*j. Suppose 4*a - 1 = 7, -m - j*a - 5110 = 0. Round m to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29\/136 - -10\/17. Let k = -384\/5 + 77. Let i(m) = 4*m + 1. Let n be i(1). Which is the second biggest value? (a) n (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3 + 3)*(-1 + 1 + 1)*(6*y + 5*y + 8*y).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 96*z = -849 + 90 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 11?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + 0.24. Let i(o) = -o**2 + 4*o + 40. Let c be i(-5). What is the closest to 2\/5 in c, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2727*w + 2427*w = -7800 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70699.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68611559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 7*l**3 + 0*l**3)*(-4*l + 5*l + 0*l) + (-170*l**3 + 5*l**3 - 176*l**3)*(3 - 3 + l).\nAnswer: -345*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 36. Put 4, -3, o in descending order.\nAnswer: 4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -18*r**2 - 22*r + 28. Let y be k(7). Which is bigger: -1009 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u\/u**(-13))*u*u*u**3*(u**(-5))**(-5\/7) assuming u is positive.\nAnswer: u**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**16\/(y*y**(-8))*(y**11)**30 assuming y is positive.\nAnswer: y**353","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 821963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -65, -144, -223?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2*i + 10 = -0*k, 7*k + 25 = 5*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37340168 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9170 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 7:47 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmgmgggmg. What is prob of picking 2 g and 2 m?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/44)\/(1\/(-8)))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -324 + (-3 - 2*9\/(-6)). Let a = -321 - w. Factor 2\/9*x**5 + 0*x**a + 0*x + 2\/3*x**4 + 0 - 8\/9*x**2.\nAnswer: 2*x**2*(x - 1)*(x + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knzn when four letters picked without replacement from nznkj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5\/4 + 49*x**4\/4 - 89*x**3\/2 - 327*x**2 + 1206*x - 648 = 0 for x.\nAnswer: -18, -6, 2\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 5*a**2 + 3*a + 6. Let n be s(-4). Let c = 1171 + -9331\/8. Find the common denominator of n\/(-4)*(-33)\/(-9) and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 108828\/12168 - (-9)\/(-1) and -65\/4?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19757822 and 712.\nAnswer: 79031288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and 2122.\nAnswer: 5092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011000210120110221 + -12?\nAnswer: 1011000210120110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 15620\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -77. Let p be (-1 + -1)*7\/70. Put p, -3, 3\/2, c in descending order.\nAnswer: 3\/2, c, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3285)\/(-4420) - 5\/20. Let f = 11\/17 - w. Sort 2\/9, 1\/8, f, 0 in increasing order.\nAnswer: 0, 1\/8, f, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j. Suppose -8*h + 4*h + 64 = j. Let g = h - 5. Calculate the smallest common multiple of 1 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2. Let s = -89 - -91. Suppose 4*w + 20 = s*c, 2*c + 0*c = 5*w + 15. Let y(z) = -c*z**2 + 3*z**2 + 5*z**2 - 2*z**2. Calculate y(p(x)).\nAnswer: -224*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6694 - -6694. Let q(a) be the first derivative of c*a**2 - 2 + 12\/5*a**5 + 0*a + 0*a**4 - 1\/3*a**3. Find the third derivative of q(o) wrt o.\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 11*z**2 + 91*z + 805. Let j be r(-10). Let b(q) = 7*q + 28. What is b(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:34 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 3*l**2 - 2*l**2 - 4*l**2. Let m(w) = 11*w**2. Calculate m(n(k)).\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 246, 379, 498, 597, 670?\n\"Answer: -b**3 - b**2 + 143*b + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 8602.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4226587.\nAnswer: 137, 30851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*r - 336. Let f = r + -48. Suppose f = n + k + 3 - 8, -4*n - 5*k + 22 = 0. Solve 4*p + n = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 + 2 = 0. Let b(h) = 41*h - 7. Let v be b(1). Let q = v - w. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 349966 and 7510?\nAnswer: 1749830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 - 39603*p**3*t + 3*p**3*u - 2*p**2*u - 252*p*t*u - 201*t wrt p?\nAnswer: 60*p**2 - 237618*t + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 11*w**3\/6 + 3*w**2 + 19*w. Determine p(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249847 is divided by 249831?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:19 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -2*h**3 - h**2\/2 - h. What is the units digit of r(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -101, -229, -397, -599, -829, -1081?\n\"Answer: w**3 - 29*w**2 - 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from {a: 4, w: 7, z: 5, o: 2}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 < 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17852 (base 9) to base 15\nAnswer: -39de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(56\/343)*132\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/42*(-42)\/(-28)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 11?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(33)\/sqrt(3) + -1.\nAnswer: -3*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opolkl. Give prob of picking 1 p, 1 k, and 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)*1 - -4. Suppose -y*u = -5*v - 105, 0*v = 5*u - 4*v - 109. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93\/19, 2\/45, -2\/69.\nAnswer: -2\/69, 2\/45, 93\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -100*u. Let i(t) = 4201340*t**2. Determine i(f(p)).\nAnswer: 42013400000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11786 < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 15 - 60)*(-2*z + 2 - 2)*(11*z**2 + 7*z**2 - 7*z**2).\nAnswer: 814*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276595?\nAnswer: 5, 11, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217091027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -22722, -15 in decreasing order.\nAnswer: -2\/11, -15, -22722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -356 - -860. Suppose 4*w = -0*w + i. Suppose 4*g - 73 = -1. Calculate the greatest common factor of g and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19171 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4.03. Let m = -0.57 - y. What is m rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 1, m: 1, s: 3, e: 2, n: 1}. Give prob of picking 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14990*o**2 + 14990*o**2 - 6322*o**3 - 2.\nAnswer: -6322*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.1, -4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7057 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {u: 1, a: 1, d: 3, m: 1, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102275900 rounded to the nearest one million?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23161, -46347, -69591, -92893, -116253?\n\"Answer: -29*y**2 - 23099*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {a: 10, k: 3, b: 4, q: 3}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14210 and 26999?\nAnswer: 269990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*l - 24 = 4*l, 0 = 4*h + 4*l. Suppose -6954 - 242 = -h*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 15363\/(-1764) + -7*9\/(-84)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/12 - 5*a**4\/8 - 10*a**3\/3 + 31*a**2\/2 - 41*a. Let k(x) be the first derivative of r(x). Let k(t) = 0. Calculate t.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -24 and -36 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2. Suppose 12*t = 6*t + 36. Let s(v) = -21*v + 21*v - t*v**2 + 5*v**2. What is s(y(j))?\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3380 by 4.\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(416) - sqrt(416))\/(sqrt(16)\/sqrt(8)))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -37 - -4) + -34.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + 0 + sqrt(325) + 3 + sqrt(325) + sqrt(325) - ((-1 + sqrt(325) + sqrt(325))*6 + sqrt(325) + -3))**2 + 1.\nAnswer: -700*sqrt(13) + 32549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*17599.9\nAnswer: -3519.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8913047, 8913046, 8913045, 8913044, 8913043, 8913042?\nAnswer: 8913041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 p when four letters picked without replacement from {r: 5, p: 4, b: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + 2 - 113*p - 1 + 108*p + 10*p**2 to d + i*p + h*p**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:14 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/9, -14\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-45)\/54 - -18)\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(152)\/sqrt(8))*-6*-4.\nAnswer: 96 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -11. Let x be (0 + -3)\/((-3)\/z). Is -2 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -2 - -5) + -3. Suppose p*i - 2*q - 53 = -i, 5*i - 5*q = 240. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204*n**5 + 255*n**2 - 73405*n wrt n?\nAnswer: -4080*n**3 + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n + 5 = 0. Let v be (-33)\/(-22)*(3 + n). Let o = 14 + -12. Solve -o*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8507407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*h + 9 - 8 = 0, 6*h = -5*w + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 472390073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(77))\/(sqrt(448)*-1)*-6.\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-22)\/d*d*d)\/d)**(-18)\/(d**(-8\/3)*d*(((d**6*d)\/d)\/d*d)\/d) assuming d is positive.\nAnswer: d**(1178\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*k + 994*k - 4 = -2*t, 5*t + 2*k = -11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 35829 - 6909. Suppose -5*o - 3*w + 29140 + 7022 = 0, 3*w = -o + q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*l**3 - 17 - 27*l**3 - 4*l**2 - 141*l**3 in the form c*l + m*l**3 + j + h*l**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1834140?\nAnswer: 2, 3, 5, 7, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1535 + -1465. Round j to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147) + sqrt(147) + -2 + sqrt(147) + sqrt(147))**2 + 1 + ((sqrt(180)\/sqrt(96))\/(sqrt(80)\/(1*sqrt(8))))**2.\nAnswer: -112*sqrt(3) + 37715\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 2. Let h(j) = -j**3 - 9*j**2 - 4. Let z be h(-9). Let s be f(z). Solve s*w - 6*w = -16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*l - 16 + 36, 2*l + 14 = 0. Calculate the remainder when 2537 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 76?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7700 and 1400.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*p - 958, -5*s = -p + 550 - 2999. Suppose -2*w - 2*w + 3*h = -s, 514 = 4*w + 2*h. Is 125 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/50 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738*s + 23665 = -1352*s - 146285 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1398*s**2 + 8366*s + 134. Determine n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -11408058 and -34 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {e: 9, a: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 5:41 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*r - 5040 = 15165, -5*n - 3*r = -20221. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -385 + 406. What is the lowest common multiple of 3 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**3*t - 3*d**2*t - 87*d*t - 3*d + t + 27628 with respect to d.\nAnswer: -18*d**2*t - 6*d*t - 87*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 101100100000001100000100 (base 2) to base 10\nAnswer: 11666180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, m: 17}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 319090, -1\/4, -4\/3 in descending order.\nAnswer: 319090, 11, -1\/4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 704799173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 330, 472, 596, 696, 766, 800, 792?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 16*x + 12 = 0, 4*y - 22 = 2*x. Suppose -9*t = -y*t - 12. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 325*c**3 - 330*c**2 + 5*c.\nAnswer: 5*c*(c - 1)*(65*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o - 12 = 0. Let v = o + 24. Suppose r - 1 - v = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2081 divided by 6\nAnswer: -2081\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -3, -5, 18744.\nAnswer: -12, -5, -3, 5, 18744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/7*42\/(-373)*(-88)\/1408. Is 0 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 2. Let n be h(8). Let t(x) = x. Suppose -3 = -o - 1. Let q(v) = v + 1 - v - 6*v. What is n*t(f) + o*q(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*g - 2*g**2 + 89*g - 316*g + 1 - 274*g.\nAnswer: -2*g**2 - 560*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 3*y - 601, 3*q + 456 = 4*y. Let c = 226 + q. Suppose -t + c = -25. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1151, -2285, -3419?\nAnswer: -4553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 5591 - 426 = 0. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3639491 + -5?\nAnswer: -3639496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55644 + -5?\nAnswer: 55638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20)*-3 - sqrt(20))*-1)\/(2*(sqrt(10) + 2*sqrt(10))))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 308228167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 359 - 109. What is the greatest common divisor of 50 and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103141, -103505, -103893, -104311, -104765?\nAnswer: -105261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108908*o + 297 = -108881*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126.5 - 126. Let p = z + -0.3. Which is the nearest to -2\/7? (a) 0.04 (b) -4\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 516, 1669, 3846, 7371, 12568?\nAnswer: 19761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*q = 109*q + 6144. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483 - 917 + h - 5*h.\nAnswer: -4*h - 1400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 2 + 25*d - 64*d - 7*d - 128*d.\nAnswer: -166*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -46*p**2. Let k(u) = -15841*u. Calculate k(f(j)).\nAnswer: 728686*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + -23e6?\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -394 - -395. What is the remainder when 16 is divided by (-7 + (-9)\/(-3) - -5)*c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s - 1 + 1 + 1. List the prime factors of u(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*f - 0*f. Suppose -o + f = 3*o. Let a = o - 6. Solve 0 = -0*u - u + a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**2 + g**2 - 5*g**2 - 8 - g**2 wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**2\/2 - 40*s + 6294. Give o(-11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*i**5 + 3*i**4 + 153918*i**3 - 88805*i**2 - 261 wrt i?\nAnswer: -2940*i**2 + 72*i + 923508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3117 + -40500\/13. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + sqrt(1053)*6 + -1 + sqrt(1053))*-5)**2.\nAnswer: -3600*sqrt(13) + 1684825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*c - 66, 9*c + 107 = 3*f + 14*c. Suppose f*t - 19838 = 3*t. Is t a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 68?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213202 (base 4) to base 10.\nAnswer: 6626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20554884 and 154548.\nAnswer: 20554884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -366.6425 - -7338484.6425. Let y = l - 7338117.93999973. Let c = -0.06 + y. Round c to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 419 = -1194. Let d = a + -873. Suppose 4*t - d = -0*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 5\/4 (b) 0.3 (c) 3\/4028 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-6 + (11 - (2 + 0))) - 7 - -62?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 0*p - 3*p)*(-4 + 6 - 4) - 2121*p + 310 + 1042*p + 1086*p in the form v*p + x and give x.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -9 (b) 2\/3 (c) -3\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*j = 37, -3*v - 4*j = 2*v - 44. Solve -2*h - l - v = 0, -5*h + 3 = -5*l + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3844? (a) -2 (b) -1\/4 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259 + ((6 - -2)\/(-4))\/2.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = -5*f, 4 = 4*f - 3*u + 9. Let m = 433 + -441. What is the biggest value in -3\/5, m, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7216 + 36079\/5. What is the nearest to -2 in -0.3, d, -1\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/11 - 106*m**4\/11 - 1810*m**3\/11 + 120354*m**2\/11 - 234864*m\/11 + 10584 = 0. What is m?\nAnswer: -33, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 5 - 5)*(-733 + 183 + 26 - 159 + 2*w) in the form u*w + f + y*w**2 and give u.\nAnswer: -1366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -648 <= -9061\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 569184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from 56618.757.\nAnswer: 56617.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 190565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 690419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 13*n**3 - 6*n**3 + 7 - 6*n**3 - 2*n + 8*n**2 - 5*n - 3*n**2. Suppose -23*b + 22*b - 7 = 0. Calculate q(b).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.24 (b) 0.2 (c) 0.1 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11190 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -14*b**2 + 1. Let v = -645 + 647. Let y(f) = -846 + 1692 - f**v - 846. What is z(y(s))?\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h - 9*h - 1725 = 29*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + g - 4*g - 2*g - 1 + 1 + g + 0 + 0 + 2*g - 2 + 2 + (5 - 4 - 2)*(-4 - g + 4) + 14 - 218*g - 7 + 230*g.\nAnswer: 13*g + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11987221?\nAnswer: 139, 86239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 58. Suppose -6*f - 2*f + 7736 = z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -2 in descending order.\nAnswer: 10, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzqz when four letters picked without replacement from zzzzzzqzqzzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*c = 41, 0 = 3*b - 1273015*c + 1273013*c - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by ((-42)\/(-3))\/(4\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -273, -394, -497, -576, -625, -638, -609?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*u - 93*u - 92*u + 273*u - 31*u**3.\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-209)\/(-57))\/(22\/4). Sort -0.5, -1\/3, m, 3\/5 in ascending order.\nAnswer: -0.5, -1\/3, 3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0.06, 32, -20 in descending order.\nAnswer: 32, 0.06, -3\/5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n = 9. Solve 2*a = -n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6619527 is divided by 466?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(1\/3))\/l)**(-7\/2)*l\/l**9*l**(2\/13))**(10\/7) assuming l is positive.\nAnswer: l**(-4880\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 254 = 73. Does 44 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2863577ms in minutes?\nAnswer: 0.000021439295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + z + 0)*((2*z**3 + z**3 - 2*z**3)*(0 - 10 - 3) + 2*z**3 + 0*z**3 - z**3).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let j(u) be the third derivative of -u**8\/5040 - u**5\/60 + u**2. Let p(l) be the third derivative of j(l). Give p(i(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + -4. Let v = -0.4 - r. Let j = 1075 + -1075. Sort -0.5, j, -4, v in descending order.\nAnswer: v, j, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12aa7 + 104?\nAnswer: -129a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 - (-6 + 14)) + 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.5. Let i = 0.46 + -0.06. Let w = -2\/33 + 103\/66. What is the nearest to 0 in i, v, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13771\/51 - 270. Which is the smallest value? (a) 5 (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - -18. Let l = -52 + 73. Let o = l - k. Which is the smallest value? (a) -2\/5 (b) o (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18011)\/1995 - -5 - -4 - (-6)\/(-57)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, -14, 18?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -238394297*k**2*x**3 + 192923922*k**2 wrt x.\nAnswer: -715182891*k**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - -6) + 71 + 37?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + 12. Differentiate -v*d**2 + 85*d**2 + 16 - 37*d**2 - 34*d**2 with respect to d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -18 - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-156)\/(-10))\/(45\/(-1050))*-16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 9 = 3*f, -30*f + 15 = -2*x - 35*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 - 7372469*k - 54353299155961 = 0. Calculate k.\nAnswer: -14744938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/4 + 13*w**3\/4 - 5*w**2\/2 - 6*w.\nAnswer: -w*(w - 12)*(w - 2)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 + 8*w - 7. What is the units digit of i(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1111\/(-1)*(-3)\/6*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (60 - 70) + 8 + (1 - 3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/20 + -3)\/((-27)\/24).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/36*-7)\/(15\/90).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(350))\/(sqrt(21)\/(sqrt(6)\/sqrt(2))).\nAnswer: -2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134030484 to the power of 1\/2, to the nearest integer?\nAnswer: 46196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 95*t.\nAnswer: -5*t*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 3. What is l(-9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 159 - 59 + 10*z + 3*z**2 - 2*z**2 + 8*z.\nAnswer: z**2 + 18*z - 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 + 4*o**2 + 6*o**2 + o**3 - 2*o**3 + 15*o - 6*o**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 7 (c) -2 (d) -2\/7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1715533951 - 92630431889\/54. Let s = t + -155589. Let a = -23\/27 + s. What is the common denominator of a and -77\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1424, -1456, -1486, -1514, -1540?\nAnswer: -1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3672 + 3?\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8057537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190*d + 10 + 190*d + 10*d**4 with respect to d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o - 6*o + o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 - -258. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a52 + -3?\nAnswer: 1a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4)\/4 - ((9 - 5) + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*l - 3*l. What is the highest common factor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(324)*2 + sqrt(324)))\/(sqrt(36)\/(sqrt(15)\/sqrt(5)) + -6*(sqrt(12) - (sqrt(12) + 2*sqrt(12)))).\nAnswer: 45*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4405 divided by 4\nAnswer: -4405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 5. Let j(l) = 7*l - 11. Let c(k) = 9*h(k) - 4*j(k). Suppose -155 = 5*t - 160. What is c(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006258894 rounded to four decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -30, -14, 22, 84, 178, 310, 486?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 73*i - 109*i + 66*i - 124 + 34*i. Give f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d4c4 - 5?\nAnswer: -1d4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o - 30, 52980*k - 4*o = 52978*k + 24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -1361360?\nAnswer: 1361360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2135\/(-134505))\/(2\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 8*o**2 - 7*o - 5. Let m(u) = -2*u**2 + 9*u + 11. Let f be 2 - ((-4)\/(-1) + -7). Let a be m(f). What is the units digit of z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/3890556 and 91\/6432?\nAnswer: 31124448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -36. Sort -4, 1, r.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -455*k + 455*k - 40*k**2 to the form x*k + g + j*k**2 and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Solve -5 - 4 + a*g**2 - 2 - 16*g + 23 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/((-2)\/6). Let c = -1498\/807 + 970271\/621390. Let q = c - -1\/110. Sort 5, h, q in descending order.\nAnswer: 5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*f = -0*r - 68, -2*f - 70 = 4*r. Let i = r - -57. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013766939599 to seven decimal places.\nAnswer: 0.0013767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) + 32\/80. Let b be (7\/(-2) + 3)*a. Solve -y = -b*y + 4*g + 2, 4*g - 2 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmj when three letters picked without replacement from {m: 2, j: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q - 304 + 185 - 844 = 337 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -1, -21 in descending order.\nAnswer: 2, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/12 - 5*x**2. Let f(n) = 4*n. Give f(k(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 5. Suppose -d + 5 = 0, 5*d - 33 = -y - 6. Let z be q(y). Sort z, -19, 1 in decreasing order.\nAnswer: 1, z, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/24 - 5*q**3\/3 - 3*q**2. Suppose 5*s = 155 - 45. Let x = s - 17. Calculate p(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151523 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.5, -0.3, 18\/11, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 + l**3 - 6*l + 2*l + 8*l + 14*l.\nAnswer: -4*l**3 + 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**25*(a**(-5)\/a)**(5\/4) assuming a is positive.\nAnswer: a**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from nnyyynnynyyny.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-40)\/(-12))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -20, 46, 142, 268, 424?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -64. Let k = n - -21. Let p = k + 0. Solve -l + 14 = 3*q - 6, l + 2*q - 15 = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54253845 divided by -3\nAnswer: -18084615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 512828249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxxxxxbxxxx. What is prob of picking 1 b and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2337 (b) 2\/9 (c) 4 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 7, e: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8) - 54\/(-8). Let p be ((-2)\/n)\/(1\/(-471)). Let w = p + -78. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24 - (-8125)\/(-300) - -3. Which is the smallest value? (a) v (b) -2037 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by -30\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16641221 (base 8) in base 16?\nAnswer: 3b4291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (0 + (-6 - -4 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -28) + (-2 - (-1 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3*(-4)\/6 - (-1 - 224)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1 = -8. Let x be ((-2)\/(-2))\/(1 - b\/4). Suppose -3*d = 5*t - 22, -d + 9 = -2*t + x*t. Solve t*l - 12 = 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 12*g = -2*o + 14, -4*g - 2*o = -20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 13 = 5*c. Let n(a) = -7*a**2 + 19*a + 41. Let s(o) = -10*o**2 + 28*o + 60. Let w(t) = 7*n(t) - 5*s(t). Give w(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92007883\/30744 + -182325\/61. Let z = 2767719\/56 - 49425. Let c = z - d. What is the common denominator of 89\/6 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -15*f. Suppose t - a = 8, -a - 17 = -4*t - f*a. Let r(w) = -w**2 + 7*w + 1. What is r(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.24, 26, 44, -0.04?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432 divided by -56?\nAnswer: 304\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129084797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f**2 + 2*f**4 + 76*f - 216*f + 141*f + 4 - 52 - 24 to o + s*f + b*f**2 + x*f**4 + w*f**3 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2372078*y. Let g(h) = 2*h. Give x(g(m)).\nAnswer: 4744156*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.3 + -10. Let u = r - -0.78. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101752.9 to the nearest 100.\nAnswer: -101800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 507 + 86555?\nAnswer: 87163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(637) + 5 + (sqrt(637) - -2*sqrt(637))*3 + (-4 + -3 + (sqrt(637) - (sqrt(637) + sqrt(637)*-2 - sqrt(637)) - sqrt(637)) + -3)**2 + -1.\nAnswer: -189*sqrt(13) + 2652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264600769 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 119, 233, 383, 563?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(448) + (sqrt(448) + 0 + 3)**2 + 1).\nAnswer: -2285 - 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3032213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -5, 0.0927, 0, -6, -1 in ascending order.\nAnswer: -6, -5, -1, 0, 1\/12, 0.0927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p + 4. Let u(g) = 15*g - 34*g + 17*g. What is u(z(w))?\nAnswer: -10*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(66\/(-11)))\/((-93)\/(-6)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 10*v - 544. Determine r(29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 9:13 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-25)\/(-10500))\/((-28)\/126)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 11. Let l(v) = 27*v**2 + v. Let o be l(1). Calculate the greatest common factor of h and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1*5 + -4*sqrt(152)*-2)\/(-5*(sqrt(8) - (sqrt(8)*-1 - sqrt(8))*-1 - -1*-2*sqrt(8))))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*p + 609 + 3460 = -5*p + 215 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.6, 1, 0.03, -39.1, -15, 5?\nAnswer: -39.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 + 10533*f\/7 - 31572\/7.\nAnswer: -3*(f - 3508)*(f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + sqrt(104)\/(sqrt(4)*2))\/(sqrt(150)\/sqrt(3)) - ((sqrt(13)*-1*-2)**2 + 1*sqrt(1872))*-2)*-6.\nAnswer: -624 - 729*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24782 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*x**5\/5 + 518*x**4\/5 + 5899334*x**3\/5 + 3932482*x**2\/5 - 1966328*x\/5 = 0. What is x?\nAnswer: -949, -1, 0, 1\/3, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*y + 2 + 4 = 0, -2*k = -4*y + 12. Let u be k\/5 - 369\/(-15). Let j = 28 - u. Calculate the remainder when 3 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7433*m - 248320 = -5493*m for m.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5630 in 32, -771, -2\/7?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -584*h - 43255. Determine y(-74).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbb when three letters picked without replacement from {d: 7, b: 2, r: 2, l: 1, o: 6}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 + 5 = 2*f. Let c be (-2)\/8 - (-34)\/8. Put 7, c, f, -0.4 in descending order.\nAnswer: 7, f, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.4, -10, 3, 229\/2 in ascending order.\nAnswer: -10, -5.4, 3, 229\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 255*s**2*u + 4*s**2 + 1306199*s - 18037*u + 2 wrt u?\nAnswer: 255*s**2 - 18037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 16*z**2 + 5*z + 3. Let q(g) = g + 1. Let x be q(14). Suppose 6*o - o + x = 0. Does 11 divide c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 729220059?\nAnswer: -729220061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359116 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 37*a. Suppose -2*v + 11 = -17. Let t be (-121)\/(-77) + 6\/v. Let k(i) = 2*i - 4*i - t*i + 2*i. Calculate k(z(o)).\nAnswer: -74*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9549496?\nAnswer: 2, 11, 108517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -28\/159?\nAnswer: -28\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 27 + -24 - 45*-14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*y + 82*y + 859 = 123 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - x**2 - 4*x**2)*(-4 + 5 + 0) + 0*x - x**2 + 0*x + 7*x**2 - 485*x + 485*x + (4*x - 3*x + x)*(-3*x + 6*x - 4*x) + 2*x - 2*x + x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0065 + -0.0065. Which is the biggest value? (a) y (b) -2\/57 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2592.1555 - 0.1555. Let d = n - 2592.000002402. What is d rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1 + 4 - 4*(sqrt(99) + 0 + sqrt(99)))**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 14*o**2 - 9*o - 16. Let t be n(-12). Suppose 5*g + s - 628 = 0, t = 5*g - 4*s - 258. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10556\/3 - 3559. Let l = -835\/21 - g. What is the smallest value in l, 2, -3\/5, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*-1 + sqrt(1331))*-6 + 3 + sqrt(1331) + -1)**2.\nAnswer: 44*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2577 - 2572. Let t = -1 + 0.7. Which is the closest to -0.2? (a) 1 (b) -0.4 (c) y (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose 0 = r*s - a - 4, 5*a + 3 = 5*s - 7. Factor 0 - 2\/5*c**3 + 0*c**s + 2\/5*c.\nAnswer: -2*c*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 9*i**3 + 0*i**2)*(343*i - 341*i + 386*i).\nAnswer: 3492*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8. Suppose b = -o*b + 234. Let j = b + -59. Are j and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1164\/(-33) - ((-41625)\/1375 - (-42 - -12)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74*v**4 - 114*v + 68686?\nAnswer: -296*v**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 488567821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -0.083\nAnswer: 2.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.1819l in millilitres?\nAnswer: 232181.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(49)\/(sqrt(63)\/sqrt(9)) + sqrt(49)\/(sqrt(7) + (sqrt(7)*4 - sqrt(7))) - ((sqrt(252) - sqrt(252)*1) + sqrt(112)*2)).\nAnswer: -27*sqrt(7)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/256 and 23\/22?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 18*z**2 - 87. Is c(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvhvvhhhhvvhhhhhhh. What is prob of picking 2 h?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233982131 to the nearest integer?\nAnswer: 15296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(0 + 0 - (-138080)\/(-64) - 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhu when three letters picked without replacement from {j: 1, h: 2, i: 2, m: 2, n: 1, u: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -665?\nAnswer: -1\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.1. Let v = 13 - 13. What is the nearest to g in 1\/3, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vppy when four letters picked without replacement from {s: 5, q: 1, y: 3, v: 4, l: 1, p: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-88) + 369\/328?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + q - 16. Let h be y(0). Let s be (1\/(-6))\/(2\/h). What is the nearest to -1 in 10, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(242)*4 - 6*2*sqrt(242) - ((-1 + sqrt(242) + sqrt(242)*-1)**2 + -4*(sqrt(242) - sqrt(242)*-1)).\nAnswer: -88*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33087 - -99263\/3. Factor 13\/3*m**2 + s + 11\/3*m + 4\/3*m**3.\nAnswer: (m + 1)*(m + 2)*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b = -60*b. Let z(v) = 11*v + 679. Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((78\/(-325))\/((-3)\/(-10)))\/(12\/150)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102120 - -41422?\nAnswer: -10143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 4. Let r be 93\/33 + (-2)\/(-11). Let c(s) = s - 3. Calculate r*w(v) + 4*c(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 12897372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-378)\/(-105))*-5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 15) + 29 - 178874\/4471?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**8\/10080 - l**7\/1008 - l**6\/720 + l**5\/20 + l**2. Let g(i) be the third derivative of m(i). Determine g(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176*c**4 + 237*c**4 - 521*c**4 - 358*c**4)*(-3 + 1 + 1) - 5*c**2 + 5*c**2 + 6*c**4.\nAnswer: 824*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6402 is divided by 492.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11235800 and 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6503?\nAnswer: 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 140\/30 - (-4)\/(-6). Let i(z) be the third derivative of 0 + 0*z - 1\/24*z**b - 1\/6*z**3 + 3*z**2 - 1\/240*z**5. Factor i(m).\nAnswer: -(m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 15. Suppose a = g - 114 - 222, h*g + 5*a - 1720 = 0. What are the prime factors of g\/12 - (-4)\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1383, 1376, 1367, 1356?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 960 divided by 20\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8554547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -116. Solve 1 + 3 = s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -399873450838 and 0.3.\nAnswer: -399873450837.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 15*h**2 - 15*h - 79. Give f(13).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -77 + 54 - v**2 - 4*v + 33. Give z(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000648 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + -0.4. Let m = -21 + 20.7. Let s = 0 + m. What is the third smallest value in p, s, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-20)*18\/180*5*2\/9.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 6*h - 8. Let q be d(7). Let z = 97\/4 + -24. Is q >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509233831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-21) - (111\/(-7) - -16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 60, 158, 280, 420, 572, 730, 888?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-4))\/(-3)*18\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -346, -1295, -2878, -5095, -7946, -11431, -15550?\n\"Answer: -317*n**2 + 2*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4824.31 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 10. Let n(i) = 0 + 4*i + 3 - 15. Calculate the remainder when n(t) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144115 - -0.2\nAnswer: -144114.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38662018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h + 25*h + 348. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 34. Let u = -2203.3 - -2203. What is the third smallest value in u, p, -6\/29?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/245 - (-39)\/7. Solve 0 = -y*i - u, 5*u - u = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9573762 less than -0.0678?\nAnswer: 9573761.9322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -363646 - -1902.5\nAnswer: -361743.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/18)\/((-1)\/(-9)). Sort z, -4, -2 in decreasing order.\nAnswer: -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -5406, -4 in descending order.\nAnswer: 13, -4, -5, -5406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -3*x**4\/4 + 15*x**2\/2 - 2*x. What is the derivative of c(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/3)\/((-4575)\/610)*54\/(-4)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*o + 237*o - 1333 = 147*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 25. Let d = 10 + -4. Calculate the least common multiple of d and x(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 + -632686.51332.\nAnswer: -632686.67332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -6. Let b(k) = -15 + 5*k + k - k - 4*k. Calculate b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.16 and -1387386559.\nAnswer: -1387386558.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*k + 16967 - 8494 - 8471.\nAnswer: -53*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17938357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 + 15*i**3 + 1\/2*i**2 - 2*i. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*z - 56 = 124*z - 5*i, -52 = 5*z - 4*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/10)\/((-1400)\/24))\/((-2)\/(-7))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*s - 17*s - 8*s**4 + 6*s wrt s?\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.9 (b) -5 (c) -44 (d) 6.3 (e) -1\/5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -339, -340, -341, -342?\n\"Answer: -v - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (((-980)\/(-42))\/(-7))\/((-2)\/18) and 114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25116813 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-7))\/(5\/((-350)\/20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 4, q: 5}. Give prob of picking 1 q, 1 d, and 1 a.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*y - 396 = -140*y - 35 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from jmjjbjbbjjjffjmjf.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70104.\nAnswer: 2, 3, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -573*q**2*w**5 + 2*q**2*w**4 - 7*q**2*w**2 - 22*q**2 wrt w.\nAnswer: -34380*q**2*w**2 + 48*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (-3*((2*sqrt(192) - sqrt(192)) + -4)*3)**2 + -5.\nAnswer: -5184*sqrt(3) + 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxzzzx. What is prob of picking 2 x?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a + 6209?\nAnswer: 6247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f*f**3*f*f*f)\/f)))\/f)**(8\/11)\/(f*f\/(f*f**0*f)*f*f**2) assuming f is positive.\nAnswer: f**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 16*v + 30. Let f be z(-14). Solve -3*x = f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:54 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*s - 48, -j - 2*s + 50 - 38 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 701 - -2339?\nAnswer: 2a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Suppose -4*u + 10 + 6 = 2*g, 2*u - 2*g - 20 = 0. Suppose 40 = 4*w + 4. Suppose u*p = 3*p + w. Determine a(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (11 - (8 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 243\/8 - (-420)\/(-1120). Let m be (-488)\/(-12) - 4*4\/24. What is the greatest common factor of m and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 + 3*u - 7. Let k be c(3). Let t = -20 + k. Suppose -3*s + t*b - 3 = -3*b, 2*s + 4 = 3*b. What is the greatest common factor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - -5. Solve -q*z = -25*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 1 = 7*l. Let d be (-88)\/(-33)*l\/(-4). Suppose -v + d*a = -19, a + 25 = v + 2. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*x = 0, 2*x - 6 - 4 = 0. Let m(s) = -12*s**2 - 5. Let d(y) = 228*y**2 + 96. Let k(g) = o*d(g) - 96*m(g). Let w(f) = -f**2. What is k(w(r))?\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7751.\nAnswer: 5\/7751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1260*m + 734*m**2 + 1\/3*m**4 - 2025 - 92\/3*m**3.\nAnswer: (m - 45)**2*(m - 3)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4291 - 4345. What is the smallest value in -2, 0, 3\/4, -1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 17, q: 2}. Give prob of sequence gggg.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -2\/19, -203, -2\/15, -1\/6, 0.08?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2028\/(-10))\/(17\/(-85)) - 2.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 139 = 579. Solve 0 = -22*x - r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25\/2*l + 5\/2*l**3 + 14 - 1\/4*l**4 - 15\/4*l**2 = 0. Calculate l.\nAnswer: -2, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2182985*l**2 - 540186*l**2 - 187932*l**2.\nAnswer: -2911103*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13361 + 19230. List the prime factors of f.\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10044992*x**5 + 1466*x**2 - 17*x - 26?\nAnswer: 602699520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 + 8)*((-6 + 6 - 4*p**3)*(-1 - 4 + 2) - 4*p - p**3 + 4*p) - 3*p**2 + 3*p**2 - 2*p**3.\nAnswer: 163*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-99) + (-6)\/33 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*d = 8260, 0 = 3*v + 37*d - 42*d - 4996. Suppose -8 = -3*h - h. What is the second derivative of -17*m + 1657 - v - 13*m**h wrt m?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from cchscctsmcccccccssm.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/100)\/(1456\/650).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 3. Let r(n) = n**2 - n - 1. Let g(m) = m + 2. Let y be g(-3). Give y*p(i) - 3*r(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(10\/3)\/(g**(2\/15)\/g) assuming g is positive.\nAnswer: g**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21738656.\nAnswer: 2, 679333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 31 = 3*b, 2*b + b + 1 = 4*i. What is the lowest common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 4*z**2 - 2*z - 5. Let r be p(5). Suppose -2*m + 5*i + 5 = 6*i, 2*m + 5 = -3*i. Suppose m*b - 2*l = 31 - 6, -2*b + 3*l = -r. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0136377058 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 13.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0315237 to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -43*s - 39. Let g = -21 - -27. Suppose -g*d = -3*d + 9. Is k(d) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -19*d**7\/840 - 41*d**4\/24 - 13*d**3\/3 + 32. Let i(r) be the third derivative of v(r). What is the derivative of i(l) wrt l?\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 5 - -9) + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.506ug in grams?\nAnswer: 0.000405506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -367*a + 352*a + 89115. What are the prime factors of a?\nAnswer: 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**4 + 69*s**2 + 46*s + 26522 with respect to s.\nAnswer: 12*s**3 + 138*s + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24405, -24130, -23855?\n\"Answer: 275*q - 24680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1821 or -1834?\nAnswer: -1834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(7)*1 - (sqrt(252) + 1) - ((sqrt(77) - (sqrt(77)*-2*-2 - sqrt(77)))\/(sqrt(704) - (sqrt(704)*-2 + sqrt(704) + sqrt(704))))**2.\nAnswer: -3*sqrt(7) - 23\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1, -5, 0.2491, 1\/17?\nAnswer: 0.2491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 543.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 3 - 3 + ((-1 + 1 + 2*m)*(m - 2*m + 0*m) - 2*m**2 - 32 + 32)*(4*m - 4*m - 3*m**2).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*c = -5*c - 12. Let m(n) = n**3 - 2*n + 3. Calculate m(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 12. Let z(j) = 153*j - 1020. Let n(b) = 255*p(b) + 3*z(b). Let q(f) = -3*f. Give n(q(h)).\nAnswer: -612*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -13 - -10) + 0 + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6280 and 193564.\nAnswer: 199844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -0.02809327968039?\nAnswer: -4.02809327968039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2)\/(3\/13716*3). Let d be (1\/((-6)\/c))\/(-1). Let m = 358 - d. Is m a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -29, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 8469.\nAnswer: 10\/8469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 180*z**3 - 3\/2*z**5 - 47\/4*z**4 - 218*z + 1944*z**2 + 0 + 1\/10*z**6. Factor c(s).\nAnswer: 3*(s - 9)**2*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 639, 2050, 4367, 7596, 11743, 16814?\nAnswer: 22815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 21*z**2 + 18*z - 41. Let y be j(-20). Let x(b) = -12*b**2 + b + 1. What is x(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-4)\/(-8)*-2. Let o(t) = -t**3 - 16*t**2 - 16*t - 8. Let u be o(-15). Suppose -2*p = p + 2*h - 7, -4*p = 5*h - u. Solve 0*r = -j*r + p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8. Let g be a(0). Solve -b - 8*p = -4*p - 20, -5*p = -3*b - g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*t + 6. Suppose t*i = 2*j + 9, i - 7 = -0*j + 3*j. Solve -x - 4*c = -4*x - 3, i = -x - 2*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y, r - 1 = y + 4. Suppose -c - 3*v - 17 = 0, -8*c - 2*v - 13 = -9*c. Calculate the least common multiple of r and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033742454 to six dps.\nAnswer: 0.000337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + t = 14, m + 16 = -2*m + 5*t. Let p be (156\/26 - (-1 - -4))\/((-2)\/(-6)). Solve -j = m*o + p, 25 = -5*o - 2*j - 3*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 4*f - 9*f. Is 36 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6*30\/4. Suppose 5*b = -0 - j, k - 2 = -3*b. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-822 - 1019 + 15)*(-2*y - 1 + 1) to the form w*y + q and give w.\nAnswer: 3652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/6)\/((-35)\/(-150)). Solve -p = -8*h + 13*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 14*x = 13. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 1 + 0 = -4161*m + 4157*m - 1, 4*m = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 11*d**2 + 0*d - 7*d - d**3 + 9. Let i be n(-10). Suppose -3*q + 43 = 3*b - 2*q, 3*b - 39 = 3*q. Solve 3*g + 0*m = m - i, -2*g - 2*m = b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 6, 0, 1\/132?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -46. Let k(v) be the second derivative of -v**4\/6 + v**3\/6 + v**2\/2 - 2*v + 678. Calculate k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + 12429146?\nAnswer: 12429233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 f when four letters picked without replacement from wwffffffff.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f5 + 0?\nAnswer: -f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, 383, 389, 413, 461, 539, 653, 809?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39152 = 1523*t + 23966 + 5417 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 695, 701, 709, 719, 731, 745?\n\"Answer: f**2 + 3*f + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(30)\/(sqrt(6) - sqrt(96)))**2 - (1 + sqrt(80)*-6).\nAnswer: 7\/3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/20 - 7*b**4\/12 + 3*b**3\/2 - 9*b**2\/2 - 2*b. Let j be (16\/4)\/(-4) - -4. Let n be j + -1*(0 - 3). Give c(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 3. Let w(n) = 10*n + 5. Let x = 381 + -378. Calculate x*w(g) + 5*f(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -4.0395?\nAnswer: 1.0395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 905 + -905. Factor 0 + 0*k**2 + 1\/2*k**5 + 1\/2*k - k**3 + r*k**4.\nAnswer: k*(k - 1)**2*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -1423.\nAnswer: -9961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 3*p**2 + 2*p + 1. Let i be d(-2). Let c(q) = i - 6*q - 3*q + 2*q. What is the units digit of c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 18. Let c(m) = -5*m - 18. Let a(g) = 5*c(g) - 6*d(g). Calculate the remainder when 29 is divided by a(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + g + 0)*(0 + 5 - 3) - g + 1 - 1 - 3*g + 3*g + 6*g + (-2 + 2 + 1)*(-56*g + 4*g - 3*g + (1 + 0 - 3)*(-g - 2 + 2)) in the form u*g + o and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 530 = b. Let k = -62 - b. Let v = k + 145. Calculate the highest common factor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1902 and -33\/7696.\nAnswer: 7318896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -355 smaller than -354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 108, 124?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4416\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*v**3 + 10635 + 10677 - 31974 + 10662.\nAnswer: 153*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 - -147. Calculate the remainder when 51 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -5. Let b = j - -2.4. Let q = -13 - -11. Put 5, q, b in descending order.\nAnswer: 5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*m - 26*m - 298*m as q + p*m and give p.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/4032*-16)\/((-12)\/9)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:38 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and -16685734.\nAnswer: -16685734.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9647, -9631, -9603, -9557, -9487, -9387, -9251, -9073?\nAnswer: -8847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 20*k**3 + 28*k**2 + 40*k. Let z(p) = -44*p**3 - 56*p**2 - 80*p. Let v(i) = 9*r(i) + 4*z(i). Find y such that v(y) = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jywwrrrwwrjybyrwrjbr. Give prob of sequence rb.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -49*f. Let l(t) = 4*t. Calculate o(l(y)).\nAnswer: -196*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b + 35*b = 278. Is -279 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 3*o + 0*o + (-1 + 3 - 4)*(-2*o + 4*o + 0*o) - o + o - 2*o + 93*o + 97*o - 129*o + (-4 + 5 + 2)*(6 - 6 + 7*o).\nAnswer: 77*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(3123\/446 - 7). Suppose -m = -5*u + q + 303, -4*u - 4*m = -932. What is the smallest common multiple of 22 and u?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 631991240 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y + 5. Let r(u) be the first derivative of 4*u**3\/3 - 2*u**2 + 7*u + 267. Is r(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - 0.13. Let y = 1\/18 + 67\/90. Which is the third smallest value? (a) 1\/3 (b) -0.7 (c) q (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 5:29 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/4 - 5*y**3\/3 - 3*y**2\/2 + 9*y - 4. Factor w(h).\nAnswer: -(h - 1)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 14. Suppose m - 7 = 17. Let k = m + l. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 923 + -448. What is the lowest common multiple of 2 and u?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 23. Suppose -y*t + 24 = 3*u, 2*u = -3*t - 2*u + 27. Solve -4 = -t*j + 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*j - 2)*(287 + 156 - 277)*(2 - 3 - 1) + 2*j - 2 + 2 as k + a*j and give a.\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 29. Let l(p) = 3*p**3 - 12*p**2 + 2*p + 4. Let q be l(4). What is the greatest common divisor of x and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 50*w**2 + 70*w + 35. Let l(k) = -3*k**2 - 4*k - 2. Let f(h) = -70*l(h) - 4*n(h). Let m(g) = -18*g**2. Calculate m(f(z)).\nAnswer: -1800*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -542619 divided by 87?\nAnswer: -6237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, r: 1, u: 4}. What is prob of picking 3 y and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 60?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294686210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -3*v**8\/112 + 7*v**5\/30 + 11*v**2. What is the third derivative of d(w) wrt w?\nAnswer: -540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 854 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -5) + 3 + (-94)\/(-16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24416 (base 12) to base 11\nAnswer: 33886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(198\/21)*(-480)\/(-560). Which is the third biggest value? (a) -0.8 (b) 1 (c) 0.4 (d) -0.5 (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*b + 171*b = 3*v - 22, v - 2 = b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 9 - 5 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251665025*g + 196892038.\nAnswer: -251665025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 10) to base 5\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -286\nAnswer: -17\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.4, 2, 80598\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 - 4.2. Put g, 0.2, -4 in ascending order.\nAnswer: -4, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23778423.\nAnswer: 3, 151, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l**3 + 6*l**2 + 10*l + 10. Let q(b) = 37684*b**2 + 0*b - 37680*b**2 + 0*b + 7 + b + 8*b**3 + 6*b. Determine 7*q(z) - 5*w(z).\nAnswer: -4*z**3 - 2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 8*b**2 + 14*b - 2. Determine g(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*m - 10. What is the third derivative of 0*l**6 + 0*l**2 - 3*l**2 + 3*l**m wrt l?\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 39*c - 798. Determine b(20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/8)\/((-3)\/(-2)). Let b(w) = 23*w**3 + 3*w**2 - 3*w + 1. Does 13 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217866309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 13*a**2 + 3*a - 36. Let b be f(13). Suppose -10 = -h - b*t, 3*h + 3*t - 9 = t. What is the hundreds digit of (3\/h)\/1 + 1215\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k + 0*k)*(0*k**3 + 2*k**3 - 4*k**3 - 3*k).\nAnswer: -4*k**4 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**4\/4 - 20*h**3\/3 - 47*h**2\/2 + 66*h + 453. Find c, given that y(c) = 0.\nAnswer: -3, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 32?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -299 - -304. Sort 0, q, -0.3, -3 in ascending order.\nAnswer: -3, -0.3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*h = 108207, y + 5*h - 23389 - 3634 = 0. List the prime factors of y.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 29. Suppose 3*c + v = c + 11, -4*c + z = -v. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/9)\/(1\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 459246478 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-5*-5 + -1)**2.\nAnswer: -50*sqrt(3) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10236*i**4 + 3*i**3 - 6*i + 3*i**2 + 26*i - 10238*i**4 as v*i**4 + w + k*i + a*i**3 + g*i**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 720 + -9?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 16*f - 12. Let y(x) = 17*x + 17. Suppose 35*k + 28 = 21*k. Let i be y(k). Determine q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554842126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -1, -8, -1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 644140 divided by -32207\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/2*8\/(-6). Let w = h + 38. Let z(l) = -2*l + 60. Let k be z(-14). Calculate the highest common divisor of w and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*q - 5. Is 1*2\/(q\/4895) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 8*g**2 - 7*g - 2. Let y be h(7). Let o = y - 3. What is the smallest value in o, -4, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - k**3 - k**2 + 4365*k**3 - 22138284*k + 22138284*k + (k - k - 2*k**3)*(-2 + 4 + 0) in the form y*k + r*k**2 + l*k**3 + q and give l.\nAnswer: 4360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + 2*r + 9*r)*(-r + 4*r - 2*r) - 4*r + 4*r - 4*r**2 - 1 + r - 1 + 0 - r**2 in the form c*r**2 + a + q*r and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose b + 4*b = t. Solve 2*c - 2 = -2*p, b = -5*p - c + 5*c + 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*p - 34*p = -88*p + 2030 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 12139 + a + 0*a + 5616 - 5935 in the form o*a + q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112646 and 2065680.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(3*sqrt(11)*3).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*n - n + i, -3*n - i + 3 = 0. Let k be (5 + n)*(3 + 4). Let m be ((-12)\/(-5))\/(7\/k). Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -7*w + 36. Let k(x) = -x**3 + 7*x**2 + 5*x + 7. What are the prime factors of k(w)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 12*m + 48. Suppose 543 = -6*a - 555. Let h be (a\/(-4))\/(-3) - (-3)\/12. Let l be p(h). Solve -2*q + l = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2133 divide 3165407354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v**2 - 15*v - 14*v**2 + 391*v + 25*v**2 to w + c*v**2 + b*v and give b.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 202 = -137. Suppose -251*y + 5492 - 1322 = -3862. What is the remainder when z is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 6 - 1 - 17*u**3 - 4 + 2*u**2 to l + z*u + x*u**2 + w*u**3 and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2328 divided by -2.\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-6)*8\/20. Put -4, -1, g in descending order.\nAnswer: g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25113, -25365, -25615, -25863, -26109?\nAnswer: -26353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 1. Let a = 6 - 11. Sort 3, b, a in descending order.\nAnswer: 3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87445.11 microseconds in nanoseconds?\nAnswer: 87445110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.4. Let w = 1.06 - -2.94. Which is the nearest to 2\/5? (a) w (b) -1\/8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:15 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/26 - 55\/78. Let l be 4\/10 - (-24)\/(-110). Is a not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -74, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84, -165, -244, -321?\n\"Answer: a**2 - 84*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**2\/2 + 6*s + 3. Let b be a(-3). Let d(m) = -3*m**2 - 7*m. Let p(f) = -2*f**2 - 4*f. Give b*d(t) - 5*p(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/32 and (2 - 2) + 37\/(-4) + 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100\/(-100) - (-114)\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28475, -28102, -27729?\n\"Answer: 373*g - 28848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 0.02, 4190?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*x = -2, -x - 13 = 5*m + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 3*o**4\/28 - 19*o**3\/14 - 18*o**2 + o + 2226. Suppose y(j) = 0. Calculate j.\nAnswer: -3, 28\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.292139 decades to years.\nAnswer: 32.92139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16*110\nAnswer: -1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Suppose 20*w = 18*w + 10. Suppose -35 = w*o + 4*c - 192, 31 = o + c. Let i(k) = -33*k - 17*k**2 + o*k. Calculate i(y(t)).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 112 + f**2 - 111 + 2*f**2 - f**4 in the form k*f**3 + z*f**4 + x*f + j + d*f**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/(68\/51) - 12\/60.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22615078?\nAnswer: 2, 89, 127051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4, -4*a = -l - 3 - 3. Are -4 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**2 - 555*a + 138. What is the remainder when u(71) is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -37. Let d be ((-64)\/(-20) - x) + 1. Factor -1\/5*n - 1\/5*n**2 + 1\/5 + d*n**3.\nAnswer: (n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 10*a**3 - 75*a**2.\nAnswer: 5*a**2*(a - 3)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v + 113 - 194 = 144 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*x + 352 + 133, -147 = -i - 2*x. Solve 32*p + 27 - i = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 2*u**3 - 2*u**3)*((-39 + 248 - 104)*(-1 - 2 + 2) - 1 + 1 - 3).\nAnswer: 216*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/11 and -7\/47631.\nAnswer: 523941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/9)\/(9\/57483) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(8\/13)*o)\/(o*o**38*o))\/(o*(o*o**27)\/o*o\/(o*o**4)*o) assuming o is positive.\nAnswer: o**(-824\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 479 or 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1020 or -1?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/25 and -29\/7149985.\nAnswer: 35749925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 4*f**2 - 2*f**2 + ((-3 - 1 + 6)*(-3*f + 2*f + 0*f) + (-f - 4*f + 0*f)*(2 - 1 - 3))*(-f + f - f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20160360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Suppose -4*k = -u - 13, -k - 3*u - 8 = 5. Which is the nearest to -0.2? (a) k (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19018*b**4 + 6*b**2*n - 16*b*n + 3275*n + 7 wrt b?\nAnswer: 228216*b**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0 + 1\/2*y**4 + 0*y**2 + 67\/2*y**3 + 0*y = 0.\nAnswer: -67, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-190))\/(-17*(-18)\/(-1530))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338 a factor of 104109922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -938 - -1163. What is the highest common divisor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -182247, -181937, -181627, -181317, -181007, -180697?\n\"Answer: 310*i - 182557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -13.3. Let q = 0.125835 - 14.143235. Let p = q - w. What is p rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 145*i**2 + 484*i - 325. Is b(-90) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17730479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8\/r)**(7\/12)\/(r**(-2))**(-3\/37))**(-19\/2) assuming r is positive.\nAnswer: r**(-33079\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/5 - 18*m**4\/5 + 2*m**3\/5 + 162*m**2\/5 + 144*m\/5 = 0. Calculate m.\nAnswer: -8, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 64\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1010094519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 - 153.72. What is the second smallest value in o, 5, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 8:08 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1473.41187ms to days.\nAnswer: 0.000017053378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1650 (b) 0.2 (c) -1\/2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1074176 by -512.\nAnswer: 2098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/3*(-17 + 5). Calculate the common denominator of ((-67)\/5)\/(f\/50) and -30\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 491, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -3. Suppose 2*m - a = -w, 5*m - 4*m - 8 = -4*w. What is the remainder when 6 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062215 (base 11) in base 13?\nAnswer: -50288c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112432, 112443, 112484, 112573, 112728, 112967?\nAnswer: 113308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - p**2 - 7*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*q + 30. Let d = -11 + q. Sort -6, 0, d in decreasing order.\nAnswer: d, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/1173*27\/6*(-304)\/(-114).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + b + 2 = -1, 2*g - 16 = -3*b. Suppose g*z = 9*z + 284. Let f = -65 - z. Solve q + 20 = f*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 3*a - 4. Suppose -7 - 8 = -3*s. Suppose 4*m = -5*q + 40, s*q + 0*q + 20 = 0. Suppose 3*w - h - 9 = 0, 3*h = -5*w + 2*h + m. Calculate f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0906 - 0.0906. Let a(k) = -k**3 - 4*k**2 - 5*k - 4. Let p be a(-3). What is the closest to x in 0.2, -3\/5, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(243) - (sqrt(243)*2)**2*-3) + 4 + (sqrt(243) + -1)*6*1)*1*6.\nAnswer: 378*sqrt(3) + 17496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18206?\nAnswer: 2, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -3, -2*s = 2*b - 14. Suppose -d = -4*d. Let l(m) = d + 3*m**2 + b - 2*m - m**2 + 0*m. Determine l(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 109 - 136 = -13*k, a = -5*k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*h = t, 0 = -4*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 3224005?\nAnswer: 3224012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133.96 - 17.99. Let y = p + 0.03. Let b = y - 128.2. Round b to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 3*r**6\/80 - 13*r**5\/5 - 37*r**4\/4 + 36*r**3 - 327*r**2. Factor x(m).\nAnswer: 3*(m - 36)*(m + 2)*(3*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -910388\nAnswer: 15\/455194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.152718 rounded to three decimal places?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 5*k**2 + 7*k. Let g be m(-7). Calculate the highest common factor of g and 2597.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2*k - 1 - 3)*(-234 + 456 - 234) to y*k + x and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -19. Let l = -2 + q. What is the remainder when l\/(-4) + 968\/16 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*c**2 - 6274*c + 6274*c)*(2*c + 5*c - 5*c).\nAnswer: -234*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000066577415 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) 165.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1. Suppose -5*w - 4 = -w. Let n(a) = -a - 5. Let d(i) = w*n(i) - 5*h(i). Let j(g) = -5*g**2 - 2*g**2 + 3*g**2. Give j(d(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + 2bfb?\nAnswer: 2bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**2 - 3*w. Let x be c(-4). Let t be (-2)\/(-5) - x\/(-20). Suppose t*n + 4*q = 4*n + 60, -3*q - 60 = -5*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5086, -10169, -15248, -20323?\nAnswer: -25394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s - 952 + 1072 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + 5*p + 0*p)*(-52 + 8*p + 52) to r + g*p**2 + m*p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-28)\/(-70)*-2)\/((-10)\/2)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -19*g + 422. Let d be c(22). Solve 7*h - 18 = d*h + 2*j, -h + 5*j = -19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12562030 and -0.226?\nAnswer: 12562029.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:37 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26492 at most as big as 26488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 + -11?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6225 + -62243\/10. What is the nearest to q in -0.3, -2, 3\/2, -23?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 * 0.1638\nAnswer: 1.04832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from fffwfwf.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n - 4 = 0, 4*s - 2*n = 168. Let h be (s\/60)\/(7\/(-6) - -1). Let o be 1 + 1 - h*3\/(-4). Let r(u) = -8*u - 1. Calculate r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + t - 6*t)*(-1 + 3 + 1) + (0 + 0 + 4*t)*(-4 + 2 + 0) in the form a + c*t and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273373 (base 9) to base 3.\nAnswer: -22110102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acc when three letters picked without replacement from kkkakackc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11080430?\nAnswer: 2, 5, 17, 65179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*t + 10 = 0, -2*c + 15*t - 28 = 36 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 3*i - 28, 7*x + 5*i = 9*x - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78aa02 - -3?\nAnswer: 78aa05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 24 = -2*s + 6*r, -3*r = -3*s - 6. Let n(z) = z**2 + 3. Let x be n(0). Solve -s = -x*c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 3198*s + 28687. Give g(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -25*t**2. Let q(h) = 3*h**2. Calculate q(z(g)).\nAnswer: 1875*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 194*a + 674. Let k be w(61). What is the third biggest value in -0.293, 2\/19, k, 1\/6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 45*l\/4 + 5\/2.\nAnswer: 5*(l - 2)*(4*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*(15\/6)\/((-7)\/336*-20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210075, 210169, 210263, 210357, 210451?\nAnswer: 210545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. What are the prime factors of (5 - g)*(-5 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (136 + -139)\/((-3)\/12 + (1 - 0)). Which is the closest to 0? (a) -1\/12 (b) l (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1 + 0 - (-2*sqrt(17) + -5).\nAnswer: 5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5959801 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/614652 and 19\/7084.\nAnswer: 47328204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c2 - 4?\nAnswer: 5bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71084 - 2*g**3 - 142170 + 71150 + g**2 to a*g**3 + m*g + x*g**2 + s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5883 divided by 37?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 165 = 5*h, 3*h - 55 - 43 = -2*o. Calculate the remainder when 105 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) -0.02 (c) 0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1220 - 3303202201?\nAnswer: -3303200321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (9 - 17) - 2 - 10\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (720\/(-21))\/(20\/7 + -3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Suppose -l*z + 5*z = 4. Solve t - 50 = 5*a + 6*t, -2*a = -z*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*v + 16314 + 25866 = 294*v for v.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0)**(2\/35))**(15\/2))**40 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757920595 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 v, and 1 j when four letters picked without replacement from lvjluqluljvqvaj.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 1. Let k be x(2). Find the common denominator of 25\/11 and (190\/(-25) + k)*-1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -11. Suppose 125*y = 138*y + 13. Let n(u) = 3*u**3 - 2*u**2 + 1. Let d be n(-1). Sort y, d, t in increasing order.\nAnswer: t, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 20*f + 196. Give r(-5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0*(-3)\/(-9). Let z(c) = 2*c**2 + 3*c. Let k be z(x). Let b(o) = 7*o - 6*o**k + 2*o**2 - 2*o**2 + o**3 - 5 + o**2. Determine b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39277 and 1629.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 47 = 2*i - 10, -3*i + m - 55 = 0. Let w = i - -20. Find the third derivative of 8 - 3*r**4 - 6 - 17*r**w - 2 wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*c - 860 - 3132, -v = 2*c - 796. Suppose 2*u = -0*u - v. What is u rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac1 (base 14) to base 16.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 16. Let r(d) = d**3 - d**2 - 2*d - 1. Let b be r(2). Let n be b\/(o\/5)*-166. What is n rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 40. Let w(j) = 8*j + 5. Let v be (-12)\/(-9)*6\/4. Let k(o) = -4 + v - 2*o - o. Give p*w(l) + 11*k(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.8 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 13*x + 7. Let c(g) = 3*g**2 + 39*g - 20. Let s(z) = -3*c(z) - 8*k(z). Let w be s(-13). Solve 3 + 1 = -w*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9234082 to the power of 1\/2, to the nearest integer?\nAnswer: 3039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 119868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/13051?\nAnswer: 4\/13051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -118 + 6051486?\nAnswer: 6051368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 = a, 4*h - 3 = 5*a - 12. Suppose a*k + 2*y - 2951 + 585 = 0, y = -2. List the prime factors of k.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -94 + 9 + (-4 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 11*r**2 + 12*r + 9. What is the least common multiple of 868 and q(12)?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqd when three letters picked without replacement from qdddddddqddq?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i - 30*i - 6510 = -167*i + 17*i for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + 2*v + v)*(-54*v**3 + 162*v**3 - 383*v**3) as m*v**2 + o + w*v**4 + z*v**3 + x*v and give w.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31619711 to the power of 1\/2, to the nearest integer?\nAnswer: 5623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 13?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/15)\/(-4)*-1094. Let o = -2687\/15 + a. Let h = o - 39. Do 1\/11 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/12 - 4*x**3\/9 - 149. Let f(z) = 0. What is z?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1319 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 10. Let j be (c\/2)\/(6\/16). Solve 0 = 5*k + 3*x + 20, -19 = j*k + x - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 14*s = 32*s - 23*s - 5, -24 = 4*v - s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/724436 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -218, -321, -442, -587?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16196987407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(2\/23)))\/((n\/n**(1\/4))\/n)*n*n**(-2\/5)*n**(5\/2)*(n*n*n**0)**4*(n\/(n**2\/n))\/(n*n**(3\/4)) assuming n is positive.\nAnswer: n**(1114\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 7762*g\/5 - 3104.\nAnswer: -(g + 2)*(g + 7760)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 5. Let n = 37 - 18. Let k(h) = -41*h**2 + 11*h**2 + 12*h + 11 + n*h**2 + 12*h**2. Let f be k(-11). Determine g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y - 87. What is the hundreds digit of m(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 0.32. Let v be 35\/49 + (-6)\/42. Sort 5, v, l in descending order.\nAnswer: 5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 0.14, -5, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 + 15 = 0, -16 = 4*n - 4*z. Solve n = -3*p + 16, 3*c = 3*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/36 - (-8187)\/(-792). Let n = -65\/22 + g. Find the common denominator of n and 27\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -1\/3 (c) 3392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -18*k**3 + 10*k**2 + 1088*k + 2. Let z(v) = 7*v**3 - 4*v**2 - 544*v - 1. What is 2*f(n) + 5*z(n)?\nAnswer: -n**3 - 544*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 12:00 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 7*c - 25*c + 10*c - 13*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 499 + 1505 - 502 - 504. Let d(b) = -2*b + 75. Determine z(d(n)).\nAnswer: 4*n**2 - 300*n + 5625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 7. Let c(b) = 5 + 42*b - 14*b - 27*b. Calculate c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -367 + 355. Is 12 a factor of (-3 + 1)\/(74\/x - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**2 + 1. Let u(s) = -5*s**2 - 1. Let m(k) = 4*c(k) + 9*u(k). Give m(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -327*i**4 - 846*i**4 + 165*i**4 + (-2*i**4 + 4*i - 4*i)*(0 + 0 - 1) + 0*i**3 + 2*i**4 + 0*i**3.\nAnswer: -1004*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.517 + 0.107. Let a = k + 0.4099619. Round a to 6 decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzzqziziii. Give prob of picking 2 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 4*w**3\/3 - w**2 - 3*w. Is g(6) 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 105611, 105655, 105771, 105995, 106363, 106911?\nAnswer: 107675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5582411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20257246 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 156*n**3 - 1119*n**2 + 2826*n - 2376.\nAnswer: -3*(n - 44)*(n - 3)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -74b (base 14) in base 13?\nAnswer: -869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(2) + sqrt(32) + (sqrt(288) + sqrt(288)*-1)**2 + -5).\nAnswer: -18 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3154 = 3*n, n - 364 - 698 = 3*s. Let z = 1480 - n. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooym when four letters picked without replacement from oroooooyrooyyrooymr?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200430096 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {m: 8, n: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 5:25 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 3*a - 36958 - 4*a - 9*a**3 + 36954. Let i(g) = -10*g**3 - 8*g + 2*g**3 + 5*g - 3. Suppose 0 = -5*s + 17 + 3. Determine s*i(x) - 3*j(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1.4808964399028.\nAnswer: -1.7808964399028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*y. Let h be (0\/(-9))\/(-1 - y). Suppose h = -2*j - 3*j + 1295. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/7644*-8 + 5844\/117?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six thirds of a week in hours?\nAnswer: 4816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0*u**3 - u**3 + 13*u**2 - 33 + 9*u**2 + u + 8*u**2. Let y be l(30). Let p = 8 - 1. Sort 5, y, p, -4.\nAnswer: -4, y, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4590917.46236 and -15.\nAnswer: 4590902.46236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*l**2 - 1201 + 2356 - 1155.\nAnswer: 671*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 8*t + 26)*(-124498*t + 124498*t - 786*t**4) - 3*t**4 - t**5 + 3*t**4.\nAnswer: -6289*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51.8740285 from 4.87316.\nAnswer: -47.0008685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012030 - -10?\nAnswer: 1012040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-2*-5)\/(-5*(sqrt(144) + sqrt(9))) + 1)**2.\nAnswer: -4*sqrt(3)\/5 + 37\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1034 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149706 = -74*s - 27828. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068 at most 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = x + 2*x. Let l(t) = t**3 - 13*t**2 - 14*t - 5. Let a be l(x). Let j be a + 8 - (3 - 2). Solve -y + 3*y + 3*q = -3, y = -j*q - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -105. Suppose -3*s - 4*h = -68, -s + 8 = -n*h + 2. What is the greatest common divisor of s and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 652591 or 652589?\nAnswer: 652589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3430.7532 and 0.4?\nAnswer: 1372.30128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703653258 and 4389.\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1368)\/(-432)*(-6)\/(-38)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 1\/12*g**4 + 0*g**3 + 15*g + 0 + 0*g**2. Let s(c) be the third derivative of -c**4\/8 - 4*c**2. Determine l(s(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(6 - 3 - 2*d - 2).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28741, 28736, 28729, 28720, 28709?\nAnswer: 28696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -1) - (4 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 60*w**4 + 6*w**3 - 22*w - 6. Let t = -30 + 29. Let m(p) = -2*p**4 - p**3 + 1. Let b(d) = t*a(d) - 5*m(d). Find the second derivative of b(h) wrt h.\nAnswer: -600*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*c + 36, 4 = -4*v - 3*c. Suppose 2*z - 3 = 7. Solve v*h + z = 7*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 532\/(-6)*(-24276)\/833. Calculate the greatest common divisor of h and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121730.\nAnswer: 2, 5, 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 - 193.9999765. Round g to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*o**3 - 6*o + 0*o + 12*o**3 - o**3 in the form m*o**3 + d + c*o + a*o**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 26*s**2 + 61*s + 50. What is the lowest common multiple of 65 and v(-23)?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160.7 + -160.7001891. What is x rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5420 and 78590?\nAnswer: 157180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/20 + (3 + -2)*1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/260 and 89\/22076990?\nAnswer: 44153980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 10 = 0, -11*g - z = -10*g - 3*g + 36 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10 and -161\/9480?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + b + 2*b + 2*b + b**3 - 7*b**2 - 3. Let x be k(3). Suppose i - 3*p - 63 = 0, -x*i - 5*p = -4*i + 57. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1\/10 (c) 10 (d) 474 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 5. List the prime factors of w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - -2) + (-6 - -9). Solve x + n - 15 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32917.\nAnswer: 32917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((3\/6)\/((-4)\/8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 413022*c. Let k(y) = 222*y**2. Give k(l(a)).\nAnswer: 37870352291448*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 165 = 39. Sort k, -1\/53, -0.4 in decreasing order.\nAnswer: -1\/53, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -2\/7, -1, 6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, 22, 5, 0, -5 in descending order.\nAnswer: 22, 11, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 - -471. Let j = -375 + i. Which is the nearest to -1? (a) -5 (b) -1.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -1, -5, 0, 1, 75699 in descending order.\nAnswer: 75699, 1, 0, -1, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 437978647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 6*d**2 - 8*d - 12. Let p be t(-7). Let w = -1 - -3. What is the third smallest value in 5, w, -1\/8, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -15 - ((-4 - 1) + (5 - 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 46\/8) + 3. Let u be ((-4)\/10)\/(27\/(-45)). Which is the closest to u? (a) -0.1 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(720) + sqrt(5) + 1*(-1 + sqrt(5))**2.\nAnswer: 3 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(5*16\/(-40)*(-13)\/(-182)))\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11576.14 + -11576. What is the closest to s in -0.5, -0.01, -2\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -965, 5, 161\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*-71*3. Let g = t + -2700\/19. Let r = 1 - -7. Put -4\/7, g, r in increasing order.\nAnswer: -4\/7, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1*-6)\/(2*sqrt(490)*2).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5282629 is divided by 9819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 13\/2439236?\nAnswer: 13\/2439236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22 + -20 - (-2 - 4\/(-2)). Let b(s) = -s - 1. Let h be 22\/77 - (-18)\/(-14). Let y(j) = -5*j**2 - 42*j - 82. Let z(l) = h*y(l) + r*b(l). Factor z(i).\nAnswer: 5*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 418098 - 4222900. Let y = f - -1304802. Round y to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + (-1 - 0) + -5. Suppose -2*h - 12*a = -10*a + 6, -f*a - 17 = 4*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373747 is divided by 391?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:08 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 107819.\nAnswer: 107819.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 2*r + 1. Let l be (-2)\/3*(-9)\/3. Let d = l - 4. Let i(u) = -3*u**3 + 5*u - 2. Determine d*i(j) - 5*c(j).\nAnswer: j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16395452699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164029 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4758255 to the power of 1\/2, to the nearest integer?\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27560.3+-557.4\nAnswer: -28117.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333, -420, -661, -1134, -1917?\nAnswer: -3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**7\/630 - 7*q**6\/360 + q**5\/15 + 22*q**4\/9 + 160*q**3\/9 + 238*q**2 + 2*q. Solve u(g) = 0 for g.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/3 and 109\/320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.733 and -0.07.\nAnswer: 0.05131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31927879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 equal to 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -234*o - 200. What are the prime factors of l(-13)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37680000 to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*b - 24*b = 37728. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1133 + 22*w + 1133. Let p(u) = 2*u. Determine m(p(q)).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2368260*k - 2368265*k = 2*o + 51, 2*o = -2*k - 18 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4615 - 8135 = 625*b + 25230 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/60 + 4\/8 - 20\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8684 - -8684. Solve z = 2*o + 4, -9*h = -14*h + 2*o - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5 - 4. Let a be -4 + 0 + (0\/(-3))\/(-4). Let h be 3 - v*(3 + a). Sort 1, 3, h.\nAnswer: 1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 29*s + 14*s - 5 = 271 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 5*a**2 + 2*a**3 - 3*a**4 + 13*a**4 - 14*a**4 to the form j*a + r*a**3 + i + b*a**2 + o*a**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 35. Suppose -5 = 6*u - q*u. Let m be -1 - -1 - 3\/(-3). Solve 4*k - 3*h = -2*h + 3, u*k - 4*h - m = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3331.000002403 - -3331. Round v to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w + 46. Let f(i) = -i**2. Give z(f(g)).\nAnswer: 5*g**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(0 + 1)*2\/(-40). Let j = -0.2 + 4.2. What is the smallest value in u, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 132*s**2. Let m(r) = -2*r + 2*r - 18223 + 2*r**2 + 18223. Give k(m(w)).\nAnswer: 528*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2924 + 2932. Calculate the highest common divisor of d and 3208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3940 - 1694.5945.\nAnswer: -5634.5945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v + 4 = 0, v = 3*u + 7. Let w = -5.16 - -0.16. What is the closest to w in -5, -2\/13, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/1645, 6132, -2?\nAnswer: 6132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3)\/b*b)\/b**6)**(-29\/4)*(b*b**(-6\/5)*b*b**(-6)*b*b)**(-4\/25) assuming b is positive.\nAnswer: b**(7314\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.4 - 4.5. Put n, 1, 0 in descending order.\nAnswer: 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, 0, -0.6 in ascending order.\nAnswer: -1, -0.6, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 325\/(-100) + (-45)\/(-36) - 755*-10 and 8?\nAnswer: 15096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 22*k + 10. Let b be 16 - (1 - (-4)\/4). List the prime factors of g(b).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*76.7702.\nAnswer: -69.09318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*s - 27, 3*z - 3 = 4*s + 24. Suppose -3*j + 5 = 2*w, 4*w - j + 9 = w. Let c = w + z. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*x - 125, x - 95 + 70 = -3*d. Calculate the remainder when 173 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1101 - 1101 + 29*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxee when four letters picked without replacement from eeeeeeeeeeeex?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009253 is divided by 775.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w\/(w*w**(-3))*w*w)*w**11)\/((w*w**(1\/9))\/w*w**(1\/11)*w*w))**3 assuming w is positive.\nAnswer: w**(475\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c + 63. Let u(r) = 2*r**2. Determine x(u(y)).\nAnswer: 18*y**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 1822096115*u**3 - 1822096113*u**3 + 6*u**2 + 3*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3009 - -1407. Is -3 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59, -103, -117, -89, -7, 141, 367, 683?\n\"Answer: 2*l**3 + 3*l**2 - 67*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-6))\/b)\/b)**9\/(b**(-21)\/(b\/((b*b*(b\/b**(-16))\/b)\/b))) assuming b is positive.\nAnswer: b**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/544 and -79\/160?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*m**3 + 3341*a**2*m**2 + a*m**2 - 725*m**3 - 3*m**2 + 2*m wrt a?\nAnswer: 12*a*m**3 + 6682*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 55759374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -q + 2*j, -j - 23 = -4*q + 4*j. Suppose -q*x + 10 = -0*x. What is the greatest common divisor of 2 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9048493879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/15 (b) -0.7 (c) 2\/25 (d) 0.1 (e) 19 (f) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58967500 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose -t*s = -5*s + 39. Suppose 3*v - s = 23. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3649, 3640, 3633, 3634, 3649, 3684, 3745, 3838?\nAnswer: 3969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b\/(((((b**(3\/16)*b)\/b*b*b)\/b)\/b)\/b*b)*b)\/((b*b**(-10)*b)\/((b\/(b\/b**(1\/3)))\/b)) assuming b is positive.\nAnswer: b**(391\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**3*w + 3928*v**2*w - 59371*w wrt v?\nAnswer: 6*v**2*w + 7856*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549913*s = 549742*s - 12825 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 11*f**2 - 9*f - 21. Let b be r(10). Is b > -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {a: 1, n: 4, o: 1, l: 2, k: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 7*w**2 + 8*w + 18. Suppose 0 = 2*i - 4*d + 2, 30 = 3*i + d + 4*d. Calculate the smallest common multiple of f(i) and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, -9158?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/175)\/(2 + -1))\/(120\/300).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3422 by 2.\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3957368, 7914731, 11872094, 15829457, 19786820?\n\"Answer: 3957363*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/44 + 6\/(-33). Suppose -4*f - 11 = 5, u = 3*c + 4*f - 4613. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 1.77637973767.\nAnswer: 37.22362026233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) -20 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (52\/18)\/(52\/(-78))*-3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 + (-114)\/(-15). Suppose 4*g - 3*d = -12, 5*d - 12 = -4*g + t. Let p = 0.5 - 0.4. Put -0.4, p, g in descending order.\nAnswer: p, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*m + 198 = 3*o, -12 = -4*m. Calculate the highest common factor of 160 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 0*g - 6*g + 2*g**2 + 41370*g**3.\nAnswer: 41370*g**3 + 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 84*s**3 + 14*s**2 + 124. Let k(p) = 17*p**3 + 3*p**2 + 25. Let c(w) = 14*k(w) - 3*v(w). Differentiate c(y) wrt y.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + 5 + 4 + -20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33617001?\nAnswer: 3, 11, 1018697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 701\/220 - 24\/55. Let r be 3565 + (0 - 1) + (50 - 50). Let i = -32036\/9 + r. What is the common denominator of c and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 12 = 7*a - 2*a, -4*f + 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/18 and -89\/566.\nAnswer: 5094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2820385 kilometers in meters?\nAnswer: 282.0385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20400 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-247) + (-154)\/19. Let o(x) = -x + 4. Determine o(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 437 and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -743 - -742.9. Let k = 0.3 + -1.1. Let h = 0.3 + k. What is the nearest to s in 3, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7\/4, -5.28, 0.5, -0.5 in decreasing order.\nAnswer: 7\/4, 0.5, -0.5, -2, -5.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 52?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -154785120 divided by 30957024\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(343)*-1 + 5 + (sqrt(343)*4)**2 + -2*(((-1*sqrt(343))**2 - sqrt(343)) + -4) + -2.\nAnswer: 7*sqrt(7) + 4817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.375855 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*p**2 + 266*p**2 - 1 - 187*p**2 - 11*p.\nAnswer: -99*p**2 - 11*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 117*j**3 + 21405*j**2 - 1115*j - 3114. What is d(-183)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 254, 245, 236, 227, 218, 209?\n\"Answer: -9*w + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 375 = 3*y + 10*n, 2*y = -2*n - 248. Let a = 142 + y. Solve -4*x - 5*r - a = -0*x, -4*x = r + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129146638.\nAnswer: 2, 41, 61, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5881 is divided by 366?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -3\/2*o**2 - 1 + 0*o. Suppose 5*t - 5*w + 10 = 0, 0 = -t - 5*w - 6 + 4. What is n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 24 + 15 + -52?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 11928.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*k + 6*k + 11 to x*k + y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -35. Find the second derivative of 0 + 0 + w*b - 865*b**5 + 1 + 772*b**5 wrt b.\nAnswer: -1860*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -0.2 (c) 2459\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from calaoia. What is prob of sequence caol?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 120*f**2 - 1575*f + 6750.\nAnswer: -3*(f - 15)**2*(f - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5) - 1\/5. Which is the nearest to -2? (a) x (b) -5\/4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(3) - -3*(sqrt(75))**2.\nAnswer: -2*sqrt(3) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 2*sqrt(65))*-4 + sqrt(65))\/(sqrt(15)\/(sqrt(9)\/sqrt(3))) + 1.\nAnswer: 1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -150, -269, -424, -621, -866?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 28. Let o be j(27). Suppose 3*t - o - 53 = 0. Calculate the remainder when t is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*w**4 + 989710*w**3 + 2*w - 341076562 wrt w.\nAnswer: -44*w**3 + 2969130*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515315.\nAnswer: 5, 23, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45345993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 34289\nAnswer: -4\/34289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 28 - 9 = 0. Calculate the remainder when 130 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 12*a + 72. Let r be b(-16). Let t be (-2 - -2 - r)*4\/(-8). Let c(u) = 3*u**2 - 5*u - 2. Determine c(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213859.\nAnswer: 213859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -0.1 (b) -2619 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510 > 7510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12936 = 8*l. Suppose g - l = -6*g. What is the highest common factor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 46?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 2*n**2 - 2*n**2 + (2 + 1 - 1)*(2*n**3 - 2*n**3 + 2*n**3) - 3*n**2 + 3*n**2 + 15*n**3.\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = x - 0*p - 28, -55 = -5*x + 3*p. What is the closest to x in -2\/7, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from hshgfsqghsg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoouoo. What is prob of picking 1 o and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 46 = -3*s, -j + 5 = -2*s - 17. Suppose j*d = 30*d. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 4*t**2 - 5*t + 4. Let a(l) = -2*l**3 + 5*l**2 + 6*l - 5. Calculate -4*a(s) - 5*y(s).\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -21, 20, 0 in decreasing order.\nAnswer: 20, 14, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 2*h + 5. Let o(r) = -r**2 + r - 5. Give 2*c(d) + 3*o(d).\nAnswer: d**2 - d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 7*b**5\/20 - 8*b**4 + 12185*b**3\/6 + 288*b**2 + 19*b. Differentiate a(i) wrt i.\nAnswer: 42*i - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 6976 = -362*q - 689 + 760 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/7 - -26\/21. Let k = 1488 - 1492. Which is the third smallest value? (a) -2 (b) n (c) k (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 56549718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -11*(4190\/5)\/(8\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -606.6 + 830.6. Sort 0.3, 0.5, -5, r, 0.2 in increasing order.\nAnswer: -5, 0.2, 0.3, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1521 - -1520.999999247. What is z rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*j + 1546 = 0, -5*j = c - 3*j - 314. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.038 - 130.962. Let y = o + 139. Let j = 4 - 1. What is the biggest value in 2, -1, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.96 + -7. Let z = -0.04 - d. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5837 is divided by 1489?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25907753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 plus -32808452201?\nAnswer: -32808452201.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(7250\/(-60)))\/((-3)\/10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 27, 102, 249, 492, 855, 1362?\n\"Answer: 4*n**3 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/8646 and -7\/10202280.\nAnswer: 10202280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5642 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 37. What is the remainder when 13 is divided by 1 + 1 - (j - -3 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 3, -1, 4 in ascending order.\nAnswer: -1, 3, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -82989, -83073, -83161, -83253, -83349, -83449?\n\"Answer: -2*s**2 - 78*s - 82909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**4\/24 + 9*h**3\/2 + 34*h**2. Suppose 54 = 3*b - 81. Calculate the remainder when b is divided by z(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8891 - 13480 + 2653 = -303*o + 2401 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 3*y**2 - 3*y**2)*(0*y + y - 2*y) + y**3 + 2*y**3 - 2*y**3 + (-2*y + y + 0*y)*(0 - 2*y**2 - 2 + 5*y**2).\nAnswer: -4*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-684 - 185 + 86)*(-3*u - 6 + 6)*(u - u + 2*u**2)*(-3*u + 3*u - 2*u) to h + z*u**3 + k*u**4 + a*u + w*u**2 and give k.\nAnswer: -9396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1160.596726 to one decimal place.\nAnswer: -1160.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.4 + -15. Let m = 0.08 - f. Round m to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 627607? (a) 2 (b) -1\/3 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 104*s + 14 = -106*s, 13 = -f - 4*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(10\/6 - ((-86296)\/1344)\/(-23))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/16 + 3\/2. Is y + -3 + 85 - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 6100.\nAnswer: -6100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(117) - sqrt(117))\/sqrt(3))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.3*-0.1.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-18)\/(-81))*(-1820)\/(-1638).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2, 3\/2, -183\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - 20. Let s = 33 + r. Which is the smallest value? (a) 0.2 (b) -0.06 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Let s(f) = 6 - 3*f + f**3 - 3*f + 6*f - 3*f**2 - 3*f. Calculate the remainder when 19 is divided by s(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0755367 kilometers?\nAnswer: 75536.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 480*k**4 - 8565 + 8565 + (3*k**3 - k**3 - 4*k**3)*(-2*k + 4*k - k).\nAnswer: 478*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4589 (base 10) in base 16?\nAnswer: -11ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083304?\nAnswer: 2, 19, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 - -2.02. Suppose f - 2 = 2*f. Let n be 9\/f - 10\/20. What is the closest to -0.1 in t, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s - 45. Let m(k) = -21*k - 133. Let z(b) = 14*f(b) - 5*m(b). Is 72 a factor of z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4352\/8704)\/((1\/(-2))\/(1*4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132091173 is divided by 1148.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7977 + -7973. Put -10, -4, 0.3, y, 83 in ascending order.\nAnswer: -10, -4, 0.3, y, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*j = 84, -5*z - 2*j + 82 = -j. Suppose -z = 4*x - 0*x. Let y be 1 + 0 + 4\/2. Put -1, y, x in ascending order.\nAnswer: x, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + 2 - 2)*(58 - 58 + 8*v + (-2*v + 6*v + 0*v)*(-1 - 1 - 1)) as n + y*v**2 + p*v + d*v**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (4 + -1))*-3. Suppose -4 = -11*j + l. Is -0.3 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 8*r**2 + 8*r - 7. Determine g(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**4 - 220*c**3 - 940*c**2 - 960*c = 0. Calculate c.\nAnswer: -2, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003362812131 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.305 rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -8. What is the smallest common multiple of 10 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = l - 2 + 6, -v - 2*l + 4 = 0. Solve 5 = v*y + y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1383*h**2. Let q(z) = 371*z. Give q(l(k)).\nAnswer: -513093*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-21) + 20\/6. Suppose 7 = b*w - 101. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*q*t**2*y - 541*h*q*t**2 - 2*h*y + 32*t**2*y - t*y wrt q?\nAnswer: -2*h*t**2*y - 541*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/7, 0.1, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13320 and 285640?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76956, 307870, 692718, 1231494, 1924192, 2770806, 3771330?\nAnswer: 4925758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5. Let x(b) = -b - 26. Let h(i) = -11*k(i) - 2*x(i). Let a(v) = -v**3 + v + 1. Calculate a(d) + h(d).\nAnswer: -d**3 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1453460, 1, 6, -4, 5, 3.\nAnswer: -4, 1, 3, 5, 6, 1453460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0, -8 in descending order.\nAnswer: 0, -3\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {m: 1, i: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 5*i + 0*i + (3 - 6 + 4)*(-i + 3*i + 0*i) - 4*i + 7*i - i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-82)\/6 - 10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16660 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 6. Suppose 3*p = n - 5, -3*n = -5*p - 4*n - 19. Let q be (7 + 0)\/7*p. Determine f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4253*(-8)\/(-6))\/((-44)\/(-33)).\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10662, 2, 5, -4 in decreasing order.\nAnswer: 5, 2, -4, -10662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 373, 738, 1101, 1462?\n\"Answer: -k**2 + 368*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/3 (b) 2.4 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-31)\/31)\/(1*(-2)\/(-30)). Let d = 18 + y. Calculate the greatest common factor of 12 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4509.126l in millilitres?\nAnswer: 4509126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*c + 1023 + 2289. What is the greatest common factor of 2664 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 35*x = 0, -5*h = -4*x - 136 + 253 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 126 = -6*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5\/3 - 122*t**4\/3 - 130*t**3\/3 + 370*t**2\/3 + 128*t\/3 - 248\/3 = 0?\nAnswer: -2, -1, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -177*o**2. Let s(k) = -9*k. What is i(s(w))?\nAnswer: -14337*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {k: 1, m: 2, h: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*a**2 + 649*a**3 + 191*a**3 + 818*a**3 + 551*a**3 wrt a?\nAnswer: 13254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 13*w - 374. Let m be o(27). Let j(p) = p**2 + p. Let l be j(0). Which is the second biggest value? (a) -0.1 (b) -2\/21 (c) l (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) 7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 153, 295, 427, 543, 637?\n\"Answer: -h**3 + h**2 + 146*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/9*9\/15)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/4*(-192)\/(-1008)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 8*v + 9*v + 20, 2*v + 4 = a. Find the first derivative of 9055*f - 9055*f - 44 + 69*f**a wrt f.\nAnswer: 276*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 182*k**3 + 4936*k**2 - 33280*k - 38400.\nAnswer: 2*(k - 40)**2*(k - 12)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4074\/(-485))\/(3\/5)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -10\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(304) + -5.\nAnswer: -7 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 20. Let t be b(-2). Suppose 2*j = -2*s + 502, -10*j - 487 = -t*j + s. What is the highest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670007 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 3*z**3 - z**4)*(-5*z - z + 2*z + (-4 + 1 + 5)*(-2*z + 4*z - 3*z + (-3*z + 3*z + 2*z)*(-3 - 1 + 7))).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -5915401\nAnswer: 35492406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (0 + 12 + (0 - 12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*a - 155*a + 27985 = -3455. Solve a = -16*w + 120 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 divided by -3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:02 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*t - 24*t = 6405588. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in -0.22, -0.1, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t + 21. Suppose 0 = -5*r - 2*h + 92, 0 = -5*r + r - 5*h + 60. Let j = t - r. Which is the closest to j? (a) 2\/9 (b) 0.03 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-5))\/((-1)\/(-230)). Let q be 15\/150 + u\/(-120). Which is the smallest value? (a) 1 (b) q (c) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/3 + 508*h**3\/3 + 10790*h**2 + 63224*h\/3 + 31360\/3 = 0?\nAnswer: -140, -112, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19960.57087251 - 55.72918349. Let i = u - -20016. Let x = i + 0.3. Round x to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107257706?\nAnswer: 2, 31, 967, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 236355301393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9291 - -9376. Which is smaller: r or 119?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6795930.6 and -166473.\nAnswer: 6629457.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3022334.000028 + -3022327. Let y = -12 + 5. Let u = f + y. What is u rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 240852.35.\nAnswer: -4335342.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -1) + 4\/4. Suppose 12*z - 21*z = -45. Let n = 80 - 52. Solve 4*m = -g*l - 16, 4*l + 8 - n = z*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 14, -39, -114, -211?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = 313*x + 449 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(16 + -5 - 7). What is the second derivative of c*q**5 - 125*q - 635*q**4 + 635*q**4 wrt q?\nAnswer: 320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.61786242 rounded to two dps?\nAnswer: 9.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/78)\/(168\/(-728))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*k**4 + 4*f*k**3 + 5*f*k**2 + 2*f*k - 16*f + 41*k**4 + 2*k**3 wrt k.\nAnswer: 48*f*k + 24*f + 984*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**4 - u**3 - u**2 + u. Let d(i) = -26*i**4 + 2*i**3 - 22*i**2 - 2*i. Let f(g) = -d(g) - 2*l(g). What is the third derivative of f(s) wrt s?\nAnswer: 672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*g - 15*g + 5*g + 2 + (-2 + 1 + 3)*(-15 + 28*g + 15)*(-4 + 3 + 3).\nAnswer: 133*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 408 - b**2 - 415 - 2*b - 10*b + 2*b + 23*b**2. Let f(n) = -3*n + 0*n**2 + 0*n + 6*n**2 - 2. Calculate -7*f(v) + 2*q(v).\nAnswer: -4*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((-23)\/92).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2061 (base 7) to base 2.\nAnswer: 1011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 2*s - 3. Let c be t(2). Let f(m) = 2*m**3 + 3*m**2 - 4*m - 1. What is f(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85354177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97 or 24225?\nAnswer: 24225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 11*y = -248. Let s = -38 - y. What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415475 divided by -1415475?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16.067577 months?\nAnswer: 0.133896475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2297 divide 3465602151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + (sqrt(1053)*-1)**2 + 0 + -3 - 6*sqrt(1053)*3*6.\nAnswer: -963*sqrt(13) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -0.3, 449, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*c + 1497, -768 = -d - c - 270. What is the highest common factor of d and 7181?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -14*a + 18. Let c be (334\/(-5))\/((-5)\/a). Let q = -113 + c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33324152 + 12?\nAnswer: -33324140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 26\/4)*(-8)\/10. Find p such that -56*p**5 + 55*p**4 - 10*p - 95*p**3 + 65*p**c - 5*p + 21*p**5 + 25*p**5 = 0.\nAnswer: 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*w = -44323 + 45099 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/35*(325\/40 + -5)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/42 - 2) + (7 - (-364)\/(-49))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 5*w - 11 - 3*w. Determine s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:53 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 167*f - 3120. Let z(j) = 335*j - 6261. Let l(w) = 5*p(w) - 3*z(w). Differentiate l(i) wrt i.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 5*m + 20, 4*w = -4*m - 16. Find j such that 14\/3*j**3 - 4\/3*j**2 + w - 2\/3*j - 8\/3*j**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59480, 59327, 58894, 58037, 56612, 54475, 51482, 47489?\nAnswer: 42352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190.4 - -191. Let d be -1 - (-1 + (-2)\/5). Sort b, 0.2, d.\nAnswer: 0.2, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2587256um?\nAnswer: 0.0000000002587256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3012497?\nAnswer: 3012497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = -7. Suppose -j = -3*m + 3. Let a = m + -2. What is the remainder when 2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-20709*s + 10473 - 20953 + 10480 - 21214*s).\nAnswer: -41923*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4 + 5*o - o**3 + 0*o**3 - 6*o - 6*o**2 + 2*o**2. Give y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*f + 1 + 117*f + 119*f + 2*f + 153*f as a + m*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 12*x = -29*x - 234 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35070 divided by -5845?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8767.89ng in tonnes?\nAnswer: 0.00000000000876789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + z = -149285, 0 = 5*z - 2*z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0 (c) -0.18 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33898 and 2176?\nAnswer: 2169472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 12*n - 5*n)*(0 + 0 + n**3) + (2*n**4 - 4*n**4 + 3*n**4)*(-3 + 3 - 7) - 4*n**2 + 4*n**2 + 2*n**4.\nAnswer: -22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 + -114.4. Which is the closest to -1? (a) -1 (b) -5 (c) m (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/900 + 8*r**5\/45 - 83*r**4\/180 - 18*r**3\/5 + 2*r**2 - 595. Find n such that c(n) = 0.\nAnswer: -81, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 7*p - 3. Let j(k) = -k**2 - 15*k + 10. Calculate the smallest common multiple of b(-5) and j(-15).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 5*z + 4. Let p be x(3). Let a be p\/11 - 36\/44. Are a and -2\/53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s*s**(3\/4))\/s)**(-22\/7) assuming s is positive.\nAnswer: s**(-165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 74 = -0*t. Suppose 2*y - t = 9. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.004 - 57458.9091348.\nAnswer: -57458.9131348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17 = q, -4*q - 2*b = 3*b - 37. Suppose 2*n = q*n. Suppose 2*v - 8 + 6 = n. What is the closest to v in -0.4, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7\/(-5) + 95870\/50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrnanwwjwru. What is prob of picking 3 w and 1 u?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 3*r - 7*r - 10*r + 11. What is the remainder when q(-8) is divided by 118\/8 + (-5)\/(-20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 5*c - 3. Let h be v(-6). Suppose -3*a - 87 = h*q - 5*q, q + 5*a = 76. Suppose -2*s = s - q. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*l - 270, -5*t + 4*l - 324 = 2*l. Let r be ((-18)\/(-5))\/(t\/(-15) - 4). Solve 0 = 4*m - m + r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iinn when four letters picked without replacement from {n: 2, q: 9, i: 8}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - -1*(0 + 1). Let p = c + -4. Let v(y) = -y**2 + 5 + y**p - 2*y - 2*y**2 - 3. Determine v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 250, 7, 65, 3, -2 in decreasing order.\nAnswer: 250, 65, 7, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-4) - 0)\/((-5)\/(-10)). Suppose l*x - 3213 = -s, 3*x - 3*s = x + 1275. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203373.\nAnswer: 1091, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1551*m**2 - 94. Let v(d) = 194*d**2 - 12. Calculate 6*q(a) - 47*v(a).\nAnswer: 188*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by ((-508)\/78 - 54\/351)*-6?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 92\/6*42\/(-28). Let y = 22 + o. Suppose -99*m = -95*m + 8. Is m less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138265\/12 - -11534. Calculate the common denominator of 21\/4 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 24 = a. Suppose 3 = x + a. Let c(l) = -2*l - 2. What is c(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 9:30 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 - 227. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1907 divided by -1?\nAnswer: 1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:21 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 39. Let f = 1093.4245 - 1122.43. Let s = y + f. Round s to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.3 + 7. Let b = -6 - -6.2. Let g be ((-1)\/(-12))\/((-18)\/48). What is the closest to b in g, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/423 and -81\/1647538.\nAnswer: 14827842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 e when four letters picked without replacement from cccceccdeccsec?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 511*p - 17472. What is a(123)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:00 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2960, -24167, -81740, -193865, -378728, -654515?\nAnswer: -1039412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1457 + 1455. Let b = 17.3 - 16. What is the smallest value in 2, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 154, 345, 612?\n\"Answer: 38*c**2 + c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1447*i - 2649*i - 3529*i)*(1 + 0 + 0)*(3*i - 6*i + 4*i).\nAnswer: -7625*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/6 - 1)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7192\/(-1860))\/((-1952)\/(-50)) and 91\/976.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589 = 29*l + 223 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - 41*h + 6 - 52*h + 6*h to n*h + t and give n.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -33 + (1312 - 1276) + 58.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 1\/8*s**4 + 1\/40*s**5 + 0*s**3 + 0*s**2 + 7 - 1\/20*s**6 - 1\/84*s**7 + 7*s. Let v(j) = 0. What is j?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o**2 + 3. Let t be c(0). Suppose 6*j - t*j = 753. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**7\/1120 + z**6\/480 - z**5\/160 - z**4\/32 - z**3\/3 + 1. Let u(q) be the third derivative of d(q). What is t in u(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 35\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.4 in -1\/228, -0.47, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 225*d**3 + 4*d**2 - 3*d + 2. Give h(1).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-40.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 10*u - 15. Let a be z(8). Solve 0 = -h - s + a, -h + s = 3*s - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*u**3 - 54*u**2 + 39*u + 54.\nAnswer: -3*(u - 1)*(u + 1)*(13*u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 922200199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1699.4 - -1876. Let k = -177 + p. Let o = -26.3 + 25. What is the second smallest value in k, 0.1, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaxnnnnoaaxxaxaa. Give prob of picking 2 a and 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010010000010011 (base 2) to base 8.\nAnswer: 722023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432.9 less than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100.7957us in minutes?\nAnswer: 0.000018346595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*o = 21761 + 32689, -2*z + 21775 = -3*o. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -142 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 115\/7. Let o = -2873\/2991 - -293\/997. What is the nearest to o in 1\/2, s, -1, 1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -881*t + 392*t - 1550*t in the form b*t + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ava when three letters picked without replacement from vaaazgqaazaaavqjj.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 4. Let g be x(3). Suppose -172 = -g*i - 22. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1062*g**3 - 1172*g**3 + 552*g**3.\nAnswer: 442*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 23*o**2 + 2*o**2 + 8*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-8 - (-1 + 0 + -8))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1275415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/76 - 4\/(-38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 3*x**2 - 2*x. Let u(j) = -2*j**3 - 5*j**2 - 4*j - 1. Let y(a) = 2*u(a) - 5*w(a). Let z be y(-4). Solve 5*b + 1 - z = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 437\/870 - 1\/435. Let k(o) be the second derivative of 0*o**2 - o + 0 + r*o**3. Let u(l) = 2*l. Give u(k(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14877604 divided by 2?\nAnswer: 7438802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20628, -20634, -20640, -20646, -20652?\n\"Answer: -6*x - 20622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493 + -115. Let b = d + -1882\/5. Solve 4\/5*h - 2*h**2 + 0 - 2\/5*h**4 + b*h**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.13 or -1601289?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.053, 0.05, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**4\/8 + 21*g**3\/2 + 6*g**2. What are the prime factors of t(-7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -1. Let k = 44 + h. Let x = 86 - k. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4538 - 4529. Let z(v) = -2*v**2 + 19*v - 10. What is z(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 9. Let u be h(-11). Suppose -j + 9 = -2*n, j - 2*j - u*n = -9. What is the derivative of -5 + 3 - 13*t**2 + j*t**2 wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(d\/((d\/(d**8\/d))\/d*d))\/d))\/d)\/(d*d**22*d)*d**(2\/81)\/d**6)**50 assuming d is positive.\nAnswer: d**(-149750\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232104?\nAnswer: 2, 3, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*v - 897*v - 23050 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 13*p + 62. Calculate the remainder when d(-16) is divided by ((-4)\/3)\/(4\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*p + 4, 3*p - 5*x - 16 = 6*p. Suppose -10 = 3*t + 3*z - 31, p*t - 25 = -5*z. Solve -t + 1 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 7*w**2 + 7*w - 9. Let m(g) = -2*g - 6. Let n be m(-6). Let i be z(n). Let x = 2 - 1. Sort x, -4, i in ascending order.\nAnswer: -4, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 13175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zukuggunkkkaugaua. Give prob of sequence uaz.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 30. Calculate x(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 + 2*t**4 - 16*t**4)*(1 + t - 1 + 2*t + 2 - 2 + (2*t - 2*t - 2*t)*(3 - 1 + 0) - 3 + 3 - 10*t).\nAnswer: 132*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17616 times 139.8?\nAnswer: -2462716.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.99993 - 19. Round v to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/((-3 + 1)\/2). Let q be (75\/2)\/(w\/(-640)). What is q rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 4*v + 2*v - v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 110269338, 110269337, 110269336, 110269335, 110269334, 110269333?\n\"Answer: -y + 110269339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32237083*j**4 + 19*j**2 - 406955*j wrt j?\nAnswer: -773689992*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61327 or -61352?\nAnswer: -61327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514, 1021, 1512, 1987, 2446?\nAnswer: 2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqf when three letters picked without replacement from {f: 8, q: 5}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 11) in base 4?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 7:27 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**2 - 4*c + 2. Let u(m) = 7*m**2 - 5*m + 2. Let l(a) = 7*u(a) - 6*x(a). What is l(12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2012432 (base 5) to base 13\nAnswer: -118a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6045 (base 9) to base 11.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2441328 (base 9) to base 5\nAnswer: -314420240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 60. Suppose h = -2*m - 2*n + 108, 2*m + 5*n + 180 = 6*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1042 and -1042 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/15 - (238\/(-30) + -6*13\/1170)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.4 minus 0?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - 9*g. Let x = -2673 - -2671. Let j(o) = -o + 0*o - 4*o + 6*o. Determine x*u(b) - 18*j(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 20 = -4*k, 4*k = 5*l + 1 + 5. What is the third derivative of 3*c**4 - 5*c**4 - c**k + 50*c**2 - 2*c**3 + 2*c**4 wrt c?\nAnswer: -24*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14219.7 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5026 or 5028?\nAnswer: 5026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/97 + 509\/291. Let b(o) be the first derivative of 0*o - 21\/2*o**2 + y*o**3 - 5. What is the second derivative of b(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 + 25*a**5 - 39172*a**3 - 105*a**2 - 418*a + 5 wrt a.\nAnswer: 240*a**3 + 1500*a**2 - 235032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3483083 or -3483084?\nAnswer: -3483083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - ((-10)\/(-4) - -1). Let b = p + 19\/6. Are 2\/5 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 6:47 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/3 - 2668*z**2\/3 - 857608*z\/3 - 568176 = 0 for z.\nAnswer: -266, -2, 1602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, r: 5, a: 3}. What is prob of sequence rnan?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*m**4 + 189*m - 11959.\nAnswer: 104*m**3 + 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3218 to 1 dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5666167.08 seconds in weeks?\nAnswer: 9.3686625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/(-172))\/((-2)\/3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1 + 3*r**3 - 4*r**3 - 1 + r. Let c(d) be the third derivative of -2*d**4\/3 + 32*d**3\/3 + 21*d**2. Let v be c(4). Give t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 221 = 3*u, 5*u + 6*c - 357 = 3*c. Let w = u - 36. Suppose -x = -2*v - 2*x + w, -5*x = 4*v - 60. What is the remainder when 38 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16928 is divided by 5641.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {f: 8, u: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 24*h + 9. Let k be j(-7). Let x = k - -166. Solve 0 = -2*l + x*l + 2*v - 24, 0 = -2*l + 2*v + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t + 24*t + 6*t as z + h*t and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 262, -0.11, 7?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1146365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + 0.13. Let u(v) = v + 13. Let n be u(-9). Let b = -2 + 1.5. What is the closest to t in b, n, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from {d: 3, y: 1, z: 2, x: 3, q: 1, t: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000086683 rounded to 6 dps?\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597168 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, 186.7, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 827.5 take away 2943451.356?\nAnswer: -2942623.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*d - 569 - 820 = 0, -5*f - 33 = -d for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106*j**2 + 53*j**2 + 51*j**2 + j)*(14*j + 15*j - 8*j) to the form w*j**2 + b*j + k + z*j**3 and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00794 to 4 dps.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 21208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 3. Let r(p) = -3*p + 3. Let f(g) = 4*b(g) - 5*r(g). Calculate the smallest common multiple of 8 and f(3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49371372 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*t - 3024 = 552 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214 + 220. Suppose -s - 6 = -3*j, 23 = 4*j + 2*s + 5. Solve -5*i = 4*c - y, 2*i = -j*i - 3*c + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 227264683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -520*r - 6274. What is p(-12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0. Let r = -0.6 - p. Let g = 0.3 + -0.2. Do r and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/9 - 68*z\/3 + 1330\/9 = 0?\nAnswer: 7, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a800 - -297?\nAnswer: aa97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.03223081 - 185\nAnswer: -184.96776919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*x**3 - 67*x**3 - x - 16*x**2 - 75*x**3 - 95*x**2 to the form k*x**3 + g*x + u*x**2 + v and give u.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-316)\/(-64)*(364\/14)\/13.\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/15792 and 67\/55272?\nAnswer: 110544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.3384l to millilitres.\nAnswer: 48338.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.2, 2.3, -0.01, -308, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*x - 18*x - 37*x in the form q*x + h and give q.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 196 and 0.29.\nAnswer: 196.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 4*t, -42 = 23*y - 26*y - 18*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.49498l to millilitres.\nAnswer: 72494.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 2. Let l be n(2). Let u = l + 18. Let b = -22 + 30. Calculate the remainder when u is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5309, -10609, -15909, -21209?\n\"Answer: -5300*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 + 191. Which is the nearest to -4\/7? (a) -2\/5 (b) t (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 10432?\nAnswer: 10434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d + d - 2*d)*((-3 + 7 - 2)*(-3 + 3 - 2) - 16 + 17 + 10).\nAnswer: 7*d + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53291 is divided by 17530?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -32. Solve g*h + h = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 2. Let j be ((-6)\/(-4))\/((-6)\/(-24)). Let o be 3 - 1\/(2\/j). Let w be l(o). Solve 0 = 5*n + 5*y - 7 - 3, -w*n + 10 = -4*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2293, 2476, -2 in decreasing order.\nAnswer: 2476, 2293, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31433.57t to grams.\nAnswer: 31433570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502800.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/12 and 179\/4575732.\nAnswer: 4575732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379323, 758648, 1137973, 1517298, 1896623, 2275948?\nAnswer: 2655273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(19) + (sqrt(475)*1)**2 - 1*sqrt(152)\/(sqrt(32)\/sqrt(4)).\nAnswer: -3*sqrt(19) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*q + 1000*q = -256, 40*b = -4*q + 336 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 366 - 378. Put -2\/9, o, -5, 2 in descending order.\nAnswer: 2, -2\/9, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -362 - -418?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 + -118517909041?\nAnswer: -118517909211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v - 220 = 59*v. List the prime factors of (v\/(-12) + -4)\/(1\/(-642)).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/2 - 77175*r + 463095\/2.\nAnswer: -5*(r - 3)*(r + 30873)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/420 and -17\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b**0*b**(-1\/4)*b*b*b*b\/(b**5*b))\/(b**(1\/8)\/(b\/b**6))**(-28) assuming b is positive.\nAnswer: b**(585\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 41*k + 335. Let r be u(-8). What is the greatest common factor of r and 1253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30952.4726 to the nearest ten.\nAnswer: -30950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3 - 83*m + 52*m - 4 - 1 + 50*m. Let b(r) = 9*r - 1. What is -13*b(n) + 6*q(n)?\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*43\/344)\/((-611)\/564).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3\/7 - 12*o**2\/7 - 40*o\/7 = 0?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {f: 6, g: 2, p: 3, q: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, 1373, 4778, 9997, 17030, 25877, 36538?\nAnswer: 49013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*s - 5*j = -290, -j - 122 = 9*s - 6*s - 12*s + 12*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*n + 28*n - 24480*n**4 - 4*n + n**2 + 24481*n**4 + 4*n**3 - n as a*n + m*n**3 + q*n**2 + w + g*n**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 4102*q\/3 - 4100\/3.\nAnswer: -2*(q + 1)*(q + 2050)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32846554)\/1176 + 36\/(-27) + 2. Let r = s + 27930. What is the common denominator of -49\/8 and r?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14141 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: b\"What is the dth term of -2201, -3956, -5271, -6140, -6557?\n\"Answer: d**3 + 214*d**2 - 2404*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 570 - 108?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85608 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-40)\/1350*-10\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 959369*m - 959227*m + 14342 for m.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5701260 and 95021?\nAnswer: 5701260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -108*h + 1848. Calculate the remainder when 568 is divided by l(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -62945?\nAnswer: 62941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, -1\/29, -23?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/24 + 42*t**2. Let o(q) = 9 - 13*q + 8*q + 6*q - 9. Suppose -3 - 2 = u. Determine u*o(g) - m(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1247954 and 6?\nAnswer: 3743862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose 15*i = -i + 1280. Factor 16*r + 10*r**3 - 54*r**u + i*r**2 + 28 - 28.\nAnswer: -4*r*(r - 2)*(11*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 - 768*c**2 + 4500*c - 6696 = 0. Calculate c.\nAnswer: 3, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 + 106\/9. Factor -4*z**3 - 6 - 4*z**3 + 10 - x*z**4 - 4*z**5 + 12*z + 8*z**2.\nAnswer: -4*(z - 1)*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -3*w, 4*h - 3*w - 26 = -9. Suppose h*s + 32 = 12. Let y(g) = -g**3 + 3*g**2 + g - 6. Let p be y(3). Is p < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -19 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67890659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = 3*d - 24, 2*d - 6 = 0. Let p be (-2)\/1 - 7\/g. Let n be 1\/(-9)*-29 + -3. Which is the second biggest value? (a) n (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Let j(c) = -a + 4 - c + 0 + 2. Let g be j(0). Solve -3*r = f - 2, -g*r - 5*f = -0*r + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.5 (b) 0.5 (c) -4 (d) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**2 + 9454860*t + 75639200 = 0.\nAnswer: -8, 1890980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35991430421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 33, 5 in ascending order.\nAnswer: -4, 2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47796, 191197, 430198, 764799, 1195000, 1720801?\nAnswer: 2342202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 101 = -891. Suppose 0 = -5*s + 22 + f. Suppose 5*w - 24 = s. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21493, -43055, -64617, -86179, -107741, -129303?\nAnswer: -150865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34867, -69734, -104617, -139528, -174479, -209482?\nAnswer: -244549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 541316248 divided by -5\nAnswer: -541316248\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m + 3. Let s = -192 + 276. Let w = s - 79. What is the remainder when j(6) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/195*5*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhzfhzdwzzzfzzzfow. What is prob of picking 1 w and 1 h?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1478598671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3 + 3 - 1 + 7*s. Let t(w) = -7 + 67*w - 10 + 67*w - w**2 - 125*w. Let k be t(6). Calculate n(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence garg when four letters picked without replacement from cccgrrrgrccragr?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -11 + 15 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (-142 - (47 + -143))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.070627 (b) -2 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 13 + 41467*y + 7.\nAnswer: 41467*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 95 = -1985. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12604 - -12605. Which is the fourth biggest value? (a) 3 (b) -0.4 (c) -310 (d) p (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.035 + -0.0350132. Round b to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*j**4 - 2*j - 42*j**4 + 34*j**4 - 46*j**4 - 15 + 16 to c*j**3 + f*j**2 + l*j**4 + p + q*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12856 is divided by 121?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612 and 65646520?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 35. Let i be c(-8). Solve i = 3*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l - 0. What is the derivative of -3*g**3 + 2 + 0*g**l + 1 wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27101458 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-2200)\/96250)\/((-2)\/10).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82267609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -275.\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -370, -376, -390, -418, -466, -540?\n\"Answer: -b**3 + 2*b**2 - 5*b - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + a = 14, i + 7*a + 4 = 3*a. Calculate the highest common factor of i and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 32 = -4*x, -4*x - 9 = -x. Suppose -5*g + m = -3*f, g - 3*f + 2*f = 0. Suppose g*t = 4*q - 0*q - 488, -16 = -4*t. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 474, 355, 236?\n\"Answer: -119*o + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8219 + 4119 + 4124 + 47*c**2 - c**3 as v*c**2 + w + s*c**3 + t*c and give v.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-35)\/(-4)) + (-302560)\/17360. Let a(b) = b + 26*b**2 - 5*b**2 + b**3 + 19 - 3*b**2. Calculate a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -377 + 373. What is the fourth biggest value in q, -15, -0.1, -2\/9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 3) to base 13.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36860, 36872, 36884?\n\"Answer: 12*w + 36848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/7 + 13\/28. Let i = -190 - -190.46. Let y = -0.74 - i. Which is the smallest value? (a) r (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*y + 5*r + 405, 0 = 5*r + 25. Calculate the remainder when y is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408.349 days to seconds.\nAnswer: 35281353.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/18)*b**(13\/5))\/(b*b*b**(8\/3)*((b\/(b\/(b*b*b**(17\/5))))\/b)\/b) assuming b is positive.\nAnswer: b**(-497\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -0.0392 (c) 1\/7 (d) -1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/51)\/(21\/(-567)*-18))\/(195\/(-30))?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 17*k + 20. Let y(h) = -h**3 + 3*h**2 + 7*h + 3. Let f be y(-2). Suppose -f*c = 54 + 81. Give t(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 8*f**3\/3 + 3*f**2 - 281*f + 2. Let b(o) = o**2. Calculate b(a(m)).\nAnswer: 256*m**2 + 192*m + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g - 6. Let k be 2\/10 + (-5)\/25. Suppose -p + 57 = 4*x, -x + 0*p - 3*p + 6 = k. Calculate the remainder when h(-7) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67\/5 of a decade?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 14*x**2 + 16*x - 18. Let a be m(-17). Suppose 0 = -4*q - a + 2769. List the prime factors of q.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323101 (base 4) to base 14\nAnswer: -154d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - (-1157)\/7. Is ((-14)\/(-6))\/(11\/a) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*h = -0*h + 14, -21 = 3*j + 5*h. Let o be 28\/(-8)*4\/j. Let s be 2\/3 - 8\/(-6). Solve 0*w + o = -s*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-89)\/(-267))\/(22\/(-3))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.065 + -0.065. What is the nearest to r in 2\/3, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, -46\/3, -1\/4, 20 in decreasing order.\nAnswer: 20, 4, -1\/4, -46\/3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f**5 - 45\/2*f**3 + 0*f**6 + 61\/210*f**7 + f**2 + 0*f**4 + 81 + 0*f. What is the first derivative of n(g) wrt g?\nAnswer: 244*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nan when three letters picked without replacement from {e: 1, y: 1, n: 4, h: 2, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89568.3 centuries in months?\nAnswer: 107481960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oii when three letters picked without replacement from izzoiizzizziiozioii.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*8*(46 - 62). What is the greatest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5813 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3)*(-2)\/48*10\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 1. Let i be g(-1). Suppose i*s - p = 65, -5*s - p - 127 = -9*s. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -14600?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313334.\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*k + 55*k - 36*k.\nAnswer: 88*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 13. What is h(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 10 = -2. Solve 0 = f*y + 5*t - 6, 4*y + 2*t + 2 = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 2*k**2 - 2*k + 3. Let t = 52 - 54. Let y be x(t). Suppose 3366 = y*m - 6*m. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99371110 and 29811333?\nAnswer: 298113330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17009, -1, -5.\nAnswer: -17009, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byeb. Give prob of sequence beby.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30774 - 50?\nAnswer: -30804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 35 - 95. Let n be j\/7 + (-4)\/14. Factor -2\/7 - n*r**2 - 8\/7*r - 4\/7*r**3.\nAnswer: -2*(r + 1)**2*(2*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 12\/7, -0.04, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1 (c) -8 (d) -18092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.4. Let u = 0.06 + -3.06. Let h = 2 + u. Put q, 5, h in descending order.\nAnswer: 5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-1 - 57\/(-48)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 171*m + 38*m = 3*m - 2800 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219238579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2106060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 51 = -6*c. Suppose 0 = c*b - 4*b - 1130. What are the prime factors of b?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -19. Suppose -h*v = -2*q - 25, v = -v - q + 10. Suppose -2*x + 4*p + 4 = 0, 2*x + 17*p + 2 = 15*p. Solve x + v = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*t - 378*t = 209*t - 244*t + 37674 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5 + 5. Let s be (p + 2)\/(1 - 0). Solve 0*b - b = s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -8286.\nAnswer: -11\/2762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 325504 - 13*a - 325504. Let f be (6\/4)\/((-1)\/(-2)). Let d(h) = -2*h + 6*h - f*h. Give d(r(b)).\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 5*i - 0*u, -1 = -i + 4*u. Suppose 0 = -3*d - 2 + 14. Suppose -i - d = 5*o. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 2 + (-16)\/4. Suppose -2*w + v*g = g - 203, -4*w - 4*g = -400. Let x = -50 + w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274114 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*w + 16, 3*m + 9 + 9 = 2*w. Let l be (2 - w)\/(1\/4). Let t = 1 + l. Put t, -2, -1 in increasing order.\nAnswer: t, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 603788 or 602980?\nAnswer: 603788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 - a. Let x be u(-1). Let i(h) = x + 23 - 77*h + 90*h. What are the prime factors of i(8)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 g when four letters picked without replacement from gccgcgppc.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u**2 - 500*u + 2387. Give i(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*85.6711.\nAnswer: 4.283555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 - ((2 - -4 - 96) + (-6 - -3))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 7*c**2 - c - 3. Let n be r(-4). Suppose 2*o - 60 = 2*h, -2*h + 5*o = o + 64. Let s = n + h. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 29653, -8, 23 in ascending order.\nAnswer: -8, 23, 29653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 67 = -4*s, 0 = 14*s + 4*y - 230 - 24 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*h + 4*h - 13 = 0, 2*p = -3*h + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277 + -271. Let z be (-1 - 6) + g + 1 + 3. Solve 2*l + 6 = -x, -3*x - 7 = z*l + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, q: 1, k: 2, r: 1}. Give prob of sequence kqr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/121 + 491\/847. Let m be 62\/36 + 4\/(-18). Which is the second biggest value? (a) m (b) i (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 6*i + 44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-338)\/(-507))\/((-23)\/((-45402)\/28))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -52, -116, -204?\n\"Answer: -12*h**2 - 4*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (13 + 17)) + (0 - 0) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 535461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + -32. Let x = -783 - -665.9. Let y = x - d. Which is the closest to -0.2? (a) y (b) -1\/7 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeoe when four letters picked without replacement from {u: 7, e: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**1*q**(-3\/4)\/q*(q*q**(-2\/7)\/q)**(-13))**(-4\/13))**(-5\/4) assuming q is positive.\nAnswer: q**(275\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1419 and 12?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 4. Let z be y(0). Let i be -3 + 2 - 6\/z. Which is bigger: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:12 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78154976)\/336 + 4 + 6\/63. What is a rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1601 - 1006056?\nAnswer: -1004155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 124*o - 512. Determine b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 10*c**2 + 7*c - 2. Let m be b(-9). Let k = -9 + m. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15885774*u**4 - u**2 + 19*u - 113274 wrt u?\nAnswer: 381258576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 6. Solve 0 = a*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99605 and 99605?\nAnswer: 99605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 8*c)*(2*c + 5*c**2 - 2*c) to g*c + w + l*c**2 + n*c**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/15708)\/((-3)\/(-21))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (-4004)\/(-117) - (-662)\/18?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 3:37 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1596, 1581, 1564, 1545, 1524, 1501, 1476?\n\"Answer: -l**2 - 12*l + 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(1422\/395)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 42*n**2 + 347*n + 390.\nAnswer: (n - 30)*(n - 13)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-330)\/105 + 2\/14. Let a be -12*(2\/(-18))\/(n\/(-9)). Let z = 10 + -5. Solve -5*c + 0*f = -f + 4, a*c - 1 = z*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56171920 by 501535.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:18 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**3 - 3*o**2 + o - 4. Let q be s(-2). Let t = 144 - q. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.36 - 0.55. Let z = 1.41 - y. Round z to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1515948.3 months?\nAnswer: 126.329025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 595 in -1.3, -5\/17, 3\/4, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-84) + (-3794)\/(-8). Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**2 + 5654 - 9*x + 3*x - 5655 - 8*x**2 to g + u*x**2 + a*x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/120 - j**5\/10 + j**4\/24 + j**3 + 353*j**2. Let q(s) = -s - 18. Let r be q(-13). Give t(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -790*g**3*p**3 + 167*g**3*p**2 - 3*g**3 wrt p?\nAnswer: -4740*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 - 8*z**2 - 16*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 852 to the nearest ten.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 + 9\/(-36). Suppose -2*u = -l*u - 30. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7046164 by 107.\nAnswer: -65852","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*j - 6601*j**3 - 2.\nAnswer: -6601*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14856393 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*k + 130*k**4 - 128*k**4 - 59*k**2 - 34*k wrt k.\nAnswer: 24*k**2 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 97d71?\nAnswer: 97d6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 178.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = -158*w - 306 - 6470 + 894 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqriqffn. Give prob of sequence bi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.499 less than 8387690296?\nAnswer: 8387690297.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*w**4 + 4*j*w + 196*w**5 + 11*w + 1 wrt w.\nAnswer: 24*j*w**2 + 3920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 200137\/20 - 10005. Let a(b) be the second derivative of -14\/3*b**3 + 0*b**2 + 0 + 0*b**4 + 12*b + t*b**5. Find the second derivative of a(v) wrt v.\nAnswer: 222*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1265 = -63*q - 814 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50320 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvimi. Give prob of sequence vm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 1. Let y be o(1). Let f be -33*4*1\/(-6). Suppose y*n - l = 66, -f = -n + l - 3*l. What is the remainder when 42 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -339*w + 202. Let n(c) = 339*c - 242. Give 5*n(t) + 6*q(t).\nAnswer: -339*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -p. Suppose 2*g + 0*g + 4 = 4*h, 5*g + 3*h - 42 = 0. Solve -g*o + 2*o + p = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/7, -2, 2\/3, -9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(616) - sqrt(616)) + sqrt(616))*6 - sqrt(616))\/(2*sqrt(22)\/sqrt(2)))\/(sqrt(512)*1 - sqrt(88)\/(sqrt(55)\/sqrt(5) + sqrt(11))).\nAnswer: -13*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4427*i**2 + 463*i - 1840. What is the tens digit of f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:30 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 9*j**2 + 13*j - 14. Does 19 divide v(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, q: 3, z: 2, o: 1}. What is prob of sequence oq?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 - 11 + 11)*(-38 - 48 + 54 - 2 + 0 + 0 + (1 + 1 + 0)*(-5 + 1 + 3))*(4 + 0 - 2)*(-2*x + x + 0*x) in the form u*x + t + g*x**3 + d*x**2 and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 489159560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 13*y + 43. Give h(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28155142 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 9. Suppose b*i - 20 = -0*i. Suppose -j + i = -0*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 24 = 3*r. Let y = -0.23 + 0.03. Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162023)\/(-13137))\/(-1*1).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 + 9*q - 4. Let g(w) = w**2 - 2*w + 1. Let z(l) = -9*g(l) - 2*u(l). Give z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -80*t**5 + 77*t**2\/2 + 4*t - 193. Find the second derivative of h(z) wrt z.\nAnswer: -4800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 21 = -13. Let q = 20 + k. What is the units digit of 2\/q + 86\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 8 - 2*d**2 - 2561*d + 3*d**2 - 2*d**2.\nAnswer: -d**2 - 2561*d - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -773, -777, -785, -797?\n\"Answer: -2*g**2 + 2*g - 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/5 + q**3\/5 + 6*q**2\/5 = 0. Calculate q.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -1\/9*h**4 + 0 + 4\/3*h**3 + 0*h**2 - 100*h. Factor p(y).\nAnswer: -4*y*(y - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -2059660983184745.\nAnswer: -2059660983184745.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o\/(o**(-12)\/o))\/o*o**(-19)*o*o*o**8*o**10 assuming o is positive.\nAnswer: o**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 14*i = -56. Suppose -4*q + 26 = w, -i - 15 = -3*q + w. Solve 2*o - q + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q**2*w - 34770*q**2 - 10*q*w - 32*w wrt w?\nAnswer: 3*q**2 - 10*q - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1206667521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 - (58 - 52) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h*h**(-3))\/h*h)\/h)\/(h\/h**29))**(2\/155))**23 assuming h is positive.\nAnswer: h**(1196\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -287 and 0.2.\nAnswer: -57.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(36) - (sqrt(36) + sqrt(36)*2)))\/(sqrt(32) + sqrt(128)\/sqrt(4)))\/((-1*sqrt(216))\/(sqrt(108)\/sqrt(3))).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -14.76. Let k = -50.24 - n. Let x = k + 57.2. What is x rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 6*n**2 + 28*n - 89. Let s be h(8). Let j = s - -2522\/5. Which is the nearest to j? (a) 4 (b) 3 (c) -2 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -8, -2, -4 in decreasing order.\nAnswer: 10, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/17 - 1960*d**4\/17 - 1968*d**3\/17 + 5884*d**2\/17 + 1966*d\/17 - 3924\/17 = 0. What is d?\nAnswer: -2, -1, 1, 981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 1, y: 2, o: 2, t: 3, b: 2}. Give prob of picking 1 o, 1 e, and 2 b.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**3 + r**2 - 57. Let m(z) = 6*z**3 + z**2 - 69. Let w(b) = 6*m(b) - 7*v(b). Determine w(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6)*-2)\/(715\/12870)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57999954.\nAnswer: 2, 3, 17, 568627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**4 - 56508*q**3 + 1811072*q**2 - 18119424*q + 57995264 = 0.\nAnswer: -14159, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(33) - -2*sqrt(825))\/(-2*sqrt(11)*1).\nAnswer: 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m\/(m\/((m\/((m*m**(-12)*m)\/m)*m)\/m))))\/m)\/m)\/m*m)\/m**(-2\/33)*m**(-1\/2)\/(m\/(m*((m**(2\/9)\/m)\/m*m)\/m*m)) assuming m is positive.\nAnswer: m**(-3013\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905481.\nAnswer: 3, 100609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**5\/15 - i**4\/6 - 6*i**2. Factor j(l).\nAnswer: -4*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131358427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i - 82*i - 48*i + 5*i)*(288*i**3 - 12*i**4 - 288*i**3).\nAnswer: 1608*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*((v\/(v**(-10)\/v))\/v*v)\/v))\/v*v**(4\/9))\/(v\/(v*v**(-2\/9)))**(41\/3) assuming v is positive.\nAnswer: v**(-394\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(-3*sqrt(4)))**2 + 4*(1*sqrt(13))**2.\nAnswer: 481\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 + 5*o**4\/6 - 23*o**3\/6 - 61*o**2\/2 + 158*o. Let g be a(-11). What is the highest common factor of 639 and g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1323 divided by 189\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 566, 4, -0.1 in decreasing order.\nAnswer: 566, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 23*h**4 + 6*h**3 + 6*h**2 + 6*h - 6. Let f(a) = a**4 + a**3 + a - 1. Let u(o) = 6*f(o) - z(o). What is the third derivative of u(l) wrt l?\nAnswer: -408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4 - 14\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (253 - (-1 + 10)) + 8. Suppose 49*s - 336 = g. What is the smallest common multiple of 33 and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5 and 17\/96414.\nAnswer: 482070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 188113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5524050 is divided by 4302.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -980 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-184)\/(-6)*(-15 + 18).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1713*x**2 - 9871*x**3 + 17843*x**2 + 9873*x**3.\nAnswer: 2*x**3 + 19556*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 8*h - 7. Let x be o(-6). Solve 4*j = x*p + 35, -p + 3*j - 31 = -13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 2 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let d be -21 + (-4)\/((-24)\/(-18)). Let i be d\/252 - 5\/((-315)\/888). Solve x - 4*w - 32 = -4*x, -g*x + i = 2*w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5601*h**3 + 72*h**3 + 1739*h**3 - 280*h**3.\nAnswer: 7132*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.5, -0.08, 79, -4, -1 in increasing order.\nAnswer: -4, -1, -0.5, -0.08, 6, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 133044 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 2*d + 2. Suppose 0 = -3*l - 6*z + z + 35, 4*z = -3*l + 31. Let r(v) = -4*v**3 - 5*v - 5. Calculate l*h(b) + 2*r(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 - k + 1. Let r(b) = 2*b**3 + 4*b**2 + 7*b. Let m(w) = -2*w + 1. Let u be m(-1). Let v(j) = u*n(j) + r(j). What is v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -383628, -383636, -383644, -383652, -383660?\n\"Answer: -8*j - 383620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -61) + 14 + -10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b683 (base 12) to base 10.\nAnswer: -19971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*d - d = 1, 2*z = 3*d - 11. What is the units digit of (-3)\/z*20\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 2*g + 0*g - 5*g. Let k = -4 - 1. Let a(b) = 6*b**2. Let x(t) = -9*t**2. Let p(u) = k*x(u) - 8*a(u). Give p(o(s)).\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - m - 4)*(-4 + 5 - 4 + (1 - 1 + 1)*(0 - 5 + 3) + 4 + 3 - 2 - 1 - 1 + 4) to b*m + w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**8\/672 - i**7\/240 + i**6\/360 - 2*i**3\/3 + 2*i. Let k(u) be the second derivative of q(u). Find w such that k(w) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/12741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - 2*k + 4*k)*(0 - k + 0) + 2*k**2 - 2*k**2 - 2*k**2 to t*k + b*k**2 + m and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26772 - 1951.09\nAnswer: -28723.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6738 - 7.6738. Does -151 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u - 187 + 3*u + 3*u + 0*u as o + t*u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + m + 1, 1 = -4*n + 3*m + 8. Put n, 7, -1 in ascending order.\nAnswer: -1, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose 0 = -4*i + 2*p + q, -2*p + 2 = -2. Let m be i - (2 + -1)*-18. Solve -4*o = 3*h + m, 4*h + 0 + 20 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40192.99999952963 + -40193. Round f to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -6*f - 2. Suppose 0 = -2*w + 3*n + 3 + 6, f*n = -4*w - 22. Let h be (0 - 0) + (-1 - w). Solve -h = -4*c - g - 6, 0 = -2*g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**3 + 28918*k - 30*k**3 + 292 - 28918*k.\nAnswer: -k**3 + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 57125 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.455 - -1.285. Let m = 0.43 - s. What is m rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3458*t = 163348 + 47590 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:19 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(3 + (-3 + sqrt(128) + 1 + sqrt(128) + sqrt(128))**2 + -2).\nAnswer: -6947 + 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/400 and -27\/320.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 - 112*n**2 - 27*n - 84. Is w(-25) a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(228) - -1*sqrt(228)))\/(sqrt(48)\/sqrt(100)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**5\/130 - n**4\/78 + 2*n**3\/39 + 7*n. Factor r(d).\nAnswer: -2*d*(d - 1)*(d + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 37\/149115?\nAnswer: 37\/149115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (3 - -20) + 4. Let w be (21\/(-9) - 1)*9. Let y = w + c. Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtmn when four letters picked without replacement from tnryynsyyysrmsss?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 46*j - 10. Let p be l(-11). Let w = p + 1287. Suppose 4*h + w = 2287. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 47. Let d(w) = 3*w**2 + 20*w - 15. Let c be d(-8). Suppose 20*x - c*x - r = 0. What is the least common multiple of 2 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 3:06 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 - 8*f - 17. Give a(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6)*(124\/(-28) - -4). What is the nearest to g in -5, 0.1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 5 - (1 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (32 - 12 - 16 - -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*-6 - (-14 - -15). Put p, -66, -2 in decreasing order.\nAnswer: p, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -669 + 668.999563. What is x rounded to five dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 2*f**3\/3 + 66*f. Let l(b) = 11*b**2. Determine v(l(z)).\nAnswer: 44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14103 and 11271431.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*-6*28\/105.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*((-2*k + k - k)*(1 - 6 + 3) - 15*k - 15*k + 49*k).\nAnswer: -46*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*f - 12, 12 = -3*f + 261978*r - 261974*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2065 (base 8) to base 10\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/2583 and 20\/287.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23955 is divided by 74?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 152731304, 152731302, 152731300, 152731298, 152731296, 152731294?\n\"Answer: -2*h + 152731306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 180*d + 178*d = 31, -3*n + 2*d = -17 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let j(l) = -2 + 581*l + 2 - 1068*l. What is j(g(k))?\nAnswer: -487*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*d - 1424, -4*w + 3*d + 2848 = -0*d. Let i = 1211 - w. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1625 + 1356 = 74*w + 551 - 1122 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n. Let h(j) = -6*j**2 - 2*j. Let c(z) = h(z) - 5*x(z). Let a(l) = 37*l - 40*l + 1 - 1. Determine -5*a(d) + 2*c(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 4*x + 831*x**3 - 3*x + x.\nAnswer: 831*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14020, 14319, 14608, 14881, 15132?\n\"Answer: -r**3 + r**2 + 303*r + 13717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -0.1, 2\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2424, -9713, -21870, -38901, -60812, -87609, -119298, -155885?\nAnswer: -197376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/(-3)*225\/150. Is p >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f. Let i(b) = 49*b**2 + 106*b. What is r(i(n))?\nAnswer: -147*n**2 - 318*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66069, -132140, -198097, -263886, -329453, -394744, -459705, -524282?\nAnswer: -588421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + o + 6, 5*m + 12 = 39*o - 41*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8*n - 5 = 0. Suppose -192*k + 190*k = -408. Let a be (-40)\/30*(-18)\/k. Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3 - 9. Let r(x) = -x**3 - 6*x**2 + 10*x + 25. Let m be r(-7). Sort m, b, -2, 5.\nAnswer: b, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105625*b**2 + 11700*b + 324.\nAnswer: (325*b + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135372355?\nAnswer: 5, 1427, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 92 + (-18 - 12) + -11 + 3\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-408)\/18)\/17)\/(1\/189). Let n be (-6 - (2 + 30\/(-5)))*w. What is the greatest common factor of 56 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*l**2*r**3 - 2*l**2*r + l**2 + l*r**2 + 13*l - 25749*r**3 + 28*r**2 wrt r.\nAnswer: -192*l**2 - 154494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -463 + 3?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*k + 16*k - 91 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 7968?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193600*f - 75305*f - 118295*f + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4\/2 - 6*n**3 + 9*n**2 - 6*n + 3\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**6\/120 - m**5\/16 - m**4\/6 - m**3\/6 + 6*m. Determine j so that u(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/11 in 601, 12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 4*g + 1. Let b be (-584)\/4*3\/(-3 + 6). Let a = -141 - b. Suppose 0 = -a*w + 10*w - 20. What is p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/3*(12 - 6). Let f(m) = -21*m**3 - m**2 + 2. Let k be f(-1). Let s = k + v. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**2*z**2 + 198*p**2*z + p*z**2 - 9*p - 32*z**2 - z + 88 with respect to p.\nAnswer: -8*p*z**2 + 396*p*z + z**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3329925296818.000001021 - -3329925298640. Let w = f - 1822. Round w to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 4*t - 2*t)*(-9*t**2 + 8*t**2 - 10*t**2) to the form j*t**2 + c*t + f*t**3 + h and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202278645.\nAnswer: 5, 240455729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 0. Let y = j + 14. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let a = 0.1 - p. Let k = 6\/37 + -128\/333. What is the second biggest value in a, k, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1103\/167626 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 170.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/437472 and 67\/307024.\nAnswer: 270795168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odddddo. Give prob of picking 1 o and 1 d.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/12 - d**3 + 15*d**2\/2 + d - 448. Give j(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3770642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 3 - 5 - 84*v**2 + 7 to b*v**2 + l*v + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3540606 and 57981.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.09 in -2, 1\/4, 5.1, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2. Let d(z) be the third derivative of -z**4\/4 + 5*z**3\/6 - 449*z**2. What is n(d(q))?\nAnswer: 180*q**2 - 300*q + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -10.261.\nAnswer: -51.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3074 or 1?\nAnswer: -3\/3074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58 * 0.0295.\nAnswer: 0.01711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*x - 242*x = -2*j + 12, -5*j - 5 = -5*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -6*l + 32*l. Let g be ((-1)\/2)\/(1\/(-4)). Suppose -l*d + 1 = -g. Solve -d = -4*t - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/887 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6905082 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161221\/63 - -2559. Let l = 2\/7 + f. Which is the closest to 2\/7? (a) 2\/3 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 3*q**3 + 0*q - 4*q - 3*q to the form x*q**2 + p*q + u*q**3 + l and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3 + 24*i - 12*i - 13 + 10*i + 28*i. Let g(r) = 10*r - 3. What is 16*g(m) - 3*n(m)?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216660?\nAnswer: 2, 3, 5, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/50 - ((-86)\/10 - -5). Solve -q*c - 10 = 0, -c - 14 = -p - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2395 (c) 0.1 (d) 4 (e) -3\/22 (f) -0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 3*f - f)*(-85 - 50*f + 37 + 48).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/4))\/(t*t\/t**3))\/(t*t*t**(2\/3)*t*t*t**(-1\/25)) assuming t is positive.\nAnswer: t**(-863\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -112395*r**3\/7 - 22479012*r**2\/7 + 22588995*r\/7 + 2412\/7 = 0?\nAnswer: -201, -4\/37465, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Let a(x) = -7318*x**2. Calculate g(a(p)).\nAnswer: -53553124*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*p + 111*p + 36 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.2. Sort 4, 2, a in descending order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18554 - 18519. Solve 47 = x*s + 117 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1277 (c) -2\/5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -14 - (1 - 0)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*s + 427990, s + 27165 = 5*c - 115491. Let h = s + 289252. Suppose -146414 - h = 5*y. What is y rounded to the nearest 1000?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 417*a**2 + 410*a**2 + 84*a**3 - 2*a**4 + a - 2 + 1 + 410*a**2 - 1236*a**2 to the form z*a + l + m*a**2 + g*a**3 + n*a**4 and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -221031002 (base 4) to base 16\nAnswer: -29342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 12) to base 13\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 605*o + 0 - 594*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -13.965. Let g = r - 0.745. Round g to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 6, -3\/7, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/23 - (2 - 8). Suppose -w*q = -30 - 310. Calculate the remainder when q is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86779221779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:35 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.3 + 2.3. Which is the closest to 0.1? (a) -0.5 (b) r (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**2 + 7*l**2 + 2*l**2)*(-3*l + 24*l**2 + 4*l + 2*l).\nAnswer: 24*l**4 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3894 + 9068. Let i = m + -3084. What is i rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-21))**(2\/21)*(j**(-3\/8)*j)**(-13\/4) assuming j is positive.\nAnswer: j**(-129\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*u**4 - 2*u**3 - 19*u**2 - 6*u.\nAnswer: -600*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35845583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x. Let r(m) be the second derivative of -5\/3*m**3 + 1\/2*m**2 + 0 + 9*m. Give 2*r(b) - 11*u(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u - 1. Let r(m) = -17*m - 2. Let p = 2503 + -2505. What is p*r(j) + 7*x(j)?\nAnswer: -8*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-4))\/(13\/((-416)\/(-40))). Suppose 0*d = -2*d - 14. Which is the nearest to d? (a) -4\/5 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 33*y**2. Let z(j) = j. Determine z(n(b)).\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -634, -1, 5, 2, 7, 3 in decreasing order.\nAnswer: 7, 5, 3, 2, -1, -4, -634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 88?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655323 is divided by 2491.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -97349565 minus -0.204?\nAnswer: -97349564.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6148*u**3 - 1732 wrt u?\nAnswer: -18444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*h + 50, 0 = 2*h - 3 - 1. Find the third derivative of -t*d**4 + d**2 - 15*d**4 + 7*d**4 + 11*d**2 wrt d.\nAnswer: -672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2, 3\/8, -0.36, 12025\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2055 is divided by 856.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*s - 49*s + 274*s**2 + 368*s**2 - 59*s to the form k*s**2 + l*s + h and give k.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((139 - 125) + -3 + 2 + -7)) + 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124\/3 + -41. Which is the third biggest value? (a) v (b) -0.14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = -5*y, -x + y + 0*y + 9 = 0. Let n(i) = -2*i**3 - x*i**2 + 6*i + 31 + i**3 - 23. Determine n(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -42*k - 77. Let u(j) = 8*j + 15. Let f(n) = 2*t(n) + 11*u(n). Let q = 5 + -9. Let p be f(q). Let r(y) = y**2 + 7*y + 1. Calculate r(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/20 + c**4\/3 + c**3\/2 + 2*c**2 - 2*c. Let d = 89 - 84. What is f(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186253281?\nAnswer: 3, 137, 151057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 7*d - 30 = 0. Suppose 4*u = 199 - 15. Calculate the common denominator of u and 62\/(-22) - d\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 divided by 7?\nAnswer: 561\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**3 + 12*n**2 + 3*n. Let y(b) = 4*b**3 - 11*b**2 - 3*b. What is -5*j(h) - 6*y(h)?\nAnswer: h**3 + 6*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 3, j: 3}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2987 and 5?\nAnswer: 2982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*x**2 + 320*x**2 + 64*x**2 + 399*x**2 + 86*x**2.\nAnswer: 970*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 23\/332 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155 + -55?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x - 11559 = 46*x - 3*k, -4*x = 2*k - 15414. Calculate the highest common divisor of 846 and x.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 280 = -2*k, 0*h - 3*h + k = -284. Let j(w) = -6*w - 6. Let p be j(-5). Calculate the highest common factor of p and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*d + 24 = 0, -2*a = -0*d - d + 2. Suppose -a - 19 = -4*m. Suppose m*g - 26 = 3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 13*w**2 + 16*w - 5. Let o be c(-5). Let d be (-1 + 12\/18)*3 - o. What is the highest common divisor of d and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**4 + q**2. Let w(t) = -4*t**4 + 8*t**3 + 2*t**2 - 24*t - 18. Let j(a) = 2*f(a) + w(a). Suppose j(o) = 0. What is o?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23550037 (base 8) to base 10.\nAnswer: 5165087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 - -113. Let d(v) = -v**3 + 24*v**2 - 62*v - 15. Let i be d(y). Determine b so that -4*b - 2\/3*b**2 - i = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-2) - 25\/(-50)) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, 0.15 in decreasing order.\nAnswer: 2, 0.15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 - -180.909. Let x = j - -3.091. What is the closest to 2 in 5, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13658 divided by 7.\nAnswer: -13658\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2760.89 - -2785. Let x = -24 + z. What is the smallest value in -3\/4, 0.1, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1612 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57886941941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1445 - 7*y**3 + 1445 + (-15*y + 5*y**2 + 15*y)*((1 + 1 + 0)*(-4 - y + 4) + 2*y + 0*y - 4*y).\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 52378440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -7*f + 8*f, 0 = y + f. What is the third derivative of 106 - y*w**4 - 9*w**6 - 6*w**2 - 193 - 4*w**4 + 100 + w**2 wrt w?\nAnswer: -1080*w**3 - 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 290*o**2 + 4*o - 1. List the prime factors of x(1).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2266245649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/8*(-8)\/(-24)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -4 (c) -0.5 (d) 47 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73136543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21342*v - 24*v**3 + 21342*v - 15*v**3.\nAnswer: -39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.06 (b) -9\/8 (c) -1 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-25)*j*j*j**(-17\/3)\/j)\/(j**(8\/9))**39 assuming j is positive.\nAnswer: j**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -417237 or -417238?\nAnswer: -417237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 1\/30*a**5 - 26*a**2 + 0*a**3 + 0 + 0*a - 29\/12*a**4. Factor y(w).\nAnswer: 2*w*(w - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.83 + -0.17. Let r(l) = l**3 + 6*l**2 - 6*l - 4. Let x be r(-7). Let w = 6 + x. Which is bigger: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 7*p**2 - 8*p + 3. Let i = 13 - 8. What is the tens digit of d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s - 5*s + 17*s + 180 = 0. Solve u + 3*u = 2*f + 10, -2 = -s*f - 2*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.3. Which is the closest to -2? (a) -0.02 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 3, g: 3, k: 2, p: 1, b: 1}. Give prob of sequence kkbm.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1515713504\/7 and -216530502 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d\/d**7)\/((d**0*d)\/d)**(16\/9) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133220 (base 6) to base 16.\nAnswer: -306c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 0 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:38 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 - (-7)\/9. Let j be 6\/16*-2*-4. Let h = 0 - -2. What is the closest to z in -3, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-2*(-2)\/(-8)). Let m(k) = -4*k - k**2 + 7*k - h + 10*k. Let f be m(11). Put -4, -3, f in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -549, -1306, -2355, -3690, -5305?\nAnswer: -7194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*m = -16*m - 285, 3*r + 6*m + 34 = 5*m + 4*m - 4*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.196 - 0.184. Let j = l + 2.5. Is j greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**3 + 45*a**2 - 50*a - 15.\nAnswer: 5*(a - 1)*(a + 3)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26776, -26775, -26774, -26773?\nAnswer: -26772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1266*l**4 + 1265*l**4 + 2*l**3 + l - 1 + 10*l**2 + 2 as n*l**4 + z*l**3 + g*l**2 + h*l + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/13, -230 in ascending order.\nAnswer: -230, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 4)*(-y + 3*y - 4*y) + (23 + 11 - 4)*(4*y - 5*y + 4*y) to the form b*y + z and give b.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7) + -10 - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from miizrmmmvkzk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -5\/6, 3.02, -8, 164, -4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4550 - -21223. What are the prime factors of q?\nAnswer: 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22137 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 185\/(-74)*(-578)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-3)\/20)\/(60\/50).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 5*o + 3. Let m be 144\/(-90)*130\/4. Let g = 57 + m. Calculate b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608.573 - 1.\nAnswer: -609.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 2. Suppose r = -3*f + 2*f. Let p = f + 14. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2. Let u(z) = -16*z - 7*z + 22*z. What is u(n(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 132 = 11*q - 17*q. What is the highest common factor of q and 2354?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 2.5, 27, 7 in decreasing order.\nAnswer: 27, 7, 2.5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.49917 minutes in hours?\nAnswer: 3.4583195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2336 and 4800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/((-9)\/13347). Let w = f - 971. What is the common denominator of -56\/3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97436369*y - 177714281?\nAnswer: 97436369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7173, 14316, 21457, 28596?\nAnswer: 35733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, -55, -180, -379, -664, -1047, -1540?\n\"Answer: -2*r**3 - 19*r**2 + 8*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596930 is divided by 144?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z + 1. Let m(y) = -y**3 + 10*y**2 + y - 9. Let d(n) = -m(n) - 2*w(n). Let v be d(-10). What is the nearest to 0.2 in 1\/5, v, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -4 (b) 128.35 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32824\/5 (b) -2 (c) -1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065946 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let d(x) = 6*x - 1 + 3 + x + 0. Give 6*a(y) + d(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 (base 16) in base 9?\nAnswer: 2845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 + -3)*4\/6. Let z = 114 - 1. Let y = 116 - z. Solve u - y*f = x*u - 8, u - f = 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1109\/32 - 5\/32. Let f be ((-4)\/(-6))\/(1\/51). Let o = f - q. What is the closest to 4 in 4\/3, -1\/9, o?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.51 + -0.81. Let v(h) = -7*h + 209. Let i be v(30). Which is the closest to 2\/53? (a) 1 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 353 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0 (b) 51 (c) -75 (d) 1\/4 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*s**3 - 569*s**3 + 56*s**3 - 232*s**3.\nAnswer: -1111*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0 + 2*b**2 + 0*b**3 - 2*b - 1\/6*b**4. Find the first derivative of m(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/30*(-935)\/(-154). Let l(y) be the second derivative of 0*y**3 - 9\/2*y**2 + 0 - 29*y - s*y**4. Find the first derivative of l(n) wrt n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (-2*sqrt(275) - sqrt(275)))*-2)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjaaejefj. Give prob of sequence jeff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 - 77*x**2 - 24*x - 49. Give q(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, 2\/69, -4, 2.66?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4725 = -x - 2*s, -5*x + 5*s + 23605 = 10*s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248\/3348)\/((-76)\/72).\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 4436*r - 290408.\nAnswer: 4*(r - 1171)*(r + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.61 - -1.61. Is 1\/3 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**3\/6 + o**2\/2 - 2*o. Let f(n) = -n**2 + 11*n + 8. Let x(z) = f(z) - 4*y(z). Let v be x(7). Which is greater: v or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-2\/101)\/c)\/c)\/(c**34\/c) assuming c is positive.\nAnswer: c**(-3436\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**4)\/(w\/(w\/w**(-5\/2)*w*w))*w\/w**(2\/3)*w\/(w\/(w\/(w*w*w**(-5\/3))))*(w**7\/w**(-1\/3))**(1\/10) assuming w is positive.\nAnswer: w**(97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-4))\/3*8\/168?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3543 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448628 = 592*c - 459876 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 298 + -135. Let q be (-368)\/(-4) + 2*-1. Let w = z - q. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336370 - 18*q**2 + 336370.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2655839*f**2*y**2 + 2*f**2*y + 11*f*y**2 - 162478*f - y**2 wrt f.\nAnswer: -5311678*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**17*j)\/j**(3\/8) assuming j is positive.\nAnswer: j**(-123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 351. Let k(j) = 4*j**2 - 205. Give q(k(o)).\nAnswer: 8*o**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 4*v - 64, 4*i - 9262 + 9352 = 3*v for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/10*(-8)\/56.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + g - 3*g + (1 + 4 - 3)*(-1951 - 878 - 1355)*(-3*g + 0*g + 4*g).\nAnswer: -8372*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v + 45*v + 3*x - 29 = 0, 0 = -4*v - 4*x + 36 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 2, b: 2, m: 1, v: 1}. Give prob of picking 1 m and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 + 3. Let s be g(6). What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4700 + 1753 = 9*g. Suppose -3*w + p + g = -p, 2*w - p = 477. What are the prime factors of w?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330800044?\nAnswer: 2, 2029, 40759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 146, 139, 136, 137?\n\"Answer: 2*g**2 - 13*g + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -4*z - 234. Suppose 82*j = z*j + 320. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)*3\/6. Suppose -q + 4*s = 4*q - 2, s - 2 = a. Differentiate -5*r + 0*r + 5*r**q + 5*r - 1 wrt r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(35)\/sqrt(5) + -4*(sqrt(7) - sqrt(112)))**2 - ((sqrt(126)\/sqrt(2) - (sqrt(7) + (sqrt(35)*-1)\/sqrt(5) + sqrt(7))) + 0).\nAnswer: 24*sqrt(7) + 1184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172843 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24467, -24470, -24473, -24476, -24479, -24482?\n\"Answer: -3*a - 24464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 284, 430, 578, 728, 880?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109077221 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jljl when four letters picked without replacement from jljl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1937 + 6247. List the prime factors of s.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070908 to 6 decimal places.\nAnswer: -0.000709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-6))\/(-5)*3. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11\/4 (b) 52 (c) -3 (d) 45\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 0 + 3*sqrt(1216).\nAnswer: 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3667395 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/(b**2\/b))**(19\/4)*((b*b**(-4))\/b**(2\/5))**45 assuming b is positive.\nAnswer: b**(-5641\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 464 = 2*g. Find the common denominator of (-345)\/(-25)*(-10)\/g and 13*(6 - (-763)\/(-126)).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 61783117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 4*x, -2 + 3 = x + 2*s. Let v be -14*(115\/35 - 3). Put -3, v, x in descending order.\nAnswer: x, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1286, -1286, -1288, -1292, -1298?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*x + 13, 3*x - 3 = -0*b + b. Suppose 19 = 2*s - m, -4*m = x*s - 0*m - 14. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 5*q + 15, 3*a - 7 = -5*q. Put a, 4, -2 in decreasing order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2801, -5645, -8489?\nAnswer: -11333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029507 divided by 43181?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100010 - 11?\nAnswer: 100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(7*j - j - 2*j)*(0 + 1 + 3).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4256377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3149)\/(-329))\/(((-4)\/14)\/(114\/(-57)))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 + 5.1216. What is y rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1424 and 24742.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*d - 25. Let w be 4 - 2\/(0 - -2). Suppose 0 = w*a + 4*p - 6, -3*a - p + 6 = -6*p. What is the least common multiple of a and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, -4.\nAnswer: -4, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 less than 89.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3767073 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 99*q - 3455. Calculate the smallest common multiple of d(35) and 34\/4 - (-1)\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 286, -3, 6 in descending order.\nAnswer: 286, 6, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence peep when four letters picked without replacement from {p: 3, e: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -59.0000092. What is g rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -435657, -871311, -1306965, -1742619?\n\"Answer: -435654*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, z: 2, w: 2, y: 1, h: 1}. Give prob of picking 1 h and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 612960 and 12770.\nAnswer: 612960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4 - 7*i**2*j - 32*i**2*v**3 - 10*i*j*v**3 + i + j - 8*v**3 wrt i.\nAnswer: 12*i**2 - 14*j - 64*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 19 = 4*q - 2*o, -2*q - o = 0. Suppose -1 = -x + 3. Factor x*z**q - 2*z**2 + 0*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2120736*j**2 + 433*j + 1088?\nAnswer: -4241472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.282352ns in days?\nAnswer: 0.000000000000477805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7312500 divided by -1828125\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + -1?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 s when three letters picked without replacement from ndsdspd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. What is the units digit of (w - (-9)\/(-6))*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*f + 4 - 4)*((-1 - 2 + 5)*(3 + 2 - 3) + 6 - 5 + 0 + 3 + 6 - 3) to the form n + k*f and give k.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 474 + -474.17. Put v, 0.2, -5 in decreasing order.\nAnswer: 0.2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/5*(-685)\/36 and 87\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7640 = 3*u, -2*u - 31*n + 27*n = -5098. Does 101 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107\/1411 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuieiijuyuiieiiiu. Give prob of picking 1 u, 1 e, and 2 i.\nAnswer: 72\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -3 + -3 - -1. Put v, 0, -1, 3 in increasing order.\nAnswer: v, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -941577?\nAnswer: -941577.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 1413, 3244, 5807, 9102, 13129, 17888?\nAnswer: 23379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 8*i**2 - i - 4. Determine z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 3732 (c) 1.9 (d) -1\/5 (e) -1.5 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 7*a**6\/24 + 3*a**5\/5 - 25*a**4\/16 - 11*a**3\/6 + 9*a**2\/2 - 2*a - 5. Determine y so that z(y) = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77074?\nAnswer: 2, 89, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(0 + 1 + 3) + (3 - 2 - 2)*(2*p - 2*p - 3*p) - 13765 - 464*p + 13765.\nAnswer: -453*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/3 + 11)*-2*(-3)\/(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 + 7 - (-6 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) 2\/3 (c) 0.7 (d) 2\/153 (e) -0.051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from jjsimiiaasiiiisaisj.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -1491*o**2\/2 + 6*o + 65. Let l be j(6). What is l rounded to the nearest 100?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 27*a - 28. Let l(h) = 2*h**2 - 60. What is o(l(r))?\nAnswer: 54*r**2 - 1648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 10. Let m be l(-8). Let b be 21*(8\/m)\/4. Let t = 13 + b. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - v**2 - 3 + 2*v**2 + 0*v**2. Let l be o(5). Suppose l*n - 7 + 5 = 0. Solve -4*y + n + 11 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 5 (c) -32\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 194\/38 - (-72)\/(-684). Solve -32 = -v*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 4 - -3 - -86) + 60 + (87 - 133)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 7. Let n be ((-16)\/(6\/3))\/p. Let j(t) = t - 1. Let a be j(n). Solve 5*f + 5*w = 50, 0 = a*f + f - 4*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6513 + 11671. Let i = m - 3365. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.6. Let x be 34*3\/30 + -4. Which is the closest to 0? (a) 0.1 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 220 in descending order.\nAnswer: 220, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -213*l**2 + 17*l + 270. Let i be k(-9). List the prime factors of (i\/27)\/((-8)\/12).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -16) + 6 + -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -15*s**2 - 2*s. Let j(t) = -780*t**2 - 105*t. Calculate 2*j(o) - 105*m(o).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/9 (b) 4\/5 (c) 27\/4 (d) -1\/4 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583 is divided by 773.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 796 = 24*b. Let s = b + -185. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 c, and 1 y when four letters picked without replacement from {y: 1, c: 2, x: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - 11*x - 26*x**3 + 0*x.\nAnswer: -22*x**3 - 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -33*v - 1. Suppose u - 14 = -4*q, -5*u + q + 2*q = -1. Let p be x(u). Let t = -78715 + 78647. Is p >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opgdpyp. What is prob of picking 1 y, 1 g, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a7 (base 14) in base 6?\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/3)\/((-5)\/(-30)). Let c = 13 - h. Let b(y) = -y + 143. Let r be b(-4). Calculate the greatest common divisor of r and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a - 0. Suppose a*r - r = 32. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 - 7*n + 51. Let z be b(7). Suppose 5*o = y + 47771 + 10946, z*y + 4 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12583)\/(-113247)*972\/2\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.09971nm in millimeters?\nAnswer: 0.00007409971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2500 + -2499.086. What is q rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 13) in base 5?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12145758 to five dps.\nAnswer: -0.12146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 25 = i, 34 = -4*b - 2*i + 4*i. Which is bigger: -5 or b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = 0, -2*h + 2*x = 3*h - 39. Suppose 0*b + b - 2*b = 0. Suppose -4*z + h*z - 200 = b. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36357 a multiple of 1086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 72?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/7)\/2)\/((-9686)\/(-203) - 48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20)*-1*1 - 4*(3 + (2*sqrt(5))**2 + 1 + (sqrt(15)\/sqrt(3))**2).\nAnswer: -118 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 249047\/38 <= 6554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, -5, -0.07669, -1.6 in decreasing order.\nAnswer: -0.07669, -0.1, -1.6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose -5*p = 3*x - 22, x - 14 = -r*x + p. Find the first derivative of 3*b - 1 - b + x wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427258?\nAnswer: 2, 13, 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:08 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 3*k**2 - 171280*k**3 + 171262*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42971 != 85939\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*10\/((-2)\/(3\/3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -9*s**2 + 28*s**2 - 16*s**2 - 14*s + 2*s = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2552 and 489752.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -18*q**3 + 6*q**2 - 6*q + 7. Let d(f) = -13*f**2 + 7*f + 5. Let b(j) = -30*j**2 + 16*j + 12. Let u(s) = -3*b(s) + 7*d(s). Calculate -6*u(o) - z(o).\nAnswer: 18*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.4 - 38.2. Which is the fourth biggest value? (a) -1\/3 (b) -6907 (c) h (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/15*2965\/1779?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/24112036 and -117\/740.\nAnswer: 4460726660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 16 = -k - k, -4*k = 5*y + 13. Suppose 4*g - k*r - 339 = -0*r, -438 = -5*g - r. Calculate the remainder when g is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20290084?\nAnswer: 2, 491, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 692*c + 17 + 49 - 714*c. Let f be g(3). Which is smaller: f or 21\/43?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 2536032?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.928 bigger than -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:02 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514883979, 514883970, 514883951, 514883916, 514883859, 514883774, 514883655, 514883496?\nAnswer: 514883291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 71.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 x when three letters picked without replacement from {x: 1, c: 1, n: 1, o: 1, z: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeerjjerjerj. What is prob of picking 3 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (5 - 7)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -982.847 - -983. Let x = d + -0.343. Which is the nearest to -0.2? (a) 1 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1003330?\nAnswer: -1003330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 196. What is the tens digit of z(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 = -0*z - t, -2*t - 8 = 0. Let j = 387329\/72 - 5380. Let v = -5\/9 - j. What is the biggest value in v, 1\/10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*v + 14, v + 1 = -2*v + 2*a. Let h(d) = 15*d**3 - d**2 + 3*d - 3. Let j be h(v). Let c = j - 7. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j - 2 + 2)*(3*j + 6*j - 4*j) - 6*j + 3*j**2 + 6*j)*(-4 + 27 - 16).\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2174029 and 15203.\nAnswer: 2174029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2898 - -4324.\nAnswer: 7222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, -429\/25 in decreasing order.\nAnswer: 2, -0.5, -429\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - ((-72872)\/8 + (-6 - 1))?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 - 3*q**2 + 2*q - 4. Let z be s(-3). Suppose l + 0*o = -2*o + 8, -4*l + z = 2*o. 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: Collect the terms in 5 - 43 + 30*x**3 + 13 + 25.\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = m + 3*s, 3*s + 154 = -3*m + 5*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 411117974, 411117975, 411117976?\n\"Answer: q + 411117973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1665440*u**4 - 93*u**2 + 2782*u?\nAnswer: -39970560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + sqrt(240)\/sqrt(80) + 1)**2 - (3 + (sqrt(96)\/sqrt(2) - sqrt(48))*-3).\nAnswer: 10*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0\/1 - (-28)\/16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 52?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62536*b**2 + 62542*b**2 - 187615*b**2 + 62540*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let d(q) be the first derivative of 19*q**3\/3 - q**2\/2 + 193. What is d(c(p))?\nAnswer: 76*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3634*d**2 + 44*d - 283. Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4948051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*129\/165 - (-7)\/(42\/(-24))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, n: 2, d: 1, c: 5, e: 5}. What is prob of sequence ye?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 5*l**2 + l. Let c be y(5). Suppose -2*x + 12 = 2*g, -g = x + 2*g - 4. Let k = x + -7. Solve 10 + k = -c*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -10. Let m(w) = w + 7. Let z be m(r). Let x = z + 10. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249 (base 11) to base 3.\nAnswer: 101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86645 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 + 20840*r\/13 + 20838\/13.\nAnswer: 2*(r + 1)*(r + 10419)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 4*r - 105, c + 58*r = 12439 - 11044 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291803107 to the power of 1\/2, to the nearest integer?\nAnswer: 17082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**3 + 20*w**2 + 6*w - 6. Let s(z) = 10*z**3 - 19*z**2 - 5*z + 5. Let d(l) = 5*h(l) + 6*s(l). What is the third derivative of d(t) wrt t?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and -47.1362426518.\nAnswer: -38.1362426518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 539*f + 39*f**5 - 240*f**3 + 200*f**2 - 43*f**5 - 39*f + 56*f**4 = 0. What is f?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 24 = -3*y. Calculate the least common multiple of 1 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**7\/70 + b**3\/2 + b**2 + 4. Let a(j) be the second derivative of y(j). What is the derivative of a(w) wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*m - 243*m - 233 = -1676. Calculate the remainder when (0 - -1)\/(3\/219) is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/(-20))\/(-4))\/((66306\/6020)\/257)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 60 = -8*i. Let q be (-2 - 1)\/(27\/i + -3). Solve -2*v + 19 = 5*l, 2 = -l - v + q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 41*w**2 + 42*w + 11. Let q be u(-42). Suppose 5595 = q*l - 21905. What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*a**3 + 192*a**3 - 424*a**3.\nAnswer: -27*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111141.\nAnswer: 3, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151462 + -81735. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 18 = -3*b, -60 = -3*b + 4*o - 45 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-9)\/(5 - 4)). Let b = 0.4 - -1.6. What is the closest to 0.1 in b, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**8\/840 + x**5\/60 - 2*x**3\/3 - 2. Let l(h) be the third derivative of k(h). Find the second derivative of l(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 2 - 2 + (1 + 1 - 3)*(0*s + 2*s + 0*s) + 94 - 94 - 3*s + 139*s - 462*s + 118*s)*(1 + 0 - 2)*(-s - 4*s + 6*s) to b*s**2 + w + r*s and give b.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 28 + 2*d - 4*d.\nAnswer: 2*d - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487681 is divided by 487670?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(((-1155)\/40)\/(-11)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 + -150. What is the least common multiple of 45 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 47*p - 1. Let v(s) = 8 - 17 + 9 + s. What is w(v(o))?\nAnswer: 47*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3430*n**5 - 72034*n**4 + 463134*n**3 - 943790*n**2 + 1100*n = 0.\nAnswer: 0, 2\/1715, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1 + (-42)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6358)\/17)\/(-22))\/(-3)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 31 = -4*h, 2*j - 5*j - 3*h - 33 = 0. Let b = -12 - j. List the prime factors of 9\/(-6)*-2 - b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 276700 - -36?\nAnswer: 276736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 27303*h - 873672. What is o(32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9 - -4.1. Which is the nearest to -0.1? (a) 1 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -7, 2, 11, 20, 29?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -31*z**2 + 13*z - 26. Give h(2).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 0*x**2 + 3*x + 5*x**2 + 3*x**2 - 2*x**2. Does 21 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246877 (base 9) to base 13\nAnswer: -5302c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (46 - 17 - (-5 + (4 - -4))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 41956?\nAnswer: 83912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l + 1. Let m be y(3). Suppose -k + 1 = 2*i - 6*k, 4*k - m = -3*i. Solve -8 - 7 = -i*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 3*q + 1 - 8 - 3*q - 3*q + 7*q + 2*q - q + 0*q + (-4*q + 3*q - q)*(0 + 0 - 2).\nAnswer: 7*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -18*l + 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16592260 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.9972 - -33. Round c to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299136 and 5681?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010011001011111111111 (base 2) to base 10.\nAnswer: 15308799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w - 10. Let d be l(0). Let t be (-126)\/d + -13 - 56\/(-90). Determine m, given that 2\/9*m**2 + 0*m - 2\/9*m**5 + 2\/9*m**3 - t*m**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 113101?\nAnswer: -113100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 13*i + 12. Let n be y(12). Let b = 0 + 0. Suppose 142 = 4*o - a - b*a, n = -4*o - 2*a + 136. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 107\/3. Suppose -5*y + u - 60 = 0, 5*y = y - u - 39. Let n be -1 + 4 - y\/(-3). Are w and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 3612520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28663*w + 35683?\nAnswer: 28663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cprgrrgglprpgrlg. What is prob of picking 1 c and 1 g?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 + 7*a**2 - 3*a**2 + 5*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 173 + 177 = 3*l, 0 = 4*l - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/18*(-6 + (15 - 9)). Let k(s) be the third derivative of 0 + 0*s**4 + 9*s**2 + c*s - 2*s**3 - 1\/10*s**5. Find the first derivative of k(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspussqqpsssssssppqu. Give prob of picking 1 s and 2 q.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*-1)\/(sqrt(176)\/sqrt(4) + sqrt(44)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -905*q**3 - 1161*q**2 + 2180*q + 11*q**4 - 65*q**4 + 7493*q**3 - 242 - 5391*q**2 = 0.\nAnswer: 1\/3, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + c27340?\nAnswer: c27340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u - 234 = -38 + 172 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.054074 and -4.9.\nAnswer: 5.1649626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1322, 1366, 1410, 1454?\n\"Answer: 44*v + 1278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 197 in 5, 0, 2\/69?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7631, 61043, 206021, 488351, 953819, 1648211, 2617313?\n\"Answer: 7631*g**3 - 3*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*-3 - -3) + (-19 - -23 - (71 - 30)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/13*(-2)\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -86\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1333 and 3046679.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 12*j - 1. List the prime factors of x(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1466344794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3, 2\/3, -0.046, -1 in increasing order.\nAnswer: -1, -1\/3, -0.046, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-1 - (-1 - -1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 12*s. Let d be v(-12). Let f be d*-5*3\/(-15). Suppose f*c = -2*j + 3*c + 179, 5*c = -5. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/5 or 6.2?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 13.\nAnswer: -190\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1942463?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 3*q + 4*q)*(-9 - 2 + 3)*(-20 - 26 + 16*q + 45) to the form l*q + n*q**2 + y and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(77) + sqrt(77)))\/((1*sqrt(99))\/sqrt(9)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - g + 1. Let t be (-3 - -5) + 1*-1. Let v be q(t). Suppose 17*b + 7 = 2*l + 18*b, 11 = l - 2*b. Put 0, l, -2, v in descending order.\nAnswer: l, 0, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 12*s + 21. Let d(j) = -8*j + 84. Let b be d(12). Let f be w(b). Let p be (8 - 0) + -2 + 1. What is the greatest common factor of f and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -16, -3*i - 2*i = -4*t - 31. Suppose -i*y = -34 - 113. Suppose -3*h = -q - y, 2*q - 11 = -h + q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10304809*m**2 + 21164930*m wrt m?\nAnswer: -20609618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900*x**2 + 1788*x**2 - 923*x**2.\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4702468?\nAnswer: 2, 1175617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 141, 213, 285?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -302227 minus 0.1096?\nAnswer: -302227.1096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1713833 (base 10) to base 12\nAnswer: 6a7975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {v: 2, x: 18}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468) + 1)**2 - (sqrt(468) + 2*sqrt(468)*6 + sqrt(468) + sqrt(468)) - -6*6*(sqrt(468) + 1 - sqrt(468)).\nAnswer: -66*sqrt(13) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106561873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2666 and -1.77642888697.\nAnswer: 2664.22357111303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i + 409. What is z(-42)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, -3, 5, 0 in descending order.\nAnswer: 5, 0.4, 0.3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -q - 60, 3*h + 3*q + 186 - 204 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/9 (b) 1\/9 (c) -10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(300) - 3*(sqrt(300) + -1))**2*6.\nAnswer: -1800*sqrt(3) + 45054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 - 16*x + 16. Is 25 a factor of l(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120212, -480837, -1081900, -1923419, -3005412, -4327897, -5890892?\n\"Answer: -3*d**3 - 120201*d**2 - d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -47*n + 15*n + 26*n. Let l(g) = -14*g. Determine r(l(v)).\nAnswer: 84*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 36\/396389?\nAnswer: 36\/396389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + sqrt(432) + 2)*4 + (sqrt(432) - (2 + sqrt(432)))*-6)**2.\nAnswer: 3840*sqrt(3) + 28048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9378 + 18745 + 102*p - 9369)*(0 + 0 + 2*p).\nAnswer: 204*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than 466347547997?\nAnswer: 466347547997.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4491, -4517, -4543, -4569, -4595?\nAnswer: -4621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654 divided by 327.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -382032631*3\nAnswer: -1146097893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*a + a + 46, -112223*a + 5*q - 47 = -112226*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*x**3 - 373*x - 25*x**3 - 48*x**3 - x**2 - 2 as r*x**3 + w*x**2 + b*x + j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-1 - 0) + 8 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:37 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, c: 6, q: 4, i: 1, n: 2}. Give prob of picking 1 q, 1 r, and 2 n.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -o - 0*u - 2, -5*o - 2 = -u. Suppose -7*n + n + 3120 = o. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3996 - 560. Let z = 5063 - f. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63439 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243443144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -521524 - -2?\nAnswer: -521522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**3 + 26*f**2 - 3*f - 6. Let y(l) = 19*l**3 + 77*l**2 - 11*l - 17. Let h(x) = -17*g(x) + 6*y(x). Factor h(u).\nAnswer: -5*u*(u - 3)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**3 + 17*x - 4. Let z(f) = -7*f**3 + 17*f - 5. Let b(m) = 5*u(m) - 4*z(m). What is the second derivative of b(a) wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.176246 (b) 2\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 13*p**2 + 38*p - 12. Let o be y(11). Let g(a) = 79*a. Let h(n) = 4346*n. Let u(q) = o*g(q) - 3*h(q). Let l(w) = w**2. What is u(l(x))?\nAnswer: -82*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six sevenths of a week in hours?\nAnswer: 2064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600 - 586 - 599 - 547 + 2332 - 5*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k. Let g(v) = 13204329*v + 2. Determine g(f(w)).\nAnswer: -158451948*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = 9*f - 460. Which is greater: 24 or f?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -317398351*a**4 + 68*a**2 - 140774*a wrt a.\nAnswer: -7617560424*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiw when three letters picked without replacement from {h: 1, w: 3, i: 11, s: 2, p: 2}.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 8*a + 2*a**2 - 18*a + 28*a to d*a**3 + i + u*a + f*a**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.21 + -19.259. Let h = d - -0.049. What is the nearest to h in -2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-30))\/((40\/8)\/15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 2:25 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1047423038 - 331.\nAnswer: -1047423369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -275751, -551494, -827231, -1102962, -1378687, -1654406?\n\"Answer: 3*w**2 - 275752*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*x - 4*q + 21, -726*x - 2*q + 438 = -671*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coo when three letters picked without replacement from {f: 2, o: 2, p: 1, k: 1, c: 1, t: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/(-70))\/(3128\/(-230))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 u when four letters picked without replacement from vvvsmvvvssvvmsumvuv.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1084 and 227.84.\nAnswer: -246978.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 135627129 to the power of 1\/2, to the nearest integer?\nAnswer: 11646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214 + 303434?\nAnswer: 303220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70 + 70 + 15*k)*(1 - 16 + 3) to the form h*k + l and give h.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cscccccccccccccccc. Give prob of picking 3 c.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14796556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o - 76*o = 360. Calculate the greatest common factor of o and 2060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-4 + 22\/6). Let o(n) = -5*n. Give o(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y*y**(-1\/4)*y)\/y))**18*((y**3*y)\/y)**(3\/2) assuming y is positive.\nAnswer: y**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*k = 79765 - 70775 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 - 1 = -2*j, -4*q = -j + 16. Let t(m) = -m + 9. Let f be t(6). Does 14 divide (-63)\/f*q\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12354 - -12354.13. What is the second biggest value in i, 1\/13, 3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2 - 0. Let s = -46 - -46. Suppose 43*h - 40*h - 3 = s. Solve -y = -m - 2, -v*y = 2*y - m + h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(0*w - 2*w - w) + (3 - 3 - 1)*((30 - 30 + 25)*(-2*w - 3*w + 7*w) - 1 + 3*w + 1)*(0 + 7 - 1).\nAnswer: -321*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 24?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*w - 72407, 0 = -4*w - 390 + 394. List the prime factors of j.\nAnswer: 3, 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 9, 27, 2\/3, 1\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78665127 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5 - 2*j - 2*j**5 - 5*j**5 + 4*j wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30313103 (base 4) to base 3.\nAnswer: -2200021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 5. Let d = o - 3. Calculate the common denominator of 49\/12 and d + 118\/44 + 2.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 3}. What is prob of sequence zi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38539 is divided by 150?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3643, 5521, 7411, 9319, 11251, 13213, 15211, 17251?\nAnswer: 19339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 543195 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfgtgftgtggttxxxgttg. Give prob of picking 1 v and 1 g.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 250282 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/12 + 7*o. Let v(x) = -x + 5. Let i(d) be the first derivative of d - 9. Let c(f) = -15*i(f) + 3*v(f). What is b(c(u))?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = -4*d. List the prime factors of d\/(10\/(-635))*(-4)\/2.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 2*t - 5 - 5 + 4 + 4. Let i(u) = 3*u. What is p(i(k))?\nAnswer: -12*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-40) + 87\/180. Let r(a) be the second derivative of 9*a - 5\/2*a**2 + c*a**4 + 0 + 0*a**3. What is the derivative of r(n) wrt n?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8806872ug in tonnes?\nAnswer: 0.0000000000008806872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 6*s**2 + 5*s**2 - 2*s. Let i(f) = f + 1. Let l(u) = -22*u**2 + 66*u + 66. Let m(k) = -66*i(k) + l(k). Determine m(a(t)).\nAnswer: -22*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y + 30. Let t = y + 73. Suppose 0*x + t = 2*x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 664.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1473980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 take away -0.033?\nAnswer: -32.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 4*b + 0*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123059763?\nAnswer: 3, 877, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/8 and -29\/79825172?\nAnswer: 159650344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/24 and 41\/1965.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -92098 rounded to the nearest one thousand?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 4*x - 4*x + 5*x in the form z + m*x and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 13*f - 34. Let n be s(-11). Suppose 62*z + 126 = n*z. What is the greatest common factor of 105 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y + 7. Calculate the greatest common factor of 35 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + -43.96. Let z = -105 - h. Let f = -67 - z. Which is the third biggest value? (a) -0.1 (b) -3\/2 (c) f (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/47 (c) 0.02 (d) -4 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -642 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*r + 7381 = 146*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j - 1. Let q(x) = -9*x**2 + x + 1. Determine q(t) - 2*w(t).\nAnswer: -11*t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*k - 666 = -3168 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*j + 395 = 0, -2*j - 305 = -a - 2*a. Let l = a + -19. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.91 + -41.85. What is the third biggest value in v, -0.2, 3\/5, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60837 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*i**3 - 25*i**3 + 48*i**3 - 16*i**3 + 36*i**3.\nAnswer: 85*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*c + 8129 + 2983 = -337*c + 65*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w + 4*w + 2*w. Let y(h) = -3*h**2 + 39*h + 4*h**2 - 39*h. What is y(k(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 + 219 + 7076*z.\nAnswer: 7076*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 1463 = -243*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1782 - -1785. Solve 0 = x*f + 23 - 26 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 - -0.82. Do -2\/3 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus 174?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 21*l**2 - 2*l + 1. Suppose 0 = 11*d - 12*d + 1. Let x be w(d). Solve -6*a - x = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9791 + -6300. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 2*n**2 - 310*n + 2411. Determine g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 4 (c) 12\/13 (d) 0.4 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1681 + 3009. List the prime factors of s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10318352 divided by 5098?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -13 + (-13)\/(-78) + (-65)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 731312 or 731314?\nAnswer: 731312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 18, -16, -50, -84?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105025309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*a**2 - 8 + 10)*(2 - 2 - 7*a).\nAnswer: 21*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000188656669 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699 - 699 - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3531 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4992*r - 4594*r - 1194 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 3:26 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3 + 7*h**2*u**3 - 2*h**2 + 74*h*u**3 + h wrt h?\nAnswer: 18*h + 14*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*p**3 + p + 29*p**3 - 15*p**2 + 3*p**4 + 5*p**2 wrt p?\nAnswer: 72*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (-3 + -5 + -9 + 23).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 13937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/4 + 2\/(-16)*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 8 + 4. Let m(l) = l**2 + 0 - 5 - 166*l + 7 + 173*l. Determine m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 10. Let s be u(7). Let c = -2 + s. Let t = 5 - 1. Solve -c*z = 3*w + 2*w + 2, -4*w - 4*z = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -23*t - 1. Let v be c(-4). Let a = 51 - v. Let w = -10 - a. Is w greater than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6958917.914709 - -6958921. Let l = h - 3.084. Round l to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4*(-20)\/(-35). Suppose -u*l = 7 - 75. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5*k - k**3 + 5*k)*(2*k - 2*k + k)*(1 + 0 - 3)*(4 - 4 - 11*k).\nAnswer: -22*k**5 + 110*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (-2 + (3 + ((sqrt(28) + sqrt(112))*-1 - sqrt(28))\/(-1*sqrt(256)))*6)**2).\nAnswer: 288*sqrt(7) + 957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165903 times 4?\nAnswer: 663612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 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: Solve 4*l - 12 = -3*h + 7*l, -3*h = -2*l - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1) - 2\/(-2). Let v be 1 + b\/(9\/6). Suppose 5*a = -v*s + 102, -s + 86 = 5*a - 2*s. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1834 and -4 - (5 + (-804)\/84).\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32997096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Let m = 12344.25 - 12345. Let n = m - u. Round n to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/73080 and 125\/72?\nAnswer: 73080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.4722892 + -9.4722954. Let x = z + -43. What is x rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565700.\nAnswer: 2, 5, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4*f - 1 + 5*f + (-4*f - 4 + 4)*(-1 + 0 + 2).\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*q + 504 + 590, -4*q + 1076 = -4*p. Suppose 3*g + 246 = 1398. Let b = p + g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(15)\/(sqrt(3) - (sqrt(3) - -2*sqrt(3)))) + (sqrt(19) + sqrt(475) + 1)*-1)**2.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -352328*i*r**2 + i*r - 2*i + r**2 + 649650 wrt r?\nAnswer: -704656*i*r + i + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 - 6.71. Let p = 1.71 + g. Let l = 1.5 - p. Are -3 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + 45. Let l = -24 - -35. Calculate the highest common divisor of u and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(4*sqrt(4)\/sqrt(2)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000103003572 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 33\/6)*-2. Let g = 20 + v. Let i(n) = 3*n**2 - 2 - g*n + n**3 + 0*n**3 + 9*n. Calculate i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -630672*m**2 + 127050*m.\nAnswer: -1261344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = n + 3*d - 17, -4*n + d - 16 = 0. Let t = 93 - 97. What is the closest to 1\/2 in t, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2515 (base 6) to base 4.\nAnswer: 21233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-13)\/(-156))\/((-11)\/6*1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*x - 38. Let q(a) be the second derivative of 0*a**2 - a + 0*a**x + 0*a**6 + 1\/10*a**5 + 0 - 1\/9*a**4 - 1\/63*a**7. What is z in q(z) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8181790 and 690?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -22) + 3 + 1 + -13 + 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqezeqqqz. What is prob of sequence ze?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10634362 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 366 = k. Calculate the greatest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.04+-564\nAnswer: -560.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 39. Suppose 4*d + 6*k - t = 3*k, -d - 1 = -2*k. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1251*t - 1250*t = -48, 276*z + 374 = -2*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*((-1*sqrt(2)*-5 + sqrt(2) - (-3 + sqrt(2)*-1 - sqrt(2))) + (-1 + (-1*sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(242)*1)))**2.\nAnswer: -256*sqrt(2) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 0*w + 2*w)*(-39 + 25*w + 39)*(3*w + 8*w - 4*w)*(-2*w + w + 4*w).\nAnswer: -2625*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 18\/16*-10 + (3780\/(-5))\/(-84)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13571074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 0 - 3*x + 7\/2*x**2 + 1\/6*x**3. Let b be u(-5). Solve 0 = -y + 4*v, -4*y - 4 = -b*y - 4*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.295 - -1.895. What is the second smallest value in i, -1, 0.4, 0, 4.47?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 10*c**2 - c + 7. Suppose -3*s = 4*h - 30, s = -3*s + 2*h + 40. Let g be i(s). Let t be 18750\/(1\/192*g). Round t to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 380*v**2 - 39855*v - 4720. Give n(105).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 843631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -74006.2 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21376.2 and 0.003.\nAnswer: -21376.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**5\/10 - 25*t**4\/12 - 13*t**3\/2 + 40*t. Let m(z) be the second derivative of j(z). Differentiate m(v) with respect to v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/((-1824)\/240)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.72 and 14?\nAnswer: 13.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47906472, 47906475, 47906478, 47906481, 47906484, 47906487?\n\"Answer: 3*y + 47906469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - 22. Let l(f) = 389*f - 36. Calculate l(h(o)).\nAnswer: 1556*o**2 - 8594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - v**2 - 2*v - 1. Let k be y(-2). Find the third derivative of 22*c**3 - 50*c**3 + k*c**3 - 3*c**2 wrt c.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4857\/8 + -611. Find the common denominator of u and 70\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 256 + -264 - 1\/1*-6. Let o(b) = 29*b + 30. Determine o(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -0.3 (c) 3.3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1021*h + 93. Is n(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, -240, -652, -1026, -1350?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -395, -594, -793, -992?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1354.93*-3.\nAnswer: 4064.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {i: 1, s: 4, e: 6, p: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -111?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9))**(1\/8)\/(f**(-3\/8))**(-2\/3))**(-39) assuming f is positive.\nAnswer: f**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 14 (b) 3 (c) 361 (d) 0.7 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135880042 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 18 = 17*w. Suppose -4*j - 11 = 6*u - 5*u, -4*u = -w*j - 51. Suppose -3*q = -2*z - 7, 5*q - z - 2 = 12. Solve 0 = q*l - u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 249 + -245. Let m = -0.2 - -0.3. Let n = m - 0.1. What is the second biggest value in j, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4850 + -4661. What is the second biggest value in 4, -1\/5, 2, i, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i + 1. Let g(d) = 20*d - 3. Let m(w) = -59*w + 9. Let r(z) = -17*g(z) - 6*m(z). Give 6*r(p) + 17*v(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335228 (base 11) to base 9.\nAnswer: 1003456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 96\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 70. What is the fourth biggest value in 0.3, j, -0.3, -2.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47\/48 - -233\/48. Let j = b - 16\/3. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 554*u**3 + 495*u**3 - 277*u**3.\nAnswer: 772*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111526585 a multiple of 3964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inrniniiirrii. What is prob of picking 3 i?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-4\/5)*i)\/i**(-1\/5))\/(i*i**(-1\/5))**(-2\/111))**(1\/26) assuming i is positive.\nAnswer: i**(1673\/14430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(10) - (3*sqrt(20)\/sqrt(2) - sqrt(10)))\/(sqrt(126)\/sqrt(7)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*q + 1532 = 706*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21025 - -25305?\nAnswer: 50334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 26*p + 13*p)*(0 + 4 - 1) in the form y + v*p and give v.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 2. Let j(d) = -12 + 7 + 6. Let g(h) = -46*h + 408. Let f be g(9). Give f*j(z) - a(z).\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 476 + -333. Calculate the remainder when u is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692817331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -29 - -8 - -9 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 2*x + x)*(-31*x + 643*x + 1715*x) - x**2 - 2*x**2 + 2*x**2 + (-5*x + 5*x - x**2)*(3 - 1 - 1) to the form n + k*x + g*x**2 and give g.\nAnswer: 2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 1\/4, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1686 + -0.17. What is x rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6085, -7685, -10361, -14119, -18965, -24905, -31945?\nAnswer: -40091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75372844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + u)*(4 - 3 - 2)*(u**4 + 2*u**3 - 2*u**3).\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnjnrnbrnrj. Give prob of picking 1 r and 2 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 190782203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 25*h**6\/12 + 47*h**4\/24 - h**3\/2 + 447*h**2. What is the second derivative of n(b) wrt b?\nAnswer: 1500*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105760879 to the power of 1\/2, to the nearest integer?\nAnswer: 10284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106611*j**2 + 2388*j**3 + 106611*j**2)*(-j + 7 - 4 - 2).\nAnswer: -2388*j**4 + 2388*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.95 - 0.949939. Round s to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207410\/175*(3 + 7)?\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3447 + 4287. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 3*h**2 + 3*h + 10. Let t be b(5). Suppose 3*p - 5*n + 22 - 1 = 0, 12 = -2*n. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(4752)*-2)\/sqrt(3) + -1)**2.\nAnswer: -576*sqrt(11) + 19056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 121.3, -5, -3\/40?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -105063863 less than 0.1?\nAnswer: 105063863.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 43*p**5\/20 - 113*p**4\/12 - 3*p - 4. What is the third derivative of m(v) wrt v?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**3\/6 - 3*s**2\/2 - 5*s. Let z(g) = -3*g + 13. Let l(n) = n - 5. Let p(w) = -8*l(w) - 3*z(w). What is m(c) + 3*p(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 588787?\nAnswer: -765423.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 6. Let y = -0.03 + 2.03. Let d = y + 0. What is the third smallest value in 2\/3, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26018206 is divided by 2518.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1446)\/2410*(-1495030)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -96, -173, -236, -279, -296?\n\"Answer: r**3 + r**2 - 87*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b + 28 = 0. Let k be b\/42 + (-15)\/18. Let l be 5*8\/(-4160)*-1. Is l > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74800 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2433, 5000, 7645, 10368, 13169, 16048, 19005?\nAnswer: 22040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26591 and -0.1.\nAnswer: -26591.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 131400 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21823 (base 9) in base 4?\nAnswer: -3202320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-12)\/(-160))\/((-1404)\/(-585))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 22 = -13. Let o = 131 - j. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115365 (base 9) in base 7?\nAnswer: -406535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2782*v**5 + v**3 + 36*v**2 - v - 32. Let w(s) = -s**3 - 16*s**2 + s. Let b(m) = -w(m) - x(m). Find the third derivative of b(a) wrt a.\nAnswer: 166920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 12. Let r(m) = m + 4 + 2 + 0 + m**2 - 4. What is the remainder when p(8) is divided by r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9861 and -67\/69027.\nAnswer: 69027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3.9. Let j = 0.07 - r. Let h = 0.13 + j. Are -2 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -10963.\nAnswer: -29\/10963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17252167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-33)\/6 + (-8 - -14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 17*l**2 - 5. Let s(c) = c**3 - 42*c**2 - 457*c - 103. Let q be s(51). Let w(h) = -h**2 - 1. Give q*f(i) + 5*w(i).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123699684 to the power of 1\/2, to the nearest integer?\nAnswer: 33522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + (sqrt(2299) + -3*(sqrt(2299) - (sqrt(2299) + 0)))*5*2)*5 + 4)**2.\nAnswer: 9900*sqrt(19) + 5747581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 62 (b) 0.1 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(2\/3))\/(a\/(a\/(a\/((a*a**(-7))\/a)))*a))\/(a**(-2)*a**(-9)) assuming a is positive.\nAnswer: a**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y**2 + 100*y + 236. Let f be d(-2). Let -6\/13*s**3 + 2\/13*s**f - 10\/13*s + 0 - 18\/13*s**2 = 0. Calculate s.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1.2. What is the smallest value in 1.3, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2607 and 39579.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p = -702 + 3651 - 453 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(6)\/sqrt(2) - sqrt(3)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-2 - -3)\/1. What is the closest to z in 0.2, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50731 + 48630218.\nAnswer: 48680949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -60 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let n(i) = -987*i. What is n(o(m))?\nAnswer: 1974*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487218237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - o**3 - o**3)*(6*o - 6*o - 2*o + (o + 3*o - 10*o)*(-13 + 9 - 8)).\nAnswer: -210*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21438 and -0.4.\nAnswer: 21437.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1579005.856 to the nearest ten thousand.\nAnswer: 1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 1799?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18784 + 19540. What is the greatest common factor of 532 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 112. Let r be u(-36). Solve r*h = 5*h - 1, 5*h = d + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 309 + -310. Let w = 8070\/13 - 624. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*p + 28, 3*d + 148982*p + 20 = 148984*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**3 - 4360*n**2 + 8740*n = 0.\nAnswer: -874, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 15*n - 4*i + 62 = 6*n, 0 = 4*n - i - 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*f - 6*f. Suppose -3*o = -o + f*o. Suppose m + 0*m = 5. Solve z + m - 2 = o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*(7 - (-17)\/(-2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 7613.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1027029 + 7045529. What is d rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3404 - -3412. Solve 0*u + 8*u - x = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2)\/(5\/50). Suppose o*x - 23*x - 21 = 0. Solve x*q - 12 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2\/45, -14\/3, -1, 44?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1643 + 3527. Let q = b - 1107. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkktktkttautttkkta. Give prob of picking 2 k and 1 t.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, -565, -1, 0, 1, 3 in decreasing order.\nAnswer: 135, 3, 1, 0, -1, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 1. Let c(l) = -l**2 + 19*l + 113. Let s(b) = c(b) + 2*y(b). Let x be s(-10). Solve x*i + 30 = 15*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221737778.\nAnswer: 2, 1307, 84827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 620540?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(1\/3)*u)*u)**21\/((u\/u**(-1\/3))\/u*u**(-4\/7)))\/((u**2\/u)**6)**(3\/11) assuming u is positive.\nAnswer: u**(-1940\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 52*g = 23*g + 803 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 4*z + 0*z)*(40716*z - 20364*z - 1 + 125*z**3 - 20358*z) as a*z + l + u*z**2 + f*z**3 + t*z**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) 18 (c) -0.1 (d) -2\/33 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)\/(z\/z**(1\/7)))**21 assuming z is positive.\nAnswer: z**(-249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5 and 127\/16480?\nAnswer: 16480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001566*8.\nAnswer: 0.012528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, r: 16}. Give prob of sequence rcr.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 909 and 1010.\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-3*v + 0*v + 0*v) + 3*v - v - 3*v - 2*v + v - v - 1 + 1 + 2*v + (0*v + 0*v + v)*(1 - 3 + 5).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 12735.\nAnswer: 63675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3351*v**2 + 2330. Let g(d) = d. What is i(g(y))?\nAnswer: -3351*y**2 + 2330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) 147\/11 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2155 and -0.8.\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 16 + 96*d**2 + 2656*d**3 + 42 - 2654*d**3.\nAnswer: 2*d**3 + 96*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2627 (base 9) in base 2?\nAnswer: 11110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227 + 230. Factor 6*w**3 - t*w**3 - 5*w**2 - 4*w**3 - 4*w**3.\nAnswer: -5*w**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*v - 142*v - 423*v to the form u*v + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 37*15.395\nAnswer: 569.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -40) + (0 + -1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -3*g**4\/8 + 5*g**2\/2 + 5*g. Let r(n) be the first derivative of l(n). Let z(p) = -p**2. Determine r(z(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22386*r**2 - 22395*r**2 + 44763*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/2? (a) 0.3 (b) 2\/41 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 16321.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*c + 1, -11*c + 4*s + 23 = -16*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 1512495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let q be 18\/8 + x\/8. Suppose 3*r + 4*f = 20, 3*f - q - 8 = -r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*p + 1 + (3 - 2*p - 3)*(0 - 2 - 1) - p - p + 0*p - 2*p + 0*p + p + (2 + 0 + 0)*(p + 1 - 1) - p - 3*p + 5*p - 7 + 4*p + 7 + 2 - 2*p - 2.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 635*j - 130*j + 2409*j + 40796 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10202 (base 3) to base 6\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 351\/45)\/((128\/38)\/(-16))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.51 and -4.2?\nAnswer: -2.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**8\/1176 - 2*o**7\/245 + o**6\/30 - 8*o**5\/105 + 3*o**4\/28 - 2*o**3\/21 - 114*o**2. Factor r(d).\nAnswer: 2*(d - 2)*(d - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.513 - 7.813. What is the nearest to -0.2 in x, 1, -0.046?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 7 = 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 805185 and 5.\nAnswer: 4025925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 - 4*u**2 + 0*u**2)*(-4*u - 3*u - 4*u)*(-9*u - 8 + 8) as l*u**2 + t + h*u + c*u**4 + s*u**3 and give c.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 678522*o + 678516*o - 11*o**2 + 33*o**2 - 1357038*o + 3.\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -9 + 2*j**2 + 13*j - 16*j - 4*j**2. Let f(y) = 5*y + 1. Let n(l) = 1. Let h(z) = f(z) + 2*n(z). Calculate 3*h(a) + 4*k(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 16. Let u be g(10). Calculate the smallest common multiple of (0 - -22)*(u - -15) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:28 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3409103 to the nearest integer?\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36484642 to the nearest integer?\nAnswer: 6040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (75\/(-30) - -4)\/(3\/(-8)). Sort f, 2, -3 in increasing order.\nAnswer: f, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/3, -2\/7, 15355, 4, 0 in decreasing order.\nAnswer: 15355, 4, 2\/3, 0, -1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 j when four letters picked without replacement from jwmmwjwmjwjjj.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000142063334 to 7 decimal places.\nAnswer: -0.0001421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(245)*1 + sqrt(245))*-1) + 0.\nAnswer: -42*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Let n be k\/(-3)*(-12 + 0). Solve 0 = -2*a + 3*v + n, -a + 6*a - v = 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7005 + 7003. Let c(q) = -8*q - 6. Let p(o) = -17*o - 11. Calculate d*p(z) + 5*c(z).\nAnswer: -6*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z + 30 = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/7)*p)\/(p*p*p**(4\/7)*p*p))\/((p\/(p*p\/(p*p*p**3*p)*p))\/(p\/(p**(-1)\/p))) assuming p is positive.\nAnswer: p**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/15 + 13\/5. Find the third derivative of -n**3 - n**2 - y*n**3 - 3*n**2 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98.1751 + -0.0242.\nAnswer: 98.1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99281*w + 99297*w - 80 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 125179724*j.\nAnswer: 4*j*(j + 31294931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 12. Let d be j(-7). Solve -2*u + h + 13 = -6*u, -2*u = -4*h + d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -2\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -163846?\nAnswer: 4\/81923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/16 and 7\/1216.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 983. Let p(j) = -45*j**2. Calculate p(d(b)).\nAnswer: -45*b**2 - 88470*b - 43483005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - 9) - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (2\/(-7) - 36676\/(-3710)))\/((-3)\/(-15)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 65. Suppose -m - 3 = -l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 28*m + 25. Let u be n(-3). Let k = 67 + u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*-3*((sqrt(1088) + -5 + (sqrt(1088) - (1*sqrt(1088) - sqrt(1088))))*-6 + -2))**2.\nAnswer: -8502624 + 290304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(-75)*-51)\/(2\/(-20))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2688)\/(-1274))\/(-16))\/((-114)\/(-266)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/4, 7, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 18. Suppose -4*f + 3*n = -2*f - b, 0 = 3*f - 2*n - 4. Solve f*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 862.\nAnswer: 7758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u*w + 721776*u - 3922225*w with respect to u.\nAnswer: 2*w + 721776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1904, -3808, -5712, -7616?\n\"Answer: -1904*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:10 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 575969\nAnswer: 3\/575969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 5*a**2 - 12*a - 3. Determine q(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/120 + 7*i**5\/30 - 5*i**4\/8 + 8*i**3\/3 - 4*i**2. Let k be h(13). What is the tens digit of (-2)\/4 + (-195)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 76. Let j(w) = w**2 + 8*w + 10. Let x be j(u). What is the highest common divisor of 175 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 110\/(-6) - (-9)\/27. Let o = 42 - 46. What is the hundreds digit of (-719)\/o - c\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35112\/190)\/((-154)\/(-110))?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pko when three letters picked without replacement from cccknocpo.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {g: 1, z: 2, k: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-6)*d*(d*(d*d**3)\/d)\/d)\/(d**(-5\/6)\/d**(1\/11)))**(-49) assuming d is positive.\nAnswer: d**(245\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 bigger than 243662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152397 and 7175?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 + 29*n**2 + 4*n + 10. Let c be w(-7). Which is smaller: 223\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1371 divided by 3.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 4*y + 3, 5*y = -5*g - 420 + 435 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*p - 2*v = 0, -3*p + 35 = -4*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100694*r + 201378*r - 5*r**2 - 9 - 100684*r.\nAnswer: -5*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -0*x. Let b = 12 + x. Suppose -1 - b = -o. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*z - 5*l + 15, -5*z + 20 = 5*l. Let u(k) be the third derivative of 0*k + 1\/8*k**4 + 0*k**z + 0 + 12*k**2. Let b(y) = 2*y**2. Calculate u(b(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-14)\/(-7)*(-12)\/(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67244, -134529, -201840, -269177, -336540, -403929, -471344?\nAnswer: -538785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16734 + 4\nAnswer: -16730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23112\/(-14124))\/((-31)\/11 + 1).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) - 69\/(-54)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*v - 1 = 0, -l - v - 4*v = -15. Suppose -2*k - 20 = -7*k, -2950008 = -l*o - 2*k. What is o rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18255*f**4 + 5*f**2*s**3 - 66*f*s**3 + 3*f*s**2 + f*s - 32*s**2 wrt f.\nAnswer: -219060*f**2 + 10*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 11 - 6\/2. Suppose 0 = -a*i - 3*m + 54, 111 = 5*i + 4*m + 24. Let r = 19 - i. Solve 2*v - r*p = 2, 2*v - 2*p - 2 = 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 10*y**2 + 4*y**3 + 6*y - 7*y + y**3 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:30 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10060 is divided by 914.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 4 - (-5 + 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22840 and 10350?\nAnswer: 23639400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4395000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 2 (c) -9\/13 (d) 8 (e) 3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/45)\/f)\/f*f\/f**(-7\/3)*f*f)**39 assuming f is positive.\nAnswer: f**(1924\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 8*q + 10. Let w be l(-7). Suppose -2 = 5*f + w. Put f, -5, 2 in increasing order.\nAnswer: -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-400)\/675*((-3)\/(-2))\/(-1)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 8:55 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60451, -120900, -181345, -241786?\n\"Answer: 2*d**2 - 60455*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m**2 + 3*m + 5. Let i(d) = 13*d**2 - 3*d - 5. Determine -7*i(a) - 6*t(a).\nAnswer: -a**2 + 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 - 5*m**2 + 8*m + 74. Let a(u) = u**3 - u**2 - u - 4. Let n(o) = -20*a(o) - 4*r(o). Factor n(q).\nAnswer: -4*(q - 9)*(q - 3)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -966823 from -821202.\nAnswer: 145621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 6 - 5 - 2*p - 14 to the form s*p + j and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/330096 and 67\/312?\nAnswer: 330096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 + 3*m + 2. Let k = -678 - -400. Let b = k - -281. Calculate j(b).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(864)*2)\/(sqrt(12)*-1*-6)*3*2*-1 + -2.\nAnswer: -13*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34081048, 34081047, 34081046?\nAnswer: 34081045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 14. Let x(u) = 4*u - 7 + 6*u**2 + 40*u**3 + 0*u - 41*u**3. Calculate the remainder when x(4) is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-96) - ((-3)\/(-5))\/((-24)\/(-30)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u + 18*u + 1015. Let j = -5 - -38. Let h = u + j. Solve -h*b = p - 8, -3 = 2*p - 2*b + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 213, 0, 1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**6\/120 + 3*y**5\/20 - 5*y**4\/24 - y**3\/2 + 11*y**2\/8 + 2*y - 2. Determine a so that f(a) = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-3)\/6)\/((-2)\/10))\/(11\/(-1034)). Let x(r) = -4*r**2 + 8*r + 16. Let n be x(9). Which is bigger: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.7 minus -5?\nAnswer: 116.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*w - 158, -2*w - 2 + 0 = 0. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -30.976. What is v rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1075, 2507, 8479, 16841, 27593, 40735?\nAnswer: 56267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 - 3\/12. Suppose g = 3*w - 4*j - 47, -6*w - 5*j = -2*w - 42. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39262?\nAnswer: 2, 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10842566 divided by 5421283?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32205 + 193729\/6. Let r = -83 + h. Let w = -0.03 - -0.03. What is the closest to w in -4, 4\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 7}. What is prob of sequence iii?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463663987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 4*y - 26*y)*(2*y - 2*y + 2*y + 2 - 2*y - 2 - y - 2*y + 5*y + (4 + 4 - 6)*(-2*y + 4*y + 0*y) + 4*y + 0 + 0) as q + l*y + b*y**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4440 - -6273. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450*x + 5*x**2 - 20*x**2 + 2900*x - 1450*x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 456109829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3\/50 (b) 14 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 7*d + 10. Let b(h) = 1. Let x(c) = 6*b(c) - k(c). Let r be x(-6). Solve -z = -3*i - 12, i + 0*z - r*z + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6564 and 112205563?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20196907469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k**2. Let n(w) be the second derivative of -w**3\/6 - 12*w. Determine b(n(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 j when three letters picked without replacement from jjxxx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16448854 + -206527.\nAnswer: -16655381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8501*w. Let u(p) = -5*p**2. What is g(u(f))?\nAnswer: 42505*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22937.\nAnswer: 22937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.096.\nAnswer: -0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-6)\/(-4))*0. Suppose 19*t - 100 + 24 = 0. Solve -d + 2*d - t = l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 218.2 - 244. Let c = z + 26. Sort 5, 0.5, c.\nAnswer: c, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14684038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-77 + -4 + (-1 - (-7 - 1 - -5))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab65 (base 14) to base 9.\nAnswer: -113367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17637*p - 604045 - 539611 + 297080 = 0 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/20 + y**4\/6 + 5*y**2\/2 - 310*y - 2. Give o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666 (base 11) to base 5\nAnswer: 11143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*g + (3*g + 1 - g + g)*(4 - 5 - 1 - 4 - 2 + 2 + (1 - 2 + 3)*(-1 - 2 + 1)).\nAnswer: -27*g - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 8) + -24 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(38)\/sqrt(2) + 3) + sqrt(171)\/(4*sqrt(900) + sqrt(900)))*3)**2.\nAnswer: 1377*sqrt(19)\/25 + 647271\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13952861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/sqrt(4)*3)\/(-5*(sqrt(7)*-4 - sqrt(7) - sqrt(7))) + -1.\nAnswer: -1 + sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1144.7630013 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 17 - (-3 + -11 - -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -1277, -1928, -2579, -3230, -3881?\nAnswer: -4532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-4))\/(185\/(-37))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-67)\/7 - 6\/14. Let g be (2 - 1) + -1 + i. Let o(p) = -p**2 - 10*p + 2. Let f be o(g). Solve 7*j - f*j - 15 = 0, 5*x = 5*j + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) -0.1 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 2 - 2 + (3*i + 2*i - 2*i)*(1 + 0 + 1) + 4 - 4 + i to the form x*i + m and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*((-2 + sqrt(500))**2*1 + 1 + (sqrt(500) + 3*sqrt(500))**2).\nAnswer: -51030 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 4*y - 72776*y**2 - 72777*y**2 + 145578*y**2.\nAnswer: 25*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.0582855\nAnswer: -0.582855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1670091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:23 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3 - 4\/3*c + 0*c**2 - 2\/3*c**4 + 4\/3*c**3 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/3 of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = 3. Find u, given that 12 + u - 1 - 8 + 5*u + p*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -3.9. Let o = 0.2 + x. Let k = -26 + 24. Is o != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-110))\/((-42)\/4*(-83)\/(-5810))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwkwowkkocrrwrwk. What is prob of sequence wr?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11795, 190, -5 in descending order.\nAnswer: 11795, 190, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 25 = -6*g. Let l(p) = 2*p - 5. Let f(q) = 2*q - 5. Let d(k) = -5*f(k) + 4*l(k). Determine d(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5.1. Let p = -0.2 + b. What is the smallest value in p, -3, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghjt when four letters picked without replacement from ouuhgoututhjgg.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65488611701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90.6 - -93.497. Round k to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cb7 - -6ca?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 880301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 520 + 2660. What is the common denominator of p\/(-12)*(-20)\/50 and -21\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 41808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 - ((-165)\/275 + 97\/(-5)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r + 9*r + (-5 + 2*r + 5)*(6 - 1 - 3).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let o(r) = -31763463*r. Calculate x(o(i)).\nAnswer: 31763463*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21119999 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 + 9*n - 14. What is the remainder when 264 is divided by s(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 20*x**2 + 39*x. Let s(c) = -7*c**2 - 13*c. Calculate 6*g(o) + 17*s(o).\nAnswer: o**2 + 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 50 - 2*h**4 + 23 + 2*h**2 - 2*h**3 - 77 in the form z*h**3 + i*h + x*h**2 + q + s*h**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124? (a) 183 (b) 0.2 (c) 10 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41119779 is divided by 102288.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.231591 rounded to 3 dps?\nAnswer: 1.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*v + 872*v + 643*v - 1638 = 267*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**3 + 113*v**2 + 10*v - 55. Determine n(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a76f (base 16) to base 7.\nAnswer: 15030242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/532*805)\/((-55)\/132*9)\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -45. Let f = -19 + k. Let r = f + 34.66. Round r to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 206 and 738713.\nAnswer: 738919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -18 (b) -16 (c) 1\/6 (d) -2\/27 (e) -0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y = -106*y + 39*y + 8037 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-1)\/2*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-665))\/(16\/20)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29537088)\/128*(-8)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16352 or -16351?\nAnswer: -16351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from rriixiiklhri.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/63, 2\/7, 5, 65, 1\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cceg when four letters picked without replacement from cgec.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5951439.\nAnswer: 3, 13, 50867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6260004 to the power of 1\/2, to the nearest integer?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (4 + sqrt(108))**2)*2.\nAnswer: -248 - 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 380905 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -4\/5, -0.2, 0.19, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -24 + 224. Let h = 1025\/7 + -146. Find the common denominator of h and 1\/(-2) + 55\/r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 288 + -132. Let g = n + -161. Put g, 6, 5 in decreasing order.\nAnswer: 6, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 - 361885*v + 32890130 = 0. What is v?\nAnswer: 91, 72286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.073, 0.2, 4, -39\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z. Suppose 5*i - i + 16 = 0. Let x = -16 + 21. Let k(v) = 7*v. Determine i*k(u) + x*n(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3\/6 - 2*y**2\/3 - y\/2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28055*w**2 + 36*w - 68 wrt w?\nAnswer: -56110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 + 6*m + 3. Let c(f) = 4*f**3 - f**2 - 7*f - 4. Let k(j) = -2*c(j) - 3*r(j). Calculate k(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m - 352 + 1171. Solve -28*h + 175 = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = 6*q + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + 0*y**5 + y**3 + 3*y**5 + (-y + 4*y - y)*(4*y**2 - 4*y**2 - 2*y**4) + y**5 + 3*y**5 - 2*y**5.\nAnswer: y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-236)\/20 + 12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpnqnnnppqppqrppp. Give prob of sequence qn.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 20829*a - 20829*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1111110?\nAnswer: -1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/8))**(4\/7)\/((n**(-2\/91)*n)\/((n\/(n\/((n\/n**5)\/n)))\/n)) assuming n is positive.\nAnswer: n**(-187\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 8. Suppose -w + g = w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 279 + 267 = 0. Which is the biggest value? (a) -0.4 (b) z (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373833727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + v = 24, -5*n - 8*v - 32 = -11*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 869*j**6\/20 + j**5\/60 - 71*j**4\/12 + j**3\/6 + j**2 + 78. What is the third derivative of r(f) wrt f?\nAnswer: 31284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyy when three letters picked without replacement from tytyt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1*-1*sqrt(108) + (3*2*sqrt(108) - sqrt(108)) + sqrt(108))\/(sqrt(9) - sqrt(900)*-5 - sqrt(288)\/sqrt(8)).\nAnswer: 16*sqrt(3)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 625*c*y**3 + 4*c*y - 36*c - 5185*y**4 + 2957*y + 1 wrt y?\nAnswer: 3750*c*y - 62220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Let g = 0.2 - 0.2. What is the nearest to -2 in g, y, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:26 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135042747.\nAnswer: 3, 7, 17, 19, 43, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 - -122. Solve -5*u + 3*r = -t, -r = -u + r + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-2)\/(-10)*(-18)\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30823 - -1315?\nAnswer: -29508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3890 - -3898. Solve -18 = -5*g - 2*u, -4*u = -3*g + 8 + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20\/57 - 1145\/798. Let x be (1 - 0)*18\/(-14). Let f = x - w. Sort -1, 0.2, f in decreasing order.\nAnswer: f, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.67 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 4*c**3\/9 - 1714*c**2\/3 - 4066. Suppose b(n) = 0. Calculate n.\nAnswer: 0, 857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032 times -25730?\nAnswer: -823.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11366 is divided by 118.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxzmrmztmtzw. Give prob of sequence rxtw.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1867 to 3 dps.\nAnswer: -0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-9))\/10*(-120)\/(-700)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 3. Let x be w(-13). Let f be 12\/(-48) - x\/(-68). Factor f*y - 8\/17 - 2\/17*y**2.\nAnswer: -2*(y - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3718 - -3950. Is x at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-12) + (-178)\/4. Let v = b - -80. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)*q*q*q**7)\/(q\/(q*q**(-2\/5)*q*q))**(-4\/7))\/((q**0\/q)**28*((q\/(q**(-1)*q))\/q)**(-2\/15)) assuming q is positive.\nAnswer: q**(5087\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 56 - 60 + h + 0*h. Suppose -2 = -f + 2. Determine p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 74575*u**2 + 35325*u - 70650. Let t(d) = 2*d**2 + d - 2. Calculate 4*c(x) - 141300*t(x).\nAnswer: 15700*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2*1)**2 - (-4 + 1 + sqrt(637))**2.\nAnswer: 42*sqrt(13) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3726100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53846 is divided by 8297.\nAnswer: 4064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikiiikk. What is prob of picking 3 i and 1 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 13*b**2 + 8147 - 8147 to the form j + x*b**2 + m*b and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 - 2. Let u(k) = 8*k**2 - 5*k + 3. Let g(q) = 4*q**2 - 2*q + 1. Let s(a) = -5*g(a) + 2*u(a). What is 3*f(x) + 4*s(x)?\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682.85382 + 0.43.\nAnswer: -682.42382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -975, -1\/61, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 2*j + 50. What is the units digit of y(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*b = -106*b + 139650. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12023030 (base 4) in base 11?\nAnswer: -18003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -48284014, -2\/3, 5 in descending order.\nAnswer: 5, -2\/3, -1, -48284014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213536 - 0.5.\nAnswer: -213536.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 496*u**2 + 4639*u + 3997. Give h(-257).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054479153 rounded to 4 decimal places?\nAnswer: 0.0545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*t + 3. What is the second derivative of -4*w + 31*w**5 - 33*w**t - 2*w - 2*w wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -443165, -886345, -1329515, -1772669, -2215801, -2658905, -3101975?\n\"Answer: t**3 - t**2 - 443184*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3643, 7284, 10925, 14566?\nAnswer: 18207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6122)\/(-30) + (-2)\/30. What is the highest common factor of g and 6834?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/8*7\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 108*v**2. Let l(t) = 8*t - 2. Give i(l(d)).\nAnswer: 6912*d**2 - 3456*d + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293*w**2 + 515*w**2 + 6*w**2 to the form h*w + d*w**2 + q and give d.\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -708, -876, -1070, -1296, -1560?\nAnswer: -1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/6 - (110\/15 + -8). Solve -4*f - j*p + 6 = -p, 0 = f + 4*p - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*x + 11 = 0, -2*a = -3*a + x + 3. Let o be (a\/10)\/(2 + -1). What is q in 0 + 0*q + o*q**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22324 - -22352. What is the greatest common factor of i and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 3*c - 12. Let p be h(-5). Suppose -3*g = g - p. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 22 = -5*l. Let i = 66 - 261\/4. Which is the biggest value? (a) 0.3 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600*t**5 - 744026*t**4 - 32238*t**3 + 2480*t**2 = 0. What is t?\nAnswer: -1240, -1\/12, 0, 1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1989994 = -5*r - 2*g, -3*g + 689473 + 1300518 = 5*r. Round r to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17970091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, 321, -2 in increasing order.\nAnswer: -2, -2\/7, 2, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 66551.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7137 + 8727. Calculate the least common multiple of 14 and u.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jre when three letters picked without replacement from rxetqtrxqeej.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122\/7681 or 0?\nAnswer: -122\/7681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 8*l**2 + 9*l + 4. Let y be g(-9). Suppose 3*q = -3*x + q + 55, 66 = y*x - q. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 3*g. Let h(c) = -13 + 34 + c - 21. Calculate -a(o) + 3*h(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*n + 236. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -3*a + 43*z - 35*z, 2*a - 4*z = 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078403 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/((-6560)\/120)*(-32)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o*o*o\/o**(2\/5)*o)**(-3\/5) assuming o is positive.\nAnswer: o**(-123\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -23 + 29. Put 2, t, -9, 0 in increasing order.\nAnswer: -9, 0, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 4. Let t(n) = 3*n - 19. Let m be t(6). Let v(z) = -1. Determine m*g(l) - 4*v(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17642*28.54\nAnswer: 503502.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 3*t + t + 3*t + 0*t - t + (-1 + 3 - 1)*(4 + t - 4) + 2*t + 0 + 0 + 2*t + 3 - 3 - 110057*t + 57673*t + 55735*t.\nAnswer: 3356*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319548867?\nAnswer: 7, 13, 367, 39511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.04, 3, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9580.1 + -9714.801. Let m = n - 0.299. Let k = m - -135.0122. Round k to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1872)\/926 - (3 + 35\/(-7)). Let l = k + 24609\/3241. What is the common denominator of 1 - ((-140)\/12 - -2) and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 853365 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - (-10)\/(-480)*32188*3\/498 and 43\/108.\nAnswer: 17928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**2 + 3*n**2 - 6*n**2)*(3 + 0 - 4) + 4 - 4 - n**2 to the form j*n + a + r*n**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxmrc. What is prob of sequence rx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2244 - -2252. Calculate the smallest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**25)\/s)**(-7\/12)*s**9*s**(2\/133) assuming s is positive.\nAnswer: s**(3061\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 70, -159 in descending order.\nAnswer: 70, 0, -1, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 141*i - 12650. Calculate the least common multiple of a(90) and ((-12)\/(-18))\/((-2)\/(-72)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0506936 rounded to four decimal places?\nAnswer: -0.0507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -61 in decreasing order.\nAnswer: -4, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/7)\/((-105)\/(-147)). Let w = -0.2 - -0.3. What is the closest to 2 in l, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -53. Let m(q) = -27*q - 283. Calculate the remainder when v is divided by m(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1259 = 601. What is the tens digit of (4 + 0 + -1)*7750\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-21))\/(4 + (-88)\/28). Factor 4\/3 - 2\/3*r**2 + p*r.\nAnswer: -2*(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3*z**2 + 0*z**2)*(-662*z - 219*z + 588*z - 16*z**3).\nAnswer: 32*z**5 + 586*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (228\/10)\/(-2 + 64\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 9*p + 14. Let g be h(-10). Suppose -6*q + g*q = 0. Solve q = 5*v - 5 - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m. Let j be x(1). Let d(o) = o**3 + 6*o**2 - 6*o - 4. What is the remainder when d(j) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u + 3. Suppose 9*p = 3 - 21. Calculate y(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.439 + -23.339. What is the fifth smallest value in n, -3.4, 0.5, 3\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -16b1c5?\nAnswer: 16b1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*(sqrt(2816) + 5) + 0)*4 + 1)*-1.\nAnswer: -64*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 149660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 y, and 2 o when four letters picked without replacement from {t: 2, j: 1, y: 1, n: 6, o: 5, c: 5}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110000101111101110000010 + -1?\nAnswer: 100000110000101111101110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 248805.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 829445033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/31806 and -31\/3.\nAnswer: 31806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-143) - (-1 + (-45)\/(-39)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, a: 4, i: 2}. What is prob of picking 1 a and 1 m?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20859765 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3127 + 40653\/13. Which is the second smallest value? (a) q (b) 3 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 21. Suppose -j + y = -p*j + 65, -y = 5*j - 80. Let i be (j + -15)*(0 - -1). Put -3, 3, 5, i in increasing order.\nAnswer: -3, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4\/7, -4\/203, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.763 - 6.763003. Let x = -3 - c. Round x to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2985\/2 + 1452. Calculate the common denominator of 2811\/330 + (-2)\/(-11) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (5 + (-485 - 0)). Let m = -411 + k. What is the remainder when 188 is divided by m?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g - 2 = -76*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 529 divided by -31\nAnswer: -529\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (100 - 0)\/(6\/1158000). What is p rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -20572, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 152, 4, 5 in decreasing order.\nAnswer: 152, 5, 4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16752629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 76 = i. Suppose 5*x - 10 - 10 = 0. Suppose -2*m = x*r - 30, m - 2*r = -2*m + 29. Calculate the remainder when i is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**4 + 3*p**2 + 2*p. Let b be 2\/11 + (-168)\/77. Suppose 0 = 4*y - 0 + 4. Let c(v) = v**4 - v**3 - v**2 - v. Let o(q) = b*c(q) + y*m(q). Factor o(n).\nAnswer: -n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 - 10*d**3 + 28*d**2 - 6*d - 45 = 0. Calculate d.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/(-42))\/16 - -6 - (-16)\/(-2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.543 - -0.443. What is the nearest to u in 41, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let x = -1 + -3. Let d = -4.4 - x. Which is greater: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 205\/90 + 2\/9 and -51\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 5*f - 2. Let h(w) = 2*w**2 + 9*w - 4. Determine -4*h(c) + 7*m(c).\nAnswer: -c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*h**3 - 2 + 5 - 48*h**3 + 7 in the form r*h**3 + u + o*h**2 + q*h and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8860, 2723, -3414?\nAnswer: -9551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q + 3*q)*(7*q + 75*q**3 + 34*q - 76*q**3).\nAnswer: -2*q**4 + 82*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(500)*2 + sqrt(500))**2*-5 - ((sqrt(540)\/sqrt(3))\/sqrt(4) + 5)) + 3.\nAnswer: -22507 - 303*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -21*b**2 + 16*b**2 + 8*b**2. Let g(p) = p. Let o(l) = 2*l. Let z(t) = -11*g(t) + 6*o(t). Give z(x(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6190511795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3150.064 + -0.3.\nAnswer: -3150.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/(-12) - 4)*3. Let m = z + 30. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119273 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7491, -7490, -7489, -7488, -7487, -7486?\n\"Answer: b - 7492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/556443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 11:15 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 1760?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from oohooohoohhh?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2125, 2138, 2163, 2206, 2273?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*y - 85207 + 281387 = -221*y + 2718*y for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (851\/(-23) + 31 - 39) + -25.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c**(5\/6))\/c*c\/(c\/((c*(c*c**9)\/c)\/c)))\/((c*c**(-1\/6))\/c*c**9))**31 assuming c is positive.\nAnswer: c**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - -6) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1312 and 4347804?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20\/1457 + -104827\/100533. What is the common denominator of j and -29\/6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*y**5 + 5*y**4 + 35*y**3 - 1133*y**2 - 220 wrt y?\nAnswer: -7800*y**2 + 120*y + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((-7875)\/17500)*(-2)\/(-8)*-351?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -45, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/3 - -1\/3. Let a = 3.5 + -2.5. What is the closest to -0.1 in a, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 79 = 14*z, 1 + 13 = 3*v + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 14*s**3 + 0 + 23*s - 2 wrt s?\nAnswer: -84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14515 to three decimal places.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1121*5\nAnswer: -5605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 24*j - 60. Calculate b(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n\/n**(-2)))\/n))**1*(n*n\/n**(1\/4))**(4\/17))\/(n*(n*n**2\/n)\/n*n*n*n**(2\/3)*n**(3\/5)*(n\/n**(2\/9))\/n) assuming n is positive.\nAnswer: n**(-484\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Suppose 4*q = 4 + 120. Suppose 3*a = -5*f - 29, -5*f - 2*a + 0 = q. Let k(g) be the second derivative of -5*g**3\/3 + 2*g. Give f*j(u) + 2*k(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 + 2*m + 4. Is s(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 20914952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + h - 299 - 9 = 0, -5*h = -4*c + 436. Let x = 214 - c. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/3 - 2672*n**4\/3 - 800872*n**3 - 248978016*n**2 - 5983791408*n - 10978063488 = 0. Calculate n.\nAnswer: -882, -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3 - 5*d + 1 - 6 + 0*d. Suppose -5*p + 3*c = -154, -5 = -3*p + 2*c + 87. Let w = -34 + p. Determine o(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1620)\/80*(-292)\/657\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-42))\/(1020\/(-3213)).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4\/2 - 5*d**3 - 75*d**2\/2 + 80*d - 40.\nAnswer: 5*(d - 4)*(d - 1)**2*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -68.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahhaaaahaaaah. Give prob of picking 1 h and 3 a.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 865 and 79061.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 3:08 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 231. Is (-10)\/20 + v\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2651, -1\/7, 2\/3, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1733*k + 1732*k + 175*k**2 - 3465*k - 175*k**2 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*3\/24*0. Suppose 0*c + 3*q - 21 = 3*c, x = 4*c + 3*q. Sort 1, 2, c, 5 in ascending order.\nAnswer: c, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220122 (base 4) to base 6.\nAnswer: 50534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 433 = -1365. Suppose -5276 = k*o - 64*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5467716 is divided by 1366926?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -637 by 3.\nAnswer: -637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10 and 3\/2762438.\nAnswer: 13812190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/8)\/(36\/(-16) + 3). Solve l*v + 15 = 12*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094 (base 11) in base 7?\nAnswer: -4116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-18)*v*v)\/v**9*(((((v*v**(2\/15))\/v)\/v)\/v)\/v)\/(v**30\/v) assuming v is positive.\nAnswer: v**(-823\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*x - 18, -x + 5*x - 18 = b. Let k = b + 0. Find c, given that c - c**2 + c**2 - c**k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18558510 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3083*b - 3081*b + 18 = 0, 0 = m - b - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-29) + (-134)\/(-1943). Let j be (-1*2)\/(-10) + 0. Let n be (5\/40)\/(1\/(-2)). Which is the closest to u? (a) 2\/13 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7 = 34. What is the remainder when p is divided by (-31 + 14 - -14)\/((-1)\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54\/(-9)*-3*(-3)\/(-18). Solve -5 = -o - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2274.46? (a) -0.07 (b) 1 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40500 + 335404?\nAnswer: 420304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1440323033 (base 5) to base 16\nAnswer: -3a94a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 208593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66633 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2231977087 to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1876*a - 1865*a - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-43)\/(-20) + (-8)\/(-20). Let z = 1\/20 - b. What is the smallest value in z, -9\/2, 1\/3?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*t**5 - 23*t**5 - 16*t**5 - 14*t + (-3*t**2 + 2*t**2 + 0*t**2)*(t**3 - 5*t**3 + t**3) + 3*t - 3*t + 2*t**5.\nAnswer: 4*t**5 - 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - i - 43 - 9, 4*a = -4*i - 48. Suppose 0*u - 7 = 2*l + 3*u, l - 4 = -3*u. Let x = l - a. Which is smaller: x or 2\/23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80\/35 - 2\/7. Suppose 24 - 4 = i*s. Let o be s\/12*(-4)\/(-25). Which is the second smallest value? (a) 1 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315 is divided by 563?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-64 + 103) - 20*-1*(-6)\/15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.0616081.\nAnswer: -0.3080405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**2 - i + 2. Let v(f) = 10*f**2 + f - 2. Let x be (0 - 3)*(-1 - (-465)\/9). Let w = x - -146. What is w*v(j) - 7*b(j)?\nAnswer: 3*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 41 + 6 = 0. Let k(v) = -v**3 + 6*v**2 + 7*v + 2. Let f be k(h). Suppose j - 56 = -3*j. Solve -4*l + g - 22 = -2*g, f*l + j = 3*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 10. Let v = i - -32. Let z = 11.3 + -11.34. What is the biggest value in v, z, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (13 - 33) - -6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712719 - 712719 + 6*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/20 + 5*q**4\/12 + 4*q**3\/3 - 5*q**2\/2 + 2*q. Let k be i(6). Let c = k + 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -445 - -442?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90167120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 7. Let r(x) = 4*x - 3. Let f = 14 - 15. Let s be r(f). Calculate y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1292 - 1293. Let g = 218 + -193. Which is the nearest to z? (a) -2\/3 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 3. Let v(w) = w**2 - w + 1. Let r be v(0). Let t be r*2 + 45\/(-35) + -1. Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17660258*o**4 + 239295*o**2 + 7*o wrt o.\nAnswer: -423846192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1282 = -2*u - 8*u + 1312 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 25 = 4*v - 27, -4*v + 44 = -w. Let z = v + -9. Let m be 3 - 3*(z + 0). Solve m = -u + 3*g - 12, 3 = -4*u - 3*g + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342 (base 5) to base 6.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23.64? (a) 1 (b) -1\/26 (c) 1\/4 (d) 1\/3 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/87, 4, -494.9, -1 in descending order.\nAnswer: 4, 2\/87, -1, -494.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f + 4. Let s(x) = -21*x - 12. Let k(d) = 7*a(d) + 2*s(d). Let g be k(-1). Put g, 0.3, 5 in decreasing order.\nAnswer: 5, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77)*2 + sqrt(77))*4)\/(sqrt(11) - -3*sqrt(99))*-5 + (-2*sqrt(1008))\/(-1*sqrt(225)))**2.\nAnswer: 16807\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2392.005413 - -2392. What is i rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 34. What is the remainder when 28 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - h - 18, -4*y = 2*h + 5 - 25. Suppose -5*q - 485 = -y*b, 3*b + q = -3*q + 325. List the prime factors of b.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfhn when four letters picked without replacement from {t: 1, v: 2, f: 1, h: 1, n: 2, c: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -78 - 1626*a**2 - 1618*a**2 - 138*a - 51*a + 3259*a**2 = 0. What is a?\nAnswer: -2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 53057?\nAnswer: 5304d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) -0.1 (b) 3\/5 (c) -755746 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20271 - -3936. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -5*y + 48 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001304 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123103 + 2?\nAnswer: -123101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + g**3 + 4*g + 3*g**2 - 1 - g. Let x be c(-5). Suppose 0*l - 3*l = -x. Solve -7 = l*v - 4*w + 13, 5*v - 5*w + 25 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145939070*x - 235860717 wrt x?\nAnswer: -145939070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57\/8 - -415\/56. Which is the biggest value? (a) t (b) -0.1 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/3 + 71*t**2\/3 + 296*t\/3 + 100 = 0.\nAnswer: -2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*y + 586 + 134. Let h(p) = 53*p - 1. Suppose 0 = -2*q + 2. What is the remainder when h(q) is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165484534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 + m. Let k be y(1). Let h(p) = p**3 - p**2 - 37. Find the common denominator of k\/(-180) - (-2)\/10 and h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17550852 divided by -6?\nAnswer: 2925142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 74.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11335 - 12?\nAnswer: -11351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1925 or -5?\nAnswer: -1925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158299149.\nAnswer: 3, 47, 23887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78295286 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/3, 0.3, -5, -4, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -6, 23962.\nAnswer: -6, -2, 0, 23962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293550142 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 900 and 12104460?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26.1795 micrograms?\nAnswer: 0.0261795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 3*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -115906, -115957, -116034, -116143, -116290, -116481?\n\"Answer: -q**3 - 7*q**2 - 23*q - 115875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 47. Is 18 a factor of (g\/2)\/(-2 - (-19)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20, -2.9, 0.5, -19, 1\/23 in decreasing order.\nAnswer: 20, 4, 0.5, 1\/23, -2.9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 12) to base 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 + 2 - 2)*(-2 + 7 - 3)*(1 - 3 + 1)*(1 - 2 + 3) to the form j*m + k + s*m**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*u**2 + 153*u**2 + 247*u**2 - 224*u**2 - 322*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 9*r**2 - 4*r + 5. Let h be (-8)\/((-32)\/12) - (1 - 0). Let g(j) = -j**3 + 4*j**2 + 2*j - 2. Give h*n(k) + 5*g(k).\nAnswer: -k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppllllll. What is prob of picking 3 l?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -69. Suppose 3*z = 5*h + 284, -b*h + 15*h + 281 = 3*z. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, 0, -1, -12 in increasing order.\nAnswer: -12, -1, 0, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 16. Suppose 0 = -n - 8*m + 6*m - 11, 0 = -3*n + m - 33. Calculate t(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29780674, -29780673, -29780674, -29780677, -29780682?\n\"Answer: -v**2 + 4*v - 29780677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 0. Let z = 13 + -18. Let m = z - -5.1. What is the second smallest value in m, h, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 19, 5 in ascending order.\nAnswer: 1\/7, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 865 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1397641043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9200.15484 to the nearest integer.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2525 (base 14) in base 4?\nAnswer: -1211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((324\/150)\/(-9))\/((-292)\/3285))\/(2\/(-10)).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0*f**4 + 0 + 11\/6*f**3 + 4*f - 3\/5*f**5 + 0*f**2. Find the second derivative of y(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14692*c**3*h**2*q**2 + 2*c**3*h**2 + 137*c*h**2*q**2 - 2*c*h**2*q + 2*c*q - 2*h**2*q + 414*q wrt q?\nAnswer: -29384*c**3*h**2 + 274*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -339772112 divided by 21235757\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-7 - -20) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69217 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*h = 4*h - 390. What is the remainder when 1426 is divided by h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 6 + -6 + 8 + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 - 40*p**4 + 50*p**3 + 40*p**2 - 45*p = 0 for p.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*d + 15. What is the third derivative of -9 + 9 + 4*g**2 - d*g**4 wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8646 divided by -6\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13610 or -13612?\nAnswer: -13610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from kipxxiixix?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 350 + -101. Suppose 3*a = y + l, -52*y - 332 = -4*a - 47*y. What is the remainder when a is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r - 28 = 28*r. Calculate the remainder when 190 is divided by 5100\/105 + 3\/r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13bc (base 13) to base 6.\nAnswer: -21123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + j - 149 = 58, 3*y = 3*j + 72. Put -4, -7, y, 1 in decreasing order.\nAnswer: y, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 112.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 279149523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 4*s**3\/3 - s - 169. Suppose 4*l - 3*p + 1 = 0, 4*l + 5*p = -9 - 0. What is o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12756773630963\/5772 + -6630323543\/3. Let i = y - 140645\/26. Let h = -25\/74 + i. What is the common denominator of h and 25\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:01 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.39 + 0.01. Let d = 3.4 - 3.2. Let s be 4\/(-6)*(-6)\/(-10). Which is the second smallest value? (a) z (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 49. What is the remainder when m is divided by 2\/16 - (-870)\/80?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/3 + 1756*a\/3 + 585 = 0.\nAnswer: -1755, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 23 + (-76 - -64)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1825, -1819, -1811, -1801, -1789?\n\"Answer: f**2 + 3*f - 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 635*z + 1180. Calculate q(-2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -290*u**3 + 2915*u**2 + 21600*u - 1125 = 0. What is u?\nAnswer: -5, 3\/58, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1\/2, -10\/2457?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 3*i - 10. Let s = 6 + -14. List the prime factors of a(s).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 394 + -64. Suppose -5*u + 5*d = -x, -5*u + 168 = -d - 154. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45439, 90879, 136319, 181759?\nAnswer: 227199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 + 2 = 0. Let g be a + -3 - -2*1. Let u be ((-1)\/2)\/(g\/(-12)). Which is smaller: -1\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323023 (base 4) in base 8?\nAnswer: -17313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 - 19) + -6 + 13 + -7 + -7.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 7*w - 4. Suppose -3*c - 26 = -2. Let f be r(c). Let m be 1 + -2 + (0 - -1). Solve 5*o = 2*p - f, m = 2*o - 4*p - 7 - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(80) + sqrt(80) + (sqrt(80) - -4*sqrt(80))*-4 + sqrt(80) + (sqrt(80) + 5*sqrt(80)*-1 - (sqrt(80) + 4*2*sqrt(80))) + -4)**2.\nAnswer: 2160*sqrt(5) + 72081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 27*c**3. Let i be g(1). Let w = 89 - 87. Suppose -5*y + 99 = 3*k, -y = -w*y - 5*k + 33. What is the greatest common factor of y and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -4*z - 0*z + 10, 5*k = -z - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1885 or 1883?\nAnswer: 1883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 11*r**2 + 8*r - 9. Suppose 9*n + 6 = 24. What is the lowest common multiple of a(-10) and (-270)\/(-81) - n\/(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-3712)\/(-10) - 7\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = y + 22, 4*s - 68 = 2*y + y. Let t be 8\/(-5)*(-60)\/y. Let m be (2004 - 4)*(-62)\/t. Round m to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/23 - 5469016*x**4\/23 - 10938042*x**3\/23 + 5469016*x**2\/23 + 10938040*x\/23 = 0 for x.\nAnswer: -2, -1, 0, 1, 2734510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112504445 is divided by 1176.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -197*g + 119*g - 2 + 103*g. Let m(x) = -x**2 + 203*x + 3*x**2 - 203*x. What is m(z(b))?\nAnswer: 1250*b**2 - 200*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09012 - -0.30988. What is the closest to 240 in 5, l, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 + 1. Let u be b(-1). Let r be 2*7*1\/2. Suppose 25 = -u*f, -4*p + r*f - 3*f = -136. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 50 = -6*j. Let m = 8 - 6. Suppose -m + j = x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 2*i**2 - 5*i - 2. Let c(q) = -q**2 + q. Let u(v) = 5*c(v) + o(v). Calculate the remainder when u(-5) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - 0.45. Let u be (-1)\/(6 - 6\/2). Which is the closest to 0? (a) u (b) -4\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-16)\/264*(-42126)\/476?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, l: 15}. What is prob of picking 3 l and 1 m?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.84 weeks in microseconds?\nAnswer: 100904832000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + c4?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 17697?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.92577 to 2 decimal places.\nAnswer: 10.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/5040 and 161\/281808.\nAnswer: 9863280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -4, 60, 180, 374, 660, 1056, 1580?\n\"Answer: 3*l**3 + l**2 + 2*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10033*v + 18. Let t be x(2). Let a = 541357\/27 + t. Calculate the common denominator of a and -88\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -237*q + 2189. Give s(11).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2116392 divided by -1082?\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l - 8. Let c(o) = 3*o**2 - 6*o - 12. Does 5 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 113.175063ms?\nAnswer: 0.0000013098965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895*r**2 + 364*r**2 + 524*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -17. Let n = -2776 - -2818. Calculate the remainder when n is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141372655927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17000 divided by 85?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 68\/5, -2, 1, 0.4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 102*p**2 + 321*p + 641. Determine i(-105).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 2. Let z(h) = h**2 + 9*h - 9. Let n(g) = 9*a(g) - 2*z(g). Let m(p) be the first derivative of p**2 - 3. Calculate n(m(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/189*3\/(-80)*80\/(-32)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 6, -1, -30007, -5 in descending order.\nAnswer: 6, -1, -5, -14, -30007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 1. Let z(x) = -30*x - 33. Let a(v) = -54*n(v) + 2*z(v). Let g be a(0). Does 5 divide g\/(-9)*(0 + -3)*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22969 + -413587\/18. Find the common denominator of -59\/74 and b.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-66)\/(-14) + 3\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7534 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-1 - -1))\/(-1 + 0). Let v = 2\/11 + 5\/33. Let -v*a**x + 0 + 2\/3*a**3 + 0*a - 1\/3*a**4 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201 and 10548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 13*k + 101. Let o = k + -47. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3714 and 228.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 33. Let s be ((-1)\/g)\/((-17)\/(-85)). Solve u = -s*q + 1, -5*u - 21 = 3*q - 4*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11 + 3*u + u + 10*u + 13*u**2 - 4*u. Let g be y(8). Suppose f = -343 + g. Round f to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*(4 + -1). Let t be ((-30)\/9)\/(j\/3). What is the third derivative of 2*s**5 - 7*s**2 + 5*s**2 - 5*s**t wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -12. Let v be f\/25 - (-84)\/(-10). Let d(z) = -z**3 - 10*z**2 - 8*z + 13. Let x be d(v). Solve 3*h - 13 = x*g, 3 = 4*g + 5*h - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*m + 9*m - 39*m - 1)*(0 - 4 + 3)*(-7*m + 12*m + 2*m).\nAnswer: 343*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.7507 and 0.493.\nAnswer: -2.2577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 64858.14m?\nAnswer: 64858140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = 5*k + i - 82, i = 2*k - 124. Calculate the remainder when 142 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*t - 7*t - 5*t)*(-8*t - 11*t - 209 + 13*t + 367) to v*t + s*t**2 + n and give v.\nAnswer: -4740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 869*u**2*z**2 + 1959*u**2*z - 2411*u*z**3 - 3381*u - 7*z**2 wrt z.\nAnswer: 1738*u**2 - 14466*u*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.163342 rounded to three decimal places?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*v + v - 3*j, -4*v + 5 = -j. Determine b, given that -3 - v*b - b - 3*b**2 + 3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228321\/5 - 45522. Let c = x + -140. What is z in -z**2 + 54\/5*z**5 - 2\/5 - 9*z**3 + 27\/5*z**4 + c*z = 0?\nAnswer: -1, -2\/3, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000672971 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 739, 1704, 3069, 4834?\nAnswer: 6999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**2 - 516 + 516 + (0 + 0 - 2*d)*(2*d - 4*d + d) + 4 + d**2 - 4 + d**2 + 0*d + 0*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59153787827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24341633 + 24341633 - y**2. Let s(k) be the first derivative of -21*k**2\/2 - 1. Determine s(z(i)).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1652 and -4.\nAnswer: 6608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 419, -1628, -4 in descending order.\nAnswer: 419, -4, -1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:36 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 7*y - 2*w - 64, -4*w = -5*y + 58. Suppose -26*m - y = -33*m. Sort -2, -3, m in ascending order.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 2*y**3 - 80*y**2 + 80*y**2 + 9*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 8)*(3*g**2 - 7*g**2 + 3*g**2).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.001, 2, -0.4, 5.\nAnswer: -0.4, -0.001, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-2)\/8 + 66\/8. Solve -2*c = -7*c - n*p - 50, -5*c - p - 30 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*v - 5*d - 440, -5*v + 696 = d. Let a = v - 138. Factor -n - 200*n**2 - 7*n + 204*n**a.\nAnswer: 4*n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1769914 is divided by 39331.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 7:10 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674123 = 77*i + 56*i - 1133879. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**4 + 1475*n**3 - 106290*n**2 - 332280*n = 0?\nAnswer: -3, 0, 142, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 3*a**4 - 2 + 437*a**2 + 2*a**4 - 28*a**3 + 0*a - 437*a**2 in the form p*a**3 + y*a + r*a**2 + q*a**4 + g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 316066453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6288, 12624, 18970, 25326, 31692, 38068?\nAnswer: 44454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n + n + 3*n)*(-2*n + 7*n + 0*n) - 2 - n**2 + 2 + (-n + 1 - 1)*(-5*n + 4*n + 3*n).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 243833221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 0. Let h(z) = -5*z + 0 - 2 + 0. Is 11 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.21 less than 0.4?\nAnswer: -1.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 0.3587\nAnswer: -0.1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3 - 3 + x)*(-1328*x - 3 + 685*x + 673*x).\nAnswer: -30*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10773 greater than -10778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -1 - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46490710 divided by -9298142.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 6*2*sqrt(72) + (sqrt(242) - (-4 + sqrt(242) + -1) - (sqrt(242)*2 + -5)))*-1)**2.\nAnswer: 1500*sqrt(2) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -9. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47142527 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 4*d**3 + 2*d**3)*(d + d**2 - d) + (-3*d**3 - 350*d + 350*d)*(-d**2 + 5*d**2 + d**2) + 2*d**2 - 2*d**2 - 2*d**5.\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/7 - 51*y**4\/7 - 624*y**3\/7 + 676*y**2\/7 = 0.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2\/11, 3, -5, -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1026 (base 7) to base 12\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -442, -441, -440, -439, -438, -437?\n\"Answer: c - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:33 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 8*o + 12. Let s be y(4). Let x be 60\/8 + (-2)\/s. What is the remainder when (-982)\/(-8) + ((-42)\/x)\/7 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:18 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.4 + 14.4. What is the second biggest value in 1, -4, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2005, -4008, -6011, -8014?\n\"Answer: -2003*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 110 + -2 + (360 - 396) + 20\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j - j)*(-3*j**3 + j**4 + 3*j**3) - 9*j**5 - 16*j**3 + 303*j**2 - 303*j**2.\nAnswer: -11*j**5 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3118 (base 9) to base 16\nAnswer: 8ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - ((-14 - 2) + (9 + 11 - 10)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11009162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from {j: 4, m: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39024456 - -76424456. Round x to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**4\/4 - 2975*z**3\/4 - 20455*z**2\/2 - 34860*z = 0.\nAnswer: -581, -8, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 32*s**2 + 1545*s - 484. Give n(-49).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103632739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 484?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 252 - 241 - 2*d + 444*d**4 - 439*d**4 - d**2 to the form m*d**4 + q*d**3 + v*d**2 + o*d + u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -13, -5, 5, -2, -1.\nAnswer: -13, -7, -5, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.6 + -14.6. Let l = 36\/19 + -218\/95. Which is the closest to -2? (a) l (b) 4\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 4*n**2 - 11*n**2 - 3*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/40 + 179*j**4\/16 - 45*j**3 + 10890*j**2. Factor i(g).\nAnswer: 3*(g - 1)*(g + 180)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 5, -1383455 in decreasing order.\nAnswer: 7, 5, -3, -1383455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66788 by -17.\nAnswer: -66788\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*b**3\/4 - 70965*b**2\/2 - 29928*b - 6304 = 0 for b.\nAnswer: -8\/19, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/3 - 6561*l**3 + 60339179*l**2\/3 + 40245801*l + 60378542\/3 = 0. Calculate l.\nAnswer: -22379, -1, 2698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/a**(-1) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 1 (b) -23239 (c) 0.2 (d) 0 (e) 2\/15 (f) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46482848.\nAnswer: 2, 41, 71, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z - 1\/120*z**6 - 5\/3*z**3 - 237*z**2 + 0 - 3\/20*z**5 + 0*z**4. Differentiate x(c) with respect to c.\nAnswer: -3*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/22500 and 137\/8760?\nAnswer: 3285000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.6, -2\/9, 1555?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 9. Let j be f(-9). Suppose 0 = z - 28 - j. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**6\/240 - u**5\/20 - u**4\/2 + 5*u. Let z(v) be the third derivative of b(v). Does 9 divide z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.201 times -1\nAnswer: -0.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 66 = 3*a. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60855766071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4 + 2*h**3 + 0*h + 0*h**2 + 0 + 1\/2*h**5 = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - 2\/(-8). Suppose 2*s + 5*i - 47 = a, 0 = -3*i + 5*i - 6. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 568 - 4541\/8. Let i = -0.131 + 0.031. What is the nearest to i in 0.3, o, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 r when four letters picked without replacement from wgwjwkkrjwkgnwk?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*n - 5169, 0 = -11*i + 14*i + 2*n + 3848. Let a = -862 - i. Does 53 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.79 + 1.9. Let m = -5.89 - n. Let h = m + 6.08. Round h to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114021.\nAnswer: 3, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + (-1 - 3) - -11) + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s**3 - 3*s**2 - s + 1. Let l be (-98)\/35 - 4\/(-5). List the prime factors of k(l).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 11*w**2 + 12*w + 32. Let u be k(-10). Let r be u\/(-28) - 17716\/(-14). Suppose -r = -122*i + 117*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 92)*(18 - 1314\/72).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (192\/(-5796))\/((-2)\/(-33)). Let g = -17665\/966 + t. Let h = 28\/9 - 103\/36. Calculate the common denominator of h and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21965085 is divided by 272?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4583559 divided by -42837?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - t**2 - 2*t + 14. What is the smallest common multiple of (12\/(-2))\/(-1 - 0) and x(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/475?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 159294326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8*g = 21. Suppose 4*c = -g*d + 6, 4*d = -d - 4*c + 10. Suppose 5*a - d*p = -0*p + 836, 3*p = -5*a + 821. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*j + 390 = 78*j + 159 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 145916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35756 + 11724 - 32393 = 3239*j + 24550 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {d: 2, n: 2, e: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 5*o**3\/6 - 72*o**2 - 6080*o. Calculate y(31).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(8\/12*-3). Put 1, d, 4 in decreasing order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2864409742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:40 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 2 + 2 - 3*p**4 - p**4 with respect to p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 13*j + 8 = -4*m, 3*m - 5*m = -2*j + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {b: 1, k: 1, i: 2, l: 4, m: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 2*r**3 + 5 - 8 + 4*r**2 - 4*r**2 to the form u*r + f*r**2 + v*r**3 + o and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 2 l when four letters picked without replacement from {l: 5, q: 1, t: 1, v: 3, o: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13586 + 21351. List the prime factors of s.\nAnswer: 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 9*n + 20. Let d be f(8). Let a = -5 + d. Calculate the least common multiple of 3 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18196318\/11 <= 1654210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 - 1317 = -215*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 1.49. Let d = b + -1. Let q = 0.38 - 0.38. What is the second smallest value in -4, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*u + 54 - 54)*(-2*u**2 + 0*u**2 - 13*u**2)*(-1 + u + 1).\nAnswer: -570*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 65.5. What is the fourth smallest value in 0.1, -4, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1758.20775 + 1758. Let u = 4.49211 - x. Let g = 4.7 - u. What is g rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9, -0.15, 320, 2\/5, 0.06, -0.3, 1\/8?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/25 + (34\/35)\/(-1). What is the closest to -2\/13 in 2\/11, o, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869502?\nAnswer: 2, 3, 144917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16 = 3*f. Suppose -f = a, -q - 45 = 4*a - 125. Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 14. Let n(o) = 301*o + 572. Give n(t(l)).\nAnswer: 301*l + 4786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*x = -2*x, 0 = 2*v + x + 3. Which is the closest to -0.1? (a) v (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 46784*x - 327497. What is z(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 + -176. Let k(h) = 19*h**4 + 4*h**3 + 3*h - 31. Let q(r) = -r**4 - r**3 - r + 1. Let n(s) = g*k(s) + 3*q(s). Differentiate n(i) wrt i.\nAnswer: 64*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 47, 172, 381, 674, 1051, 1512, 2057?\n\"Answer: 42*g**2 - g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**6\/120 - 8*w**5\/15 - 4*w**4\/3 - 14*w**3\/3 + 17*w**2. Let j be v(-31). Solve -j*q - 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.95370267 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*v**3 - 24*v**3 - 10*v**3 + (v + 3*v - 2*v)*(2 - v**2 - 2) - 3*v**3 + v**3 + 3*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03633 * 0.8.\nAnswer: 0.029064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002755892 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-11*(-2400)\/(-3696))\/(2\/(-7))).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x - 2 + 3 + 6*x)*(-4 + 4 + x)*(-4 - 2 - 1) in the form k*x + f + b*x**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -52281 != -417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*x - 45 = 23, 2*q + 4*x = 44. Suppose -q*c = -46*c + 529648. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 35*j - 5176 = 0. List the prime factors of j.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643.362 rounded to zero decimal places?\nAnswer: -1643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by (4*-24)\/(-4) - 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2, 470, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -g - 8, 4*k - 5*k = -4*g - 14. Let j be 2\/(-1 + 10\/k). Put 2, j, -4 in ascending order.\nAnswer: -4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.54 - 63.4. Let w = m + 7.3. Let y = w + 0.26. What is the third biggest value in -5, -4, 6\/5, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3944*h**3 - 7221?\nAnswer: -11832*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsyyyhhhhhy. Give prob of sequence hhh.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4 - 23*m**3 - 5760*m**2 + 75600*m + 8208000 = 0.\nAnswer: -57, -40, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + d + 456163 = 0, -3*z + 2*z - 456155 = 3*d. Let p be (-4 + z\/(-56))*2. Let l = -16286 + p. Calculate the common denominator of l and -31\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 4*p**2 - 3*p. Let a be k(3). Suppose -4*d + 3*u - 260 = a, -114 - 84 = 3*d - 3*u. Let x = d + 139. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + 2 + sqrt(288).\nAnswer: 5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7167*o + 136168. Give m(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5556 is divided by 278?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 + 7276*h**3*n - 8113*h**2*n - 5*n wrt h?\nAnswer: 48*h + 43656*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.033 or 18100?\nAnswer: 18100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 6*h + 5. Let x be b(-6). Let u(n) be the first derivative of -n**4\/4 + 2*n**3 - 7*n**2\/2 + 6*n + 14. Determine u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19905697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 40977030.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 5*d - 5. Suppose 0 = -2*w - 0*w + r - 8, -3*w = 5*r + 38. Calculate z(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -121, -200, -299, -424, -581, -776, -1015?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 5. Let g be l(3). Suppose t - 1 = -d - 0, 0 = g*t + d - 4. Solve 0*f - t*f + 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eef when three letters picked without replacement from eefheefeehehf?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/3, 2\/9, -4\/11, 0.3 in increasing order.\nAnswer: -14\/3, -4\/11, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = c + 20, 5*c + 117 = -3*x + 17. Let q(u) = -u**3 - 4*u**2 - u - 6. Let l be q(-3). Let f = l - c. What is the remainder when f is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 133, 80, -29, -188, -391, -632, -905?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 656 = 136. Suppose 3*r = m + 204. Suppose -5*s + r = 3*d, -5 = s - 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40406 - -40405. Let w be (-2 + 0)\/(-4)*2. Let y = -1 + w. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/843269739 or 0?\nAnswer: -8\/843269739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35133 (base 9) to base 14.\nAnswer: 8783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 35*y - 34*y - 1, -2*y + 3*c + 7 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-452)\/(-6))\/(2\/3). Let m = 8 + -5. Suppose -4*t + v + m = 0. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.2, 32 in descending order.\nAnswer: 32, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39538.2 - 39498.3193. Let u = h - 39.9. Round u to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.018 + 0.018. Which is the nearest to -2\/5? (a) -5 (b) -3\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 305 + -300. Suppose -p*r = -3*o - 2708, 2*r - 1079 = -5*o + 2*o. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 35. Calculate j(-19).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 + 1\/(-3). Let i be -4 - ((-34)\/9)\/1. Is f smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)*h*h**(2\/3)\/h)**(2\/3))**(-41) assuming h is positive.\nAnswer: h**(820\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)\/s)\/(s*((s*(s*s**(-4))\/s)\/s)\/s))\/((s*s**(-5\/4)*s)\/(s\/(s*s\/s**(-3\/11)*s))) assuming s is positive.\nAnswer: s**(-221\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.6 (b) 0 (c) -12 (d) 15\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6*v**2 - v + 1. Calculate the remainder when 171\/(-684) + (-2)\/((-16)\/202) is divided by a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ddttdtttttddtttttt.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*o + 4*o. Let t be (o\/7)\/((621\/18)\/23). Suppose -2*l + 6*l = -24. Which is the third biggest value? (a) l (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-183)\/(-12) - (-17)\/(-68). Solve -8*w + 25 = -s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -8. Let o(n) = n**3 - 6*n**2 + 13*n - 8. Let x be o(8). Suppose -3*w = -w - x. Calculate the highest common divisor of s and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/593 + -611\/1779. Which is the closest to -1? (a) t (b) 13 (c) -1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**3\/3 + 3*y**2 + 9*y - 575. Let l be (-3)\/(-9) + 40\/6. Calculate the least common multiple of 10 and d(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 845?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 - -176 - (-34 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18799183*q**2 + 237414*q - 56 wrt q?\nAnswer: -37598366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47 (b) -0.0768 (c) -0.2 (d) -3 (e) 3 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52629 - -22?\nAnswer: -52607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c + 2*l = 14, -3*c - 2*l = -21. Let d = 9 - c. What is the second derivative of 0*z**3 - z + d*z**3 + 4*z wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-714)\/56)\/51)\/(1\/(-28)). Solve -11*y = -z*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/518?\nAnswer: 3\/518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27236, -27237, -27238, -27239, -27240?\n\"Answer: -x - 27235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4 + 96*y**3\/5 - 3642*y**2\/5 - 16728*y\/5 - 2601 = 0.\nAnswer: -17, -17\/5, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 12*d - 15. Suppose 73 = 4*p - 5*i, 5*p + 9 = -4*i + 131. Calculate the smallest common multiple of k(-5) and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161858987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 4\/9, -4, -665?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 860777 and 37572.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -879450 divided by 79950.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5 + 3. Let w(q) = 48*q + 3. Let c(a) = -16*a - 1. Let u(d) = 8*c(d) + 3*w(d). Does 9 divide u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445590857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l. Suppose -5*q = 5 - 0. Let a be n(q). Let v(h) = -h**3 - 14*h**2 - 11*h + 17. Let f be v(a). What is f rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 3 + 4 + 7*d**2.\nAnswer: d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13710282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2730 and 117.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 1370*s**2 + 520*s**2.\nAnswer: 1890*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 9*u**2 + 21*u - 11. Calculate l(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*j + 174 = 424 - 209, 89 = 13*d - j for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50593861 by -13241.\nAnswer: -3821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*k**5 - 51*k**5 - 2*k**5 - 343 + 343 + 5*k**5 + (k - k**2 - k)*(3 - 3 + 2*k**3) - k**5 + 0 + 0 + (3 - 2 + 1)*(k**5 + 3*k**5 - 5*k**5).\nAnswer: -166*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4790521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 22*y - 6. Let t(a) = 3*a**2 + 18*a + 5. What is -4*j(m) - 5*t(m)?\nAnswer: -3*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -26. Factor 3*h**2 + t*h - 8*h - 4*h**2 - 4.\nAnswer: -(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11398577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.35? (a) 0.3 (b) -3 (c) 4\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23634029 divided by -653?\nAnswer: 36193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 + 129.071. Let f = v + 2.829. Is f less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 + 0 - 1 - 1)*(-338*f**2 - 179*f**2 + 128*f**2) + (-7 + 2 + 2)*(2*f**3 - 2*f**3 + f**4) as g + m*f**4 + x*f**2 + q*f**3 + v*f and give m.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/3)\/s)**(7\/2))**(-3\/2) assuming s is positive.\nAnswer: s**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 7. Let x(n) = -2*n + 21. Suppose -2*f + 2*s = 2*f - 30, -5*f - 2*s = -60. Let g be x(f). Solve -o = -b + g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 plus -70090992867998?\nAnswer: -70090992867999.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1308389 less than or equal to -1308388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 14*t + 2. Let c be 4\/((40\/28)\/(-5)). Let h be l(c). Factor 4*m + 3*m**5 - m**5 + 4*m**5 - 8*m**3 - h*m**5.\nAnswer: 4*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g**(-8)*g))\/g))\/(g**(-14)\/g))**(-5\/4) assuming g is positive.\nAnswer: g**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-5) - 6\/15. Suppose -g*i = i. Suppose i = -w + 27 - 5. Calculate the smallest common multiple of w and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40968.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76ad9d (base 14) to base 11.\nAnswer: 22aa377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -d - 2*q, 3*q + 0 = -3*d - 12. Suppose d = 2*c - 0*c - 60. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/2))**(-45)\/(d**(-2)\/d*d*d*d\/(d**(-1)\/d)))\/(d**(2\/5)\/(d**(1\/2)*d))**(-43) assuming d is positive.\nAnswer: d**(-359\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2430 take away 0.02?\nAnswer: -2430.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(2\/27)\/(h\/(h*h**3)*(h\/(h\/(h*h**(-4))))\/h) assuming h is positive.\nAnswer: h**(563\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plzzzpzppjmmm. Give prob of picking 1 z and 1 j.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + -32?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from wwwwddt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:33 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 32\/6)*3. Let u be (l\/(-6))\/((-1)\/(-3)). Let v = 513 - 509. Put 0, u, v in decreasing order.\nAnswer: u, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 570441 + -1354?\nAnswer: 567065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 - -4)\/(3\/(-33)). Suppose 6*g = -17 + 281. Calculate the greatest common factor of a and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 34 = -3*f, -6624*f = 15*u - 6625*f + 66 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 18*b**3 + 2*b**2 - 7*b + 7. Let z(l) = 9*l**3 + l**2 - 3*l + 3. Suppose 6*c = 22*c - 15 - 97. Calculate c*z(n) - 3*v(n).\nAnswer: 9*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -47879588 divided by -1\nAnswer: 47879588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 596, 3044, 7192, 13034, 20564, 29776, 40664?\n\"Answer: -r**3 + 856*r**2 - 113*r - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = -3*u - 4*l, -5*l - 33 = 4*u. Let s(k) be the third derivative of k**4\/24 + 7*k**3\/6 + 3*k**2. Let z be s(u). Solve z*r + 8 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 177, 1503, 5109, 12135, 23721?\n\"Answer: 190*q**3 - 4*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.573 rounded to one dp?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 301 = -i, -x + 3*x = -i + 281. List the prime factors of i.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**5 - 17*w**4 + 17*w**2 + 2*w. Let s(d) = -d**5 + 6*d**4 - 6*d**2 - d. Let c(x) = 6*q(x) + 17*s(x). What is the second derivative of c(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 8*i + 104. Let k be (-4 - -1 - -2) + 21. Let j be 1*5\/(k\/8). Which is the smallest value? (a) -3 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - -4 - (-26 - -25))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:03 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(119)*-1 + 5*sqrt(119)*1 + sqrt(119))\/(((sqrt(630)*2)\/sqrt(10))\/(sqrt(9) - (sqrt(729)*1 - sqrt(9)))).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -839*d. Let k(i) = 2*i**2. Calculate w(k(u)).\nAnswer: -1678*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(2\/3))\/m)**11)**(-24))**33 assuming m is positive.\nAnswer: m**5808","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 587 - 249. Let k be (5 - 2)\/(6\/4). Is (d - k - 3) + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 540*g - 729. Let y(m) = 108*m - 145. Let n(b) = 4*u(b) - 21*y(b). Is n(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 27 = 23. Let l(i) = i**3 + i**2 - 2*i + 4. Let d be l(0). Suppose -d*o = -42 + r. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 3 + 3)*(3 - 3 - 2) + (-1 + 3 + 0)*(1 - 6 + 3) - 3 - 3 + 4)*(-393*n**4 - 210*n**4 - 383*n**4) as l*n + f*n**2 + k*n**3 + m*n**4 + c and give m.\nAnswer: 1972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19852465 + 19852492.000006. Let d = g - 27. Round d to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476249 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -6. Let l be (-296)\/(-10) + (-3)\/t. Let i = l + -10. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 2*c - 7. Let y be r(-7). Let m = y + -37. Let p = -8 + m. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uguppugggpguu. What is prob of picking 2 p and 2 u?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5687, 22823, 51369, 91325, 142691?\n\"Answer: 5705*s**2 + 21*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z + 15. Suppose -4*p = 2*j, j = z*p - 0*j. Suppose 0 = -n, p*n - 5*n + 740 = 4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, 24.\nAnswer: 1, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10378 is divided by 2591.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*k + 4, -4*k - 67 + 39 = -3*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 - 4) - 2 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 799 - 589. Calculate the remainder when z is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775870 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*u**2 + 4*u**3 + 250 - 6*u**3 + u**2 + 8*u**2 - 150*u.\nAnswer: -2*(u - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 32*w - 5516102. Let x(j) = 3*j. Determine x(b(z)).\nAnswer: 96*z - 16548306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 918 and 9378?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 8. Let q(m) = -m - 1. Let h(d) = -i(d) - 8*q(d). Let y(w) = -w**2. Give y(h(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -23\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 521*d. Let n(z) = -3*z**2. Determine l(n(h)).\nAnswer: -1563*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2596024?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -131, 2 in ascending order.\nAnswer: -131, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*w**3 + 62*w**2 - 176*w**2 + 60*w**2 + 20*w**4 + 8*w**5 + 58*w**2.\nAnswer: 4*w**2*(w + 1)**2*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.64 - 43.36. Let t = j - -46. Which is the closest to 1\/4? (a) 0.9 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1039, 1030, 1019, 1006?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/2 - 1461*f**3 + 32275*f**2\/2 + 17598*f = 0. Calculate f.\nAnswer: -2933, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 7*t**2 + 31*t + 23. Suppose 280 = -65*l - 370. What is s(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/232 and -113\/12064.\nAnswer: 12064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 20 + -12 + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 1 + (-3 - -1) + -111 + 115 - 4\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + j + 8. Suppose 5*d - g - 9 = -6, -2*g = 5*d + 6. Calculate f(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and 47.53?\nAnswer: 47.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*m**2 + 54*m**2 - 33*m**2 - 7*m wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.776619 + -2.778. What is p rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (2 - 2 - 1). Suppose 0 + 10 = -3*t + 5*u, 4*t - 45 = -5*u. Suppose -3*c = p*s + s - 21, 2*c + 9 = t*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -17, -9, -1, 7, 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2229168, -4458480, -6687792, -8917104?\nAnswer: -11146416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45079 is divided by 490.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -46 (b) -4\/185 (c) -94.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhohhhhhhhhh. What is prob of sequence hhhh?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2474256 divided by 12.\nAnswer: -206188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (-54 + -6) - (0 - 10)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6709 + -6709.00006842. Round w to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1498 - -8908. Is k a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 2. Let u(w) = 4*w + 9. Let r(a) = a**3 + 11*a**2 - 12*a + 2. Let j be r(-12). Let k be 2\/(-3) + 87\/9. Calculate j*u(c) + k*n(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/5 (b) -1 (c) 25 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -510290 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 + y**2 - 3*y**2 + (-5 - 7 - 7)*(-3*y**2 + 2*y**2 - y**2).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -167292.\nAnswer: 1\/83646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 2*w + 24. Is n(0) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -2*x, 2*t + 20 = -5*x + 6*t. Let i be x\/(-2) + 0 + -2. Let w = -2 - i. Let p(m) = -m**2 - m - 8. What is p(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (-32 + 42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y + 7418429 + 1082371. Suppose 61*f - y = 72*f. What is f rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.00063\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + n + 2. Suppose -2*o = o + 3*t - 12, -5*o + 2*t = -27. Let b(z) = -z**2 - 2 - 11*z - 3*z**2 - 1 + 10*z. Determine o*i(r) + 3*b(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.45 or 1\/13?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 10*y - 7. Let b be m(9). Let i be ((-3)\/b)\/((-3)\/2 + 1). Solve i*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*10\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:21 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 677\/(-4739) - (2 - -2)\/168.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23020443972 - -1594\nAnswer: -23020442378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**5\/60 - 11*u**3\/3 - 8*u - 156. Let a(m) be the third derivative of w(m). Let c(z) = 88*z**2. Calculate a(c(s)).\nAnswer: -176*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18116947307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:00 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 187 = -35. Suppose 436*f - 430*f = -36. Let w = s + f. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, -0.4, -1\/6, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 2. Let y(c) = -381*c**2 - 4*c + 467. Let k(w) = 6*s(w) - y(w). Differentiate k(z) with respect to z.\nAnswer: 762*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/13 + 453\/26. Find the common denominator of -93\/2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(10)*5 + sqrt(1210)*-4)\/(sqrt(800)*5*2))**2.\nAnswer: 4761\/8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875756049.\nAnswer: 3, 7, 41702669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 7:53 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 5*w - 3. What is y(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418792448 to the power of 1\/3, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -182*p - 3. Let f(t) = -32*t. Calculate f(z(o)).\nAnswer: 5824*o + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22722160611 - 22722160546.999995124. Let t = -64 + b. Round t to seven decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5*y - 3. Suppose 2*a = -2*f + 327 - 339, f - 3*a = -2. Calculate w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 731400 and 0.06.\nAnswer: 43884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95771 and 149513.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/120*40\/(-510))\/((-2)\/(-12)*10)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:04 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22839 - 22854. Sort 16, g, -1\/3, -0.4, 1\/2 in decreasing order.\nAnswer: 16, 1\/2, -1\/3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 1, p: 1, m: 1, c: 1}. What is prob of sequence lhlc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140962.9922203 + -140963. What is r rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 9*z - 1. Let g(n) = 2*n - 1. What is -2*g(j) - o(j)?\nAnswer: -j**2 + 5*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 1.3 (c) 2 (d) -612\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 617106 by -31.\nAnswer: -617106\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2286*g + 1536*g + 26868 = -3708 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 73*u + 98658. Which is greater: u or -2350?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k + 7. Let u(m) = 13*m - 13. Let x(o) = -41*o + 585. Let z be x(14). What is z*q(a) + 6*u(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5 - 1029\/5*n**4 - 147\/5*n**3 - 228\/5*n + 126*n**2.\nAnswer: -3*(n + 1)*(7*n - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3097, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*(k\/(k**36*k)*k)\/k)*k**(-33) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -538.7 + 512.676. Let i = 0.024 + u. Let f = i + 29. Which is the second biggest value? (a) -4 (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/489 - -964\/3423. Let r be (59 - -4)*(3 - 2). Let k be 4\/r - 8\/28. Which is the smallest value? (a) -0.2 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, o: 1}. What is prob of sequence ottt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950080609?\nAnswer: 113, 373, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 24 = -4*g, -20*r + 24*r - 5*g + 30 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Let h be r\/(-3)*(-4 - -1). Suppose h*m + 2*m = 0. Is 1 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**4*f**3 + 2063*b**2*f**3 + 208020*f**3 wrt b?\nAnswer: -28*b**3*f**3 + 4126*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a micrometer in nanometers?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4996801389 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*h + 1807*h = 907*h + p - 47, 0 = -3*h + 3*p + 27 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4141*q. Let k(z) = -z. What is k(b(g))?\nAnswer: 4141*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 12:26 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 17?\nAnswer: -63\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/73 or 3\/587?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.157659245 - -3.897659935. Let p = c + -3.74. Round p to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -808069 and -34.54202.\nAnswer: -808103.54202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17680 divided by 260\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence memp when four letters picked without replacement from mehpoohymo?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1186916087 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -317? (a) 0 (b) -5 (c) -1 (d) -11 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.009 + 0.065. Let d = 1667.2 + -1667.2739852. Let y = a + d. What is y rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -84*z + 149. Let f(r) = -56*r + 100. Let g(i) = -7*f(i) + 5*h(i). Find the first derivative of g(v) wrt v.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2 + 3*g - 1. Let q(w) = -11*w**3 - 32*w**2 + 37*w - 9. Let x(s) = -3*q(s) + 3*r(s). Suppose x(l) = 0. Calculate l.\nAnswer: -4, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 23*p = 95 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n - 2. Let t be k(3). Solve -t = 3*x + 4*m - 11, -m - 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a5490 (base 11) to base 6.\nAnswer: 21352053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - a**3 + 0*a + 4*a**3 - 4*a**3 - 2*a**3 + (-2*a - 4 + 4)*(5*a**2 + a - a) + 4170*a + 56*a**3 - 4170*a.\nAnswer: 43*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:27 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Suppose -2*w + 3*c + 314 = 2*w, 3*w - 235 = 2*c. Suppose 2*i + 5*i = w. Calculate the remainder when i is divided by v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**3 + 3*n**2 + 2*n - 17. What is the units digit of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 608 = -39*v - 37*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*(2 + -2). Let p = 6 - c. Is 6 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 39 + 3*b + 58.\nAnswer: 3*b + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6 - (-304)\/(-336)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80428.02 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31820.9981261 - 31821. Round w to 5 decimal places.\nAnswer: -0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 36088*k**2 + 72180*k.\nAnswer: -k*(k - 2)*(k + 36090)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**35*n**(-5)*n**(2\/13))**(-16\/7) assuming n is positive.\nAnswer: n**(2512\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3600748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4\/4 - 5*w**3 - 3*w**2\/2 - 37*w - 148. What is u(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45979938716 minus -22?\nAnswer: -45979938694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**4\/6 - 2*j**3\/3 - j**2. Let w be 15 + -12*12\/12. What is b(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*3284\/(-12) + (-4)\/2. Let u = i - 577. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/7 + 9\/7*o + 9*o**2 + 75\/7*o**3 + 27\/7*o**4 = 0. What is o?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/3234 and 34\/35035.\nAnswer: 210210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 109330528 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: Suppose 5*p - 18 = -2*r + 6*r, -4*p - 3*r = -2. Let c(u) = u**3 - 13*u**2 - 136*u + 22. Let i be c(-7). What are the prime factors of 2\/(-6) - p*565\/i?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043657568 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 8. Which is the third smallest value? (a) 4 (b) 2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 11.85, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -358 (base 10) to base 11\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18374, -1, -5, 4 in increasing order.\nAnswer: -18374, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5\/8 + 473*m**4\/4 - 57327*m**3\/2 + 1313671*m**2\/4 - 2398979*m\/8 = 0.\nAnswer: 0, 1, 11, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12878*s**2 + 13*s - 4*s - 9*s.\nAnswer: -12878*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 1 = -6*j. Let n be j\/(-3) - (-17562)\/(-52794). Let o = -131953\/46928 - n. Find the common denominator of o and 41\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z - 20 = 0. Which is greater: z or -68\/7?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 - 2*g**3 - 12*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v. Let d(x) = 6*x**2 - 36*x + 73. Calculate z(d(r)).\nAnswer: -18*r**2 + 108*r - 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xigjjfg. Give prob of sequence xji.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -142716, -285433, -428150, -570867, -713584?\n\"Answer: -142717*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/36 and 103\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1815) - sqrt(1815)) + sqrt(1815) + sqrt(1815) + sqrt(15))\/(sqrt(45)\/sqrt(36))*4.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3512, -3481, -3446, -3413, -3388, -3377, -3386?\nAnswer: -3421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/13 (b) 79 (c) 2\/13 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 40 = -j. Sort j, -5, 1, 0 in descending order.\nAnswer: j, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*f**2 + 66*f**2 + 82*f**2 - 1 + 9 + 70*f**2 + 68*f**2.\nAnswer: 5*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10032 or 10042?\nAnswer: 10042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/17 + 7686*k**3\/17 + 7349652*k**2\/17 - 66631896*k\/17 + 133541136\/17 = 0?\nAnswer: -1926, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*sqrt(200)*4*-2.\nAnswer: 1600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1996 - -2252.6. Let p = s - 255. What is the fourth biggest value in -3, -0.2, 0.4, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 e when four letters picked without replacement from {e: 8, h: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000025881 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7 - ((-15)\/20 + (-15)\/12)) + 235 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340 - 488 + 1038 - 3*z - 278 - 333.\nAnswer: -3*z - 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6 and 73\/8032.\nAnswer: 24096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 250 + -3707565?\nAnswer: -3707315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001010001001001 (base 2) to base 7.\nAnswer: 610512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 2. Calculate r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -112211?\nAnswer: -112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*0.4.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -3. Let f(i) be the first derivative of -3*i**2\/2 - i + 2. Let a(x) = -4*x - 1. Calculate u*a(b) + 5*f(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 5705 = -c + 9*v, -4*c - v = -22765. Suppose 5*s - 3*s - 2854 = 2*n, -4*s = 5*n - c. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -509.6 to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 times -0.4\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puqpuuppupupppuuppu. What is prob of picking 1 q and 3 u?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449, -830, -1213, -1598, -1985?\nAnswer: -2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 44*d + 45*d + 14 = 0, 0 = x + 2*d - d + 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, n: 3}. What is prob of picking 3 m and 1 n?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 11*p + 8. Let z be n(-11). Suppose -3*m = -z*m + 495. Is 39 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0829 and 3?\nAnswer: 0.2487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88284 and 1484?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/30? (a) -8421 (b) -0.2 (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-656600)\/(-224))\/67)\/((-2)\/(-16)*5)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b**3 - 2*b**4 + 41*b - 2*b**2 + 8*b**3 - 27*b in the form c*b**4 + w + s*b**3 + x*b**2 + l*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10026 and 262815.\nAnswer: 878327730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*a**3 + 7420 - 7420 - 456*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1\/2*g**2 + 6 + 0*g - 1\/3*g**3. Factor y(v).\nAnswer: -v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -9 (c) -2 (d) 341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6) + (-560)\/(-30). Calculate the greatest common divisor of n and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -271*m - 260*m - 269*m + 785*m. Let p(w) = -10*w. What is x(p(k))?\nAnswer: 150*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/9 at least 5345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 16*t**2 - 8*t + 580. What are the prime factors of k(-16)?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -14 + 25 + -14 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -637, -321, 4, -1 in increasing order.\nAnswer: -637, -321, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:18 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 14 + -18 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmgs when four letters picked without replacement from ggggsgmsmgigss.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + sqrt(2057) + 0 + 4)*5 + -1)**2 + -5.\nAnswer: 4180*sqrt(17) + 206056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10 and 43\/1900.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -27 + 0 + (-4)\/10. Let q = 123\/20 + a. What is the common denominator of q and (10\/(-35))\/(2\/(-12))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*q + 217 - 6517. What is the highest common factor of q and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13572 (base 8) in base 13?\nAnswer: -2974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a + 102 + 13*a + 12*a.\nAnswer: -4*a + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9430.6 and -0.15.\nAnswer: -9430.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**7\/420 - c**5\/20 - 13*c**3\/6 - 5*c. Let p(d) be the second derivative of y(d). Find the second derivative of p(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -10203*y**2\/2 - 3035403*y - 12495\/2 = 0?\nAnswer: -595, -7\/3401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846549340 to the power of 1\/2, to the nearest integer?\nAnswer: 42971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 15*h**2 - h - 20. Determine a(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -1, 3, 7, 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 65 + 18 - 130)*(1 - 2*k - 1).\nAnswer: 316*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -0.47?\nAnswer: -8.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 1. Suppose -4*x = -11*x + 49. Let k(c) be the second derivative of c**4\/12 - 7*c**3\/6 + 3*c**2\/2 - 2*c. Let m be k(x). Give p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 10 - 115. What is the hundreds digit of (-3)\/(-9) - (-4697)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 30 = i, -106 = -3*i + 2*g - 16. Calculate the lowest common multiple of 24 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 277*k = -2412 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -48.4. Let m = -4 + 5. Which is the second biggest value? (a) 0.32 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.196 - 1.2. Round z to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 1)*66\/(-440). Which is the third biggest value? (a) o (b) -2\/7 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35878830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43336, -43337, -43338, -43339?\n\"Answer: -o - 43335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 7.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 90867, 90841, 90633, 90153, 89311, 88017, 86181, 83713?\n\"Answer: -15*i**3 - i**2 + 82*i + 90801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.182446us in days?\nAnswer: 0.000000000546093125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (17708\/11 - (-6)\/33). Let m = -501 + r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 2 - 2 + 1. Let m(k) be the third derivative of -k**6\/120 + 3*k**5\/20 - k**4\/12 + 8*k**3\/3 - 40*k**2. Let j be m(9). Determine t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117090424 divided by 1564?\nAnswer: 74866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b**2 - 4 + 4 + 106*b**2 + 34*b**2.\nAnswer: 258*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 976?\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32800\/280 + -117 - (2 + (936\/(-14) - 1)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 1896*a**4 - 948*a**4 - 18*a**5 + 108*a - 107 - 948*a**4. Differentiate f(l) wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6114, -24410, -54904, -97596?\n\"Answer: -6099*x**2 + x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13836*a - 3*a**4 - 14635*a + 1 - 1628*a**5 + 3*a**4 wrt a?\nAnswer: -32560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2020*1.22.\nAnswer: 2464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 - -2202?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (93 - 103) + 7 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = j - 3*y + 6*y, -5*j = -5*y + 75. Suppose -4*q + 2*m = m - 288, 3*q - 3*m = 216. Let x = q + j. Calculate the greatest common divisor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 + 4 = 0. Let n(d) = -2*d - 6. Let u be n(r). Does 4 divide -12*6\/(-9) + u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 6 + -1 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 150535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248688 is divided by 82888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s**3 - 1 - 3*s**2 + 2*s**2 - s + 10*s**3 - s**2. Let j(o) be the first derivative of -o**3\/3 - o**2\/2 + 1. Determine c(x) - j(x).\nAnswer: -x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 6822?\nAnswer: -13644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 1, 2, 2516.\nAnswer: -46, 1, 2, 2516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: add7 (base 14) to base 9\nAnswer: 45350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 289478310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(10\/(-80)). What is the remainder when 53 is divided by 5 - (j - (1 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-347)\/1041)\/(-4*3\/1332).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 1. Let u(c) = c**2 - c + 1. Let q(v) = v**3 + 2*v**2 + 5*v + 1. Let k(f) = q(f) + 5*u(f). Determine 6*d(o) - k(o).\nAnswer: -o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 589173 + -590094.766. Let w = u - -923. What is w rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -112. Let f be (10\/15)\/(o\/3) + -9. Which is bigger: -13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 62 (c) -89 (d) 88 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2)**2*-1*4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 18905 - 18909 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -9 + 14 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234923 and 2652?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 87*w\/2 + 279.\nAnswer: -(w - 6)*(w + 93)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**3 + 5*s**2 + 14*s - 2. Let a(f) = -f**3 - 2*f**2 - 4*f + 1. Let h(l) = 5*a(l) + m(l). Suppose -12 = 2*o - 4*o. Calculate h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -7. Let p be (2 - 2) + (-2)\/(-4). What is the nearest to p in -0.3, 4, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4020 = -66*x - 456*x - 103*x + 4730 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 391, -19, -2, 0.1, 4 in descending order.\nAnswer: 391, 4, 0.1, -0.2, -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 3*w + 7*w + 3*w - 3*w + w + (6*w + 20*w + 17*w)*(1 - 5 + 3) - w + 2*w - 2*w - 4 - w + 4 as f*w + x and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 + 3*w - 6. Let j(o) = 6*o**2 + 3*o - 6. Let g(z) = 4*j(z) - 3*k(z). Let d be g(-3). What is the greatest common divisor of 120 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1665 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48716 or 4328?\nAnswer: 4328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.07*4.1.\nAnswer: -168.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 0.7 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*z**3 - 86*z**3 - 3*z**2 + 0 + 0.\nAnswer: -7*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5366 - 1688 + 3352 - 610)*(-2 + 2 + 2*z**2) as k*z**2 + f*z + i and give k.\nAnswer: 12840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134277 or -134280?\nAnswer: -134280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4, x - 14 = -8*b + 3*b. What is the remainder when 55 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(3*p**2 - 3*p**2 + 2*p**2 + (2*p - 3 + 3)*(-3 + 3 + 2*p))*(-77*p**3 + 6*p**3 + 5*p**3).\nAnswer: 396*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/464880 and -67\/630.\nAnswer: 9762480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227722 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 5*s**2 + 2*s**2 + (-s + s + s)*(s + 4*s - 2*s) - 79 + 79 - 158*s**2.\nAnswer: -159*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 - -159477.34\nAnswer: 159477.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 4. Let h be p(4). Let u(t) = 5*t**3 + 7*t**2 + 5*t + 12. Let n(o) = 4*o**3 + 6*o**2 + 4*o + 11. Let m(j) = 6*n(j) - 5*u(j). Determine m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/50 + m**4\/15 - m**3\/15 - 2*m**2\/5 - 19*m. Factor i(a).\nAnswer: 2*(a - 1)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 2\/7, 49, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -727, 5, -1, -5, -9, 0, 140 in ascending order.\nAnswer: -727, -9, -5, -1, 0, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/222, 0, 5?\nAnswer: -1\/222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158\/7 or 2?\nAnswer: -158\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b + 202*b - 23932 = 1487 for b.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 - -114.51. Let z = q + -0.56. What is the closest to 1\/2 in 3\/7, z, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -19 - (-2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 - 21*r**3 + 6*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 56, 123, 222, 359, 540?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -998*a**5*o**2 - a**3*o**3 + a**2*o**3 - 201*a**2 + 4*a*o**3 wrt a.\nAnswer: -59880*a**2*o**2 - 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose 4*n = 3*n - o. Let p be (n + 0)*(-1)\/1. Solve -6 = -p*d + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + 10*y - 8*y + (-3 + 3 + 2*y)*(1 + 1 - 1) - 4*y + 5*y + 0*y - y - 2*y + y - 114*y + 211*y - 175*y as g*y + w and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 + -2.4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j + 17. Let k be (-7)\/2*4\/(-2). Let b be v(k). Let g = 83 - b. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196320?\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.2 and -1.11?\nAnswer: -34.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*y + 107520 = 85*y. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10723 = 145*m - 19423 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -350*p + 347*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 - 1. Let g(n) = 4*n**3 + n**2 + 3*n + 2. Let w(v) = -g(v) + 3*l(v). What is the units digit of w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r = 471*r + 225*r - 25584 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1917*s**5 + 2*s**4 + s**2 + 81032*s.\nAnswer: -38340*s**3 + 24*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 36 - 13)*(1 - 1 - 2*x).\nAnswer: 78*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 - 90 = 17*t. Let r be 190\/18 + 2\/6. Let x = r + t. Put 5, 4, x in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78875260*g*w**3 - 28315*g*w + 291*w**2 + 5 wrt w?\nAnswer: 473251560*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-1 - -2) - (188 - (159 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-12)*22*347523. Let o = 274251 - a. Round o to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*o**4 - 259829*o**3 - 179086700*o**2 - 1946061012*o - 81621936 = 0 for o.\nAnswer: -1362, -11, -4\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 2*i + 3. Let v be k(3). Let a be (v - 1) + (6 - 3)*-1. Solve d = r + 1 - 9, 0 = 4*d + a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3020 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6708 and 41329106?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5690488.21 rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c**2 + 5*c + 14. What are the prime factors of d(-5)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-2))\/9)\/(2\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*s**2 + 3*s**3 - 3*s - 8 + 102*s**3 - 283*s**2 + 8.\nAnswer: 105*s**3 - 416*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 42547 = -3*p, -118*j = -114*j - 3*p - 85079. Is j a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/(855\/10)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9 + (-2004)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + l)*((-3 + 3 + 2)*(3 + 5 - 6) + 0 - 2 + 3 - 5 + 15 - 2)*(9*l - l + 3*l).\nAnswer: -429*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 25 (b) 4 (c) -87 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 880 + 0 = 0. Calculate the greatest common factor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 13*f - 30*f + 17*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*g = 1194, -4*g + 225 = y - 8*g. Calculate the remainder when 13269 is divided by y.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201 + -11?\nAnswer: 20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 1, d: 5, o: 4}. What is prob of picking 2 o and 1 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 9:14 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 258881009435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(40\/(-6))*4. Suppose 11*j + 70 = -3*y, 30 = 23*j - 26*j - 3*y. Let d = 3\/67 - 143\/201. Put 0, b, j, d in descending order.\nAnswer: 0, d, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -93*b + 187. What is q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181681 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -17. Let i(y) = k*y - 4 + 3 - 2*y - 2. Let u be i(-2). Sort 4, -4, u.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*q + 16, 5*q = -5*t + 3*t - 32. Let o = -94 - -157. Suppose 7 - o = 4*c. Is c >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 86114265 and -0.02.\nAnswer: 86114264.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (1 - 4)\/(-3). Let w be (-3)\/x*(-30)\/3. Let h = w + -8. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by -53.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126629 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 241? (a) -0.4 (b) 19\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 1011101010110?\nAnswer: -1011101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 45\/94 (b) 0.056 (c) -9.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/883168 and 25\/3536?\nAnswer: 15013856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 3.9. Let u = 3.9 - w. Let t = 0.0183 + -1.0183. Which is the nearest to 0.02? (a) u (b) -2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -v, -4*d = d. Let k = -7 - v. Let h(w) = 3*w - 4. Let q(g) = 2 - 35 - 92*g + 67*g + 49*g. Calculate k*q(z) + 33*h(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 8*w = -4*q - 80, 3*q - 15 = 0. What is the remainder when 1 + 3 - w\/(300\/(-495)) is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3 + 12. Let y(c) = -c**3 - 4*c**2 + 5*c + 4. Let r be y(g). Calculate the greatest common divisor of 44 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3270.6, -2, 3, 3.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/(14*(-41)\/1148).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.570506 rounded to two decimal places?\nAnswer: -2.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 19 + 9*d + 3 - 10*d - 7 - 14. Let a(k) = -5. Suppose -7 = 4*i - 3. What is i*a(f) - 5*p(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 604299 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-12))\/(20\/150)*9746\/5. Calculate the highest common factor of i and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 11*l**5\/20 - 2*l**4\/3 - 10*l**3\/3 + 7*l - 14. Let j(o) = 4*o**3 - 3*o**2 - 7*o. Give 17*j(n) - 6*k(n).\nAnswer: 2*n**3 - 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - ((32 - 28) + -18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -91258, -364787, -820654, -1458859, -2279402?\n\"Answer: -91169*b**2 - 22*b - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.1762 less than 0.044?\nAnswer: -44.1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4368 and 23406474?\nAnswer: 187251792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207117*x + 103555*x + 103470*x.\nAnswer: -92*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 3*c**2 + c**2 - 1.\nAnswer: 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7. Let a(n) = -2*n - 7. Let c be a(0). Let z(o) = 2*o**2 + 22. Give c*x(b) + 2*z(b).\nAnswer: -3*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 13*t**2 - 13*t - 33. What is m(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -310.17 + 7.17. Let z = -5519622358.5 - -5519622661.50000137. Let c = z + s. Round c to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 0, 2*s = -5*u + u + 132. Suppose 0 = -31*z + u*z - 16. Solve -z = 3*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799 = -94*d - 329. Let g(f) = -6*f - 8. Let v(h) = 7*h + 8. Determine d*v(j) + 6*g(j).\nAnswer: -j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-18) + 104577\/735966*3 and 131\/6?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1799 is divided by 105.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/5 of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222 - 99. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191.4 equal to 10175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2345 + 2571. Let a(n) = -n**2 - 12*n - 21. Calculate the least common multiple of a(-9) and k.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 14, u: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 149600 and 74212.\nAnswer: 2775528800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2729381\/1345435 - -2\/38441. Find the common denominator of f and 2*-1 - (-140)\/125.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let w(b) = -2*b**2. Let n(h) = h**2. Let s(l) = 3*n(l) - w(l). Give s(y(z)).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4633 is divided by 169.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 616*f - 6*f**2 - 614*f - 2*f**2 - 17*f**3 - 3 + 1 as z*f**3 + c*f**2 + s + q*f and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*j. Let d(i) = -24*i + 105. Let o be d(3). Suppose -2*m + 29 = 5*a, 0 = j*m - a - 26 - o. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.06 + -0.06. Let i = -0.02 + 0.32. What is the nearest to d in i, 0, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*v + 901 - 901 as m + b*v and give b.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 times -3006.42?\nAnswer: -2747867.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 18*s**2 - 35*s**2 + 0*s + 9*s**2 + 9*s**2 - 4*s - 28. Give z(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 754 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 + -24 - 1883885)*2\/(-1). Round u to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:01 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12321766 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + 13 + -9)\/(1\/6). Let a be (s + 224\/36)*-1. Let z = 8.8 + -9. Put a, -1, z in increasing order.\nAnswer: -1, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5 = a, -8*a = -4*a - 5*x - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 23 - 5 + 0 + 15*b**2 - 6*b**2 - b**3 + 21*b. Factor y(h).\nAnswer: -3*(h - 7)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1165 + -1161. Let q = -2\/467 + 940\/1401. Let v(i) = -2*i - 7. Let f be v(-6). What is the nearest to q in 0, f, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20684*j = -5*n - 20682*j - 23, 5*n + 23*j + 8 = -40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 11*s**2 - 25*s - 7. Calculate q(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:32 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.1761 to 1 decimal place.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204 - -251. Let f = g + 36. Suppose -2*z - 3*t - 11 + 66 = 0, 3*z = -t + 86. What is the remainder when f is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 78. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-30) - 252\/(-135). Let s(h) = 5*h - 2. Let i be s(2). Suppose -g*v + 2*p - i = 0, 7*v - 2*v + 4*p - 16 = 0. Solve v = -3*x - 11 - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7528 is divided by 110?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3794574265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(2) + (sqrt(128) - -1*sqrt(128) - sqrt(2)) - (-2 + 1*sqrt(2)) - 2*(-3 + sqrt(2) + sqrt(2)*-1 - sqrt(2))))**2.\nAnswer: -3210 - 1360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417 - 395. What is the greatest common factor of 374 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101\/2 - -52. Suppose -6*w - 10 = -w. Let k be -2 + (-2 + -2 - w). Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4688 + 4677. Sort -6, -2, q, 9.\nAnswer: q, -6, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -828387*i**2 + 4 - 11*i**4 - i**3 - i**3 + 828386*i**2 - 3*i in the form f*i**4 + m*i**3 + q*i + v*i**2 + h and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 28. Let j = o - -1. Suppose 216 = j*a + 45. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.004*0.41\nAnswer: 0.00164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1390608 divided by -12876?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/(-5) + (-212)\/265. Suppose y = 3*d + 2*o - 0, -2*o + 14 = -4*d. Sort d, -5, -11 in decreasing order.\nAnswer: d, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 8:49 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10) - 688185\/27975.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 - -0.1?\nAnswer: -157.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 43*g**2 + 34*g - 1766. What is the smallest common multiple of f(-41) and 2222?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -38 - 7. Let r be 2\/((2 + -1)\/9). What is the greatest common factor of r and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(h + 1 - 1) - 19*h + 4*h + 8*h)*(3*h**2 - 5*h**2 + h**2).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 - 8*o - 6. Suppose -5*x - 4*q = -5, 3*x - 7*q + 2*q = -34. Let c be p(x). What is the greatest common divisor of 48 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 351057*f**2. Let w(z) = 12*z**2. Determine a(w(o)).\nAnswer: 50552208*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**2 + 447*h + 512. Let n(o) = 90*o**2 + 5834*o + 6656. Let k(b) = -38*a(b) + 3*n(b). Factor k(p).\nAnswer: 4*(p + 1)*(p + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 270, 217, 100, -105, -422, -875, -1488?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*w - 299*w - 57 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 0*w**3 + 2*w + 0*w**2 + 0*w**4 - 6 - 1\/5*w**5. What is the first derivative of k(i) wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18831 divided by -21.\nAnswer: 6277\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59167502 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 16*j - 44. Suppose -y = -3*r + 46, r + 3*y - 70 = -3*r. List the prime factors of p(r).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13*r + 183. Let h be ((-6)\/(-3))\/((-6)\/(-27)). Let u be i(h). Calculate the highest common divisor of 110 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a6cedb - 5?\nAnswer: -1a6cee1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301 + -1.088.\nAnswer: -302.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-8))\/(6\/(-76)). Let m = j - 31. Let l = m - -21. What is the remainder when 26 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-one halves of a decade?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + (81 - -56) - 16.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -85 (b) 5425 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -495 or -478?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633509*z - 10 + 718070*z + 10.\nAnswer: 1351579*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/702 - (-1230)\/12*2\/(-120)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303231 + 11?\nAnswer: 303302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c7a8 (base 16) to base 9.\nAnswer: 306816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 26*z**2 + 3*z + 3. Determine d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-30))\/((-7)\/(-14))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/24 + h**3 + 6*h**2. Let u be v(4). Determine s, given that 12*s + 8\/3 + u*s**2 - 25\/3*s**3 = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 3229*a**4\/12 - 2564*a**3\/3 - 3541*a. What is the second derivative of g(u) wrt u?\nAnswer: 6458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 4*l + 2*l)*(0*l + l + 0*l) + 4*l - l**2 - 4*l + (-l + 0*l - l)*(3*l - 4*l + 3*l) + l - l + l**2 to f*l**2 + k + m*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 20 = 2*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -761\/28 or 33?\nAnswer: -761\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302 + -441. Let l = -135 - f. Let v(r) = -2*r**2 + 5*r + 3. Calculate v(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660, -1121, -1576, -2019, -2444, -2845, -3216, -3551?\nAnswer: -3844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 3*i + 6 + 0*i. Suppose r - 20*g = -15*g - 6, 4*g = -r - 15. Let f(j) = -1 - j + 3 - 3. Determine r*f(s) - 2*h(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -36251 (base 13) in base 9?\nAnswer: -161148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4 - 22*a**3 + 40*a**2 = 0.\nAnswer: 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 7)*(-5*n + 2*n + 4*n)*(86*n - 3026 + 3026) in the form o + s*n + p*n**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 9:17 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -366, -705, -1030, -1341, -1638?\n\"Answer: 7*v**2 - 360*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 - 145*f**3 + 715*f**2 - 575*f = 0. Calculate f.\nAnswer: 0, 1, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 2. Let r be i(-3). Suppose -f = 5*p - 6 - r, 5*p - 5*f = 35. Let m = p + -8. Is -3 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 10. Let o be s(-12). Solve o*u = -u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 6 + 28*c**2 - 22 - 2*c - 15 + 15 + c**2 + (2*c - 6*c + 3*c)*(-2 - 2*c + 2) to the form s*c + b + h*c**2 and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/5, -4.3, 16\/85, -0.04, -9?\nAnswer: 16\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27020233561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + 3.2. Let x = -19 + 0. Let v = 19.5 + x. What is the smallest value in d, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -4*g**3\/15 - 644*g**2\/5 - 103684*g\/5 - 26. Factor o(l).\nAnswer: -4*(l + 161)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7562*b**2 + 14*b - 16. Let t be g(1). What is the highest common factor of 35 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2207*i*t**3 + 4*i*t**2 + 25*t**2 + 2*t wrt t.\nAnswer: 13242*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 603077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1024 - 14?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/891 and 74\/297?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-54))\/((-3)\/243) and 101\/102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n**3 + 1\/40*n**6 + 1\/12*n**4 + n**2 + 0 + 0*n**5 + 0*n. What is the second derivative of f(m) wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*(0 - -2). Let v(i) = 282*i - 283*i + 1263 - 1263. Determine v(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a - 15 = 0. Let b be 0 + (-12)\/(a + -6). Suppose 3*n = 5*w - b - 9, 20 = 5*n. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/4 (b) 5\/13 (c) -5 (d) -3 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9900, -9888, -9868, -9840, -9804, -9760, -9708?\n\"Answer: 4*b**2 - 9904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (10 - -9) + 4 + 5 + 2 + 74?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9786 and 21504.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 36545848613703?\nAnswer: -36545848613703.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) -616\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15801 (base 10) to base 6.\nAnswer: 201053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from {u: 2, y: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 121 = -48*g + 50*g, -r - 149 = -3*g. What is the remainder when 180 is divided by g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/264*15\/(-2). Let z = i + 51\/44. Put z, -4, 2 in decreasing order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26\/639, -0.1, -4, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/29 in -0.06, 0.3, -0.2, -0.4, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 - 5*q + 1. Let m be b(-5). Let l(f) = 9*f**2 + 2*f + 1. Let z be l(-1). Let t be z\/(6\/3) - 2. Is t bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2567095 greater than or equal to -2567029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let m(z) = 17*z**2 + 447*z + 1. Give m(v(i)).\nAnswer: 68*i**4 - 894*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2591 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 27. Suppose j = -3*r + 4*f + 191, 2*r + 0*f - f - 119 = 0. Calculate the highest common factor of r and 570.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 - u + 2. Give v(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvduuovzovoovvoouoo. Give prob of picking 1 o and 1 u.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12390868 to the power of 1\/2, to the nearest integer?\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/184*((-12)\/(-92))\/(171\/760)?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -2861 in descending order.\nAnswer: 2, -2, -2861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -995*l + 986*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1934*j**6 + 109*j**2 + j - 1?\nAnswer: 232080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*i**4 + 102*i**4 - 10*i**2 + 6*i**3 - i**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4295 + -1890. Let b = f - -6185.05002. Let v = 0.05 - b. What is v rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04692 + -0.04692. Which is the smallest value? (a) 3\/4 (b) n (c) 0.1 (d) 4 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 2*v**2 - v + 1. Let w = 11 + -15. Is h(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48 from 0.69143.\nAnswer: 48.69143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 411 and 73?\nAnswer: 30003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13*q**3 - 11*q**2 + 9*q + 10. Let p(c) = c**3 + c**2 - c. What is l(w) + 6*p(w)?\nAnswer: -7*w**3 - 5*w**2 + 3*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 14*g - 13*g - 24, 5*g - 2*u = 57 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 54 = -504. Let v = j - 108. Suppose 4*f = -26 + v. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 30. Suppose -3*z + 3*z = m*z. Suppose -d - 15 = -3*q, -q + 19 = -z*q - 5*d. Solve -q*n = n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197803 - -791211\/4. Let d = 0.5 + -0.1. Sort 2\/7, d, h, -1 in decreasing order.\nAnswer: d, 2\/7, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 114*t + 12867. Give x(-113).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1021*b + 13*b + 458*b)*(13 - 4*b - 13).\nAnswer: -5968*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g + 2. Let v(u) = u. What is v(s(m))?\nAnswer: 11*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/(-1)*38. Let m = f + 24. Solve 3*t = s + m, 3*t = -0*t + 4*s + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/3, 1.3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 24*n + 14. Let g be x(-24). Calculate the highest common factor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {l: 3, a: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - aa122a?\nAnswer: -aa1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.024 and 0.591.\nAnswer: -0.014184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59605)\/(-917))\/((-234)\/24).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(625))\/sqrt(5) - -3*sqrt(500).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2121118 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(20\/16) + (0 - -1). Let i be l + 3\/((-252)\/(-260)). Sort -2, -1, i.\nAnswer: -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 - 77?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**0)*v)\/v)\/v)\/v)**(-4\/35)*((v\/(v\/v**(2\/3)))\/v*v)\/((v**0\/v)\/v) assuming v is positive.\nAnswer: v**(304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1048)\/(-52) - 4\/26. Let y(p) = -p + 19. Let c be y(j). Let r be 2\/4 + (-15)\/(-6). What is the nearest to c in r, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1263, 1\/2, -32669?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwxx when four letters picked without replacement from fwwxxwxxwwwww?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let v = 167 + -166. Let w(x) = -v - 90*x + 0 + 31*x + 37*x. What is n(w(m))?\nAnswer: 22*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 752 (b) -3.9 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.13 and -570291612.\nAnswer: -570291611.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 13*q**2 + 12*q - 9. What is v(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3556225007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 - -0.00425.\nAnswer: -19.99575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7531 from -45712.65.\nAnswer: -45713.4031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 425 (b) 12 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*i + 12 = 0, -3*v + 2 = -6*v + 4*i. Suppose -s - 5*a + 40 = 0, 0*a + 119 = v*s - 3*a. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 14. Is h less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1150 + -326.54\nAnswer: 823.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 19. Let f(x) = -x**2 - 7*x + 7. Let o be f(-5). Let y be d(o). Let s = 909 - 904. Which is the closest to 3? (a) -0.3 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 13924 + 39664 + 287480 = 0. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = -55*o - 50*o. Determine w, given that -5\/4 + 5\/2*w**3 + o*w - 25\/4*w**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 - m**2 + 7*m + 5*m**2 - 6 + 5*m. Let y be d(11). Let o = 10 + y. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 7*y**3 + 4 + 14*y - 4 - 6*y**3 - 2*y**3 in the form h + o*y**2 + d*y + f*y**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1536) - sqrt(384)*-3)\/(6*sqrt(1200)*2*-2).\nAnswer: -3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -1\/30*a**6 + 0*a**3 + 4*a**2 + 0*a**5 + 0 + 0*a + 1\/24*a**4. Find the second derivative of g(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 13. Let y = l - -3.5. Let j = -1 - y. Which is the third smallest value? (a) j (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 7130357\nAnswer: 14\/7130357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 23*f**6\/8 + f**4\/12 + 2*f**3 - 105*f**2. Find the second derivative of t(u) wrt u.\nAnswer: 2070*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 565.7262 + -564.4. What is h rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7567 (base 16) to base 2\nAnswer: 111010101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/(-152))\/(2 + 42\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3990\/3325 + (-6 + 5 - (-772)\/(-10)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 - 312461*q**2\/3 - 624925*q\/3 - 312463\/3.\nAnswer: (q - 312463)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2174456*o**2 - 4349067*o**2 + 2174518*o**2.\nAnswer: -93*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 51*j + 33. Let q(m) = -3*m**2 - 45*m - 33. Let k(n) = -2*o(n) - 3*q(n). Let s(g) = -g - 1. Determine -4*k(y) - 132*s(y).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 106*q - 5. Let f(d) = 107*d - 7. What is 2*f(a) - 3*j(a)?\nAnswer: -104*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -833, -1664, -2771, -4154, -5813, -7748?\nAnswer: -9959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 910 + 2916. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 71.821 * -2.\nAnswer: -143.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d - 1. Let f be h(-3). Solve -4*p - 4*a - f = 0, -6*p + 3*a = -3*p - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26003293*k - 12968405 wrt k.\nAnswer: -26003293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 70 (c) 1.6 (d) 5 (e) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -34, -57?\n\"Answer: -23*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401989.5ng to tonnes.\nAnswer: 0.0000000004019895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 151 = -6. Let k = h + 15. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6056 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 9 - 13, 5*c - f = -23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 34*a - a**2 - 4*a**3 - 1 - 74*a + 39*a to the form l*a + v*a**2 + y + w*a**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -23. Let q = 35 - g. Let k(o) = 2*o**3 - 2*o**2 - 2*o + 1. Calculate the remainder when q is divided by k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124c99 (base 15) to base 14.\nAnswer: -18b849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 9922, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21409*v**2 + 3755*v wrt v.\nAnswer: 42818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 43*q**2 + 41.\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -863, -1328, -1793, -2258, -2723?\nAnswer: -3188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 + 13 = -2*v, -3*v - 13 = -2*g. Solve -8\/5*r - 2\/5*r**g - 6\/5 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 9*d + 3*t = -1, 11 = 4*d + t. Let c be (-3 + (-27)\/9)\/d. Let u = -24 + 121\/5. What is the third smallest value in u, -0.2, c, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-2 - (-14)\/4). Let r(n) = 5*n**2 + 4. Let m(s) = -4*s**2 - 3. Let c(h) = i*r(h) + 4*m(h). Let v(j) = 2*j - 7*j - j. Determine v(c(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 124373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415, 807, 1199, 1591?\nAnswer: 1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**2 + 7 - 7 - 28*d**2 - 10 + 71*d + d**3 + 42*d**2 in the form c*d**3 + u*d + p + g*d**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**3\/6 + 6*d**2 - 14*d. Let z be g(-8). Suppose 0 = z*w - 480 - 116. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)*3*1. Suppose 2*d + 0 = u + 5, -5*d + 40 = p*u. What is the units digit of (14\/(-1))\/(3 - d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10, -1\/3, 19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12602902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000111704029 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*v - 12 = -206*v. Calculate the greatest common divisor of 624 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*x**4 - 26*x**3 + 1369*x**2 + 2*x + 787094?\nAnswer: -300*x**2 - 156*x + 2738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/19)\/(z\/z**(-2\/11))*(z**(-1\/9)\/z)\/z*z*z*z**(-6) assuming z is positive.\nAnswer: z**(-13520\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 25. Let p(b) = -3*b + 26. What is -6*j(q) + 7*p(q)?\nAnswer: -3*q + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 - 14408*o**2 - 215156*o + 229568 = 0.\nAnswer: -3587, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 737, -334, -2109, -4588, -7771, -11658, -16249?\n\"Answer: -352*i**2 - 15*i + 1104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131 - -198. Let l = a + -67.54. What is l rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j**2 + j. Let w(r) = -11*r + 1 - 12*r - r**4 + 32*r - 2*r**2 - 13*r. Let g(d) = -2*l(d) - w(d). What is i in g(i) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770165177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**2 - 71 - 4*d**2 + 66 + 3*d**3 + 2*d + (6 - 1 - 3)*(-3*d**3 - 2*d**3 + 2*d**3).\nAnswer: -3*d**3 + d**2 + 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 695685, 1391366, 2087047, 2782728, 3478409, 4174090?\n\"Answer: 695681*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 7*x**3 - 2*x + 15*x**3 - 3 + 0*x**3 - 7*x**3. Let r be t(3). Suppose 6*b = r*b - 252. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5)*(-20)\/(-44). Suppose 8 = -4*c + 20*g - 23*g, g + 7 = 3*c. What is the nearest to -1\/4 in d, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*j, 4*j = -10*g + 15*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -757.\nAnswer: 28\/757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 10*s**2 + 6*s + 309. Give u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 654 - 653.64. Put m, 4\/7, 1 in decreasing order.\nAnswer: 1, 4\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 387971.3 nanoseconds?\nAnswer: 0.3879713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.77 times 0.041?\nAnswer: 1.42557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7005*a**4 + a**2 + 59898*a wrt a?\nAnswer: 84060*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 o when three letters picked without replacement from {h: 8, b: 3, o: 2, f: 1, s: 5}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*(5\/10 - 0). Suppose 2*h + 0*x - 1042 = x, 2605 = n*h + 5*x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-5*sqrt(357))\/sqrt(7))\/(-1*(sqrt(3) + (4*sqrt(243) - sqrt(3)) + sqrt(3))).\nAnswer: 10*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.8145 months in centuries?\nAnswer: 0.01817875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/3 - 8296*x**2\/3 - 2870414*x - 5729772 = 0?\nAnswer: -2073, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w*w**(-3\/2)*w)\/w*w)\/w)\/w**(-3))**(12\/7))**(-5\/4) assuming w is positive.\nAnswer: w**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(294) - sqrt(294)*-1)*2)\/((sqrt(36)*-2 - sqrt(36))\/sqrt(6)))\/(sqrt(504)\/sqrt(2) - -3*sqrt(7)*4).\nAnswer: -2*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -213*w + 3. Let m(u) = -7086*u. Determine m(c(g)).\nAnswer: 1509318*g - 21258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 7*s**2 - 4*s - 10. Let d be m(6). Calculate the common denominator of -8 - (d\/(-6))\/(9\/(-6)) and -59\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) - 12\/(-30). Solve s = 2*q + 2*i + 14, 3*q + 2*i + 13 = -6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 12 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 32 = 2*t, 4*t = -x - 0 - 20. Let o = -36 - x. Let u = -23 - o. Solve -2*c + 8 = 0, 4*c - u - 5 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -13.96, -6543\/7?\nAnswer: -13.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391, 721, 1051, 1381, 1711, 2041?\nAnswer: 2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 16. Solve -4 + 12*a**4 + 30*a - 8*a**2 - 18*a + 0*a**4 - 8*a**3 - j*a**5 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*a. Differentiate 2*h**3 - 4 - 3 - 4*h**a wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146 + 74. Round k to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 504, 2008, 4512, 8016, 12520?\nAnswer: 18024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1182 - -1180. Let r = -0.01 - -4.01. Which is the closest to p? (a) r (b) -4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -11 - 2 - 7*x**2 - 5 + 19. Let i(w) = -w**2 + 1. Calculate -d(b) + i(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*-1 - sqrt(891)*2.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 415638827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-36))\/(-1) + (45\/120)\/(2\/16)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/485 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 411\/5 - 83. Let v be 25\/15 + (-2)\/3. Let t(r) = -r**3 + 2*r**2 + r - 1. Let x be t(v). Sort 3, o, x in ascending order.\nAnswer: o, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719376595.\nAnswer: 3, 5, 13, 23, 202109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -11 - 2) + (5 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -116*g**7\/7 - 180*g**3 - 312. What is the third derivative of z(n) wrt n?\nAnswer: -13920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m. Let a(v) = 3*v + 8 + 23*v**2 - 4 - 9*v + 14*v. Let w(d) = -551*d**2 - 190*d - 95. Let b(u) = 95*a(u) + 4*w(u). What is b(h(o))?\nAnswer: -684*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.075 and 9?\nAnswer: 0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**10*t**(-10)*(t*t**(-5))\/(t\/t**(-2\/17)) assuming t is positive.\nAnswer: t**(-87\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 935115, 934941, 934769, 934599, 934431?\nAnswer: 934265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1093 divided by -6\nAnswer: 1093\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83083798 a multiple of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1444574396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 13. Let f be h(-8). Let v = -211\/42 - f. Suppose 107 = -4*j + 111. Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -17) + 4 - 51 - (-2 + 18).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -9. Let d = m + 14. Let h be 6\/d - (-28)\/20. Calculate the highest common divisor of 10 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -7 + -3 - (0 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0*u)\/u*u\/(u\/(u\/(u**(-1\/5)\/u*u*u)))*(((u*(u*u**(-3))\/u)\/u*u*u)\/u)\/(u\/u**(1\/2)))\/(u*u\/(u**(-1\/2)\/u)*u*u*u**6)**(-34) assuming u is positive.\nAnswer: u**(3897\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 18*m + 15. Let h be s(-19). Is 35 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -3*f + 1190. Let c = f + -71. Calculate the remainder when 55 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 >= 1363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45994, -45991, -45988, -45985?\n\"Answer: 3*p - 45997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v + 16. Let j(u) = -23*u + 1931. Calculate 2*h(x) - j(x).\nAnswer: 5*x - 1899","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -53 + (-2 - (-2 - -3)). Let z = d - -91. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11902 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 241829821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-730)\/(-292))\/((-10)\/(-56))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 5:57 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20688.813 minus -357.2689?\nAnswer: -20331.5441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 - 2784*f**3 - 487192*f**2 - 966048*f - 481636 = 0. What is f?\nAnswer: -347, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 7) in base 6?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 4 (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 6*c**2 + 8*c - 5. Suppose 8*y = 3*y - 270. Let s = 83 + y. Calculate the remainder when s is divided by d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*q - 58, -4*q - 40 = -2*a - 0*q. Solve -4*z - 4*d = -a, d = -z + 5*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-663)*13)\/((-9)\/189)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 352, -4, 2, -5 in increasing order.\nAnswer: -5, -4, 2, 3, 14, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-8))\/a)*a)**(13\/7) assuming a is positive.\nAnswer: a**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21922*f**2 + 14*f + 693 wrt f?\nAnswer: -43844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(-24)*-16438 + 40\/(-160)?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4127 and 713.1978359?\nAnswer: 3413.8021641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 5*r**2 + 2*r - 2. Let y be a(-4). Suppose -y = -4*x + 2*x. Solve 5*k + 13 = x*t, 0 = 5*k + t - 3*t + 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - f - 6)*(0 + 0 - f).\nAnswer: -f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (sqrt(648) - sqrt(18) - sqrt(18))*-4 + sqrt(2592)*3)\/(4*((1*sqrt(72) + sqrt(72))\/sqrt(12) - sqrt(42)\/(-1*sqrt(7)))))**2.\nAnswer: 147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48433 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 405282951, 405282952, 405282953?\n\"Answer: b + 405282950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - n + 3*n + 4 = 0, -4 = n. Let m(o) = o + 1. Let l(s) = -1 - 3 - 36*s + 6 + 41*s. Let v(y) = k*l(y) + 2*m(y). Let t(r) = 4*r**2. What is v(t(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4678771 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + o - 9 + 4*o. Suppose -5 = -2*u - 13. Let l(x) = -2*x + 4. Let s(z) = u*t(z) - 9*l(z). Let b(c) = -6*c. Calculate s(b(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30420 = 4*l + 3*g - 30410, 5*l + 2 = 2*l - 5*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 44*w**2 + 10878*w + 2470 = 0?\nAnswer: -247, -5\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.003128 tonnes?\nAnswer: 5003128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43773, -5, 1 in descending order.\nAnswer: 1, -5, -43773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 28458*m + 28458. Calculate f(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 14610*c = 14612*c - 17, y + 2*c + 23 = 4*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 10)*(0*q - 5*q + 4*q) - 146*q - 233*q + 563*q + (-q + 2 - 2)*(-2 + 1 + 3).\nAnswer: 188*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-3)\/((-87)\/1)). Let i = -24 + t. Solve i*q + 5 = 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132856008, -265712022, -398568036, -531424050?\nAnswer: -664280064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/19 (b) -2 (c) -1\/4 (d) -1.42 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52880*m**4 - 132933*m**2?\nAnswer: -1269120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -0.1 (c) -1283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/84183 and 41\/45918?\nAnswer: 505098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 7*d - 120. Let n be (1 - 7\/3)*-15. Suppose 10 + n = 3*l. What is the greatest common factor of d and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 262140, 262149, 262158, 262167, 262176, 262185?\n\"Answer: 9*d + 262131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 25.6\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.616 + -0.016. Let h = 5.3 - t. Which is smaller: h or -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70.8 - 71. Put s, -0.5, -4, 2\/15 in increasing order.\nAnswer: -4, -0.5, s, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 4*g = 3*d - 17, -2*d - 4*g - 14 = 0. Let j(w) = -6*w - 2. Calculate j(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 10. Let f be g(-5). Suppose -15 = -3*n - f*s + 2*s, 0 = -4*n + 4*s + 12. Solve 0 = -n*k + 1 + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(10\/(-2)))\/((-17342)\/3588)\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 1 (b) -0.5 (c) -1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 0.7. Let n = -5.7 - -6. Let s = 221\/7 + -31. Which is the second smallest value? (a) s (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v = 72*v - 4*q + 4, 1 = -4*v + q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -10*c - 8 - 5\/3*c**3 + 0*c**2. What is the first derivative of t(z) wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11488 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4117 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 8*y**2 + 806 - 804 + 7*y**3 as k*y**2 + p*y**3 + c + r*y and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17005 and 44571?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(9 + (-109 - -110)\/((-2)\/(-22)*-1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 1. Let h be n(7). Let t(p) = -p**3 + 5*p**2 + 8*p - 1. Let v be t(6). Let z = h + v. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1703785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 70. Let t = 38 - 18. Let o = 32 - t. Calculate the least common multiple of z and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**3 + 2*d**3 + 2*d**3)*(3 - 4 - 1 + (-2 + 0 + 4)*(2 + 1 - 1)) to p*d**2 + o + g*d + i*d**3 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvvp when four letters picked without replacement from {u: 8, e: 6, v: 2, p: 3}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-8)\/2*3\/(-16))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 495.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 638*r - 21429. Give d(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 80.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104998*d**3 - 65286*d**3 - 39714*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 8*a + 12. Let v be m(-6). Let l(u) = -u**2 + 15. Let j be l(v). Solve 5*o + 0*o - j = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 18 - (-2 - 1 - -7) - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1676487.1 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361, -358, -355?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:09 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -11. Suppose -n - 2*p - 4 = -z, 3*n + 25 = 5*p. Solve 5 + 0 = s, n = -2*t + 4*s - 24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -0.0298?\nAnswer: 0.5298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c82 + 233?\nAnswer: 11b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 2481.\nAnswer: 129012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-7)\/a)**(-46))**(-5\/11) assuming a is positive.\nAnswer: a**(-1380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 - 11*z + 21. Let r be x(4). Suppose r*n = 58*n - 4393. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -12.6, 0, -2, -0.1?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.14 - 9. Let c = w - -0.86. Let r = -1 + c. Is 1\/3 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50279395*k**4 - 31777255*k.\nAnswer: -603352740*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.1035\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:15 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -31*m**4\/4 - 273*m**3\/2 - 444*m. Find the second derivative of d(p) wrt p.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/159 or -1?\nAnswer: -11\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 3*t**2 + 4*t - 10. Let u be n(3). Which is the smallest value? (a) -1\/2 (b) u (c) -1\/6 (d) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/((-180)\/5)*3*-708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (-11 + 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddlwiddldwld. What is prob of picking 2 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14248 by -52.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76\/7*i - 144\/7 - 2\/7*i**2.\nAnswer: -2*(i + 2)*(i + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/656 and -87\/820.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1782 and -41\/155628.\nAnswer: 466884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2. Let d(y) be the second derivative of -y + 0 + 0*y**2 - 1\/6*y**3. Determine r(d(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*5)**2 + -4.\nAnswer: 27496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 928 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*t - 51*t + 91*t + 10*t - 6*t + 4*t + (3 - 2 - 3)*(2*t + 2*t - 2*t) - 2*t + 2*t - 2*t - 1 - t + 1 + 3*t - 3*t - 2*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2 - 0)*-10. Suppose -o*z - 3 - 2 = 0. Let p be ((-28)\/(-168))\/((-14)\/258) + 25\/(350\/28). Is p greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 3*j**2 + 16*j + 9. Give n(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:33 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45197253?\nAnswer: 3, 5021917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*q - 13556, -2*m + 2*q = 3*q - 13551. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(132\/18)*(-4)\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 423, 426, 441, 474, 531, 618, 741?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-780)\/120)\/((-39)\/9).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, i: 1, e: 7, r: 5}. Give prob of picking 1 e, 1 l, and 2 r.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x - 28*x - 2*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 176 and 251176641407.\nAnswer: 251176641583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 30*k**2 - 1. Let l be g(-1). Suppose -2*b = -18 + 62. Let p = l + b. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32264 - 20932 = -2*l. What is l rounded to the nearest 10?\nAnswer: -5670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l = -64*l + 186 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40448718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133\/65 + -6223\/1040. What is the common denominator of j and 5930\/(-1800) + (-4)\/(-9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:08 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 391\/2448 - -5*2\/(-45).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i = 37*i + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 969856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 488.5718 centuries?\nAnswer: 48857.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22979802 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*3\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 148769, 148866, 148963, 149060, 149157?\n\"Answer: 97*w + 148672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 74242273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m - 44*m + 58*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 19*a**3 + 6*a**2 + 6*a + 7. Suppose 63*n - 104 + 482 = 0. Let u(o) = 19*o**3 + 5*o**2 + 5*o + 6. Determine n*u(v) + 5*k(v).\nAnswer: -19*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*p = 4, -2*p = 3*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -5.38 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117767 = -5*n - 4*b, -3*n + 5*b - 15519 = -86157. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358731, 1434939, 3228623, 5739783, 8968419, 12914531?\nAnswer: 17578119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 177*z - 3000. Let m be x(-158). Find l, given that -40\/7*l**2 + 18*l + 4\/7*l**4 + 36\/7 + m*l**5 - 20*l**3 = 0.\nAnswer: -3, -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 120 = 14*y. 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: Calculate 32*0.4882557.\nAnswer: 15.6241824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 - -63. Let r = 119 + j. Suppose 0 = -3*h + r + 112. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -10. Let n(g) = g + 4*g**2 - 2 + 2*g**2 + 5*g**2 - 15*g**2. Let l(m) = -5*m**2 + m - 2. Determine o*l(z) - 7*n(z).\nAnswer: -2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - j + 0*j)*(0 + 1 - 2 - 1 + 5 - 2 + (2 + 3 - 3)*(2 + 0 - 3) - 6 + 11 - 45) to n + s*j and give s.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7 + 25 - (-2 - -16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 54. Let t(h) = -325. Let z(c) = t(c) + 6*w(c). Let u(p) = 2*p**2 - p + 4. Calculate u(s) + 4*z(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.1 - 20.4. Let r = 0.1 + -0.1. Which is the closest to 0.1? (a) r (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, j: 1, q: 2, b: 6, t: 2}. What is prob of picking 2 b and 1 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -3 - -1) + 5. Let g(i) = -3*i**o + i**2 + 6*i**2 - i**2. Let p(n) = 0 + 0 - n. Calculate g(p(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-4 - (-3 + 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 711, 709, 709, 711, 715, 721, 729?\n\"Answer: z**2 - 5*z + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 52487.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 j, and 1 a when four letters picked without replacement from {j: 1, g: 5, b: 1, z: 1, a: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkedekeekdd. What is prob of picking 1 d and 2 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -268?\nAnswer: -9\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1*-2) + 0. Let j be 147\/(5 - a)*1. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5529688 decades to months.\nAnswer: 66.356256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 4:49 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**2 - 27*t**2 + 10 - 2*t - 13*t - 2*t - 2.\nAnswer: -60*t**2 - 17*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.71024 equal to 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002935 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104\/97 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 4*c**2 + 6*c. Let k(z) = -z**3 - 5*z**2 + 2*z**3 - 1 - z + 5*z**3 - 4*z**3. Let t be k(3). What is i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from {f: 1, c: 2, o: 2, i: 1, r: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/15705 + -5237\/15705. Let d be (-40)\/55*1\/2. Which is the smallest value? (a) w (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*f**6 + 11936229*f**4 - 366*f**2 - 659*f + 25 wrt f.\nAnswer: 2160*f**3 + 286469496*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by 41.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94544834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**4\/6 - 901*l**3\/6 + 12857*l**2\/2 - 545455*l\/6 - 79507\/3.\nAnswer: (l - 43)**3*(7*l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-14) + (-14)\/49. Let m be (0 - d)\/(16\/(-24)). Suppose -h + 722 = h - m*k, -3*h + k = -1076. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7946.8245ns?\nAnswer: 0.00000000220745125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*f = 4313847 - 4315917 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 + -10 + 1 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80426573 divided by 5?\nAnswer: -80426573\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68507358*y + 68507358*y + 5002*y**3.\nAnswer: 5002*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -0.139?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 2*z - 1. Let h be v(2). Let b(y) = -y**2 - 3*y + 2. Let o be b(-4). Let q be o - (5263*h + 1). Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -152, -303, -456, -611, -768?\n\"Answer: -r**2 - 148*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:57 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*v + 3, -21*u - 4*v - 25 = -24*u. Solve -4*h = u*t - 35, t - 25 = -2*t - 2*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmvvvvmvkkvmmkkvv. Give prob of sequence kk.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - 39 - (-4 - 4 - (-6 - -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56765760 divided by 10\nAnswer: -5676576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + 2 - 1554\/(-222)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 32 = -4*u, 13*p = 9*p - 4*u - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 21*b**2 - 8*b - 32. Let g be h(-9). Let k = -4 + -83. Let f = k - g. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275354479513 + 0.4\nAnswer: -275354479512.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-2*b + 4*b - b) + (3*b - 2*b + b)*(5 - 4 - 13) + 1 - b - 1.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94372*i**2 + 732*i - 299 wrt i?\nAnswer: -188744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63171 is divided by 5013.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, j: 1, r: 11, v: 2, q: 1}. What is prob of sequence qrvj?\nAnswer: 11\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 181*h**2 + 722*h + 3. Give p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(6)*2) - sqrt(20)\/(sqrt(144) - 1*sqrt(144) - sqrt(144)))**2.\nAnswer: 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14.84718112+7\nAnswer: -7.84718112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142 and 28?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 4. Let r be h(4). Suppose r*z = z. Solve z*s = 2*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2120?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 22. Let k be b(-9). Suppose 46905 = k*u + 19787. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34062 divided by 811\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*m)*(-439*m - 88*m - 77*m - 94*m - 50*m).\nAnswer: 1496*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3786 divided by -364.\nAnswer: 1893\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4*p**2 - 98*j**3*p**3 + 253*j**3 - 15*j**2 - 636*j - 3*p**3 wrt j?\nAnswer: -24*j*p**2 - 588*p**3 + 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1.7 (c) 43\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -7*x + 11*x + 1938192000. Round x to the nearest 1000000.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -29*g - 202. Let d be o(-7). Let q(k) be the first derivative of -3*k**2\/2 - k - 5. Let y(r) = -311 + 311 - r + 2*r. Calculate d*q(h) + 5*y(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -220863 at most as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/(-21))\/((-2142)\/2754).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-54 + 36 - (-1 + 4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 291 + -200. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -50?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/324 and 119\/136188?\nAnswer: 408564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152))\/sqrt(8) + (sqrt(2299)*-4)**2.\nAnswer: -sqrt(19) + 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11050 and 2765815.\nAnswer: 27658150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1))**(4\/11))**(-19\/2))**40 assuming m is positive.\nAnswer: m**(1520\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(704) + -4)**2 + (sqrt(704) + 4*(sqrt(704) + 0) - sqrt(704))**2 + -2 + sqrt(704) + -2*sqrt(704).\nAnswer: -72*sqrt(11) + 11982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + d + 2. Let b be s(0). Let w be b\/(-5) + 16\/(-10). Let x be (-1)\/(w + 3\/2). Let a(h) = -h - 1. Calculate a(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -73*g + 565. What is d(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -0*p + 3*p. Suppose -s - 4*s = -2*l + 67, 5*l - 90 = -3*s. Let f be (7\/l)\/((-13)\/(-12) + -1). Solve f*r = k + 2*r - p, -k = r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -50. Which is the second smallest value? (a) 1 (b) -1 (c) -0.5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 4 - 3*q + 1 + q**2. Let l(g) = -3*g**2 + 29*g + 48. Let j be l(11). Give a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436 - -839. Suppose 0 = -8*x - 27 + z. Calculate the remainder when x is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 50, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50499 and 510012?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005568218602 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-22 + 9 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4.7. Let w(j) = -j**3 + 12*j**2 - 9*j - 21. Let f be w(11). Which is the third smallest value? (a) f (b) -2 (c) x (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 910546100 to the nearest 1000000.\nAnswer: 911000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195367008 to the nearest integer?\nAnswer: 13977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8947.\nAnswer: 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 957 and 55.\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 5 + 9*d - 4)*(2 + 1 - 4) to the form s*d + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1898 = -9*s + 1783. What are the prime factors of s?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3478047 is divided by 579.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 + 106*i**3 + 3759*i**2\/4 + 2494*i + 1660.\nAnswer: (i + 1)*(i + 4)**2*(i + 415)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100834, 100837, 100842, 100849?\nAnswer: 100858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 + 2*p**4 + 0*p**2 - 19*p**2 + 2 + 5*p**4 + 0*p**4 to w*p + y*p**2 + g + j*p**3 + x*p**4 and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 74 = -5*p, 0*v + v + 12 = p. Suppose -d - 8 = p. Calculate the common denominator of 65\/2 and ((-66)\/(-4))\/(30\/d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0881 + -371.9119. Let g = 367.3 + h. Which is smaller: 2\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 30963348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:55 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - p**4 + 3*p**3 - p**3 + (2*p**3 - p**3 + p**3)*(5*p - p - 3*p) in the form o + s*p + w*p**3 + t*p**2 + m*p**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(1584) + -5 + sqrt(44) + 4 + -3).\nAnswer: 20 + 230*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a factor of 407470425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47710 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 5*c**3 + c**4 - 255*c + 252*c - 3*c**2 + 3*c**3 in the form u*c**4 + j*c**2 + o*c + t + f*c**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4 - 143*g**2 - 91*g + 3 wrt g?\nAnswer: 12*g**2 - 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f + 29 + 7*f - 26 + 2*f**2 - 48 in the form c*f**2 + n + i*f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 24*l**2 + 25*l - 7. What is r(-25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -2278842502.\nAnswer: -2278842502.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -28.9. What is the nearest to p in -2\/5, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -5208, -2\/3?\nAnswer: -5208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 4*m + 56 = -2*i, -i - 3*m + 20 = 0. Suppose i*v - 4*v - 132 = 0. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + i)*(-28*i + 24*i + 103*i) + (-3 - 5*i + 3)*(-i + 2*i + 0*i) to v + r*i**2 + y*i and give r.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -7\/32238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 5, -0.4, 4, -90, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*f**5\/9 + 9056*f**4\/9 + 386008*f**3\/9 - 474464*f**2\/9 + 8820*f = 0. What is f?\nAnswer: -405, -49, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**2 - 110*g**2 + 51*g**2 - 100*g.\nAnswer: -g**2 - 100*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22400\/9 + 690926\/279. Which is greater: a or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c (base 13) to base 10.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (3 + 0)) + (-31 - -31) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132321111 - 111320?\nAnswer: 1132203131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*k - 33, k - 20 = -6*m + 2*m. Let d = k + -4. What is the greatest common divisor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -1\/6*i**2 - 5*i + 1\/36*i**4 - 1\/60*i**5 + 0 + 1\/18*i**3. Solve m(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6033.\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 371076.234 + -367482.5. Let h = -3560.6 + f. Let a = 33 - h. Round a to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -4 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f = -3*m, f - 14 = -4*m. Let b(c) = -7 - 1 + 1 - 3*c + 4*c. What is b(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2166225615 and -0.057.\nAnswer: -2166225615.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1287\/52 - 24)*16\/114?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752*p - 17540 = 1002*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccnnccnccncccccccc. What is prob of picking 4 n?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 6. Let w be k(6). Solve -2*r = 4*x + w, -3*r - 2*x = 3*x + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/29353088 and -43\/1280.\nAnswer: 293530880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 18. Let q(d) = -d**3 + 9*d**2 - 12*d - 3. Let a be q(c). Let j = 300 + a. Calculate the highest common factor of 27 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -454*k**5 - 592*k + 12176. What is the derivative of i(u) wrt u?\nAnswer: -9080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 6)*(-9 + 4 + 0)*(923*o - 420*o - 456*o) in the form x*o + z and give x.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (228\/(-95))\/(12\/80)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -15083787?\nAnswer: -15083787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39.149? (a) 3 (b) -0.5 (c) -2 (d) 4 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 37 = 2*d. Let g = -588 + 599. Calculate the remainder when d is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(54)\/sqrt(3) - sqrt(18))**2 - (sqrt(20)\/(sqrt(10) - -3*1*sqrt(10)))**2.\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = 2*u, -2*y + 2 = u - y. Suppose -u = -i + 1. Suppose -4*f + 60 = -5*r - 0*r, -3*r + 72 = i*f. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5\/3 + 32*g**4\/3 - 26*g**3\/3 - 20*g**2 = 0.\nAnswer: -1, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -437 - -437.3. Put z, -5, -3\/5 in descending order.\nAnswer: z, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 33 = -2 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 868882.29.\nAnswer: -868886.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 12) in base 15?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 + 7353244*h\/3 + 6758774665442.\nAnswer: 2*(h + 5514933)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 3*u**2 - u + 2. Let f be r(-3). Which is the second smallest value? (a) f (b) 0.5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 49*w - 33. Let m(n) = 12*n - 8. What is 9*m(o) - 2*y(o)?\nAnswer: 10*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607\/6 - 24\/144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 14 + 12)*(-12 + 20 - 35 + (2 - 1 - 2)*(4 - 3 - 3))*(21*s + 10*s - 11*s) + s + 0*s - 3*s in the form c*s + n and give c.\nAnswer: -11002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - -25. Is 32 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12)\/(6\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 241*s - 6. Let w be n(-2). Let d be (w - 12)\/((-2)\/(-7600)). What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 3. Let n be u(-12). Let p be (-555)\/n - (0 + 0). Let q = -32 - p. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 6, -44, -2 in increasing order.\nAnswer: -53, -44, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-28) + 8 + -5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/(-6) - (-4)\/(-24). Suppose -4*h + 2*o = -0*o + 58, -52 = 4*h - l*o. Is 5702\/22 - h\/(-88) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.74 - -24. Let v = s + 0.04. Let p be 6\/(-27) - 82\/36. Which is the nearest to -0.1? (a) p (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from taaoc. What is prob of sequence aooc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 12 = 4*m, -4*m + 8*m + 13 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 5*z**2 - 4*z + 12. Let v be s(-5). Suppose -v = -4*a + 4*w, -5*w - 19 = -2*a - 0*a. What is the least common multiple of 6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -959000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -593 + 1183 - 1756*c - 590 in the form d*c + w and give d.\nAnswer: -1756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 159397702 to the power of 1\/2, to the nearest integer?\nAnswer: 12625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 29*g**2 - 28*g**2 + 0*g + 2 + 0*g - g. Let o be y(2). Suppose -5 = -j, -28 = -o*h + j - 1. Solve 5*c + 20 = 5*q, -q - h = 3*c - 2*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61215 and 50?\nAnswer: 612150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -8 - 2. Let t(u) = -2*u - u**2 - u**2 + u**3 - u**g - u + 5. Let w be (-2 + 5)*(-8)\/(-6). Calculate t(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 k when three letters picked without replacement from kekeeekqqeqee.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g - 7. Let m be p(-7). Let c be (-2)\/4 - m\/(-14). Suppose 4*y + y = 0. Solve 2*u = -y + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {b: 4, a: 5, c: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 0 + 2)*8. Find the common denominator of 67\/t - 1\/(-2) and 47\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2345\/2 in ascending order.\nAnswer: -3, 3, 2345\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11348 + 11348.00007251. Round v to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 7, u: 5}. Give prob of sequence ulal.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 503 + -160. Let w = 347 - q. Solve -l = w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y - 4*q - 70, 2*y + 4*q = -40. Let i be (-15)\/y*16\/12. What is the highest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -32375.\nAnswer: -97125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0911 * -2.\nAnswer: 0.1822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12652404 - 8*w**3 + 12652404 - 21*w**2.\nAnswer: -8*w**3 - 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 3.6698\nAnswer: -1.10094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 0*q**3 - 2\/9*q**5 + 4\/9*q**4 + 0 + 0*q**2.\nAnswer: -2*q**4*(q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z**3 + 2*z + 1. Let h be ((-20)\/40)\/(1\/(-2) + 1). Determine w(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -17 + -70 + -9 + 67?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4036*s**2 - 53*s - 34.\nAnswer: -8072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 17313088\nAnswer: 1\/17313088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -21*k**3 - 2*k**2 + 1. Let p = 1 + -2. Give q(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whfhxeux. What is prob of picking 1 f, 1 u, and 2 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*j - 328 = 225*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -17. Suppose -5*l + 33 = d. Suppose l*j + 25 = 33. Put 5, 2, j, 0 in increasing order.\nAnswer: 0, 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - t + 2048, -22*t = 3*m - 26*t - 1555. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 6*u + 11. Let r = -15 + -6. Let b = r - -15. What is the remainder when 19 is divided by a(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1718, -6868, -15450, -27464, -42910?\n\"Answer: -1716*c**2 - 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - (-5 - -1) - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = -3*y. Let d = 8 - y. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (1 + -3 + (-4*sqrt(1008) - sqrt(1008)))*-3)*1)**2*-6*-5.\nAnswer: 32400*sqrt(7) + 6804270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*(-1 - (-2)\/(-3)). Suppose -5*d + p - 5 = 0. Let m = 39 + -32. Solve m + 5 = d*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3. Let s(a) = -5*a**3 - 3*a**2 + 3*a + 3. Let c(z) = 4*z**3 + 2*z**2 - 2*z - 2. Let o(i) = -3*c(i) - 2*s(i). What is 5*m(t) + 3*o(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030997 rounded to 6 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -20*l - 938. Let c be x(-47). Solve 10*y + 15 = 13*y - 4*t, 0 = -y - t - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {f: 1, j: 5, m: 5, p: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 12*t - 288 = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - 0.02. Let n = -13 - -12.89. Let w = 0.19 - n. What is the closest to 0 in w, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 4. Let d(a) = a**2 - 4. Let x(p) = 5*d(p) - 4*f(p). Find the first derivative of x(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15*-3 + 0\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 23*j - 19*j - 880 = 0, -j - 652 = -3*w. Let n = -138 - -75. Let m = -8 - n. Calculate the remainder when w is divided by m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 5:32 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/6 + 6271*i**4 + 62697*i**3\/2 - 263365*i**2\/3 - 225714*i + 451452 = 0. What is i?\nAnswer: -37621, -6, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -115.8. Let k = 20 + h. Round k to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3*2*(-9)\/(-12)*4 and (3\/2)\/((-3)\/(-20)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1685 - 1601 = 2*g + 5*r, 0 = -3*g + r - 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*0\/(-2). Let j(o) = -o**3 + 46. What is the units digit of j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6265 and 2127415.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1214*t**2 - 8*t + 8. Let w(a) = -3642*a**2 + 27*a - 27. Determine 2*w(l) + 7*y(l).\nAnswer: 1214*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 4*g - 21 - 4*g + 0*g + 2*g. Let x be n(9). Suppose -42 = -y + 3*t, 2*y - 5*t + 253 = x*y. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2. Let m(d) = -24*d. Determine b(m(w)).\nAnswer: -1152*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 31*g**2 + 57*g - 23. Give i(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2*s**5\/5 - s**4\/4 + s**3\/3 + s**2\/2 - 7. Let v(a) = -a**4 + a**3 - a**2 - a. Let t(l) = 4*v(l) + 4*y(l). Factor t(u).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3248 - -4357. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15925\/8 - 1988. What is the common denominator of b and 4\/11*(-17)\/(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*n + 13, 9 = -2*n + 1. Let k be 0*g\/(-3)*1. What are the prime factors of (-2 + 3)*(k - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 181 - 116 - 122 = -3*h, 5*h - 22*z = 95 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2242, -9003, -20286, -36103, -56466, -81387?\nAnswer: -110878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 3\/2*p**2 + 34 - 9*p. Give d(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 41. Let i(p) = 4*p + 41. Give -3*f(z) - 2*i(z).\nAnswer: z + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**4 + 2*a + 2*a**3 - 2 + 2*a**2 - 2*a**3 + 0*a as i*a + o*a**2 + v + n*a**3 + u*a**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-15 + 2 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 3*r - 2. Let g(k) = -9*k**2 + 1929*k + 915839. Let t(z) = 4*g(z) - 20*p(z). Solve t(w) = 0 for w.\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 43*t = 40666 - 138087. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 40*s = 27*s - 55. Solve -s*u = -1 - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-456)\/(-57) - (4 + 0). Solve 6 = h - x*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/11 + 95*o\/11 + 32\/11 = 0. Calculate o.\nAnswer: -1\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.283 + -0.483. Which is the nearest to 0? (a) j (b) 28 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -2*x + w, 5*x + 2*w = 10*x - 854. Calculate the greatest common factor of x and 12920.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -3. Let u(k) = -5*k. Let j be u(-1). Which is the third biggest value? (a) j (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 + 4*u**5 - 3*u**2 - u**2 - 6*u**5 wrt u.\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - 22. Let v = 92 - m. Calculate the lowest common multiple of 20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -55. Let z = -53 - q. Is 35 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -108 + x**4 + 108 + 80*x**2 - 79*x**2 + 2*x**3 + 2*x in the form l*x**4 + o*x**2 + m*x**3 + j*x + p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (128 + 48 - 29 - 34)*(-3*h - 2*h + 3*h) as g + y*h and give y.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -434346*c**3 - 6*c**2 + 28565 wrt c.\nAnswer: -2606076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 0\/(15\/5). Which is the closest to -0.18? (a) -5 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 3*k - 17. Let q be f(6). Which is bigger: q or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24134796 to the power of 1\/2, to the nearest integer?\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*z - 26 - 160 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 2*l - 2. Let v = -12 + 7. Let h(i) = -i**2 + 5*i - 5. Suppose 4*m + 4*a + 7 = -1, -3*a - 12 = 0. Give m*h(j) + v*t(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5540 = -212*d - 244*d - 2212 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i**3 + 32*i**2 + 70*i + 8. Let x(k) = 19*k**3 - 65*k**2 - 141*k - 16. Let h(d) = 7*m(d) + 3*x(d). Let p be h(-26). Is 294 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = -49*a - 588 - 52 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -39, -54, -69, -84?\n\"Answer: -15*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*q + 527 - 527 - 629*q.\nAnswer: -1066*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.654539 millimeters to nanometers.\nAnswer: 3654539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74039 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 244 - 261. Suppose -30 = 5*x - 2*w, 0*x + 5*w = 4*x + 7. Let m = x - t. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39401431 and -5?\nAnswer: 197007155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -823792779.55211 + 827285935.458. Let h = -3493179 + z. Let o = h - -23.1. What is o rounded to four decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Let n = -9.1 - -1.1. Let y = -11 - n. Put 5, b, y in decreasing order.\nAnswer: 5, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**7\/6 - 11*y**5\/20 - 18*y**2 - 11. Let f(h) be the second derivative of i(h). What is the third derivative of f(s) wrt s?\nAnswer: -840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 275, 399, 505, 587, 639?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 289099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30460 or 30461?\nAnswer: 30460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**3 - 39*g**2 + 514*g - 3630. Give j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ememjedmnnmwnnj. Give prob of sequence dem.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(6\/7))))**(-11\/2) assuming v is positive.\nAnswer: v**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-42 - (0 - 27)) + (18 - 0).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -571 + 573. Suppose 2*t + 8 = 0, 4*l = -2*t - 3*t + 4. Solve h*g = l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2204933 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -1594136?\nAnswer: -143472.24","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is -42085 take away 2744.092?\nAnswer: -44829.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t - 4 - 7 + 8 - 42*t**5 wrt t?\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17657 and 0.22?\nAnswer: -3884.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(-46))**46 assuming a is positive.\nAnswer: a**(-2116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 450638274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - j + 37 = 0, 0 = -g - 4*j + 3*j - 11. Let l(t) = -154*t + 69. Is l(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 312543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -139550 rounded to the nearest one hundred?\nAnswer: -139600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + i**4 + 1 + (-1 + 2 + 0)*(25*i**4 + 42*i - 42*i) in the form r*i**3 + o + q*i**2 + z*i**4 + x*i and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.72 less than -7469?\nAnswer: -7589.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 68*w + 113. Let m be j(22). Suppose 0 = -12*u + 1235 + m. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + (2*sqrt(847) - sqrt(847))*-2 + sqrt(847))*-2 + (4 + -1 + sqrt(847))**2*-2.\nAnswer: -1712 - 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12139998 divided by 69.\nAnswer: -175942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 19*b**2 - 20 + 9 - 4*b + 19*b**2. What are the prime factors of s(-2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from rpnpkzrc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 40. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q + 29*q = -33*q - 16*q - 136 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d**3 + 15*d**2 - 4106 wrt d.\nAnswer: -30*d**2 + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*r + c + 12, 828*r + 827*r - 1660*r + 66 = -3*c for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7212.8842 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11bbc (base 13) to base 12.\nAnswer: -16b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 10:13 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let m be 1868\/650 - (-78)\/(-507). Let u = m + -1403\/525. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016194 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-405)\/(-21) + (-8)\/28. Let b = -7 + o. What is the smallest common multiple of 10 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4883 divide 146284914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + q + 1966 = 0, -988 = -2*p - 3*q + q. Let y = -292 + p. Suppose 128 = 4*c - y. Is 43 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1084 divided by -1.\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2 - (8 + 261\/(-36)). Which is the third smallest value? (a) -1 (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -1351.31789.\nAnswer: -1351.01789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7396344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -22, -49, -88, -139, -202, -277?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5945 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 6) + 2\/(2 + -1). Find the third derivative of -27*a**n + 6*a**2 + 4*a + 15*a**3 - 4*a wrt a.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/220 and 13\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4 + (4 - 2 - 3)*(-3 - 5 + 1))*(1 + 2 + 2*t - 4*t)*(3 - 2 + 2).\nAnswer: -48*t + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101929.\nAnswer: 101929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i + 562. What is b(-70)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23276*r**3 - 749984*r**2 - 5686044*r + 5806440 = 0 for r.\nAnswer: -381\/23, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -107. Suppose -3 = 2*w - o. Let m = w + -20. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 48. Let x(g) = g**2 + 5*g - 5. Let p(a) = -3*a**2 - 12*a + 12. Let s(b) = m*x(b) + 5*p(b). Let u(w) = 0 + 0 + 16*w - 14*w. Calculate s(u(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*t + 1 = 3, -t - 11 = 5*n. Let d be (n + -2)*1\/(-7). Sort 5, -5, d in descending order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.106 + -2.306. Put -1.2, -1, p, -2\/87 in ascending order.\nAnswer: -1.2, -1, p, -2\/87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 21556520 = 5282260. Let f be 2\/2*(-271939 - 0). Let x = f - u. What is x rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91816)\/(-7984)*(-72)\/3450.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67\/28 + 9\/4. What is the nearest to 0.2 in 2\/5, i, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*d + 95368 = 438*d - 326963. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 8*r - 9. Let h be t(-6). Suppose -169 = -h*l - 52. Does 14 divide (-4)\/(-2 + l\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39959\/5 - 7992. Which is the nearest to 4? (a) 4 (b) -1.6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Let r be 1\/x + (1 - 2). Put r, -1\/3, -1 in descending order.\nAnswer: -1\/3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 6:41 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*u - 101*u + 4. Let s(y) = 1595 - 1595 + 43*y**u. Let x(g) = 2*g**2. Determine x(s(n)).\nAnswer: 3698*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 10:18 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 550 and 55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 2325374.\nAnswer: -9301496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110120*q**6*x**2 - 4*q**2*x + 3*q**2 - 276*x**2 wrt q.\nAnswer: -13214400*q**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503 + 32 = -157*n. Let u = 22154 + -333017\/15. Let y = 47 + u. Which is the closest to 0.1? (a) 1 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, 1 o, and 1 l when four letters picked without replacement from {o: 1, l: 3, s: 4, n: 5, v: 1}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -8, -12, -34, -80, -156, -268, -422?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(-14*18\/20160)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 0\/1 - -2. Suppose 2*r = m*r - 14. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133\/582 - 6\/97. Let l(t) be the second derivative of 0*t**4 + 0 + 0*t**2 - 3*t - s*t**3 - 3\/20*t**5. Find the second derivative of l(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 + v - 1. Let n(y) = -3*y**3 - 2*y**2 - 2*y + 2. Determine 6*g(o) + 3*n(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -476, -949, -1422, -1895, -2368, -2841?\n\"Answer: -473*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.2277 + -0.0537. Round q to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 31*y - 13. Let w be h(-15). What is the third derivative of -29*d**2 - 3*d**6 + 112*d**2 + w*d**6 + 18*d**3 - 65*d**3 wrt d?\nAnswer: -120*d**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3000 and -37\/3136245.\nAnswer: 627249000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from inninnnnnnnnn?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 14) to base 13.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 37*m**2 - m - 35. Let v be s(-37). Suppose -3*g + 4*p = -6*g + 20, -v = -g + p. Solve -3*b = -b - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d - 38. Let k be t(11). Let q = 60 - k. Solve l = 2*p + 15, -p - 2*l = l - q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/4 and ((-4)\/(-6) + 0)\/(13\/60).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (87\/(-24))\/((-3960)\/(-352)) and -32\/4335?\nAnswer: 26010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbrbtjbjbr. Give prob of picking 1 b and 1 t.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2405399, 2405398, 2405397?\n\"Answer: -n + 2405400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27944816, 27944834, 27944852?\nAnswer: 27944870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let z = -4 - x. Let k = z + 5.0018. Round k to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149, 296, 433, 554, 653?\n\"Answer: -v**3 + v**2 + 151*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 20 = 0, 2*d + 3*a = -d - 3. Let o(c) = c**3 - 11*c**2 + 10*c + 14. Let p be o(10). Let n be p\/(-21)*18\/4. Sort n, -4, d in increasing order.\nAnswer: -4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 4*p - 6*p + 10*p - 4*p**2 - 7*p as a*p**2 + t + h*p**3 + b*p and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = r + 125. Calculate the greatest common factor of 319 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 290*c**2 + 5254*c - 27. Give z(-18).\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32309 + 32314. Suppose -5*c + 2*j = 650, 390 = -0*c - 3*c - 3*j. Let n = -648\/5 - c. Is a less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 20*o = -6. Suppose 0 = -6*b + 4*b - o. What is the nearest to 0 in b, -2\/13, 3\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/265 - 521\/795. Which is smaller: -0.312 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -d - 2*v - 8, -71 = 2*d - 5*v. Let r = d + 30. Factor -29*k**r + 5*k**4 - 20*k**2 + 34*k**2 + 10*k.\nAnswer: 5*k*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 - 1)) + 1 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 98 - 7. Let x = t + 18. Let f(i) = -i**2 - 1. Determine f(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + 2)\/((-30)\/(-40)). Suppose 0 = 2*t - 2*w - 16, 3*t - v = 2*t + 3*w. Suppose -y - 285 = -t*y. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19649 at least as big as 19649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1475, 1460, 1447, 1436, 1427, 1420, 1415?\nAnswer: 1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2647*b**3 - 43*b - 2411175?\nAnswer: 7941*b**2 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121, -111, -99, -85, -69, -51, -31?\n\"Answer: w**2 + 7*w - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*v + 6201 + 3*v**2 - 3*v**3 - 3113 - 3136.\nAnswer: -3*(v - 4)*(v - 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(152)*2*-4)\/(-2*(sqrt(288)\/sqrt(6)*-6)\/sqrt(6)))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966*d - 1936*d + 986*d + 226 = -574 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, -0.24, 0.2 in descending order.\nAnswer: 0.2, -0.24, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -620 and 9.\nAnswer: -5580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 3*i + 3*i)*(1 - 1 - 1) + (-1 - 1 + 4)*(6 - 3*i - 6) - 2*i - 3 + 3 in the form k + v*i and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -442*z - 4. Let r be u(6). Let b be r\/(-40) + 4\/(-10). Suppose 0 = -i - 2*n + 41, 2*n - 6*n = -2*i + b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 1. Suppose -33 = -4*r + 39. What is the remainder when r is divided by j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 29*s**7\/210 + s**5\/10 - s**3\/6 - 4*s**2 - 8*s. What is the third derivative of b(c) wrt c?\nAnswer: 696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**3\/6 - 4*a**2 + 3*a. Give p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-24)\/(-27)*6. Suppose -j - s = 3*j. Let g be (-1)\/2 - (-2)\/j. Which is the third biggest value? (a) 2 (b) -2\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(156)\/(sqrt(24)\/sqrt(2)))*3)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 - -2 - (7 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 37*q. Let x = 146 - 142. What are the prime factors of r(x)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*j - 2 - 20, k - 2 = 0. Calculate the least common multiple of j and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -14815\/296?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 6*d**2 + 2*d - 7. What is the lowest common multiple of q(6) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 54173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**3 - 4986*g**2 + 2279 wrt g.\nAnswer: -3*g**2 - 9972*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1500))\/(sqrt(20)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = 0. Find the first derivative of -1 - 1 + z*t**4 - t**4 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198706?\nAnswer: 2, 73, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 4*z**2 - z**2)*(-6*z + 10 - z - 7)*(49 - 49 - 39*z).\nAnswer: 546*z**4 - 234*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**3 - 2*q + 3. Calculate the remainder when b(2) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -67*f**3 + 176*f**2. Let a(q) = -2*q**3 - q**2. Let l(g) = -4*a(g) + n(g). Find the third derivative of l(j) wrt j.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-1) + 1 + 1. Suppose -2*v + j + y = -3, -4*v - 5*j = -9. Let h(p) = -4*p + 24. Let x be h(v). Solve -r + x - 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/((f**(-10)\/f)\/f)*f)\/f))\/f*f\/f**(2\/17)*f*f*(f\/(f*f\/f**(-8)))\/(f*f**(3\/2)) assuming f is positive.\nAnswer: f**(-735\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1581*y + 56928. Give a(36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3410 = -45*t + 56*t. Suppose -10*u + t = 1130. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 9*m. Let s be n(9). Let z(y) = -14*y**2 + 3 + 2*y**3 + 1 - y**3. Let j be z(14). Solve w + s*w + 2 = g, -j*g = 2*w - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429589 is divided by 1865?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*z = 0, 5*x + 4*z = 5 - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 9:21 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 22. Let u(l) = -l - 11. Let i(f) = -6*g(f) + 11*u(f). Let a be i(-12). Let q be (-4)\/3*2\/(-24). Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/13 (b) 2\/5 (c) -0.05 (d) -15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*52\/715*22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3142082 is divided by 1047355?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o - 3. Let q = -16074 - -16070. Let g(z) = 6*z + 2. What is q*i(r) - 5*g(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 90 + 0*g**2 + 0*g - 1\/3*g**3. Let c(o) = 2*o**2 + 52*o. Calculate u(c(d)).\nAnswer: -4*d**4 - 208*d**3 - 2704*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19048 = 2149*w - 3732*w - 17361 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 109.445.\nAnswer: 54.7225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28 - 30) + 0 + (-3)\/(-4). Suppose -405 = -3*q + 2*u, 4*q + u - 688 = -q. Let y = 961\/7 - q. Which is the smallest value? (a) -4\/7 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8751\/2 - -4376. Let r be 3\/(-2 + (-2)\/(-4)). What is the closest to r in 2\/11, d, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4))**31 assuming r is positive.\nAnswer: r**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-7 + (-9 - -15))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 - 21*z**2 + 45*z**2 + z**4 - z + 276*z**3 - 248*z**3 - 3 - 25*z**2 in the form o*z**2 + x*z**4 + c*z**3 + i + g*z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126562879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -0.4 (b) -9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 1, d: 1, i: 2, v: 1}. What is prob of sequence icd?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -33, -15, 1, 9, 3, -23?\n\"Answer: -d**3 + 8*d**2 - 3*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -17.82 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9398341619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4172 + 4170 = 4*r - 5*p, 5*r = -p - 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - 14*w**2 + 10482*w + 20995. What is q(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9144880\/23 or -397604?\nAnswer: -397604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s. Suppose 0 = q - 5*q + 8. Suppose q*b + b - 15 = s. What is the greatest common divisor of b and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/11068 and 73\/404.\nAnswer: 1117868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 = 44. Let s be (-1)\/(3\/f) - -120. Let y be 13 - (1 - 1)\/(-1). What is the greatest common divisor of y and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 7\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -19. Let n(r) = r + r**3 - 22 + 17 + r - i*r**2. Let o be n(8). What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6570553 take away -26?\nAnswer: -6570527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62373 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.1167nm in millimeters?\nAnswer: 0.0003601167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b + 1411. Calculate v(-64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(5*2*sqrt(3)))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3\/4 + 4497*n**2\/2 - 8529675*n\/4 + 616756875 = 0.\nAnswer: 548, 1225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 6. Let u be k(8). Suppose u*q - d + 2 = 0, 2*q + 5*d - 14 = 2*d. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1725\/(-161) + (-220)\/35.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2 + 3 - 119*y - 1 + 2. Suppose 0 = 2*s + 10, 4*s = 5*r - s - 10. Is z(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 6 - 3)*(3 - 2 + 0) + 4 - 1 - 5 - 3 - 1 - 7)*(-2*l + 2 - 2).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 1196, 1854?\nAnswer: 2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -90) + (-2826726)\/32487?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -985*a**2 - 27*a + 104. Let r be t(-43). Round r to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 + 10 = 0. Suppose 5*h + u*h - 16 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287.0858 minutes to seconds.\nAnswer: 17225.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 618436249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssessssese. What is prob of picking 1 s and 2 e?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*q, 57*z - 53*z + 3*q = 91301. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-0.48.\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 - 35. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6240, -2740, 760, 4260, 7760?\nAnswer: 11260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200404 (base 5) in base 3?\nAnswer: -100001111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 22*u - 22*u)*(-3 - 6*u - 1 + 3)*(2 + 2 - 5).\nAnswer: 12*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 9*c + 23. Let j(l) = -l**3 - 2*l**2 + 3*l + 10. Let p be j(-2). Let a be v(p). Let h = -4 + 4.4. What is the biggest value in 0.1, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 21.2.\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60241044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.049 (c) -22 (d) 6 (e) 0.3 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -1\/39, -5.805, -2\/5, -4?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - a**3 + 3*a**3)*((-4*a + 5*a - 3*a)*(1 + 1 + 1) + 2 - 2 - a).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**8\/168 - 536*q**7\/105 + 196*q**4\/3 + 630*q**2. Find the second derivative of m(l) wrt l.\nAnswer: -40*l**3 - 12864*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174898, -349795, -524692, -699589, -874486?\nAnswer: -1049383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4143883*t**2 - 2435*t - 2435. Let x(f) = -3405*f**2 + 2*f + 2. Calculate 2*i(h) + 2435*x(h).\nAnswer: -3409*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/4 - 9*l**2\/4 - 21*l\/4 - 11\/4 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**3 - 4*h**3 - 8*h**3 + (3*h - 3*h + 2*h**3)*(2 - 2 - 2) - h**3 + h - h to the form f + k*h**3 + i*h + g*h**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a = 176*a - 77159025. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.3, 4, 1\/858?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4\/5 - 268*u**3\/5 - 210*u**2 - 1304*u\/5 - 104 = 0.\nAnswer: -130, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 10*y**2 + 5*y - 44. Does 44 divide r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 + 1 = 0. Suppose -6*u + 13*u - 14 = y. Let o = -4\/27 + 35\/54. Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - g. Let k be p(1). Let m(h) = -8 + 23 + 8 - k*h. What is the remainder when 35 is divided by m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3761.4 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 57. Let z = j + 19. Let v = 3 - 0. Calculate the highest common divisor of z and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 + 5715\/(-360) - (0 + 1630\/(-16)). What is the greatest common divisor of i and 3417?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.1 (c) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 - 7*x**3 - 12*x**3 + (x - 2*x**2 - x)*(-4 + x + 4) - 2*x**3 - 4*x**2 + 4*x**2 + 3*x**3 - 2*x + 2*x.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 3*b + 1. Let d be q(2). Which is bigger: 1\/63 or d?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 - 199*l**3.\nAnswer: -199*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-14))\/((-18)\/18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -630521, -5, 70 in ascending order.\nAnswer: -630521, -5, -3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:32 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -119*u**2 - 12*u + 12. Let g(m) = -118*m**2 - 8*m + 14. What is 3*g(w) - 2*k(w)?\nAnswer: -116*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7905.\nAnswer: 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241 (base 11) in base 2?\nAnswer: -11001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*u - 3, 5*s + 4*u - 14 + 1 = 0. Let x = -6 + 6. Let h(g) = x + s - 2 + 0. Let l(z) = 2*z - 3. What is -4*h(f) + l(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybbbybbbyyyyyybbjbb. Give prob of picking 3 b.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1478 + -1318. Calculate the greatest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11278 + -3410. Let u = o - -411211\/28. What is the common denominator of u and 119\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than -388461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/8*6\/21*-2. Suppose 2330*l**2 + 48 - 2326*l**2 + m*l - 54*l = 0. Calculate l.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 4. Let s be h(-4). Suppose -s*g + 3*g = -255. What is the remainder when g is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 7*h**2 + 7*h - 15. Let o be l(-8). Calculate the smallest common multiple of 35 and (-2)\/(o - 729\/(-105)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -755874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -8*h. Let i be (8\/3 - h)*(-9)\/(-6). Solve 2*f + 3*f + 3*s = -21, -4*s - 20 = i*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1735338047 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 58562, 0.3 in decreasing order.\nAnswer: 58562, 0.3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319588 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(-2*n**3 - n + n) + (270*n**2 + n - 40*n**2 + 51*n**2 - 2)*(-4 - 2*n + 4) to q*n + c*n**2 + z*n**3 + f and give z.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 5630*w**4 + 0 + 5631*w**4 + 1 - 1 + 1478*w**3 - 2 in the form x*w + p*w**3 + u*w**2 + i*w**4 + f and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2. Suppose 9*s - 3*s = 30. Suppose -5*z + 4*z - 7 = -s*b, -5*z = b - 17. Let p(k) = -2*k + 2*k + 0*k - 2*k**b. Determine c(p(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 12:13 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/((-2356)\/133))\/(3\/36)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o - 2. Let k be r(0). Let q = k + 7. Find the second derivative of -4*b**5 + 0*b**5 + 3*b**q + 2*b wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 90016*q**2 + 506339988*q - 1013040072.\nAnswer: 4*(q - 2)*(q + 11253)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 220 = 2*d, n + 98 = -n + 4*d. Let s = n + 72. What is the remainder when 116 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x + 1. Let z(m) = -4*m**3 + 3*m**2 - 20. Give -u(i) + z(i).\nAnswer: -3*i**3 + 3*i**2 + i - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 23375*v - 125. Let w(s) = -1113*s + 6. What is -6*i(x) - 125*w(x)?\nAnswer: -1125*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39450, 79516, 119582, 159648?\n\"Answer: 40066*r - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -31*p + 5 - 4 - 4 + 59*p + 2 - 29*p. Let d be (1 - (1 - 1)) + -4. Let s(u) = 2*u**2 + 3*u + 3. Give d*t(j) - s(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/8*a + 0 + 5\/4*a**2 - 1\/8*a**3.\nAnswer: -a*(a - 11)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h - 9*h + 6*h**2 + 0*h. Let u(p) = p**2. Determine i(u(c)).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 1.2. Let l = 1.333 - 0.833. Sort 3, l, -1\/4, m in descending order.\nAnswer: 3, l, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 15*p - 20. Let u be h(-13). Let b be 18\/5 + u*(-5)\/(-75). Solve -b*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + t**2 + 0*t**2)*(0*t + 0*t - t) - 12*t**3 + 10*t**3 + 1 - 4*t**3 to the form n*t**3 + y*t**2 + h*t + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 - 31*y**3 - 75*y**3 - 22*y**2.\nAnswer: -106*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198 (base 12) to base 9.\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 55. Suppose -q*u = u + u. Suppose u*i + 20 = i + 4*o, 4*i = 3*o - 15. Which is bigger: -7\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)\/sqrt(4)*-5 + 4 + 0 + 4.\nAnswer: -20*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*r = 6*n - 220, 2*n + r - 90 = 0. Suppose -346 - 114 = -4*d. Calculate the highest common factor of n and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6306 + 20138. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233.905 + 0.095. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.332 + -0.132. Which is the fourth smallest value? (a) -1 (b) 4 (c) 0.11 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Let m = 3 + -60. Let p = m + 59. Which is the closest to j? (a) -0.3 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 159?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*y**3 + 2774*y**2 + 13*y + 24587?\nAnswer: -330*y + 5548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -8, -18, -28, -38?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**1*i**(2\/7)\/i*(i\/i**40)\/(i\/i**(-11)) assuming i is positive.\nAnswer: i**(-355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41031 + 4?\nAnswer: 41040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40199, -40203, -40207, -40211?\n\"Answer: -4*v - 40195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1) - 0) + (-14)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138358 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 + 2\/(-6). Let p = -17018.98 + 17019. Which is the nearest to 3? (a) -0.4 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from {y: 3, p: 1, b: 1, x: 10, q: 2, h: 1}?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, -5, 1\/2, 0.045, -1, 1.4 in decreasing order.\nAnswer: 213, 1.4, 1\/2, 0.045, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8374266.9 - -775701.1. Let s = 9149944.000002 - g. Let r = 24 + s. What is r rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -24. Suppose 4*w - 51 = -5*z - 10, 5*z = -2*w + 33. Is w bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-5)*(-6)\/414.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2\/(-6))\/(8\/(-58344))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5dd457 (base 14) to base 2\nAnswer: 1100010011010111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/34*(98\/(-7))\/(-7).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255 - -0.522537484.\nAnswer: -254.477462516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811544 is divided by 362307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -256 - -256.5. Sort -3, m, 9, 0 in descending order.\nAnswer: 9, m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -391*d + 4405. Let q be a(11). Solve -q*m + 83*m = 168 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 62\nAnswer: -11\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -867, -1941, -3051, -4197, -5379, -6597, -7851?\nAnswer: -9141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*102\/272*(52\/(-78) - 313\/(-471))?\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (156\/10)\/(11\/55). Suppose 371 = o - s. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26896920 to the power of 1\/2, to the nearest integer?\nAnswer: 5186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(4794\/(-102))*(-1)\/86*-2?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -777 greater than or equal to -741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*v - 698*v + 2079 = 0 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 minus 63.44?\nAnswer: -63.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 31. Suppose 2*p + 2*p = f. Solve -p*v + 10 = -8*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a week in minutes?\nAnswer: 92736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-41064)\/354)\/((-4)\/3 + 1)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -19*m. Let h(b) = -1785*b. Let r(i) = -2*h(i) + 189*t(i). Let y(p) = 11*p. Give r(y(o)).\nAnswer: -231*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*u + 4, u - 4 = c + 3*u. Suppose c = -f - v - 2, 3*v + 2*v = -5. Let s be (-5)\/2*(2 - 0). What is the biggest value in s, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47024247 and 125397992?\nAnswer: 376193976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) 84 (c) -26 (d) 3 (e) 1.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:25 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 19*k**4 + 4*k**3 - 9*k**2 + k + 5. Let f(x) = -9*x**4 - 2*x**3 + 5*x**2 - 2. Let c = -42 + 37. Let q(a) = c*f(a) - 2*i(a). Factor q(z).\nAnswer: z*(z - 1)*(z + 1)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 292 in -34\/3, 3, 8\/179, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 22*w + 2 - 1\/2*w**2 + 5\/24*w**3 - 1\/48*w**4. Suppose y(f) = 0. Calculate f.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 8. Give r(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272609293 and 946.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/4 (b) -124 (c) -762 (d) -5\/2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 22 + 22.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, w: 4, b: 4}. Give prob of picking 3 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 5. Let w be t(0). Suppose 15 = w*i - 4*i. Suppose 4*d + 7 = i. Solve -p = -d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2 + 79*l + 10. Let b be c(-20). Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100505608?\nAnswer: 2, 7, 811, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u = -26*u + 4*u - 704 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(637) + -1)*2)**2.\nAnswer: -56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {a: 2, f: 1, u: 1, t: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -674609264564 - 1182\nAnswer: -674609265746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1. Let q(k) = -k - 1. Suppose -4*r + 5*n - 12 = 0, 5*r = 2*n + 2*n - 24. Let l be 5 + -3 + 11 + r. Calculate l*b(f) + 5*q(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p**4\/5 - 5450*p**3 - 2769752*p**2\/5 + 1780480*p - 1038336\/5 = 0 for p.\nAnswer: -208, 4\/33, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 25 = 0, s + 11 = -3*s - z. Let t = 0.0304 - 0.2304. Sort t, s, -3, -4\/9.\nAnswer: s, -3, -4\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21139 is divided by 7040.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 4*k**2 - k - 1. Let l be (8\/10)\/(4\/230). Let r = l - 50. Calculate t(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 2*z**8\/21 - z**6\/10 + 37*z**5\/30 - z**4\/2 - 2026*z**2. What is the third derivative of b(y) wrt y?\nAnswer: 1920*y**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 41*q - 1 - 13*q - 29*q. Suppose -7 = 5*l + 8. Give y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z. Let l(h) = -242538*h**2 - 4*h. Give i(l(x)).\nAnswer: -1940304*x**2 - 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 0*q**5 + 0*q**4 + 61 + 0*q**3 - 21\/2*q**6 + 47*q - q**2. What is the second derivative of z(i) wrt i?\nAnswer: -1260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**7*h)\/h**(-6))**47)**(-1\/5) assuming h is positive.\nAnswer: h**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/30)\/((20\/5)\/16)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(-5*m + 2*m + 2*m) + 76*m - 192*m + 5 + 89*m to t + s*m and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (3 - 4))*2. Let v be (t\/8)\/((-126)\/(-840)). Factor v*p + 10\/3*p**2 + 5\/3*p**3 + 0.\nAnswer: 5*p*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -4. Calculate the least common multiple of l and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -16*s. Suppose s = -2*y - 3*y + 25. Suppose -y = 5*k, -4*d - 68 + 240 = 4*k. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13662 + -110?\nAnswer: -13772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s - 1. Let d(t) = 2*t**2 + 2*t - 6. Let r(o) = d(o) - 6*y(o). Is 24 a factor of r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101 or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -10101201221022?\nAnswer: 10101201221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 120f (base 16) to base 3\nAnswer: 20100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + -1.6. Let r = 1.2 + j. Which is the second biggest value? (a) r (b) -2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -58, -209, -402, -613, -818, -993, -1114?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/9966 and 1\/728424?\nAnswer: 8012664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 2*u = 48 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45469964647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -445*k - 189. Determine r(-1).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, -19, -38, -79, -148?\n\"Answer: -p**3 - 2*p**2 + 10*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29999, 119692, 269077, 478154, 746923, 1075384?\n\"Answer: 29846*s**2 + 155*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1)*43\/43. Let g(l) be the first derivative of -8*l**2 - 11 + f*l**4 - 3\/5*l**5 + 0*l + 0*l**3. What is the second derivative of g(n) wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*i*q**2*w - 96325*i*q**2 - 45*i*q*w - i*q + 14*i*w - 15*q + 4*w + 3 wrt q?\nAnswer: -708*i*w - 192650*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1817, 14488, 48825, 115640, 225745, 389952?\nAnswer: 619073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, m: 1, r: 1, l: 4}. Give prob of sequence llm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -990256 + 1534637. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 10 = -4*h. Solve h*y - 6 = -0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*p + 21 = -3*p, j = -2*p + 8. Let g(i) = -i**3 + i**2 + i - 1. Let n(w) = -3*w**3 + 8*w**2 + 5*w - 6. What is j*g(y) - n(y)?\nAnswer: -3*y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 18) + (-1)\/(-3)*3. Let c be (-4)\/((-20)\/q) + 933. Round c to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-42)\/7)*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112201021 - 2011?\nAnswer: -112210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v - 20 = 0. Let l(z) = z**3 + 4*z**2 - 31*z + 13. Let k be l(-8). Suppose -1278 = -v*x - k*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 2)\/(3\/12)*-1. Let q be 6 + (2 - (i + 9)). Solve -5*o + 16 = -3*b, -5*o = -q*b - o - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + f = 3, 3*f = -1 + 16. Suppose -u + n + 6 = -0*n, j*u = -3*n + 2. Suppose 2*w = 3*b - 5, -b + 6 = u*w - 5. Solve 0 = 5*c + 13 - b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-3*j + 4*j + 5*j) + 12130 - 127*j - 12130.\nAnswer: -121*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12323\/10010 - 12\/715. Let n = -12\/7 + q. Let t be (3\/2)\/((-20)\/(-8)). Which is the smallest value? (a) n (b) t (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*q**2 + 3 + 2 - 5.\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g*n**3 + 3*g - 76*n**4 - 87*n wrt n.\nAnswer: 24*g*n - 912*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-220)\/(-80) + (-1)\/(-4). Let f(i) = -i**2 - 3 - 3*i**2 + 324*i - 330*i + g*i**2. What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*l**2 - 6*f*o**3 + 11*f*o**2 - 8*l**2*o + 21*o**3 - 2 wrt f?\nAnswer: l**2 - 6*o**3 + 11*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 208950062, 417900125, 626850188, 835800251?\n\"Answer: 208950063*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*4\/(-8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 4:51 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*y + 15, 0 = -0*y + 2*y - t - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 5. Solve 2*h = -h + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12416040 - -3?\nAnswer: 12416043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waz when three letters picked without replacement from {o: 8, a: 1, x: 1, z: 2, p: 2, w: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -18, -26597 in decreasing order.\nAnswer: -3, -18, -26597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -135, -334, -613, -972?\n\"Answer: -40*u**2 + u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 20*a**2 + 4*a + 11. Let g(n) be the first derivative of -4*n**3\/3 - n**2\/2 - 2*n + 530. Calculate 11*g(y) + 2*r(y).\nAnswer: -4*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 35 = -457*j + 456*j, -14 = -m - 3*j. Solve -45*u - 3*y + m = -46*u, -5 = -y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 43 + 147 = -4*u - 37 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -16*s**5\/3 - 808*s**4\/3 + 1933*s**3 - 7307*s**2\/3 + 2617*s\/3 - 95 = 0?\nAnswer: -57, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.043 (b) -0.4 (c) 0.988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23586 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: Express -8 - 2*s - s**3 - 3*s**2 + 0*s - 8 + 14 in the form u*s + a + g*s**3 + d*s**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936104671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213.14 - -1168.04. Let j = v + -1019. What is j rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h = 212201 + 531031. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 4\/3*j**3 - 5*j**2 + 0*j + 0 + 7\/24*j**4. Differentiate p(w) with respect to w.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 + -236. Suppose 2*t = -2*u + r, 2*u = -5*t - 0*u + 8. Solve -3*v - 2*v = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/390)\/((28\/49)\/(5\/7)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 5*q - 4. Let d be o(-6). Let j(c) = -c**3 - 9*c**2 + 9*c - 8. Let b be j(d). Put b, -2, 3 in ascending order.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (23 - (3 + 6 + 10))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*b**3 + 44405*b**2*j - 8*b*j - 38*j + 1760687 wrt b?\nAnswer: 246*b**2 + 88810*b*j - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*u - 3*j, -4*u = 4*j + 2 + 6. Suppose 24 = u*o - o. Let g(v) = v**3 - 7*v**2 + 19*v - 171. What is the remainder when g(8) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.6 + -7.6. Let j = -33.688 + s. Let p = j - 13.212. What is p rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-75)\/20)\/5 - 14\/(-16). Put m, 188, 3 in increasing order.\nAnswer: m, 3, 188","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -5, -1\/4, -0.1, -0.045.\nAnswer: -5, -1\/4, -0.1, -0.045, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 15*s + 3. Let n be a(-15). Suppose q = 4*o + n, -3*q + 49 + 40 = 4*o. Let z = q + 80. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1320 by 6.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**4 + 3288*b**3 - 23166*b**2 - 3288*b + 23163 = 0?\nAnswer: -1103, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1213954 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 135*r**2 + 71*r - 265. Let l be f(67). Put 2, l, -741 in ascending order.\nAnswer: -741, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -23*q - 12. Let y(o) = -15*o - 8. Let b(f) = -5*a(f) + 8*y(f). Let r(v) = -2*v - 2. Determine -3*b(s) + 7*r(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -2\/3*p**3 - 5*p + 4*p**2 + 0. Let r(t) = 1. Let a(y) = -8*r(y) + x(y). Let m(w) = 2*w**2. Determine m(a(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((234\/60)\/13)\/((-51)\/34)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65443 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 82.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1320 and 2541736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-3 - (2 + -4)). Suppose 0 = -q + a*q - 8. Suppose 1 = -q*d - 3*r + 13, -5*d - 2*r + 22 = 0. Solve 3 = -z - 2*m, -d*z + 4*m - 12 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 - 11*b**2 + 20*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82777840 by 11785.\nAnswer: -7024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 3*c + 31, 53522*c - 53526*c - 28 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -106956 in 0, -0.04, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from dkovvvzoddddkvkdd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**2 + 1383*f + 2797. Give u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 44 - 54 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302138 = 159*n - 289577 for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -9285?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 32604840?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625258*s - 208408*s - 208421*s - 208410*s.\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 + 332567*y\/2 + 1662785.\nAnswer: (y + 10)*(y + 332557)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4010 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9228 - 23673 = -37*h + 29141. What is the greatest common factor of 114 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 - 9*l + 17 + (0 + 0 + 5)*(-181*l + 94*l + 145*l).\nAnswer: 281*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1241604 and 123933.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + -2*sqrt(396) + sqrt(396) + 1 + 1 + -3*(sqrt(396) + sqrt(396)*2 + sqrt(396))))**2.\nAnswer: -17472*sqrt(11) + 1071568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 8677\/964)\/(6 - -3*(-49)\/24)?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24*1*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 270 and 275 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -284, -203 in descending order.\nAnswer: -1, -203, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81623?\nAnswer: 31, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -430+0.11\nAnswer: -429.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*i + 1387 = 2025*i - 13742 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*y + 2*t, -4*y + 21*t - 18*t = 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/(504\/80))\/((-2)\/(-3)). Solve 5*h = -m + 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940494 to the power of 1\/2, to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-3) + -3 + 20\/(-6). Let k be 2 + (-6)\/78 + c. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**2 + 1363*j + 46275. Give a(-64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28*-3592\nAnswer: 100576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -169 + -25 + 26 + 33 - -24?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14336042 = -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46394, 92784, 139174, 185564?\nAnswer: 231954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 61047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gguggguqgggggg. What is prob of picking 3 g and 1 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let a(j) = 986*j. Determine a(l(c)).\nAnswer: -1972*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*g - 10. Let h be (-128)\/g + (-16)\/48. Let i = -14 + h. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 970*i. Let q(x) = -x**2 + 159*x. Determine q(j(v)).\nAnswer: -940900*v**2 + 154230*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 - 9. Let n = 114 - 103.8. Let v = n + d. Which is the nearest to v? (a) 0.5 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4\/4 - 181*b**3\/4 + 3579*b**2\/4 - 23391*b\/4 + 3703\/2 = 0.\nAnswer: 1\/3, 14, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19320*s**4 - 9664*s**4 + s**2 + 55*s**3 - 379 - 9665*s**4 wrt s.\nAnswer: -216*s + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 42*x**3 + 15*x**2 + 15*x - 15. Let n = 123 + -138. Let g(w) = 6*w**3 + 2*w**2 + 2*w - 2. Give n*g(s) + 2*d(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**2 + 310*t - 33*t**2 - 310*t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261 - 1*(3 + -7)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/39991 and 3\/9259?\nAnswer: 1879577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Let l(x) = -x**3 + 4*x**2 + x + 1. Let i be l(p). Which is smaller: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/((-6)\/8). Let g be (4\/c)\/((-18)\/(-27)). Let d = -31 - -35. What is the nearest to g in -3, 1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 1. Let p be b(5). Differentiate -p*l - 2*l - 12 - 5*l with respect to l.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4926 by -6.\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/40 + o**4\/24 - o**3\/3 - 6*o**2 + 38*o - 3. Determine g(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10508783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 3\/5, -76\/81, 0.01, 2.4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417491534.\nAnswer: 2, 3, 37, 149, 42853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 30*y**2 + 384*y**3 - 388*y**3 - 30*y**2 - 8. Let b(w) = 3*w**3 + 7. Calculate 5*b(u) + 4*f(u).\nAnswer: -u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:07 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 6, 30, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -156 and 8.\nAnswer: -1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958154 is divided by 985427.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 5}. What is prob of sequence lg?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4005797.\nAnswer: 383, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 + -1)*1 + -2. Let u = -14 - q. Let f(l) = 2*l + 1 - 4*l**2 - l + 4*l - 3*l. Give f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = -30. Suppose -2*g + 68 = 2*c, -4*g + 2*c + 21 = -139. Find the common denominator of 61\/10 and 12\/z*g\/28*5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 2*f - 3*f)*(12 + 2 + 25)*(-2 + 2 - 1) to the form h*f + a and give h.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -7. Suppose 3*f + t = x*f - 1460, -5*t = -25. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b090d5 (base 16) to base 7.\nAnswer: -200232620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 7. Let k be i(9). Let j be 10\/(-2 - (k - 1)). Let l = j + -8. Solve 2*n = -0*n - l*y, 3 = -3*n - 4*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(114) - sqrt(114))\/(sqrt(66)\/(sqrt(33)\/sqrt(3))).\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*k = -g + 6, -3*g = 5*k - 20. Suppose 0 = -4*t + 2*h - 0*h + 74, -g*t - 5*h = -115. Suppose -t*w + 21*w - 21 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 - 2*b + 41*b**2 + 2*b.\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*f**3*h**2 + 5602036*d**2*f**3 + 3*d**2*f**2*h**2 + 669150*d**2*f*h**2 + 3*d**2*h**2 wrt f.\nAnswer: -12*d**2*h**2 + 33612216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006656?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**2\/2 - 6*h - 4. Suppose 96 = 8*b + 8. Let k(f) = b - 16 + 6. What is 14*k(j) + 2*y(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 30 + 19)*(j - 4*j + 2*j) + (1 - 2 - 1)*(-2*j + 3*j - 2*j) as u*j + y and give u.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 24*r - 84. Let k(n) = 5*n - 17. What is 3*c(u) - 14*k(u)?\nAnswer: 2*u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (2 + (6 - 12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 8*k**2 + 7*k - 6. Let g(c) = -2 - 2*c**2 - 6*c**2 + 7*c + 32*c**3 - 3 - 30*c**3 + c**2. Determine -6*g(s) + 5*z(s).\nAnswer: -2*s**3 + 2*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2565 and 51984?\nAnswer: 779760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 426 + -294. Suppose -2*y = y - l. Suppose -y = -2*u + 28. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 2842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 6.7. Let w = m + 5.5. What is the closest to 2 in 0.4, w, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11856 + -0.11825306. What is c rounded to six dps?\nAnswer: 0.000307","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-24)\/7)*(-3615)\/(-6748).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 3. Let z(u) = 1. Let q(t) = -2*h(t) - 6*z(t). Let m(b) = 0*b**2 + 2*b**2 - b**2. Determine q(m(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)*-1))**2 + (sqrt(108)*-1 - sqrt(108))**2 + 5.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (88\/33)\/(12\/27). Find the third derivative of -2*m**h + 2*m + 45*m**2 - m**4 - 53*m**2 - m wrt m.\nAnswer: -240*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183\/374 - 2\/187. Which is the nearest to u? (a) -0.5 (b) 2\/23 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(117\/(-52)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -188 + 180 + 1*(-8)\/(-2). Let t = -2 - -5. Let d = t + 1. Sort z, -5, d in increasing order.\nAnswer: -5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -50. What is the smallest common multiple of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - -84 - (46 - (6 + 2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/13 (b) -2\/11 (c) 2\/3 (d) -0.1 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -111433, -107993, -104555, -101119, -97685, -94253, -90823?\n\"Answer: -u**2 + 3443*u - 114875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3475 - 2320. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-42) + (-31)\/2. Let h be (-42)\/b - (-3)\/15. Find the common denominator of -33\/2 and 124\/96 + h + -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 53. What is t(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2129, -20 in ascending order.\nAnswer: -2129, -20, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/10 in -2\/21, -2\/13, -5, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 76, -1\/7, 1, 119, 1\/2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*u = -o - 49, -3*u - 3 = -3*o. What is the remainder when 10 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/(-31)*155\/25*-1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5670, -11353, -17036, -22719?\n\"Answer: -5683*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/((-3*5\/15)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 o when three letters picked without replacement from ooohhhhohhoohhhhhoh?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 83*s**2 + 41*s + 15. Let f be t(-41). Calculate the highest common factor of f and 675.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 19, 10, -19, -74, -161?\n\"Answer: -a**3 - a**2 + 15*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1. Let w(g) = -708*g + 26. Give 52*a(i) - 2*w(i).\nAnswer: 1416*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-3*y + 5*y - 4*y)*(1 - 5 + 0)*(5 + 5 + 0) + (0 - y + 0)*(-2 - 3 + 3).\nAnswer: 162*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8170 + -8687.1. What is t rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20, -33.\nAnswer: -33, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n + 1220 = -53*n + 25*n - 2048 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/139 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 + 208?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 0.04122551941?\nAnswer: -4.04122551941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50967, 101927, 152887, 203847?\n\"Answer: 50960*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1474*q = 2137*q - 201008 - 145648 for q.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times 32321.3\nAnswer: 116356.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130334 - -423?\nAnswer: 131201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.51 to 0 decimal places.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + 26 + (34 - 62).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 5522850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 813915 to the power of 1\/2, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5 and ((-1)\/(-5) - 2) + 0\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 6 + (4531 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 k, 1 v, and 1 l when four letters picked without replacement from {n: 8, k: 1, l: 1, p: 6, v: 2}.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -6, 0 in decreasing order.\nAnswer: 5, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 3. Let g be a(-5). Let k = -20 + g. What are the prime factors of (0 - k)\/(2\/(-37))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2521561 + 30?\nAnswer: 2521601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 17*c**2\/2 + 4. What is the remainder when 32 is divided by k(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + n**2 + 7 + 4*n - 2*n**2 + 2*n**2. Is j(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1413 (base 10) to base 12\nAnswer: -999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 17*v - 33. What are the prime factors of j(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 25*v**2 + 12*v + 4. Let u(h) = -19*h**2 - 9*h - 3. Let d(p) = 4*u(p) + 3*x(p). Let k(w) = 7*w + 18*w + 0*w. Calculate k(d(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 203383?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Suppose 24 = -i*h + 194. Suppose 86 + h = 5*j. Calculate the highest common factor of j and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2037*a + 2063*a = 1404. What is the lowest common multiple of a and 3861?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + 1*sqrt(400))\/(-2*sqrt(2)*-2).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 313603.\nAnswer: -2, 1, 313603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*h + 12 = 0, -3*h - 21 = 4*q - 5. Suppose 0 = 2*s - 2. What is the tens digit of (q + 1 + 33)*s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -245, -6\/83?\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 3. Let h = -19947 - -19951. What is the third smallest value in m, h, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115\/203 - -21\/58. What is the common denominator of 29\/20 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 997 - 20*v + 997 + 5*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h**3*s**2 + 2*h**3*s - 361*h**3 + 131*h**2 + 24704401*h*s**2 - h*s - 18*h wrt s.\nAnswer: -20*h**3 + 49408802*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cddmddcmmmt. What is prob of picking 1 t and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 178530? (a) -0.4 (b) -2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 12*x + 4*y = -27, 0 = x + 5*y + 34 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7225938 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1915 + 1910 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/280 and -31\/3780?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*c - 2 + 18, -a - 5*c + 29 = 0. Suppose 0 = 2*s + 3*i + 1 - 5, 2*i = -3*s - 4. Let z = 7 + -7. Put z, a, s in descending order.\nAnswer: a, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) + (-52)\/(-8). Suppose -4*x + 5*r + 148 = 0, -2*x + w*r = -36 - 28. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Let m(l) = l - 28*l**2 + 53*l**2 - 26*l**2. Let k(d) = -16*d**2 + 6*d + 1. Let y(j) = -k(j) + 6*m(j). Calculate y(x(u)).\nAnswer: 40*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:17 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = 5*t - 6*n, -153 = -2*t - 3*n - 1. Solve -56*o + t = -42 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 7*m**2 - 5*m. Let w = -51 + 56. Let p be d(w). Round p to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 6*c + 11. List the prime factors of l(9).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-24) - (33\/88 - 4\/6)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -63*d - 38. What is l(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 364?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 8*h - 14. Let x be g(-11). Suppose -x = -5*n - 4*w + 22, -3*n = 3*w - 27. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 2, c: 3, k: 2, g: 3}. Give prob of picking 2 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*d = -132, 4*l - 94 = -3*d + 176. What is the remainder when l is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5193*y + 1298*y + 1287*y + 1289*y + 1287*y.\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 17. Suppose p + 3*v - 227 = 0, -3*p = -l*v - 513 - 168. Let o = p + -132. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1202*b**2 + 33655*b + 22. What is d(28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15*j + 76*j**2 - 21*j**2 - 29*j**2 - 3 - 27*j**2. Let c = 2 + -16. What is the least common multiple of y(c) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a - 8*a - 3*a)*(10 - 3 - 6 + 10*a) as m + t*a + j*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (67077984\/45 + 1 - (-32)\/240) + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 9*c + 2. Let k be i(-5). Is (-4)\/k - (-104)\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-25)\/1195) - (-4 - -2). Suppose -528 = -247*l + q*l. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 18*o**2 + 2*o - 1. Calculate the remainder when 32 is divided by k(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2242 (base 5) to base 2.\nAnswer: 101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 13*a**6\/2 + 26*a**3\/3 + 31. Find the third derivative of u(k) wrt k.\nAnswer: 2340*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*5*(sqrt(156)*-1 - sqrt(156)))\/(-4*sqrt(972)*2 - (sqrt(972) + -4*(sqrt(972) - (sqrt(972) + sqrt(972) + (sqrt(972)*-1 - sqrt(972)))))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*a + 4*v - 3, 5*a + v - 19 = 0. Let k be ((-112)\/6)\/(-4) - a. Let q = 2 - k. What is the closest to 1 in q, 4\/9, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 39588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2368644 less than -2368645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 917*u**2 + 152*u**2 + 435*u**2 + (1 + 1 - 1)*(-4*u**2 + u**2 + 2*u**2) as f + a*u**2 + n*u and give a.\nAnswer: 1503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 13) to base 8\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24639567 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 413369*o**2 - 4*o - 3. Let p be r(5). Suppose 11*m - 18402606 = 8*m. Let s = p - m. Round s to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -77 - 8624. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) - (-2 + sqrt(5)*-2)) + -2.\nAnswer: -2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*2 + sqrt(550) - (sqrt(154)*2)\/sqrt(7))\/((-5*(3*sqrt(10) - sqrt(10)))\/sqrt(5)).\nAnswer: -13*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0118536532 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -951.461\nAnswer: -1902.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 + -7 - (-15 + 23)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 64. Let n = q + -11. Is -0.1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 9*n**2 + 2*n + 8. Let z be o(6). Let s = z - -154. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1469 divided by -13\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - 65. Determine z(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 14*m**2 + 3*m + 42. Let f be j(-14). Suppose 16*h - 382 - 466 = f. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.4, 84, 34\/9, -2\/9, 0.4, 205\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqq. What is prob of picking 2 q and 1 p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjfjjjjjjqjfjfqjjjj. Give prob of picking 1 q and 2 j.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Let v = 14 - 8. Let u = p - v. Which is the biggest value? (a) u (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 864 - 1832. Let r be 64\/6*(m\/224 - -4). Let z(x) = x**2 - 5*x - 4. Let y be z(5). Are r and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let m(z) = z**2 - z - 1. Let y be m(-1). Let f(n) = -n. Let b(p) = -19*p + 2. Let u(j) = y*b(j) - 6*f(j). Let s(a) = u(a) + 6*x(a). Give s(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319 and 766425?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 - 104. Calculate the remainder when 98 is divided by b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(68) + sqrt(68))\/sqrt(4) - (sqrt(1700) - ((-1*sqrt(1700))**2 + 4)).\nAnswer: -10*sqrt(17) + 1706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -2167, -4925, -8797?\nAnswer: -13783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose z = 2*k + 84, -2*z - 4*k + 168 = -x*k. Suppose -6*o + 2*o = -z. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 1. Let g = 4 + -7. Let x be v(g). Let u(f) be the third derivative of -f**6\/40 + f**5\/20 - f**4\/24 + f**3\/3 + 3*f**2. Give u(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64342 - -140795. What is the ten thousands 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 + 3 + -2 - -14) + -844 + 806?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, g: 9, x: 1}. What is prob of sequence xcgg?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 52*v + 133. Calculate n(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3440351 (base 7) to base 12\nAnswer: -1889a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5355924 milliseconds to minutes.\nAnswer: 0.00000892654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -7, -5.\nAnswer: -7, -5, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 558*n - 3. Let x(v) = -74*v**2 + 3*v. Calculate h(x(l)).\nAnswer: -41292*l**2 + 1674*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 21, 41?\n\"Answer: 20*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4606735 divided by 658105?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 + 2*m - 5. Let q be s(-5). Let z = 81 - 95. Is z smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l**4 + 2*l**4 + 2*l**4)*(-6*l - l + l) - l**5 + 0*l**5 + 0*l**5 + 8*l**3 - 285*l + 285*l - l**5.\nAnswer: 34*l**5 + 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 - 219 + 93*z**2.\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2269 + 2186.52. Let n = c - -69.2. What is n rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42729 is divided by 509.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -17.01 (b) -1 (c) -5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a = 5. Let d be (0 - -1 - a)\/(-1). Suppose 3*t - 12 - 3 = d. Solve -t*v + 7 + 3 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417455 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -175898 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 4, v: 5, b: 4}. What is prob of sequence lvv?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 2021152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*m + 638540182 + 1192659818. What is m rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 694080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y - 2*y + 29*y**3 - 10*y - 10*y + 6*y wrt y.\nAnswer: 174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7126 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/1813849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-14)\/21*(-33057)\/18?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 13.26. Let d = 0.14 - m. What is the biggest value in 0.3, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 18 = -11*r. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15658 + 15679. What is the remainder when 311 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 9105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2 + 33842*c - 15849325 = 0. Calculate c.\nAnswer: 475, 33367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (57\/(-15) + 3)*1230\/12. Let i = m + 84. Suppose 13 = 2*b - p, -4*p = i*b - p + 7. Solve -4*j - 3*c - b + 0 = 0, -c = -4*j + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 125, 94, 59, 32, 25, 50, 119, 244?\n\"Answer: 2*l**3 - 14*l**2 - 3*l + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427799*5.97.\nAnswer: -2553960.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 24*m - 3*m**2 + 22*m - 7 + m**2 in the form v*m**2 + b*m + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 32*t**2 + 60*t - 236. What is the smallest common multiple of a(4) and 86?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 1, -21, -180 in descending order.\nAnswer: 6, 3, 1, -21, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 15795, 0, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - w + 0 - 3 = 0, -w = -2*n + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*p - 12, 5*p + 19318 - 19327 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19754 + 2*i**3 + 7*i**3 + 19682 wrt i?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -21 + 3*t + 12*t**2 - 3*t**2 + 12*t - 7*t**2 - t**2. Determine z(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2784 and -47\/12.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-189))\/(-8)*102\/(-17)*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7035, -7036, -7037?\n\"Answer: -f - 7034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o + 55 = -4*t, 3*o - 36 = 3*t. List the prime factors of ((-9184)\/24)\/o*-12.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 - 1816*h**3 - 549036*h**2 - 55085400*h + 55636254.\nAnswer: -2*(h - 1)*(h + 303)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8361?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c9350 - -1?\nAnswer: -4c934d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20))**2*1*3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12253 is divided by 303?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 191824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094973 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.59 - -0.36. Let q = j + 0.219. Round q to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 12 + (-9 + 8 - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.980023s to minutes.\nAnswer: 0.04966705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 2048?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -3 (b) 2\/15 (c) -2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7073 bigger than 7114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -42. Let h = o - 1. Let c = h - -4. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.385 - -0.3742. Let i = 0.01671 + q. What is i rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = -l, -b = 5*l - l + 3. Let k = 6 - 3. Let p(t) = 2*t**2 - t - 1. Let f(z) = z. Give b*p(n) + k*f(n).\nAnswer: 2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/973 and -43\/1390?\nAnswer: 9730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*n + 0 + (1 - 5 + 3)*(-3 + 3 - n) + 5*n + n + 4*n + 3 + 0 - 5 - 2*n.\nAnswer: 11*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 7\/104 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) - (-36)\/10. Solve 6 + 2 = l*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1155461 and -1155461 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v + 3. Let c(x) = x + 0 + 1 + 1 + 2*x. Calculate c(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -5 (c) -1\/8 (d) -70 (e) -0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c + 94. Calculate p(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - (-525)\/(-50))*4. Sort 1, 13, s, 4, 2 in ascending order.\nAnswer: s, 1, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31409235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 54 - (1 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4*w + 38102035*d**3*w - 2*d*w - 37*d - 26*w + 40 wrt d.\nAnswer: 12*d**2*w + 228612210*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -59\/2. Let j = -2.5 - 0.5. Let r be (-6)\/27 - (-56)\/171. What is the nearest to i in j, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 5:07 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 664951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.58. Let v = 0.88 + d. Let u = 2.6 - -1.4. What is the biggest value in v, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 4:06 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203 + -122. Suppose -f = -y + 4*n, 7*n - 2*n = -2*y + 227. What is the remainder when y is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4890 divided by 66285.\nAnswer: -326\/4419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30\/13, 3\/8, -3, -8\/9, 2\/19, 5, 2\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9459 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**2 + 29*t**2 + 15*t**2 - 108*t**2 + 28*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 2*j - 1. Suppose -4*i - 4 = -4*l, -3*i - 4*l + 14 = -4. Let g be d(i). Do 2\/13 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 145*b**2 + 1589*b - 22091. Calculate s(-54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 413465624 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:16 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4\/5, 53, -913, -0.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/q*q)\/q*q*(q\/(q**(-2\/7)\/q))\/q*(q*q**6*q)**4 assuming q is positive.\nAnswer: q**(268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 50*g**2 + 8*g - 59. Is j(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.3 (c) 179 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a**3 - 5732*a**2 + 636*a - 633. What is g(-637)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 43 = -14. Let g = -92 - l. Let p = g - -95. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6132*r**2 - 296*r. Let t(w) = w. Determine t(h(q)).\nAnswer: -6132*q**2 - 296*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + d + 26 = -2*d, -2*t = -4*d - 54. Let v = 1 + t. Which is bigger: 2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + 2*l)*(2*l**4 - l + l) - 2*l**5 + 0*l**5 + 3*l**5 - 3*l**5 - 14*l**5 + 33*l**5.\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**2 + 1389380*l - 9725415 = 0.\nAnswer: 7, 277869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0.1, 4\/3, 1221, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 381012, 381006, 381000, 380994?\n\"Answer: -6*q + 381018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -195*h - 10234. Give q(-52).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(2\/3))*n**(-4)*n*(n*n*n\/n**4)\/(n*n**(-2\/29)))**(2\/13) assuming n is positive.\nAnswer: n**(-742\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -11\/6*l**3 + 0*l**2 + 0 + 17*l + 0*l**4 + 13\/20*l**5. What is the second derivative of w(x) wrt x?\nAnswer: 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13334 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/15522495 and 50\/34149489.\nAnswer: 170747445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in 1, -0.14, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -2*i**6\/15 - 3*i**4\/4 + 17*i**2. Find the second derivative of m(l) wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**3 + 92*v**3 + 41*v**3 - 133*v**3 - 38*v**3 - 182*v**3.\nAnswer: -197*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e6de (base 16) in base 14?\nAnswer: -85102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and 1.67.\nAnswer: -0.3173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.068 + 0.489. Let m = 0.551 - s. Is m smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 30*y**2 + 41*y + 244. What are the prime factors of s(-32)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8485295 and 0.03.\nAnswer: 8485295.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, 0.4, -2\/5, 9997?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5075700 by -60425.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 99a956 (base 12) to base 10\nAnswer: 2444754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.74 and 25890.2.\nAnswer: -19158.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 4:15 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*u + 3856*h**2 + 5550*h*u + 385606503*u wrt h.\nAnswer: -4*h*u + 7712*h + 5550*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 19*x + 48 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 11:18 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (2 + sqrt(847))**2*-4 - (sqrt(700) - sqrt(700)*-3*6)*-1).\nAnswer: -17045 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 2. Let x(c) = -17*c + 0 + 19*c + 1. Determine -3*w(g) - 5*x(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 25 = -5*k, -2*z - 2*k - 20 = 2*z. Let o(f) = f**3 + 4. Let r(i) = -65 + 29 + 31. What is z*o(c) - 4*r(c)?\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6719, -6739, -6749, -6743, -6715, -6659, -6569, -6439?\nAnswer: -6263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (77\/56*4)\/(396\/(-144))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6*w = -3987. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 949, 940, 925, 904, 877?\n\"Answer: -3*s**2 + 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Let q = 5 + 43. Let r be (q\/20)\/6*5. Let p(b) = -3*b**r + b**2 - 57*b + 57*b. Determine u(p(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 59. What is the third derivative of 20*y**5 - w*y**2 - 3*y**2 + 4*y**5 wrt y?\nAnswer: 1440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/22 or 1?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c + 3*k + 28, 0 = -2*c - 2*k + 32. Let h = 7 + 1. Let t = c - h. Which is greater: t or 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*r = -17 - 13, 2*p + r - 14 = 0. Let d = 21 - p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100111 + -1100?\nAnswer: 101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 167*d - 5571. Calculate b(110).\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(162) + -1 + -4 - ((1 + sqrt(162) + 1)**2 + (sqrt(162) + (sqrt(162) + 0)**2)*1)) + -3)*3.\nAnswer: -1008 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Let z = 83 + -59. Let r be (-19)\/z + -7*5\/(-210). Is v greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(4\/117)*(10 + 434\/(-42)). Solve 102 = 56*b - j*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194805.3139 to the nearest 100.\nAnswer: 194800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/2975 and 17\/525.\nAnswer: 8925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*p*q - 3*a*q**2*r - 2*a*q**2 + 4*p*q**2*r + 16*p*q*r - 2 wrt p?\nAnswer: -2*a*q + 4*q**2*r + 16*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r. Let d be u(-1). Let l(n) = -75*n - 1744. Let q be l(-23). Which is the closest to 1? (a) -0.3 (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719599714.\nAnswer: 2, 7, 307, 400093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 7*f**2 + f - 4. Let x(z) = -2*z**2 + 1. Give -2*l(w) - 7*x(w).\nAnswer: 2*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 19. Let c(j) = 1 + 8*j**2 + j - 24*j**2 + 7*j**2 + 8*j**2 - 2. Let n(y) = 3*y**2 - 3*y + 3. Give a*c(f) + n(f).\nAnswer: f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + 37 - -2 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.43 - 117552189114\nAnswer: -117552189122.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.36 + -1.4. Let o = -140 - -140.3. Sort -0.3, o, -2\/7, k.\nAnswer: -0.3, -2\/7, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -506*a - 4. Let h(n) = 1. What is 4*h(f) + y(f)?\nAnswer: -506*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {i: 3, a: 3, d: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -1*(sqrt(84)*2 - sqrt(84)) - (sqrt(84) + -1*sqrt(84)*-6))\/(sqrt(972)*-1 + sqrt(972) + sqrt(132)\/sqrt(176)))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 6\/13, -6, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1194 = -108. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 44 = 16*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109.6437 hours to days.\nAnswer: 4.5684875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 41 = 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 22 = -3*d + 4*c, 0 = 2*d + c - 9. Differentiate 9*n + 10 + d - 2 wrt n.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8701 and 1149775?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 12\/(-9))*81\/(-135).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 3*c + 9, 0 = -19*g + 17*g + 3*c - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1139 by 67.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 127199930 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*h + 5*a, 5*h + 6*a - 180 = 11*a. Suppose -h*j = -39*j + 10. Factor -6\/5*l**j - 8\/5 - 16\/5*l.\nAnswer: -2*(l + 2)*(3*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 7990150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 10*q - 2. Let v(a) = a**2 + 10*a - 1. Suppose -47*p + 49*p + 12 = -s, 0 = -p + 3*s + 8. Give p*v(m) + 3*h(m).\nAnswer: 2*m**2 - 10*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2774.\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 943253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1932095 is divided by 62323.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 12563. Let m(h) = -574*h**2 - h. Give n(m(d)).\nAnswer: 574*d**2 + d - 12563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*p - 5, 4*y = 2*p + 4 - 12. Suppose -r + 9 = p*r. Suppose m + r*v - 99 = 0, 80 = m - 5*v - 19. What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -333 (c) -28 (d) -2 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 156 + 636 = 0. What is the highest common factor of g and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3383330 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3471 to 2 decimal places.\nAnswer: -4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -54. Let i = -24.2 - -25.2. What is the nearest to j in -2\/13, i, 2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7266*h**2 - 286*h + 5.\nAnswer: -14532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 7. Determine r(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6779 + 74565\/11. What is the closest to -6 in -3\/7, -0.4, l, -1\/8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4 = -11, 0 = 4*j + 2*r - 126. Suppose -3*d + 5*q = -j, 2*q + 27 = 4*d - 23. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*((6*sqrt(320)*1 - sqrt(320)) + sqrt(320))*3.\nAnswer: -432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212 + 2?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 429 + -390. Let h be 2\/(-13) + (240\/l - 6). Sort -1, 1, 3, h in descending order.\nAnswer: 3, 1, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 382.9 - 382.5. Sort 0.05, -0.01, -4\/5, f, 50 in descending order.\nAnswer: 50, f, 0.05, -0.01, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 55*b - 13. Let r be y(7). Suppose 272 = 4*a - r. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148 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: In base 11, what is -2 + -11034?\nAnswer: -11036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 23938 = -19948 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypyp when four letters picked without replacement from {p: 15, y: 3}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(24\/(-96))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 4*w + 2*m - 10, -5*w = -5*m - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4 + 638*z**3 + 4600*z**2 - 11736*z = 0.\nAnswer: -9, 0, 2, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 17. Calculate the remainder when 16 is divided by i(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 10617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) 1 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/((-3)\/((-2187)\/(-432))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r - 4*r - 2*r + (4 + 0 - 2)*(-2*r + 8*r - 3*r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27550489*d**2*h**3 - 140*d**2*h**2 - 133*d - h**3 - 4*h**2 - 21 wrt h.\nAnswer: -165302934*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -32*d + 35*d. What is the highest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5368)\/(-286) - -14) + -33 - 225\/39\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -137. Which is the third smallest value? (a) 28 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 2*u + 18. Suppose -7*y + 1516 = -u*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -8. Suppose -3*a + 4*s + 179 = 0, 4*s = a - 83 + y. What are the prime factors of -1 + (0 - 2) + a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 660754 in -15, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-120)*5*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2645 times 4?\nAnswer: -10580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1608762 and 125\/6.\nAnswer: 1608762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 5\/3 (b) -7\/5 (c) -2.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68771.\nAnswer: 68771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 + 125 + 91 - 97*s**2.\nAnswer: -97*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31\/4 (b) 13 (c) -0.08 (d) -3 (e) -5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 567, -1.9, -0.22 in decreasing order.\nAnswer: 567, -0.22, -0.4, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cb + -4c3c1?\nAnswer: -4c49c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21648 and 110748.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10401589 to the power of 1\/2, to the nearest integer?\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.05, 9, 4094.\nAnswer: -4.05, 9, 4094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30322 (base 6) to base 4\nAnswer: 332222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**5 - 2*a**4 + 22*a**3 - 22*a**2 + 6*a = 0.\nAnswer: -3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49739\/7 in 0.2, 5, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1959 + (-2)\/(6\/(-5))*3. Suppose 3*t - 1988 = -b, 5905 = 2*b - t + r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1543 - -975. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxx when three letters picked without replacement from vedxdvqdxeqqdqeddqiq?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/21 - 2*7\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 196 = -4*b, 3*b - 147 = -f + 6*f. Let c be b\/(-28) + 2 + 23\/4. Solve -3*d + c = 5*x, 2*x = -4*d + 8 - 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 813\/(5 + (-20)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14b162 (base 15) in base 9?\nAnswer: 1782722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 394.9259 tonnes?\nAnswer: 394925900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 13 + 23 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 76 = -4*c - s, 4*s - 10 = -26*c + 21*c - 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:22 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1316 (b) -5 (c) -5\/4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-10560)\/(-9438))\/(-40))\/((-5)\/(130\/4))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i - y - 10 = -6*y, 5*i - 2*y = 50. What is the least common multiple of i and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*l + 856, 6*r - 1710 = 2*r + 5*l. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 490993241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 120. Let b be -1 + -11 + 0\/w. Let n(d) = -14*d - 26. What is the hundreds digit of n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 2, -0.3, 3\/170?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4939461 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-14))\/(24\/(-84)). Let s be (-2 - (-10)\/4) + q\/(-8). Suppose s*p - 5*l = 3*p - 28, -4*l = 4*p - 24. Is -10 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692830592?\nAnswer: 2, 3, 1469471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(-130)*5*(-10)\/(-1). Sort 2, -71, o in ascending order.\nAnswer: -71, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, -1, 4, 34, 2, 4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let g be (-90)\/(-250)*5 + -2 + 0. Which is the nearest to g? (a) 5 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l**2 + 35*l + 62. What is the units digit of t(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.307 and -258993.\nAnswer: -79510.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 8*i**2 - i + 8. Let t be v(-8). Is 2\/4*t + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -7 - 2) + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 707*t. Let a(u) = -3*u. Determine r(a(o)).\nAnswer: -2121*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (9 - 14) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, 29, 61, 73, 71, 61, 49, 41?\n\"Answer: j**3 - 19*j**2 + 108*j - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -969035?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/9 - 13*s**4\/9 - 10*s**3\/3 = 0.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.7275 and -9.\nAnswer: -348.5475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -432 - -596. Let x = 163.2 - j. Which is the nearest to x? (a) -0.5 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**7\/1470 - i**6\/210 - 11*i**5\/70 - 29*i**4\/42 - 55*i**3\/42 - 8368*i**2 + 2*i. Let f(h) = 0. Calculate h.\nAnswer: -5, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -23*i - 133. Let w be a(-6). Suppose 0 = -j - 4*l + 737 - 291, -2*j - 3*l + 887 = 0. Let o = j - 1753\/4. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -0.74.\nAnswer: -9.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 32, 44, 56?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*r**2 + 40*g**4*r - 4*g**3*r**2 + 6*g**2*r + 4*g*r + 12*r**2 wrt g.\nAnswer: -24*g*r**2 + 960*g*r - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) 1428 (c) -0.6 (d) 5 (e) 6\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2771843\/625230 + -1\/62523. What is the common denominator of t and 22\/777?\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*a = -41, -2*h + 4*a + 42 = 46. Let s(x) = -11*x**2 + 88*x + 6. What is s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3013*q - 2820226. Give c(936).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -2) + 25 - 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1982 by -5.\nAnswer: 1982\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + y + 3410. Let x be d(-41). Let m(g) = -37*g**2 + 9*g + 13. Let r(f) = 19*f**2 - 5*f - 7. What is x*r(j) + 4*m(j)?\nAnswer: -15*j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 3\/5 (c) 0.24 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14993748 to the nearest integer?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-15) + 15\/25. Suppose 0 = -u, 6 + 0 = o*b + 2*u. Let x(d) be the first derivative of -d**2\/2 + 3. What is x(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + 0 + 1 + 1 - 1 + 3 + 0 + (0 - 1 + 2)*(-2 + 2 + 1))*(-5*p**4 + 6 - 6) + (0 - 7 + 2)*(-p**4 + 4*p**4 - p**4).\nAnswer: -45*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14b (base 12) to base 8\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4054.039 to the nearest 10.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {h: 1, p: 4, z: 9, q: 4, e: 2}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*w**2 + 35*w**2 - 34 - 71*w**2 wrt w?\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75.09 - -6.89. Let k = 68 + q. Sort -4, 5, 1, k in ascending order.\nAnswer: -4, k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2791.287 to the nearest ten.\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t. Let u(d) be the first derivative of 1\/24*d**4 + 3\/2*d**2 + 0*d + 2 + 0*d**3. Let b(c) be the second derivative of u(c). Calculate b(h(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (186\/(-3255))\/((-33)\/(-21))*-44*21\/12\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**5\/80 - k**4\/16 - k**3\/8 - k**2\/8 - 3*k - 6. Let u(a) be the first derivative of y(a). Factor u(t).\nAnswer: -(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*l - 19, -4*l - 2*j = l + 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4736 - -5467. What is the greatest common divisor of c and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*c + 19, -65 + 69 = 2*c + p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 39447.887.\nAnswer: -39447.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8648528 is divided by 391.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -7. Let a be 17\/f + 6\/15. Let l = 9 + a. 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: Two letters picked without replacement from {u: 1, q: 1, t: 1}. What is prob of picking 1 u and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, d: 3, r: 1, a: 2}. Give prob of sequence dddc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2481 divided by -3\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.063 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7431 is divided by 76.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 100 + 4*w**2 + 207 - 69.\nAnswer: 4*w**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2. Let y(n) = -7*n - 51. Let w be y(-8). Suppose -w*f + 0 = -55. Let o(l) = -f*l + 2*l + 14*l. Determine o(c(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0*v - 125*v**2 - 7 + 4*v**3 - 21*v**3 - 7*v + 132*v**2. Let u(g) = -8*g**3 + 3*g**2 - 3*g - 3. Determine -3*k(l) + 7*u(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/23)*m*m*m*(m\/((m*m*m*m**(1\/18)*m)\/m))\/m*m)**(-19) assuming m is positive.\nAnswer: m**(-13927\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4369 and 11509.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(2 + (-3 - 0)). List the prime factors of r\/(-3 - (-147)\/48).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44278 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142413720 by -2031.\nAnswer: 70120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 1. Let m(y) be the third derivative of -y**5\/120 + 3*y**4\/8 + 4*y**2. Let b(f) be the second derivative of m(f). Determine b(z) - u(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92\/138 - 2300\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165067400 rounded to the nearest one million?\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130*a*r**2 - 4*a*r + 21*a + 24171*r**2 - 2 wrt a?\nAnswer: -130*r**2 - 4*r + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 35 + 1)*(3 - 2 + 1)*(-1 + 0*x - x + 2*x).\nAnswer: -82*x + 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(4 + (-536)\/132). Put 0.1, a, -1\/10, 3 in decreasing order.\nAnswer: 3, a, 0.1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/2 - 8*y. Suppose 8*d + 2*d = -50. Let x(g) = 7*g. Let l(c) = -9*c. Let f(s) = d*l(s) - 6*x(s). Calculate m(f(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196742 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-30))\/(21\/(-15)*528\/(-1848)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004239 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/5 - 84*j + 19872\/5 = 0.\nAnswer: 72, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 - (-4734)\/(-1). Let s = w - -85183\/18. What is the common denominator of s and ((-31)\/5)\/(16\/5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4070*u + 30. Let s be i(2). Round s to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0976376 millilitres to litres.\nAnswer: 0.0000976376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7678 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3890 + -152. List the prime factors of i.\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90 + -3?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 11:20 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 170? (a) 4 (b) 5 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose -o*n = -8*n. Suppose 4*b - 33 - 71 = n. What is the highest common factor of 234 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-16)\/115) - 1\/(-4). Suppose -5*u = -2*u - 87. What is the greatest common factor of u and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183518991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 23*z + 18*z = 60, -5*j = z - 78 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8239 by -77.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let y be (4 + (1 - 1))*q. Solve 0 = y*f, -5*j + 2*f = 5*f + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 41. Suppose -m*o = -73558 - 321842. Round o to the nearest 1000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719*z - 723*z + 1 - 17.\nAnswer: -4*z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from zydffyfzzjyzdyfsd?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 9*j**2 - 2*j - 4. List the prime factors of h(10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 76569.2.\nAnswer: 76562.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 1, i: 2, q: 1}. What is prob of sequence qcs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-150)*-4*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86458 or 86852?\nAnswer: 86852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*z - 12\/5 + 9\/5*z**2.\nAnswer: 3*(z + 2)*(3*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 9*y + 4*y)*(-2*y**2 - 2*y**3 + 2*y**2) + 3 - 2*y**4 - 3.\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59759465531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -804353.1 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 - 9*z + 79)*(0*z**2 + 3*z**2 - 4*z**2 + 1) as q*z**2 + x + o*z + l*z**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -14. Let v = -6.0000044 - p. Round v to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s + 4 - 2859*s**2 - 1 + 2831*s**2 + 3 - 8*s**4 + 29*s**3 = 0.\nAnswer: -3\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x - 2 + 11*x + 4)*(-281 + 1355 + 195).\nAnswer: -8883*x + 2538","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9050\/61540)\/((2\/6)\/((-16)\/(-40)))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10374 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457869?\nAnswer: 3, 152623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3475, 0, -2, 42, 4 in descending order.\nAnswer: 3475, 42, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21836346 divided by 3?\nAnswer: -7278782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/9)*n**9*(n\/n**(-15))\/((n*n*n*n**(-2\/3)*n*n)\/n*n*n) assuming n is positive.\nAnswer: n**(178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 3) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 8. Let p be b(8). Let i(x) = -4*x + x + 170*x**3 + x**2 + 1 - 20*x**3 + p. Is i(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (-36 + 89 - 151)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*(-2)\/(-8)*2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 1, j: 2}. Give prob of sequence ooji.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172469.74546 plus 0.5?\nAnswer: 2172470.24546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from kkmkfftkmkfkmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5878 + k**2 - 5878.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2374758 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.98362 weeks to hours.\nAnswer: 8061.24816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486619943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - 278. Let h = 386 + m. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0. Let t = -29.9 + 30. Let h = n + t. Which is the nearest to 0? (a) 2 (b) -1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m - 4. Let k(h) = -h**3 - h**2 + h + 2. Let w be k(0). Let b(r) = 11*r + 9. Give w*b(z) + 5*a(z).\nAnswer: -8*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-680)\/100 - 3*(-4)\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18045 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11720 and 4638190?\nAnswer: 18552760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441 + 20?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4 + 2. Suppose n = -w - 6. Let i = w + 16. Solve -3*q = -q - i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 1 + 4 - (sqrt(2448) + sqrt(2448)*2*-6 + sqrt(2448)))*-1 + 3)**2.\nAnswer: 528*sqrt(17) + 296212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 15*j - 19. Let c be o(-18). Suppose -123 = 15*m - 348. What is the highest common factor of m and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -y + 5*u, -y - 5*u - 218 = -4*y. What is the remainder when y is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -77, -104?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -37426879 to the nearest 10000.\nAnswer: -37430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**(-1\/4))\/k*k*k**(-1\/5))\/(k**(-19))**(-22))**(-3) assuming k is positive.\nAnswer: k**(24957\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 1, v: 1, o: 1, l: 2, u: 1}. Give prob of sequence yvl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3 - -8) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l - 2. Let x(o) be the first derivative of -7*o**2\/2 - 2*o - 14. Calculate 4*n(d) - 3*x(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.137 nanograms in milligrams?\nAnswer: 0.000578137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-3)\/18 + (-33)\/18. Let j be 3*3 + -2 + k. Suppose -4*i + 511291 = -2*n - 308701, j*i = 5*n + 2049990. What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, t: 2, o: 7, w: 2, i: 4, d: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9470)\/8523*(-3)\/(-2)*-39?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101101101000110 + -11?\nAnswer: -1011101101101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.09957 weeks?\nAnswer: 31243.6656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61740 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {j: 9, u: 3, e: 7}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a minute in seconds?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6 + 0 = -w, -5*j = -5. Sort -4, -3, -24, w in increasing order.\nAnswer: -24, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*1*35\/28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70745154017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1008) + 5 + sqrt(1008).\nAnswer: 5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75225 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 2*h - 5*f - 93, -h = f - 177. Sort 2, h, -3 in ascending order.\nAnswer: -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/4 and -5\/16993.\nAnswer: 67972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 12. What is r(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 190 = -187. Let u be ((-3)\/(-4))\/(1\/4). Let c be (1 - 1)\/(-2) + 4. Sort c, u, a in descending order.\nAnswer: c, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -534885*b - 3. Let z(k) = -2*k. What is h(z(g))?\nAnswer: 1069770*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 2 + 17*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6)*(9 - 0). Suppose 5*k = h*k + 84. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + f = -4*f + 21, 3*r - 3*f + 18 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 1\/(-5 - -4). Sort p, -3, -4 in decreasing order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - z + 16 + 12, 12 = 3*p - z. Suppose p*u = -25 + 510. Are 98 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-56 - (-6 + -22)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63843 is divided by 21277?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1249516 and 3256?\nAnswer: 1017106024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97433974 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1201*r + 1189*r + 24 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**5 - r**3 + r**2 + r. Let q(d) = -5*d**5 - 6*d**4 - 3*d**3 - 5*d**2 - 3*d. Let a(f) = q(f) + 3*w(f). Find g, given that a(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 32*g + 23*g + 22, 6*g - 12 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -97\/9. Let i = -52 - -52.2. Which is the nearest to i? (a) x (b) 5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 3 - (-63)\/14)*28790\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -17 + 43 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 12959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 239*h**3 + 5*h**2 + 635*h + 7. Let g(o) = 238*o**3 + 6*o**2 + 641*o + 8. Let w(j) = 7*f(j) - 6*g(j). Find the second derivative of w(t) wrt t.\nAnswer: 1470*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 779, 1822, 2865, 3908, 4951?\n\"Answer: 1043*m - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112\/(-490)*(-2)\/8. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5999971 - -2.6. Round q to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1971465, 1971450, 1971435, 1971420?\n\"Answer: -15*l + 1971480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 30 = -6. Let y(m) = -m**3 + 2*m**2 + 5*m + 2. What is the remainder when 127 is divided by y(h)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -50357486\nAnswer: -5035748.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2313832 tonnes in kilograms?\nAnswer: 231.3832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85)*3 - sqrt(85))*6)\/((sqrt(60)\/sqrt(4)*-4)\/sqrt(3)).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10578045 is divided by 25800?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 189712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 228e27 (base 16) to base 15\nAnswer: 2eaee5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3868 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1243 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552 and 81790728.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121152001 (base 6) in base 5?\nAnswer: 1042111313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2 = v. Let l be v - (1 - (3 + -2)). Suppose -l*o - 6*c + 4 = -c, 1 = o + 3*c. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f - 11*f + 13*f)*(-2*f + 3*f - 2*f)*(f**2 - 2*f**2 + 3*f**2)*(1 + 1 - 1).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2 + x - 4. Let s be a(-2). Let c = 34 - s. Calculate the remainder when 7 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**3 - 11*v. Suppose 13*h = 8*h + 55. Let t(m) = -3*m**3 - 4*m. Calculate h*t(l) - 4*z(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s - 16 = 0. Which is bigger: s or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 6*b + 5. Let i be a(-4). Let w = 23 - i. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26001 greater than -26001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)\/q)\/q**13 assuming q is positive.\nAnswer: q**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*n**3 + 13*n - 4*n**3 - 26*n**2 + 66*n - 15*n**2 + 23*n wrt n?\nAnswer: -24*n - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 7:02 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/20 - 1*3\/15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) 0 (c) 0.02 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -2\/3, 7, -4\/9, -37, 2\/3?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100111001000110010111111111 + -100?\nAnswer: 11100111001000110010111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + -72. Let z(l) = -l**3 + 17*l**2 - 18*l + 9. List the prime factors of z(u).\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31213 * -0.065\nAnswer: -2028.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-3))\/(-12))\/(3\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (375\/(-30))\/(12\/(-96)). What is the greatest common divisor of k and 4175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.8 less than -3.019?\nAnswer: -292.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597982 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -299*d**2 - d + 0*d + 156*d**2 + 1777*d**4 + 145*d**2 + (5*d**3 - 2*d**3 - 5*d**3)*(0*d - d - 2*d).\nAnswer: 1783*d**4 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-190) - ((-1506)\/(-55) + ((-160)\/(-220))\/(-4)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 215.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -414? (a) 1\/3 (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 - 3895*t**4\/3 - 1073531*t**3\/3 - 234473*t**2\/3 + 1073522*t\/3 + 79456 = 0. Calculate t.\nAnswer: -191, -1, -2\/9, 1, 624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c + 5. Suppose c*a - 13 = 4*z, -2*z + 12 = 3*a - 5*z. Suppose -2*p = -5*p + a. 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 the value of (-846)\/564*(0 + 28\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12\/11)\/f*f**(-20)*(f*f**(-2))\/(f\/(f\/f**(-2\/23))) assuming f is positive.\nAnswer: f**(-5820\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298128*h**2 + 297782*h**2 - 595908*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(0 - (-7)\/(-4))*-2. Let d = -29 + h. Calculate the least common multiple of 35 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296479 is divided by 74118.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33228.13 + 92439680.13. Let y = o - 92406458.5000001. Let p = -6.5 - y. Round p to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(240))\/(2*sqrt(640) - sqrt(640)))\/((2*sqrt(432) - sqrt(432))*-3 + -2*(sqrt(432) - 2*sqrt(432))).\nAnswer: -5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 7:45 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 182 = 5*g + 3*o, 4*o - 109 = -3*g. Suppose -r + 3*b + 72 = -79, r - 2*b = 147. What is the remainder when r is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2. Let f(a) be the third derivative of 5*a**5\/8 - 3*a**3 - 7*a**2. Let t(r) be the first derivative of f(r). Determine l(t(d)).\nAnswer: 5625*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1030, 2004, 2906, 3700, 4350, 4820?\n\"Answer: -6*q**3 + 1016*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let x be (11\/4675)\/(42\/70). Is y at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -47*n - 509. Let h be t(-12). What is the highest common factor of h and 1925?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:07 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19302 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**15\/m)\/(m\/(m\/m**(-3\/4))))**(-2\/27) assuming m is positive.\nAnswer: m**(-59\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408021 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 4*a**2 + 4. Let o be n(-4). Suppose -o*j + 8 = -2*j. Suppose -203 = -4*q + s, -j*q - s = -3*s - 198. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 262?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -12 + 8\/3*l**3 + 6*l + 1\/4*l**4 + 0*l**2. Determine o(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 30*k**2 - 714*k - 18755. Give s(-27).\nAnswer: 2710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.994226 millimeters?\nAnswer: 0.005994226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4374 + -52619\/12. What is the common denominator of -41\/4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13316101, -0.3, 4\/5 in increasing order.\nAnswer: -0.3, 4\/5, 13316101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/174*3*(-93)\/((-19995)\/172)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/5)*j\/(j*j\/(j*j\/((j**(-3)*j*j)\/j)))*j*(j**3\/j)\/j**(1\/4)*((j\/(j**(-2\/5)\/j))**(-46))**(2\/39) assuming j is positive.\nAnswer: j**(-133\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43834 to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4. Let o(j) = 3. Let q(n) = 5*m(n) + 6*o(n). Let l(y) = y + 1. Determine 3*l(b) + q(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-3 + sqrt(128) + 1)**2 + (4*(sqrt(54) + sqrt(6) - sqrt(6)))\/((sqrt(21) + sqrt(336))\/sqrt(7)).\nAnswer: -468*sqrt(2)\/5 + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**8\/10080 + b**7\/840 + b**6\/180 - 101*b**5\/60 - 3*b**2 - 2*b. Let g(n) be the third derivative of o(n). Calculate g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15391712 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 6*a - 15*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -23.3. What is the smallest value in a, 7, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/805248 and 39\/44.\nAnswer: 8857728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -690 in -0.4, 10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -358137962613 + 358136227871.00191. Let y = 1734803 + u. Let l = y - 61. Round l to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(12\/(-9) - -1) - -1. Let b be (-24)\/(-14) - 2*u\/14. Which is bigger: b or 18\/7?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.16 + 22.49. Let p = v + -11.97. Let f = -3 - -1. Which is the biggest value? (a) p (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40132 is divided by 277.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201*o**4 - 2*o**3*q**3 - 3*o*q**2 - 44*q**3 - 1 wrt o?\nAnswer: 2412*o**2 - 12*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - -186. Let t = y - 300. Is t at least -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2578321011368 - -24.\nAnswer: 2578321011392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10974805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-170) - (-48)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(80) - sqrt(5))**2 + (sqrt(80) + sqrt(80)*-3*2 - sqrt(80))**2.\nAnswer: 3370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 330814117?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.87 <= 267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*s = 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 4*z + 5. Let w be d(4). Factor 0*p**2 + p**2 + p**w - p**4 + p - p - p**3.\nAnswer: p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 196503?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = -3. Let d(t) = 57*t + 5 - 52*t - 2*t. Calculate d(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228695645 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 29 = 5*q - 9, 5*n + 4*q + 21 = 0. Suppose -t - 12 = -4*l - 5, 5*t - 10 = 5*l. Sort n, 4, l in descending order.\nAnswer: 4, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 6*r - 4542 + 4550 = 5*x, -3*x = 5*r - 62 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Does 721 divide 736800982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 16*k**2 + 16*k - 13. Let m be p(15). Suppose -2*x + 0*x = 5*o - 1021, -497 = -x + m*o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 15433.\nAnswer: 8\/15433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 415 - 1058. Let d = -508 - z. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6893, -13768, -20643?\nAnswer: -27518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Suppose 8*k - 3*k - 20 = s. Suppose 0 = 3*n - k*c - 12612, 0*c = -5*n + c + 21003. Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22c0 - -48?\nAnswer: -2276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from gfnf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 106 - 16)*(c - 2*c - c) - 3 + 3 - c.\nAnswer: -257*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5750500 by -125.\nAnswer: 46004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654511624.\nAnswer: 2, 13, 661, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5413 - 126?\nAnswer: -5542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (15 - 38) - (4 - 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - 3*t + 1. Let y(p) = -p**2 - p. Suppose 16 - 100 = 14*m. Let x(i) = m*h(i) + 26*y(i). Factor x(w).\nAnswer: -2*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -161317000 and -1047374.\nAnswer: -162364374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600 is divided by 163.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 15 = -1. Suppose -y*u = 2*r + 32, 4*u + u - r = -104. Calculate the least common multiple of -2 - 36\/u - 805\/(-25) and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(5\/3)))*o*o*o**(2\/7)*o*((o**(-3)\/o)\/o)\/o**(5\/6))\/((o**(-2\/11)\/o*o\/(o**(-8)\/o)*o)\/((o\/o**(-1\/4))\/o**(-4\/7))) assuming o is positive.\nAnswer: o**(-3453\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4 - ((-673)\/2 + -3). Suppose -f = -3*c - 23. Let b = c + -104. Solve -11 - b = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -110. Solve 5*a + 2 = -2*v + p*v, -15 = -5*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1584) + 1 + 2 - (sqrt(1584) + (sqrt(1584) + 1 - sqrt(1584))**2*-2 + 2*sqrt(1584)*2).\nAnswer: -48*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzy when three letters picked without replacement from eryeeceeezyzzeyyr.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1247\/3948 + 31\/141. Let d = f - 1\/4. Let i = 35373 + -35369. Which is the nearest to d? (a) i (b) -2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*p - 2, o = -2*o + p + 6. Suppose -2*a = o*a. Let b = 43 - 31. Solve -4*t = -a*t - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19481123?\nAnswer: 19481123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:25 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.5, -1\/4, 112, -4, -733.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = l - 8, -5*p + 28 = 4*l - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5778\/11 at least as big as 526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3585399ml in litres?\nAnswer: 0.0003585399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:07 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 0*v**2 - 2*v**2 + v**2. Let q(l) = -l**2 - l**2 + 3*l**2. Determine i(q(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r + 6. Suppose 5*t + 51 = 2*t. Let i be -3 + (-37)\/3 + (-8)\/(-24). Let b = t - i. Let h(x) = -x + 1. Give b*c(f) + 14*h(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/1436400 and -121\/48000?\nAnswer: 57456000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 7*m + 7. Let h be f(-7). Suppose -d - 3 = -h. Let i = 311\/1162 + 3\/166. Which is the closest to -2\/9? (a) i (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + -3.82. Let i = -7.9 + 8. What is the second biggest value in p, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2301144515 + 1?\nAnswer: -2301144514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*j - 0 - 4, -4*n - 5*j + 5 = 0. Suppose -2*d = u + 3*u - 2, n = -3*u - 6. Solve -3*g = 4*r - d*g - 8, r - 2*g + 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 857354668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) + (-14)\/(-49). What is the nearest to 1 in z, -6, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91746?\nAnswer: 2, 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103593400 and 4143736?\nAnswer: 103593400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-180)*5 - (-17114)\/(-344)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46453 is divided by 178.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(-8))\/(-7)*(-94)\/(-517)*40?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 245*b + 975. Let z be c(-4). Let x(t) be the second derivative of t**3\/6 - 5*t**2\/2 - t. What is x(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 1, n: 1, a: 2, g: 2, j: 1, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, a: 1, w: 10, f: 4}. What is prob of sequence fqa?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 37 = -3*o, -3*u + 1 + 11 = 0. Let q(x) = -x**2 + 7*x - 8. Give q(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 1.3121124?\nAnswer: 13.121124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -24*s + 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8057784*z**2 + 8057781*z + 3 = 0. What is z?\nAnswer: -1\/2685928, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*x - 8225, -8*v - 4*x - 5482 = -10*v. What is v rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3029688 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574460353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 6\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 5*s - 5. Let d(t) be the first derivative of 2*t**3\/3 + 4*t**2 + 7*t - 8. Calculate 5*d(v) + 8*h(v).\nAnswer: 2*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -6, -4\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1158489205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5560 = -16*r + 2968. Suppose -20*g + 6253 - r = 0. What are the prime factors of g?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*u - 2*x - 59 = -167*u - 24, -13 = -5*u + 8*x + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)\/((-5)\/15). Suppose -t + 12 = 3*t. Let g(s) = 2 + 2 + 1 - i*s**3 - t*s + 0*s**3. Let w(b) = -5*b**3 - 5*b + 8. What is -8*g(q) + 5*w(q)?\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21628.13312 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 48902.\nAnswer: 244510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = -0*b. Let d = -2636 - -2640. What is the third derivative of 19*r**2 - 213*r**4 - 19*r**b + 213*r**d wrt r?\nAnswer: -1140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 0*j + 2 + 1\/2*j**6 + 0*j**4 + j**3 + 0*j**2 + 0*j**5. What is the third derivative of y(p) wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 12918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40\/3 in 1, 3, 3\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/7, -2347 in ascending order.\nAnswer: -2347, -3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/39 and -41\/771.\nAnswer: 10023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 6*f + 15*i + 745, -8*f + 5*f + 81 = -2*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7)\/o**0)**(-35) assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlqviii. What is prob of picking 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 711 and 9041313.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 345 in descending order.\nAnswer: 345, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7049*u**2 + 3604*u - 901. Let q(j) = -47*j**2 + 24*j - 6. Let p(s) = -6*c(s) + 901*q(s). Let n(t) = -2*t**2. Give n(p(l)).\nAnswer: -5618*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(1\/3))*q**28)\/(q**34\/q**12) assuming q is positive.\nAnswer: q**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308550305?\nAnswer: 5, 7, 1259389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbukbbbbd. Give prob of sequence bk.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p - 4924 = 7220. Let o = 533 + p. Solve -10*s + o*s = -20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {z: 2, o: 8, u: 1, x: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979767 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (278\/(-834))\/(33\/(-72)*1)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m**4 + 11*m**4 - 12*m**4 - 2*m**4 - m**4 + m**4 + (3 + 1 - 3)*(-45*m**4 - 20*m**4 + 15*m**4) to r + u*m**2 + a*m + c*m**4 + g*m**3 and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -7\/2*w**2 - 5\/4*w**4 + 6*w + 3 + 7\/3*w**3. Let g(b) = 4*b**3 - 6*b**2 + 6*b - 5. Calculate 7*g(m) + 6*l(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 4*n - 12. Let w be y(6). Let x(a) = a - 9. Calculate x(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 240 = -45*v. Calculate the highest common divisor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*t - 12 + 16 = 0, 0 = w + 4*t + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 3*l**5\/20 + l**4\/3 - 4*l**3\/3 - 2*l**2 + 15. Suppose 2*p - 11 = 5*b + 14, 0 = 2*b + 5*p + 39. Is q(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*j = -3*v + 6, 5*v = 5*j + 15. Suppose 4*u = -3*r + 15, -u = -5*r - 4*u + 25. Suppose r*x - 9 = v*x. Is x greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:55 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(1620)*4))**2.\nAnswer: 6912*sqrt(5) + 414864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71016 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9*-50791078\nAnswer: -457119702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*h + 149*h - 104 = 60*p - 57*p, -5*p = 20 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 97 = 31. What is the derivative of 322*l**2 - 322*l**2 - q - 64*l**3 wrt l?\nAnswer: -192*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 != -245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 485, -7, 5, -2\/11, -2 in descending order.\nAnswer: 485, 5, -0.1, -2\/11, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 7*c + 12. Determine l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -399, -1013, 6.\nAnswer: -1013, -399, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/16*(-7)\/(98\/12).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25974481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11236 times -142\nAnswer: -1595512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2187*c**4 - c - 643.\nAnswer: -26244*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joou. Give prob of sequence uo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7321*r - 21953. Calculate z(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3460.12758 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 83. Let x(r) = 3*r**3 - 4*r**2 + 2*r + 4. Calculate the remainder when x(y) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 1719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/9 - 67492*f**2\/9 + 195426998*f\/3 - 31416853504 = 0.\nAnswer: 512, 16617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 797526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 6 - (5 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u\/(u**(-2)*u))\/(u**(1\/8)\/(u**(-1\/10)\/u)) assuming u is positive.\nAnswer: u**(151\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 30*d - 36. Let u be j(2). Let o be (-72)\/(-96)*1\/(-3). Which is the closest to 1\/4? (a) 5 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.06 (b) -5 (c) 2\/61 (d) -3244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*o + 351*o - 98046 + 22938 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -27, -83, -157, -255, -383?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6 - (4 - (3 + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 11.2. Let p = -6 - -5.6. Which is the closest to v? (a) p (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**3 - 30*r**2 + 594*r - 74. Give y(8).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(1\/3))*j)\/j)**(-49)\/(j**(-6)*j**0) assuming j is positive.\nAnswer: j**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 23\/4 (b) -1\/3 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.101 and 5.\nAnswer: -0.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/2)\/(((-3234)\/28)\/(-77))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 22*l - 57. Let u(w) = -15. Let z(v) = -h(v) + 4*u(v). Calculate z(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*i = 14, -3*t - 1 = 4*i - 3*i. Let g be -11 + 3\/t - 1. Is 17 a factor of (153\/g)\/((-6)\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9\/5)\/(r\/r**(-15))*r**(-3\/22)\/(r\/(((r**(5\/4)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-4551\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.33 - 37.4. Let w = i - -0.07. Let j be (-3)\/7*(-28)\/32. Which is the nearest to -3\/5? (a) j (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102120122100 + 11?\nAnswer: 102120122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 13*j + 10. Calculate the remainder when 17 is divided by y(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.091, -0.01, -0.5?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtjirottjiootbrjjji. What is prob of picking 1 j, 1 o, and 1 i?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -149. Let i = 25 + q. Let x = -88.5 + i. Round x to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*(-1475 - -1472).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 1. Let s(n) = -1. Let o(l) = -4*d(l) - 3*s(l). Let f be o(1). Let h(v) = 2*v**f - 3*v**3 - v + 0 - 1. Calculate h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201884 and 56170.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 13*g - 23. Let x be q(10). Let n be 3\/x + (-234)\/(-91). Let z = 97 + n. 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: Is -18646 at most as big as -2964841\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.05 - 0.05. Which is the third biggest value? (a) f (b) -2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:54 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/6 and 121\/33370932.\nAnswer: 33370932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*n + 172 = 0, 129 = 3*o + 71*n - 68*n. Solve o*g - 38*g = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 times -0.0311658?\nAnswer: -13.1519676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*v - 88*v + 53*v**3 - 81*v - 56*v**3 - 72*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1976192 - 53341655\/27. Let w = -575 + d. Does 1 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8816387519 + -18\nAnswer: -8816387537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - s**2 - 2*s**2)*(-2765 + 2765 - 248*s)*(-s - 4 + 4).\nAnswer: 248*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*u + 94*u - 81*u = 81*u + 6345 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (125\/(-10) + 16)*8\/14. Sort 1, r, 67 in descending order.\nAnswer: 67, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 - (0 - 4). Suppose -2*j - j + 3*y + 69 = 0, 0 = 2*j + t*y - 46. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354 + 31?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-18) + (-8)\/(-24). Solve -v*k - 16 - 1 = x, -4 = k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3039 - -5854. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -440.74 and 8897.\nAnswer: -3921263.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmumuduum. What is prob of picking 3 m?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxcckkxcgrdcx. What is prob of picking 1 k, 1 c, and 1 r?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-22 + 12 + 24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 25 = -2*w. Let v(y) = -2*y - 3. Let s be v(-3). Suppose s*h = w*n + h, -20 = -2*n - 2*h. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l + 150. Let v = 32 + l. Let o = 8 - 12. Sort o, -1, v.\nAnswer: o, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1257*j + 6930 - 23271 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -873, -1678, -2471, -3246, -3997?\n\"Answer: c**3 - 812*c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 34*g. Let i(b) be the first derivative of b**4\/12 - 3*b**2\/2 + 20. Let f(w) be the second derivative of i(w). Determine o(f(y)).\nAnswer: 68*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464131 = 82*n + 31*n - 2951683. What are the prime factors of n?\nAnswer: 2, 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148326 and 48?\nAnswer: 1186608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 10021?\nAnswer: 10025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -48. Let n(o) = -2*o + 9. Let l be n(7). Let f(m) = -7*m - 5. Calculate the remainder when f(l) is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*o + 8 = 0, g + 5*o = 5*g + 2. Suppose 4*b + 2 = -2*w, 0*b + w + 3 = -b. Suppose 0 = g*x - b*c - 4, 3*c + 4 = 2*x - 2. Solve -2 = j - x*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26157 + 6653 = -5*s. What is the units digit of (s\/(-34))\/((-2 + 1)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -262 + 259. Which is the second smallest value? (a) d (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2 + 2)*(1 - 1 + 4*q**3)*(-24*q + 2*q + 4*q).\nAnswer: -72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -889823037*b**4 + 1217795460*b.\nAnswer: -10677876444*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 10*b**2 + 13*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55c4 (base 16) to base 15.\nAnswer: 678b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/(-14)*1 + 24\/(-84). Let t be (-3)\/(6\/h) + (-18)\/(-6). Find the first derivative of -4*b**4 - t - 1 - 13*b**4 wrt b.\nAnswer: -68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.49 - 0.01. Let z = 2065.017 - 2064. Let r = z - 0.017. Which is the third biggest value? (a) 0.3 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1938 and -13\/18.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -141. Sort w, 1, 5, 16 in descending order.\nAnswer: w, 16, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 4*r - 12*r + 6*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -9 - 34) + 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0824 - 0.0524. Put 20, y, 1\/8 in descending order.\nAnswer: 20, 1\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357208*g**3 + 357204*g**3 - 714450*g**3.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1510 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = -245 + 373 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 2*w + 2. Let k be g(-3). Let p = 0.3 + -0.4. Let d = p + 0.3. Which is the closest to k? (a) 3 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 97 = 11. Let o(u) = -276*u - 2430. Calculate the smallest common multiple of o(-9) and l.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/17*-17 + -6. Which is the smallest value? (a) l (b) -10.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31466 - 24451. What are the prime factors of f?\nAnswer: 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*w - 18, 3*w + 97 = -x + 6*x. What is the remainder when ((-474)\/(-12))\/((-2)\/(-4)) is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.3. Let x = 90 + -50. Let q be ((-3)\/(-4))\/((-195)\/x). What is the closest to r in 0, 1\/3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58471888 is divided by 3654493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -319993143*r - 3913870.\nAnswer: -319993143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/630*9430\/23\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b53bbc + 4?\nAnswer: -b53bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2*f + 20. Let y be o(-3). Solve -11 = -y*h - 21 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2 + 4)*-2. Let g be (10 + -2)\/j + 7. Calculate the greatest common divisor of g and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**2 - 2*v**2 - 5*v**2 + (0*v + 4*v - 2*v)*(-2*v - 2 + 2) + 0*v + 0*v - v**2)*(-6*v + 2*v + 2*v) in the form a*v**2 + o*v**3 + d + n*v and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/14 and (-755)\/(-1278)*(-3360)\/(-11200).\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 10352?\nAnswer: -10335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 13 = 2*j - 0*j, 4*j + 5*i = -7. Solve -j*g - 11 = -n, -5*n + 35 = -g - 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1588*o - 1542*o - 460 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 40943596.3.\nAnswer: 40943600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 0*d + 4, -11*d + 180 = l + 154 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b (base 14) in base 11?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:48 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4 - 2395*c**2 + 2393*c**2 - 3*c + c. Let d(v) = 3*v**2 + 3*v + 5. What is 4*d(h) + 5*s(h)?\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1674799.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.9 (b) 60.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 264013983 * -0.5.\nAnswer: -132006991.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -93*z + 86 + 433 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 7344*l - 3904549. What is q(577)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1089)\/(-1815)*(-3 - (-72)\/12 - (-82)\/(-29)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -380*a**4 - 2*a**3 - 2*a**2 - 40*a + 72 wrt a?\nAnswer: -4560*a**2 - 12*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*r - 187 - 10 = 41*r, 7 = -a - 3*r - 2*r for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, x: 4, o: 8, w: 2}. Give prob of sequence io.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2263 * -7\nAnswer: -1.5841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/15 and 37\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 80 = 2*z - 4*z, -100 = -3*j - z. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453852 is divided by 25214.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 99\/(3 - 0) - 1. What is the remainder when o + 0 + -2 + 1 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/2*16\/(-12). Let t = -741 - -821. What is the highest common factor of t and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 23250494629*w + 23250494629*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19383 is divided by 3875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tjtttttt?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 910 + -5?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-75) + (-1 - (-21043)\/(-20205)). Let r = 4\/1347 - o. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17829*v**2 - 113008 + 113008 as t*v + g*v**2 + s and give g.\nAnswer: -17829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 39. Let x = s + -47. Let n(j) = j**3 - 7*j**2 + 7*j + 4. Let g be n(6). Calculate the highest common factor of g and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 + (160\/56 - 3)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 5*s - 2*s + 1 - 1 + s + (-2 + 1 + 2)*(0 + s + 0) + s - s + 2*s - 3*s + s + 1 + 1 - 9829*s + 24293*s + 11189*s.\nAnswer: 25657*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**22\/(u*u**(-22)*u))\/(u**(-3\/7))**16 assuming u is positive.\nAnswer: u**(342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 34*s**2 + 1. Let o be w(2). Let m = o + -98. What is the units digit of (m\/(-15))\/((-4)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 5. Let o be (-4)\/p + 7\/(-1). Let q(t) = 2*t**2 + 5*t - 6. Is q(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 5421\/15)\/((-3)\/(-90)). What is z rounded to the nearest one hundred?\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75628.\nAnswer: 2, 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u - 3357 = -501 + 134 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -16. Which is smaller: 1\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56544 from -0.518196.\nAnswer: 56543.481804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30113\/285 - -529\/5. Let r = v + 58\/399. Let n = 0.4 - 0.2. What is the nearest to r in -0.2, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2157 divide 66548820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-1404)*(80\/32)\/(35\/21)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbrbbrbf. Give prob of sequence br.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**5 - 334940*u**4 - 3*u**3 - u**2 - 182194*u + 1?\nAnswer: 120*u**2 - 8038560*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 235 = 0. Let i = -111 + 167. Suppose 0 = 9*q + i - 164. What is the remainder when z is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 - -281. Put -5, f, -7 in ascending order.\nAnswer: -7, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2413 - 2421. Let f = -6 + 5.95. Let c = -2.95 + f. Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 - -372549520.\nAnswer: 372550080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 4*f - 5*f**3 - 4*f**4 + 5*f**3 + 10*f to d*f**4 + b*f + y*f**3 + c*f**2 + i and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3 (c) 10 (d) 0 (e) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1859000 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**3 + 2045*c**2 - 208085*c + 25. Let a(m) = -5*m**3 + 2046*m**2 - 208086*m + 30. Let f(o) = 5*a(o) - 6*j(o). What is k in f(k) = 0?\nAnswer: 0, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -172\/5 - -34. Which is the closest to -0.1? (a) -1\/7 (b) 2\/17 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87119001*c**5 - 45*c**2 + 818*c + 39.\nAnswer: -5227140060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -13. Suppose -4*l = -u - 6. Let n = 1569 - 1567. Solve 5*q + 25 = -l*d, -n*d - 10 = 3*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463768976?\nAnswer: 2, 11, 17, 155003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67879 or -67805?\nAnswer: -67805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/501447 or -1?\nAnswer: 5\/501447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**5 + 100*n**4 + 1268*n**3 + 4476*n**2 + 5040*n = 0.\nAnswer: -4, -3, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 - 660*n**2 + 2*n - 230. Give w(132).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:55 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19*v - 53. Let i(f) = -19*f - 53. Let h(d) = -3*i(d) + 2*s(d). Calculate the remainder when h(4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(((2*sqrt(90))\/sqrt(9) - (sqrt(10) - (sqrt(90)*-2)\/sqrt(9)))\/(((sqrt(240)\/sqrt(4))\/sqrt(6))\/sqrt(5)) + 3)**2.\nAnswer: -45 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9) + (1244 + -4)*(-19)\/228?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - x + 275 + 266, -2*x + 2 = 0. What is the remainder when s is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 l when four letters picked without replacement from nlrnrrlrrrlrkrrrln.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 964 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117 + 91. Suppose 4*q - 182 = -3*q. Calculate the highest common factor of l and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1618.60726 and 5?\nAnswer: -8093.0363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1356*u. Let q(c) be the third derivative of c**4\/24 + 5839*c**2. Give r(q(f)).\nAnswer: 1356*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*16712.\nAnswer: 16712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 + 2 = 0. Let p be j\/(-4)*4\/1. Let l = -3 - p. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -12*v - 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00088773 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2 + 8*n - 2. Let i be u(-6). Let p = 11 + i. What is p rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(1\/5))*l)**(20\/13)\/((l*l**(-9))\/l**(-1\/5)))**(-3))**(-9) assuming l is positive.\nAnswer: l**(15849\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)\/(x*x**(-25)*x)*(x*x**(-27))\/x*x\/(x\/x**(1\/20)))**(-1\/5) assuming x is positive.\nAnswer: x**(239\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 4, e: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 20 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3879.68 rounded to the nearest ten?\nAnswer: -3880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*2*sqrt(91)*-5)\/(sqrt(1575) - -2*sqrt(7)*6)*-4.\nAnswer: 2 + 160*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*l + 108 + 142, -w - 128 = -2*l. Suppose 5*s = 18 + 147. Suppose -l = -3*u + s. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*((sqrt(304) - 4*sqrt(304)*-2) + sqrt(304)))**2.\nAnswer: 7782400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*y + 230 - 729 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 79\/11 - (-14)\/(-77). Suppose 3*m = 4*m + 5*r - f, -m = 4*r - 2. Does -17 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68394854 divided by -8074\nAnswer: 8471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oom when three letters picked without replacement from mmmmmomom?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5105350, -10210695, -15316040?\nAnswer: -20421385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3) + -5 + 2. Put x, 5, -5 in decreasing order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 465804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 2*c**2 - 3*c. Suppose 3283 - 937 = -17*y. Let r = -141 - y. Calculate p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13438 or -13439?\nAnswer: -13438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5515*n**3 - 679*n**2 - 36966*n + 68.\nAnswer: -33090*n - 1358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -0.1021?\nAnswer: -12.8979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224622 is divided by 74610.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -304.\nAnswer: -5\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*f + 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u**2)**3\/((u*u**(-6))\/u*u\/(u**6*u))**15 assuming u is positive.\nAnswer: u**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -1\/3*s**3 + 1\/2*s**2 + 0 + 1\/24*s**4 - 4*s. Let g(i) be the first derivative of y(i). Give g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2. Let m(c) be the first derivative of c**3\/3 + 1. What is f(m(h))?\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294.99191 + -10.56.\nAnswer: 284.43191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 5 + (-6)\/6. What is the units digit of (0 + u\/9)*27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + g - 1 + 2, -5*g = -4*b + 5. Solve 2*s - 7*m + 2*m - 18 = b, m + 10 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 0.02 (c) 3\/28 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*j + 311*j - 28308 = 0. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p + 271 - 461. Solve 2*i + 5*g = 4*i + p, -22 = i - 5*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 0 = -8*v. Suppose -v = b - 9. What is the first derivative of 3*p**2 - 3*p**2 + 3 - 3*p**b + 10*p**4 wrt p?\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1021 - -621?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 3*b - f - 87, -5*b + f = -173. Suppose 31*r - b*r + 2247 = 0. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 4. Suppose w = -5*z + t, 5*z + 2 = -2*w + 12. Suppose z*m - 3*m = -9. Solve 0 = -g + 4 - m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -8*o + 16*o - 2 + 2 - 6, 4*h + 2*o + 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22735653 - 578974. Let w = l - -34621834. Let p = 4807207 - w. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327125647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 700 and 655060?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 838 + -835. Let n(w) = w**3 - w**2 + w - 2. Determine n(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-24)\/(-156) + 50\/13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(119) + -2*sqrt(119)*2)\/(sqrt(1008) - (sqrt(1008) + (sqrt(1008) - (-1*sqrt(1008)*5 + sqrt(1008))) + sqrt(1008))).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (792\/(-176))\/(((-3)\/((-60)\/28))\/((-18)\/45))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0866 + -31.9134. Which is smaller: s or -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 + 10*p - 15. Let c(o) = 10*o**2 + 31*o - 45. Let t(b) = -2*c(b) + 7*i(b). Let u be t(-10). Solve -6*l + u = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -5251250514?\nAnswer: -5251250522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 7*z - 0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/707 or -1?\nAnswer: -6\/707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8 - (3 + (-17 - -10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 8*t**3 - 7042*t**2 + 22808*t - 5262 = 0.\nAnswer: 1\/4, 3, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8156202366 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1673 - -1362. Which is the smallest value? (a) 0.4 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/28)\/(14\/28). Let i = -0.01 + 0.01. Which is the closest to n? (a) i (b) 12 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u - 212. What is the remainder when 284 is divided by f(27)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198446697.\nAnswer: 3, 19, 67, 17321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10331 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167203 + 3?\nAnswer: -167200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/22, 2, -4?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, d: 3, l: 2, y: 2, k: 4}. What is prob of sequence ldz?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74861, 149717, 224573?\n\"Answer: 74856*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 28952, 92?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/(-21) - 1\/3. Let v(q) be the first derivative of 4*q**5 + 0 - 2 + 5 - q**u - 4*q**2. What is the second derivative of v(p) wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -29. Suppose -r + 4*y = -4*r - 107, 3*y = -2*r - g. Let i = 84 + r. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 - 7*h**3 + 69*h**2 - 4291*h wrt h?\nAnswer: -24*h**2 - 42*h + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 465319*h**2 + 930637*h**2 - 465317*h**2.\nAnswer: h**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2. Let c(o) = -33*o + 116. Determine c(z(r)).\nAnswer: -132*r**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11465 + 11465. What is the biggest value in 3\/7, m, -3059?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 138*r**5 + 12*r**4 - 6*r**2 + 386*r. Let i(k) = -k**5 - 2*k**4 + k**2 + 4*k. Let p(h) = a(h) + 6*i(h). Find the second derivative of p(b) wrt b.\nAnswer: 2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 18*t - 4. Let v(q) be the first derivative of -2*q**3\/3 + 2*q**2 + 912. Calculate d(v(h)).\nAnswer: -36*h**2 + 72*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**4\/4 - b**3\/3 - b**2 - 410. Factor h(d).\nAnswer: d*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-42)\/(-9)*393 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(44)*3*-1)\/(sqrt(20)\/(sqrt(30)\/sqrt(6))) - (4 + sqrt(1100) + 1 + sqrt(1100) + -2 + 0 + sqrt(1100)))**2.\nAnswer: 198*sqrt(11) + 11986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43760, -43810, -43894, -44012?\nAnswer: -44164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14143 + 15438?\nAnswer: 30582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3328))**2 + (-1*sqrt(468))**2.\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:57 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/(-3) - 1)\/(-2). Suppose 4*c + 5*n = 3*c - 10, -5*c + 4*n + 8 = 0. Suppose c*l - 12 = -3*l. Which is greater: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1942380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 0*r**2 + 2*r**2 + 4*r**2 + r**2. Let u(h) = 6*h**2. Calculate u(j(z)).\nAnswer: 294*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*f**4 - 2200*f**3 - 6056*f**2 - 4800*f - 1152 = 0. What is f?\nAnswer: -4, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)\/sqrt(4)*6 - sqrt(39))*5)\/(4*2*sqrt(75)))**2.\nAnswer: 325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.165496 tonnes to milligrams.\nAnswer: 6165496000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**6\/120 - x**4\/24 - x**3\/6 + 16*x**2. Let s(i) = -i**3 + 5*i**2 + 2*i + 2. Calculate s(d) + 2*w(d).\nAnswer: d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (109\/((-4905)\/20))\/(5\/(-855))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6970 at least as big as -1665807\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r. Let p(o) = -10*o**2 - 622*o + 507. Let t be p(-63). Factor 0*v**2 - 2\/11*v**t - 4\/11*v**4 + 0*v - 2\/11*v**5 + r.\nAnswer: -2*v**3*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/6 - t. Let m(q) = -2*q**2 - 1. Let p(u) = u**2 + 1. Let l(x) = 3*m(x) + 3*p(x). Calculate l(g(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1053462375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -15 (c) 2\/37 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 716 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-150 - 340 + 661)*(4*r + r - 3*r) + 0*r + r + r)*(0 + 4 - 3).\nAnswer: 344*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2000 = x, -5 = -2*c - 9. Suppose 23 = -4*w + 71. Suppose -w*j = -j - x. What are the prime factors of j?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029816?\nAnswer: 2, 19, 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 20*k**3 - 4*k + 21*k**3 - 10)*(4*k + 3*k - 5*k).\nAnswer: 2*k**4 - 4*k**2 - 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3353 + -2127. List the prime factors of a.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 404, 394, 358, 284, 160, -26, -286?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1005 (base 6) to base 9\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76108931 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22 + -6)\/2 + -5. Suppose 13*w - 12*w - h = 0. Solve w*j - 1 = -2*a + 6, -j - a = -1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnuptkpvttv. Give prob of picking 2 t and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -395.5 times -30.935?\nAnswer: 12234.7925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32878400 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*j + 1 - 0, 0 = -m - j + 4. Let h(u) = -u**3 + 4*u**2 + 2*u - 7. Let z be h(m). What is the smallest common multiple of 8 and (-8)\/32 - (-42)\/z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + -2)) + 0 - (sqrt(180)*-2 + 2))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 14. Let v be p(-11). Solve -3*b + v = -5*u + 7, -3*b - 3 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3614 - -10736\/3. Let x = 36 + f. Let z be 2 + ((-66)\/10)\/3. Which is the nearest to x? (a) 1\/4 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*o**5 - 11*o**2 + o wrt o?\nAnswer: 1440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4613*n**4 + 44*n**3 + 974591*n?\nAnswer: -55356*n**2 + 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -0*g + 2*q - 2, -3*q + 8 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -59772 divided by -936\nAnswer: 4981\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/(-14)*(3 + -1). What is the third derivative of -6*z**5 + 2*z**2 + p*z**5 - z**5 wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3926*o - 3930*o - 21 = -5*p, 3*o - 23 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2.1, 2\/3, -145, 0.3 in increasing order.\nAnswer: -145, 0.3, 2\/3, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + -1 + (-4875)\/(-675). Let q be 2\/4*(0 + -1). What is the closest to q in 2, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030003 to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -140*h**3 + 54*h**2 - 34*h - 1. Let j(c) = 35*c**3 - 12*c**2 + 8*c. What is -2*b(g) - 9*j(g)?\nAnswer: -35*g**3 - 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 71033145 and -5561669.\nAnswer: 65471476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -189, -412, -637, -864, -1093, -1324, -1557?\n\"Answer: -a**2 - 220*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67.9 + -68. Which is the nearest to -1? (a) 2.4 (b) -3 (c) -1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/981 and 39\/5014.\nAnswer: 45126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/105)\/(21\/(-10)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2. Let x(g) = -11*g**2 + 19*g + 8. Let n(a) = 21*a**2 - 33*a - 14. Let b(p) = -4*n(p) - 7*x(p). Determine -3*b(v) - 5*l(v).\nAnswer: v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x - 6. Let d(o) = 2*o + 7. Let h(y) = 3*y + 11. Let z(f) = 8*d(f) - 5*h(f). Calculate p(v) + 6*z(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 7:30 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + -86. Let y = 123.11 + c. Let l = -1.1 + 0.6. What is the third biggest value in l, y, 0.3, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by 42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(4\/48*-2). Let p = 10 + -1. Suppose 3*a + p = 21. What is the highest common divisor of y and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 514028817 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 283055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*(t*(t*t*((t**(-28)\/t)\/t)\/t*t*t)\/t)\/t*t))*(t\/t**26)\/t)\/(t**(-6))**(-24) assuming t is positive.\nAnswer: t**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34744208?\nAnswer: 2, 571, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + -3 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1330767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/(162\/227448) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9239828 months in years?\nAnswer: 0.1603319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*u - 38 + 6, 2*j = 2*u + 8. Let z(t) = -t**2 + t. Let a(l) be the first derivative of 5*l**3\/3 - 3*l**2\/2 + 5. Determine u*z(d) - a(d).\nAnswer: d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139184?\nAnswer: 2, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.64 - -4.01. Put -5, 0.3, w in increasing order.\nAnswer: -5, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 27*n + 9. Let g be a(0). Let f(k) = -5*k**2 - 13*k + 5. Let q(l) = -l**2 - l - 2*l + 1 + 0*l. Determine g*q(j) - 2*f(j).\nAnswer: j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11251 rounded to the nearest one hundred?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 6. Let k(a) = 10*a**3 - 10*a**2 + 10. Let t(v) = 1 - 3 - 47*v**2 - v**3 + 49*v**2 + 0 - v**3. Determine l*k(b) + 14*t(b).\nAnswer: 2*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-15))\/((24\/(-2))\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14807 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1390*z**6 + 167*z**2 - 4*z wrt z.\nAnswer: -166800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Suppose -4*t = b + 12, -p*b + 5*t = 3*t - 6. Let o(a) = 13*a - 50. Let n be o(4). Solve b = n*l - 0*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -146. Let o be (-10)\/12 - u\/(-120). Which is the nearest to -0.3? (a) 5 (b) -4 (c) o (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 0, 12 = 2*y + 2*t - 3*t. Suppose -k + 2*w = -8, 3*w + 9 - 23 = -5*k. Calculate the least common multiple of y and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 4:20 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-9 - (-3 - 10))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 1. Let u = -44\/29 + 954\/667. Let y = -1 + 0.7. Which is the biggest value? (a) u (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-30)*4*-51. What is the first derivative of 198 + 19 - x + 266*w + 77 wrt w?\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -412.9 - -270.9. Let a = 950.8 + -809. Let t = z + a. What is the biggest value in t, -0.5, 4\/5, -0.09?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 4:05 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-54)*-3*(1848\/(-70))\/(-22).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1843 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/3935 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1011010110111011101?\nAnswer: -1011010110111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**3 + i**2 + 15*i - 7. Let v be b(-6). Let f(t) = v*t - 803*t - t**2. Let j(a) = -41*a. What is f(j(c))?\nAnswer: -1681*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 16*g**2 + 19*g - 17. Let x be t(-17). Let u = x - -57. Calculate the least common multiple of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 6. Calculate r(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t - 235*t = 143*t + 133*t + 65823 for t.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + 8*s**2 + 7*s - 6. Determine x(4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 90.249639?\nAnswer: 90.249639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -79*c**2 + 7*c - 13. Let t(b) = 156*b**2 - 12*b + 24. Determine 7*j(d) + 4*t(d).\nAnswer: 71*d**2 + d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 416*w - 421*w + 5900. List the prime factors of w.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*t**4 - 1 + (-4 + 3 + 2)*(0 + 0 + 2*t**4).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*n + 17 = -4*n, -4*n = -2*y + 18. Let r = 8 - 8. Sort r, y, 6 in decreasing order.\nAnswer: 6, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o**5 + 11*o**2 - 11*o**2 + (0*o + 0*o + 2*o**2)*(-5*o**3 + 4*o**3 + 3*o**3).\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11166.702831 rounded to zero dps?\nAnswer: 11167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 113322034 (base 5) to base 3\nAnswer: 222202020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 88 = -2*f, w = 2*w + f - 85. Let q = 173 - w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 3*o**2 + 5*o**2)*(3 + 2 - 3)*(6*o + 11*o - 6*o).\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-15) - 166\/(-498). What is the fifth smallest value in q, -2, -2\/15, -0.9, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbsqbqbqbsshbbhb. What is prob of picking 1 q and 1 s?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*i - i. Suppose r - 14 = -i*g, -g = 2*r + g - 28. Let k = 39 - 17. What is the smallest common multiple of r and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3076 = 228*k + 643 - 71 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9506797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayoffoyfto. Give prob of sequence ya.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 3*z + 2*z. Let f(h) = -h**2. Determine -4*f(n) + s(n).\nAnswer: 4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006561 rounded to 5 dps?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from cfccewcxxeefecefccc.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-1 - sqrt(68))**2 + -6*(sqrt(17) + -2))*-5.\nAnswer: -1420 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2518890 take away -10460?\nAnswer: -2508430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/4 + 2679*t - 10715\/4 = 0. What is t?\nAnswer: 1, 10715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + (-930)\/75 + (6\/15 - -2). Solve -3*s + 0 + 3\/2*s**k = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.03\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 57 = 22 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 5*q + 16, 2*q = 3*a - 113. Let u = a - 13. Let p = -1 - -11. What is the remainder when u is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 + 7 + -6 + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 64*t + 496. What is the remainder when g(37) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 17*s + 477624 = 52*s. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*k - 22 + 622. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 7) to base 5.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3242, 8616, 17576, 30122?\nAnswer: 46254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 + o**2 + 2*o - 271. Let j(l) = -13*l**3 - 4*l**2 - 9*l + 1086. Let i(z) = 2*j(z) + 9*q(z). What is the first derivative of i(t) wrt t?\nAnswer: 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -11. What is the highest common divisor of 432 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k = 4*m - 52, -2*k - 3*m = -55. What is the remainder when 11 is divided by 2\/(-4)*k\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43978.\nAnswer: 2, 11, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 36. Solve -5*y - 7 = u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63868874 is divided by 255?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476*h**2 + 78*h wrt h.\nAnswer: -952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/80 and 101\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2658877, 5317761, 7976645, 10635529, 13294413?\n\"Answer: 2658884*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1980)\/40*14\/(-1). Let j = w + -469. Let q = -114 + j. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -228, -498, -814, -1176, -1584, -2038?\n\"Answer: -23*f**2 - 201*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208.4705 - 227.46956. Let f = 19 + s. Round f to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 4*h + 4. Suppose 6*c - 248 = -8. Suppose 0*a - c = -h*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 199, -4, 2 in ascending order.\nAnswer: -4, 2, 4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**3 + 57*g**2 - 426*g + 600 = 0.\nAnswer: -25, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4, m - 5*h = 3*m + 2. Suppose m*u - 94 = 142. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -504, 1, 5 in descending order.\nAnswer: 5, 1, -13, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2\/5, -2.24, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 51. Let o(n) = -3 + 0 + n**p - 7*n + 5 + 4*n. What is o(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:03 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78487.91 + -77692. Round n to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 11*j + 5. Let f be i(10). Solve -z - 5*u = -6*z + 35, -3*z + f = -u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -23 (b) 6 (c) 1.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - -44. Let k = b + -41. Suppose 0 = -5*h + 75 + k. Calculate the least common multiple of 16 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 a when four letters picked without replacement from aaaaaaagaagg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + b**3 - b**2 + b**2 - b**3 + (-b + b + 2*b**2)*(34*b - 81*b - 41*b).\nAnswer: -176*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859639.2 weeks to microseconds.\nAnswer: 519909788160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 306237577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)*d)\/d*d*d\/(d*d**13) assuming d is positive.\nAnswer: d**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3 (c) -1\/2 (d) -8 (e) -3.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8028 - -17257. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.0722 from 4.843013.\nAnswer: -8.229187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 852\/8 + (-1)\/2. Suppose -g = 4*v + 4*g - 209, n = 2*v + 4*g. What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/23)*v*((v*(v*v\/(v\/(v**(1\/2)\/v))*v*v)\/v*v)\/v)\/v)\/(v**(-6))**18 assuming v is positive.\nAnswer: v**(5087\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703961.1ng to milligrams.\nAnswer: 0.7039611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 12:39 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19025 + -0.19. Round x to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1270 = -0*p + 2*g, -4*p - 5*g + 2544 = 0. Suppose -p = -j + 2*j. Let d = -300 - j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014513 rounded to 6 dps?\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:40 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*l - 2*n - 5, -l - 3*n + 13 = 0. Let w(v) = 4*v + 0*v - v - 4. Let i be w(l). Solve -5*o = -3*c - i, 4*o = 2*c - 3*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i - 22*i + 17*i - 29*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-15))\/(2\/(-5)*109\/109). Solve 231 = -t*u - b + 242, 4*u - 4*b = -12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1233 (b) -0.4 (c) 2\/19 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171) - -1*sqrt(171)) - sqrt(171) - -2*2*sqrt(171))\/((sqrt(90) + (sqrt(90) - sqrt(90)*2*4))\/sqrt(10))*5*6.\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4\/(-11) + 16 + 71448\/(-4862))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2) + 31 + -25?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l - 75. Let z = -16308 - -16310. Calculate the lowest common multiple of z and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j - 27*j = 3310. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 21 = -m + 3*x, 3*m - 3*x - 33 = 0. Let q = m + -5. Let f(n) = 3*n - 7. Let l(t) = 4*t - 10. Let y(p) = -7*f(p) + 5*l(p). What is y(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vska when four letters picked without replacement from vafaakas?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 7. Let w be l(0). Solve 0 = -2*q + w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7036778 is divided by 1869.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*v - 98*v - 184*v + 29533 = -21167 for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f**2 + 132015*f + 673380 = 0.\nAnswer: -1548, -87\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 203, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -19. Suppose -z*m + 9*m = -o - 2, 3*o - 3*m = 6. What is v in -1\/2*v**3 + 1\/4*v**4 + 0*v + 0 + 1\/4*v**5 + o*v**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 573, 1296, 2309, 3612, 5205, 7088?\nAnswer: 9261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**19\/((u*u**(-7))\/u))\/(u**22*u**20))**(3\/7) assuming u is positive.\nAnswer: u**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/2 (b) -0.1 (c) -7\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -36, 41, 148?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -9, 0 in ascending order.\nAnswer: -21, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**24*r**(-2\/17)\/r)\/(r**(9\/5)*r**(-2\/17)\/r) assuming r is positive.\nAnswer: r**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2068 - -2080. Solve 0 = -4*s - 2*l - t, -s + 0*l = -5*l + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77400721 to the nearest integer?\nAnswer: 8798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:13 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*t**5 - 30*t**2 - 4*t**2 - 55*t**5 wrt t?\nAnswer: -5460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/1*((-18)\/(-5))\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - 8 - 6) + -1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 479705445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*n + 0 + (n + 0*n - 3*n)*(3 + 1 - 3) - n + 2 - 2 + 4*n + 2*n + 0*n)*(1 + 3 + 2)*(-2*n - n + 5*n) to the form w + t*n + x*n**2 and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = -3*l + 31, 4*t = -2*l + 34. Suppose 5*m = l + 16. Suppose 4*v = m*v. Solve -3*z + 4 - 1 = v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-10)*p\/((p**3*p)\/p))\/(p*p**(-2\/3)\/p)**(1\/4) assuming p is positive.\nAnswer: p**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 22*h**5\/3 + 942*h**4 + 60008*h**3\/3 + 79448*h**2 - 49440*h = 0.\nAnswer: -103, -20, -6, 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmvv. What is prob of sequence mm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*o - 89*o + 15*o - 125*o)*(-2*o + o + 2*o) - 91*o**2 + 54*o**2 + 55*o**2.\nAnswer: -159*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15\/8 - -13\/8. Which is the nearest to q? (a) -1\/2 (b) -2 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7100 - -7123. Solve -1 = -y + 5*k + 25, 2*y = -5*k - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 572822 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042 times -1078?\nAnswer: 45.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -1 + 2. Let i = g + 0. What is the second smallest value in i, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 + 1 = -o, -4*q - 4*o = 16. Which is the closest to q? (a) -4 (b) 2\/15 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 13324380?\nAnswer: 333109500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - -15.49088004\nAnswer: 15.56088004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4\/3 + 60*d**3 - 644*d**2 - 2116*d\/3 = 0. What is d?\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15653.\nAnswer: 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, p: 1, u: 1, m: 2, w: 1, d: 1}. Give prob of sequence mduw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271018659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((196\/441*18)\/(60\/9))\/(42\/80).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from yyyooobbyobyo.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127*x = 2*a - 1122*x - 45, 18 = -52*a + 2*x + 222 + 306 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-40*c**3 - 17*c**2 + 17*c**2 - 2*c) - 70*c + 70*c + 4*c**3.\nAnswer: 44*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 2*c**2 + 100 - 153.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*f + 68 = 0, 2*h - 5*f - 34 = -f. Suppose 697*p - 403 = 684*p. What is the remainder when p is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqggqqllqlqqlqqgqg. What is prob of sequence qqqq?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/213*(-3)\/(-37)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1.9, 0.01122?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*h - 26*h - 83*h + 2198 + 1786 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334284*s**3 - 154682*s wrt s?\nAnswer: -2005704*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/15 - 281876*s**2\/15 - 9931759922*s\/15 = 0. Calculate s.\nAnswer: -70469, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2)\/2 - -3. What is the first derivative of -2*s**3 - 3*s**a - 11 + 17 wrt s?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a + 11. Let q(f) = -1 - 3 - 9*f - 1 + 11*f. Determine 13*q(k) + 6*r(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/2)\/(224\/448).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 2528.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 8*m**2 - m - 6. Let g(l) = 2*l - 2. Let x be g(-3). Let u be j(x). Suppose 2*n + u*n - 12 = 0. What is the closest to 2 in -5, n, -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**2 + 1. Let s = -11 - 48. Let j = s - -60. Determine a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.3 (b) 5797\/3 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094760 - 2094760 + 566*v.\nAnswer: 566*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1701 - -3063. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116757 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4252, -394, 6036, 15038, 26612, 40758, 57476?\n\"Answer: 1286*q**2 - 5538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/5 + (1 - (-5 - -2)). Suppose -u - 5*n = 4, -3*n - 4 = -4*u + s. Solve -5 + u = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -462655*p**2*u**2 - 110554*p - 2*u**2 wrt p?\nAnswer: -925310*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*p - 34 = 0, 32*j - 3*p - 80 = 54*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 122.70486us?\nAnswer: 0.000002045081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 92970, 92963, 92940, 92895, 92822, 92715, 92568?\n\"Answer: -z**3 - 2*z**2 + 6*z + 92967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 435656 and 17535154.\nAnswer: 70140616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**4\/12 - 5*h**3\/6 + 2*h**2 + 27*h + 27. Let k(n) be the first derivative of x(n). Solve k(a) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002440206 rounded to 7 decimal places?\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w**5\/2 + 23950*w**4 - 85179*w**3\/2 + 13311*w**2 + 5324*w = 0.\nAnswer: -5324, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 8) in base 7?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-17\/2)\/c*c*c*c**(-40) assuming c is positive.\nAnswer: c**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389146 divided by -194573.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdiav. Give prob of sequence ad.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2023*r + 4052*r = 2031*r + 6, 0*f + 48 = f - r for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1387 and 7961?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97429247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1303 = 4*u, 0*u = u + 5*z - 357. Let j = 577 - u. Suppose 2*o + j = 3*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-6) - 2 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*t - 26, 5*g + 0*t = 4*t - 6. Suppose -4*c + g = -2*c. Which is bigger: c or -1\/16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10578183.\nAnswer: 3, 7, 11, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 589 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271697 is divided by 622.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2941 = 7*d - 1721. List the prime factors of d.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195688 is divided by 1494?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70.4? (a) 0.5 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 c, 1 a, and 1 z when four letters picked without replacement from {s: 3, r: 1, v: 3, a: 1, z: 1, c: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {x: 7, i: 1, q: 3, o: 3, u: 2, l: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183 + 122 + 198)*(2*u - 2*u - 2*u**3).\nAnswer: -1006*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 46416.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 27499*s**2\/2 - 109999*s\/4 + 13750.\nAnswer: (s - 1)**2*(s + 55000)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18773030 to the nearest integer?\nAnswer: 4333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 + 10*n**2 - 11 + n - 4*n**2. Let u be b(4). Suppose 0*c - 3*c = -u. Solve 4*m - 2*w - 8 = 0, -w - 8 = -4*m - c*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 119, 271, 483, 755?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from dnrnnnddrdr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/(v*(v**(-2\/3)\/v)\/v))**(1\/13)\/((v\/(v\/(v**(-4)*v))*v**(-2\/3))\/((v**2*v)\/v**(1\/7))) assuming v is positive.\nAnswer: v**(5462\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*q, 0*q - 2*q = w - 2. Suppose 3 = 2*z - 1. What is the lowest common multiple of w and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2 - 5*l + 4. Let m be i(1). Suppose -4*g + 4 + 8 = -3*n, m*g + 4*n - 46 = 0. Calculate the highest common divisor of g and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -397 (base 12) to base 4.\nAnswer: -20203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -146 in -4, -3\/7, 5, -0.4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y. Suppose -4*k + y*o = 2*o - 264, k + o = 67. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 8. Let j = -14 + 7. Let n be t(j). List the prime factors of 3 + n*(-87 + 2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/4139 + -802953\/53807. Is -14 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 19*g**2 - 81*g + 6. What is the lowest common multiple of 300 and h(-6)?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2331?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z - 63 = 0. Calculate the remainder when z is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 338 + -335. Suppose 2*f = -4*h + 104, -f = -2*f - y*h + 49. Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 1014, 1539, 2062?\nAnswer: 2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*j + 1828.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - v - 3 = j, 3*j + 5*v = 1. Let d = -2 - -4. What is the derivative of 38*p**j - 2 + 5 - 41*p**d + 0 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-2 - 1) + 5 + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688, -1529, -2932, -4897?\nAnswer: -7424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, w: 1, u: 2, e: 4}. What is prob of sequence uw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+16497958\nAnswer: 16497958.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 - 0\/2. Suppose 4*d + 34 = -3*l, 0 = 5*l + 3*d - 5*d + 22. Let j = -2 - l. Which is the nearest to 2? (a) 0.4 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 22. Let h be f(9). Suppose h*a + 4*j = 92, 5*a + 55 = 2*j + 156. What is the remainder when a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 28031. Let c(m) = -19*m. Determine g(c(j)).\nAnswer: 76*j + 28031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 1. Let s(h) = -3*h**3 - 6*h**2 - h - 9. Let g(y) = s(y) - 2*u(y). Suppose 0 = 3*d - 14 + 32. Let r be g(d). Let p(b) = 4*b + 1. What is p(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1692 and 314994.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*k**2 + 22*k**2 + 1158*k + 18*k**2 - 1158*k + 21*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 2*a**2 - 3*a**2)*(22*a**3 + 46*a**3 - 14*a**3) - 4 + 4 - 3*a**5 + (0 + 2*a + 0)*(-1 + 1 - 2*a**4) + 4*a**2 - 4*a**2 - 2*a**5.\nAnswer: -279*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391729, 783213, 1174697, 1566181?\nAnswer: 1957665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:52 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 10 - (-178)\/58 - (-12 + 0 + 9)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/1440 - r**5\/480 + r**4\/16 - r**3\/6 - 20*r. Let q(y) be the second derivative of k(y). Factor q(t).\nAnswer: -(t - 2)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -22*v - 60. Let h be 112\/(-24)*v\/14. Suppose h*s + 3 = k, -4*s + 7*s = -4*k + 12. What is the lowest common multiple of 5 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118668, 237361, 356034, 474681, 593296, 711873, 830406?\n\"Answer: -o**3 - 4*o**2 + 118712*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 33. Suppose -8 - 6 = -4*o + z*j, j + 22 = 5*o. Suppose 4*f - 3*h - 403 = 0, -o*f = -3*h + h - 502. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4029\/(-237) - 6\/2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)*(0 + -1). Suppose 4*c + 3*q = 15, 0 = -c + 3*q + q - 1. Is (c - 0)\/(g\/(-14)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924580543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 936 + -911. Let y be 20 + 2*(-1)\/2. Let m = c + y. Calculate the highest common divisor of 66 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/24 + 3*v**2. Suppose 5*c - 5*f - 35 = 0, -f = 2*c - 0*f - 2. Let l(o) = -2*o**2 - 3*o + c*o. What is a(l(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 3*p**2 + 8 - 8.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 - 3 = 0. Suppose r = 5*x - 21, -n*x + 7 = -2*r - x. Solve 8 = 3*q - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7950148 to 3 decimal places.\nAnswer: -0.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/(-6) + 1035436\/204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19088)\/(-20) - (-2)\/(-5). Suppose 0*m + 2*r + b = 3*m, r = -5*m + 1603. Calculate the greatest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (0 - 9\/10). Let q(z) be the second derivative of p*z**6 + 2*z + 0 - 1\/4*z**4 + 0*z**3 + 0*z**5 + 0*z**2. Find the third derivative of q(n) wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**5*n*n*n**(-1\/2)*n*n)\/(n**(-2\/7)\/n*n)**(-14\/11))\/(((n**(4\/7)*n)\/(n\/(n\/n**(1\/8))))\/(n\/(n**(-2)\/n*n*n)*n**(-6\/7))) assuming n is positive.\nAnswer: n**(5441\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (72\/(-32))\/((-1)\/196). Let m(s) = -s**3 + 18*s**2 + 20*s - 12. Let k be m(19). Find the second derivative of v + k*c**2 - 9*c - 441 wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 8*t**2 + t**2)*(4*t - 4 + 4)*((-2 - 4 + 4)*(-3*t + 3*t - t) - 2*t - 2*t + 3*t).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 2*l + 1. Let d(n) = 9*n + 190. Let f be d(-21). Let c(u) = u - 53*u**3 + u**2 + 113*u**3 - f + 2*u - 58*u**3. What is 2*c(i) + 3*j(i)?\nAnswer: i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 1 c when three letters picked without replacement from {p: 5, b: 1, n: 2, f: 2, c: 6, w: 1}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6299 - -18896\/3. Which is the smallest value? (a) -4 (b) -1\/4 (c) -14.9 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r - 39. Is y(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 176, 292, 404, 506, 592, 656?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 181682 and 6?\nAnswer: 545046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z**3 - 2*z + (-26*z - 5*z - 2*z)*(-z - 2*z**2 + z))*(5*z**2 - z**2 - 8*z**2).\nAnswer: -272*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1656 - 829 + 3*a**2 - 827 - 5*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368.5 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 200 + -185 + (-3 - 29)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 1, s: 1, q: 2, v: 1, r: 1}. Give prob of sequence krv.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4873183mg in tonnes?\nAnswer: 0.0000000004873183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -68312*p**2 + p. Suppose -5*q = 3*o + 30, -32 = 4*q - 3*o + 7*o. Let k be i(q). Let j = k - -1514811. What is j rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -421*n + 156. Let g be d(-18). Suppose g + 636 = 15*c. Is c less than 557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:24 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/((p\/(p\/p**(2\/7))*p)\/p))\/p)\/p**15)**(-5\/3) assuming p is positive.\nAnswer: p**(500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19793 - 39542 + 2*f**2 + 19749.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2483753, 9935013, 22353779, 39740051, 62093829, 89415113?\n\"Answer: 2483753*u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 36 = 2*s - 382, 0 = 3*s + 12. Suppose v + 40 = 3*o + g, v - 4*o = 79. Let k be v\/(-6*(-1)\/952). What is k rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**3 - 386*t**2 - 3*t**4 - 3 + 1 + 385*t**2 - 8*t**3 + 16*t in the form o + f*t**4 + v*t + a*t**3 + g*t**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 4 - 4 + (-2405 - 86*o**2 + 2405)*(-o - o - 3 + o).\nAnswer: 82*o**3 + 258*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunuuttt. What is prob of sequence tt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356195482 rounded to the nearest 10000?\nAnswer: 1356200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4194148417 to the nearest one million.\nAnswer: -4194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 3. Calculate the remainder when 34 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 1. Let d = -0.333 + -0.067. Let b = k - d. What is the second smallest value in b, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 318780 and 2569560.\nAnswer: 84795480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 34, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57, 243, 557, 999?\n\"Answer: 64*m**2 - 6*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 795 divided by 1373?\nAnswer: 795\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + 2*p**2 - 1. Let x be ((-4)\/(-14) + 9\/(-7))*1. Let c be i(x). Solve q = c*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6870 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose 0 = -5*v + 11*v - 18. Suppose c + 5*a - 90 = 0, v*c - q*c + a = -66. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221.8 - 218. Let l = i + -3.80000345. Round l to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -29. Suppose 4*m = i + 46 + 97, b*m + 5*i - 210 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553, 1096, 1639?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*x - 39*x**2 - 23*x**2 + 148*x**2 - 34*x**2 - 19*x**2.\nAnswer: 33*x**2 - 49*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 47*p**2 - 20*p**2 + 62*p**2 + 14*p**2.\nAnswer: 88*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -97610113 times 1\nAnswer: -97610113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q - q)*(-1 - 5 + 5) + (-3 - 1 + 1)*(1 + 2 - 2*q - 1) to the form c*q + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 + 163. Let j = -1 - -2. Let l = -1.5 + 2. What is the nearest to j in 5\/3, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 783c444 + -1?\nAnswer: 783c443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(132)\/sqrt(11) - sqrt(12)\/sqrt(4)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2\/19*r**2 + 4\/19*r + 2\/19 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75637361.\nAnswer: 37, 563, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*f + 77*f + 104*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let c be 2\/((-24)\/(-12) + 2 + -6) + 6. Solve v*j + r - 6 = 5, 4*r = -c*j + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.135 (c) -0.06 (d) 122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.0756 millimeters in meters?\nAnswer: 0.2770756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 + 1. Let b be z(-6). Let j = 4 - b. Let k(l) = l**3 - 4*l**2 + 7*l - 12. Let x be k(3). Solve g - 8 = y, x*y + 5*g = -j*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 153*a**2 + 2*a**3 - 405*a**2 - 2*a - a**4 + 221*a**2 + 5 as y*a**3 + q + b*a**4 + s*a + i*a**2 and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5893*j**2 + 646*j + 40. Let x(a) = 1963*a**2 - 215*a - 15. Let p(n) = -3*w(n) - 8*x(n). What is the second derivative of p(l) wrt l?\nAnswer: 3950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 12 = 2*p. Let m(b) = b**3 - 17*b**2 + 5. Let s be m(p). Do 3 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10449 > -10438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111616565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -401 - -400.57. Let k = -0.078 - y. Round k to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*j**3 + 77*j**3 - 23*j**3 - 349*j**2 as i*j**2 + q + r*j**3 + o*j and give i.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.8 - 51.799964. Round t to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 87 (b) -5\/3 (c) -1\/5 (d) 3 (e) 1\/4 (f) 5\/4 (g) 0.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.859155 millilitres in litres?\nAnswer: 0.007859155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11361 < -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:43 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 3*l - 3*l + 9*l - 5*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y**2 + 7*y**2 + 2*y**2)*(4*y**2 - 3 + 3).\nAnswer: 76*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 487 + -517. Let k be (-3)\/(-5) - (6 + 9972\/f). Is k >= 327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*sqrt(260)\/sqrt(5))**2 + -3)*5.\nAnswer: 8290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 3*r**2 - 3*r**2 + 6*r**2 - 2*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, g: 12}. What is prob of picking 3 l and 1 g?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -240*n + 19969. What is f(83)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let z(f) = 2 + f - o*f**2 + 10 + f**2. What is the smallest common multiple of z(0) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - o - 2. Let i be q(-1). Let s = 49 + -52. Sort s, 3, i, 1 in descending order.\nAnswer: 3, 1, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1026426 by 1479.\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 20*v - 80 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {i: 4, j: 4, q: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*r - 193*r + 15 = 0. Solve -2*h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - y + 158. Is l(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 times 18?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10164 (base 7) in base 2?\nAnswer: -100111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*q + 10, 2*s - 10 = -2*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let l(a) = -251542*a. Determine l(u(q)).\nAnswer: -251542*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 942669837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 9.8?\nAnswer: -88.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139908\/2620*((-500)\/30)\/10?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*j - 9*i - 1442, 5*j + i = 3632. Let y = j - 498. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-12 - -1) + -29 + 35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgsvgwwg. What is prob of sequence hv?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 + 3*p**2\/2 - 12. Factor i(w).\nAnswer: w*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, -8, 3, -5 in descending order.\nAnswer: 14, 3, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 153*z + 4439. Give v(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 11. Let w = -6 - -10. Let x = 0.06 - -0.04. Which is the second biggest value? (a) x (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51340 divided by 9.\nAnswer: -51340\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/5, 2\/7, -0.4, 91, 171.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1423*d - 34*d**2 + 8*d**3 - 1423*d + 79*d**2 - 45*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 8. Let r = -10 + 18. Let z be x(r). Let b be (-2)\/(-6)*(-12)\/8. What is the closest to b in 1\/9, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:38 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 0.1 (c) 12\/13 (d) -5 (e) 773\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17807340 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3143 + -1125. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 7*j. Which is the third biggest value? (a) j (b) 0.08 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/9123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - p = a, 0 = -4*p + 5*a + 44. Solve -p*w - 90 = -24 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 0.0551984.\nAnswer: 1.0551984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2950)\/649)\/((-24)\/(-264))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 764*q - 73 = -765*q, -2*r - 4*q + 52 = 0 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, 0.1, 95?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.6 + 19. Suppose 0 = z + 4*y + 21, 2*y = z - 1 - 2. Which is the nearest to 0? (a) u (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((22\/(-11))\/(-1 - -3) + 2)\/1. What is the closest to -2 in -1, -0.5, -169, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 28 = -8*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 - 249. Calculate the remainder when 42 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -1011000011010001100111111?\nAnswer: -1011000011010001101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23009 - 23008.96999875. Let r = l - 0.03. What is r rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 11 = -6*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 = 395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 - 16*s + 20. Let w be o(2). Solve w*i = -2*v + 10, -2 = i - 5*v + 23 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - 5. Let g(z) = -2*z**3 + 6*z**2 + 6*z + 8. Let q(h) = -h**3 + 7*h**2 + 7*h + 7. Let i(t) = 7*g(t) - 6*q(t). Calculate 5*i(y) + 14*n(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + z)*(10*z - 5*z + 7*z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*h - 73*h - 63*h - 59*h - 63*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/42)\/(1 + (-15)\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260622473 a multiple of 5917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1561, 1563, 1565?\n\"Answer: 2*m + 1559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 247?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*j = -35, -3*j + 2 - 43 = -5*w. Solve -3*q - 3 = -5*k + 7, -q - w = 5*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - (-84)\/(-16))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9009728599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpppccpb. What is prob of sequence bp?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 89*-7\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 587\nAnswer: 17\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - 40. Let x = l + 123. Solve -x*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 1. Let p(l) = 3*l - 2. Let a(b) = -p(b) - 2*z(b). Let k be (-2 - 0\/(-1))*-1. Let g(i) = 5*i**2 + i**k - 2*i**2. Determine g(a(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-10) - 1\/5. Suppose 0*f = -r + u*f + 7, -3*r - 6 = 3*f. Suppose 0 = -2*y + 4*y - 2. What is the nearest to y in 3, 2\/13, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 11 + (-2)\/(-1). Suppose -2*z = -0*z + t. Does 15 divide (-4)\/z*(-2 + 47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = -3*s. Suppose -y - n - 25 = -5*y, -y = -s*n + 5. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/812 and 52\/5.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/(-8) - (-4)\/(-16). Let l = x + 1. Let q = l + 4. Let g(c) = -c - 3. Calculate g(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320504221 + 0?\nAnswer: 320504221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5617117\/697080 + 5365\/3768. Let y = j + -6\/185. Is -8 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4824.6 != 12531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -20*h - 26. Let d(n) = 4*n - 2*n - 5 - 6*n. Let v(c) = -11*d(c) + 2*g(c). What is v(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 + 2*m**4 - 2*m**2 + 9793*m - 5 + 9801*m - 19543*m to f + u*m**4 + r*m**2 + s*m**3 + h*m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 201322 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 13. Let p be c(11). Solve -p*d = d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 21*q - 1\/7*q**2 + 0*q**3 + 1\/42*q**4 + 0. Factor i(d).\nAnswer: 2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346269.\nAnswer: 3, 113, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1330, -15, -2, 1 in decreasing order.\nAnswer: 1330, 7, 1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 5. Let p be (-29)\/(-9) - w\/(-27). Let j be (-58)\/(-5) - 4\/(-10). Solve -t + j = p*t + 4*u, -t = -2*u + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901448884.\nAnswer: 2, 7, 4599229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1255*g + 7074*g + 3511*g + 1399500 for g.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(288) + 2*sqrt(288)*6 + -4 + -4.\nAnswer: -12 + 156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + p - 1. Let d(b) = -8*b**2 + 16*b - 5. Calculate d(y) - 5*r(y).\nAnswer: -3*y**2 + 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5\/5 - 1268*r**4\/5 - 137744*r**3\/5 - 2751808*r**2\/5 - 468992*r + 5235776\/5 = 0. What is r?\nAnswer: -62, -26, -2, 1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*d + 6*c - 89, 5*d + c = 103. Suppose d = -4*w + 4*q, -4*w + 0*w - q - 35 = 0. Let u = w - -18. Calculate the greatest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s - 2\/21*s**4 + 1\/210*s**5 + 0 - 7*s**2 - 4\/7*s**3 + 1\/420*s**6. Factor v(g).\nAnswer: 2*(g - 3)*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 10*z**2 + 13.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-two fifths of a micrometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.026*-606.\nAnswer: 15.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*z = -392*z - 351 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 14}. What is prob of picking 2 m and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.2 + -20.2. Let w(g) = g**3 + 26*g**2 - 29*g - 58. Let c be w(-27). What is the third biggest value in t, -1\/6, c, 1\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = 11. Let b(a) = 2*a - 3. Let f be b(2). Suppose -13 + f = 2*h. Put s, -3, h, 2 in ascending order.\nAnswer: h, -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -7200946?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10010011000100 (base 2) to base 15\nAnswer: 2bc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 182 - 195 + 5*g + 27*g + 2*g**2. Let q(c) = -c**2 - 16*c + 6. Let x(o) = -6*l(o) - 11*q(o). Calculate x(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z = 48 + 113 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/28 + 132\/21. Let m(j) = -2*j - 6655*j**2 + 164988*j**2 - f + 5*j. Let r be m(6). Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -13*l + 15*l, -5*l - 15 = 3*x. Let j(d) = -d + x*d - 5*d + 5*d + 1. Let i(w) be the first derivative of -w + 1. Give 3*i(b) + 3*j(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 t when four letters picked without replacement from ttvvvtvvtttvvvvtttv.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -2*n**3\/57 - n**2\/19 + 8. Determine l so that u(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/15 - 4\/(-20). Suppose -4*l + 3*z = -128, -2*l + w*z + 54 = -4*z. Suppose 16*f - l = 11*f. What is the least common multiple of f and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144469*v**2 - 29*v**3 - 288938*v**2 + 2088*v**3 + 144469*v**2.\nAnswer: 2059*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/2 (b) 2\/3 (c) 31\/3 (d) 2 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 - -1 - (11 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l - 25. Suppose 7 = 5*a + 7. Determine d(a).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88217\/22630 - -4\/2263. Let f be 180828\/26576 + (-2 - 0). Let j = -19\/604 + f. Find the common denominator of a and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gttc when four letters picked without replacement from gcttdtwtcttwtctttttt?\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/23430195 or 0?\nAnswer: 2\/23430195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 21 - 46 = 4*o, 4*o - v = -37. Let m(x) = -x**2 - 22*x - 30. Let c be m(o). What is the highest common factor of 585 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjlj when four letters picked without replacement from lvvjvjlvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -144\/77?\nAnswer: -144\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -107312372.\nAnswer: -3\/107312372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/24 + g**3 - 9*g**2. Give v(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 30278715?\nAnswer: -30278716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -13, -22, -31, -40?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73345428 and 1729845?\nAnswer: 366727140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 + -269 + 11\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22383209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14594936651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 52\/10)*(-30)\/4*(-185)\/(-5550)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 - 4)) + -25 + 9 + 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-12) + -2)\/((-42)\/((3 - -15) + -14)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**3 + 2*j**3 + 4*j + 2*j - 74 - 14*j + 0*j**3 wrt j?\nAnswer: 12*j**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 17*j**2 + 6*j - 9. Let a(b) = -b**2 + 10*b - 32. Let w be a(10). Let l = w - -36. Does 37 divide y(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 11*x**2 + 7*x + 32. Let d be n(10). Solve -d*l - 11*l - 52 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 171\/641?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 499 - 103 = -82 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10 + 12*n - 1 - 4*n - 5*n. Let f be c(-3). What are the prime factors of f\/4*-1 - -157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + -1. What is the units digit of (-1)\/(-3) + (-70)\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 7:04 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-8)*(-2)\/(-3). Let v = 9 - -7. Suppose -o*p - p + v = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3185518, 3185517, 3185516, 3185515, 3185514, 3185513?\nAnswer: 3185512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*z + 483 = -37*z - 589 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6799454*l**3 - 3400088 with respect to l.\nAnswer: 20398362*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -3420?\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20745075 and 594692150?\nAnswer: 1784076450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1128\/120 + (-2)\/5. What is the greatest common factor of 36 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.4 + 6. Let a = -0.60000095 + t. Round a to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3704 is divided by 184.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 72536888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 4 (b) 3\/5 (c) -2 (d) 29\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-48)\/30)\/(4\/(-290))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3846 * 0.43\nAnswer: 1653.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*p = -312*p - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m - 8. Let o be k(-8). Let f = -35 + o. Suppose 4*s + 16 = 0, -6*n + 5*n - 7 = f*s. Calculate the remainder when 48 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 1064.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*a = 24, 15 + 9 = 2*p - 5*a. Let m(y) = -y - 6. Let s be m(-6). Solve j - p*j = s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from pipyjaq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313439 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/37*((-102)\/(21\/7))\/(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103001 (base 4) to base 15.\nAnswer: -2bc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -15\/7, -4\/3, -3, -121?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/9)\/(2\/(-6)). Let r = b + -2. Suppose r = -3*k - 4 + 94. Calculate the highest common divisor of 45 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 57775.3\nAnswer: -5777.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5)**(-31) assuming v is positive.\nAnswer: v**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/7))**(-4\/5)\/(g**(-7)*g\/(g**(1\/12)*g)*g) assuming g is positive.\nAnswer: g**(2603\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*t - 1375 = -139*t. Suppose -138*a + t*a = -390. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/4 - 267*g**3 - 96675*g**2\/2 - 2398619*g + 9788895\/4 = 0 for g.\nAnswer: -855, -107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 158688045 to the power of 1\/2, to the nearest integer?\nAnswer: 12597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t. Suppose t = -5*q + q + 8. Suppose 0 = -q*j + 29 - 9. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*m - 30*m - 16*m**2)*(-2*m + 4*m + 4*m) + (-4*m**2 - m - 43 + 43)*(0*m - m - 2*m + 2).\nAnswer: -84*m**3 - 5*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*a = -13 - 41, 2*t - 5*a = 64. Calculate the remainder when 4368\/(-420)*(0 + 50\/(-4)) is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 494\/3 + 2\/6. What is the units digit of ((-2)\/(-6))\/(5\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-16)\/((-512)\/(-16)))*30\/660\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34189)\/(-53192)*((-463356)\/(-231764) - 2). Let v = n - -2\/485813. Let m = -396473\/57096 + v. Calculate the common denominator of m and -43\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213931?\nAnswer: 31, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 2*n - 5*n. Let y = 182 + -113. Calculate the remainder when y is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -4*h + h - 5*m, -h + 35 = -2*m. Let g be 5*(1 - h\/(-5)). What is the highest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -14. What is the greatest common factor of y and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 205 = -90 - 38. Let r = 57 + -30. What is the least common multiple of r and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.48 times -0.2\nAnswer: 0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/5*5\/1. Let t = 0.208 + -0.308. Which is the nearest to t? (a) l (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293 = -12*i + 4263. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12\/7)\/y**(1\/8) assuming y is positive.\nAnswer: y**(-103\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 14*o + 17. Let a be h(14). Suppose 0 = x + 3*j - a, -2*x - 4*j = -3*x - 11. Solve f - x = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let x be -2*(4\/36)\/((-5)\/3). What is the second smallest value in q, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -39, -54, -67, -78?\n\"Answer: q**2 - 20*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -11*a**6\/200 + 9*a**5\/100 + a**4\/20 - 17*a**2\/2 - 14*a. Let n(i) be the first derivative of m(i). Factor n(v).\nAnswer: -3*v*(v - 1)*(11*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:15 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22624, 33252, 43880, 54508, 65136?\n\"Answer: 10628*y + 11996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13836018 is divided by 238552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744 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: Which is the fourth biggest value? (a) 0.04 (b) 0.7 (c) 4 (d) 237 (e) -8 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*m**2 + 30*m**2 - 22*m - 35*m to the form v*m**2 + t*m + s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 331*k**4\/4 - 10*k**3\/3 - 3*k**2\/2 - 771*k. What is the second derivative of w(y) wrt y?\nAnswer: 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((4\/(-20))\/((-210)\/840)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8510, 8529, 8548, 8567, 8586, 8605?\nAnswer: 8624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -17*f**2 - 2176. Let j(b) = 3*b. Give j(i(v)).\nAnswer: -51*v**2 - 6528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + u)*(-939 + 939 - 337*u**2) + (2*u - 2*u**2 - 2*u)*(9*u - 1311 + 8*u + 1308).\nAnswer: 640*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367 divided by -1.\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 2*q + 8, -5*u + 6*u - 16 = -3*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 7*k**2 + 8*k - 13. Let a be z(4). Let o = a + -25. What is the greatest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -34, -55, -92, -151, -238, -359?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221988059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 129.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**4\/5 - 3104*q**3\/5 - 6252*q**2\/5 + 4360*q - 12448\/5 = 0.\nAnswer: -4, 1, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9651\/96510)\/(((-3)\/30)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.961 - 12. Let m = -50.039 - h. Is -1\/4 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/4))**(-4\/3)\/(p**(2\/3)\/p*p*p*p\/(p\/p**3))*(p**(1\/3)\/p*p)**(-18\/5)*p**(-4)*p*p**0\/p assuming p is positive.\nAnswer: p**(-173\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Suppose -q - y*q = -270. What is the greatest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20\/11 + -169\/99. Which is the third smallest value? (a) 22 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = -4*z, -4*z + 17 + 1 = 3*g. Suppose 0 = m + g*m - 1456. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*z - 20 = 0, -3*i - 18*z - 37 + 29 = 79 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 73340?\nAnswer: 73343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 552045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjj when three letters picked without replacement from {j: 1, g: 14}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 724858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/8 - (-1521)\/(-252) and -91\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g - 112322 = 132439. What are the prime factors of g?\nAnswer: 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (130\/6)\/((-16)\/48000). Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2901489 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 - 65*x**4\/3 + 20*x**3\/3 + 100*x**2\/3 = 0. Calculate x.\nAnswer: -1, 0, 2, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2658576001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(2*sqrt(3) + sqrt(3)))\/((sqrt(4) - sqrt(100))*6))**2 - (-2*sqrt(468)*3 - ((sqrt(468) - (-2 + sqrt(468))) + 1)**2).\nAnswer: 46669\/5184 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -415569, -415564, -415549, -415518, -415465?\n\"Answer: y**3 - y**2 + y - 415570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*5\/(10\/(-4)). Let u = -11 + y. Solve -2 - u = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-17))\/p*p**12*p*p assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 0*f**2 + 0*f**2 - 2*f**2 + 2*f**2 + f**2 + (f + 3*f - 6*f)*(-3*f + 0*f + 5*f) - 4*f**2 - 3*f**2 + 2*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61216 - 1455?\nAnswer: 56431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (1 - (4 - 3)) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/40)\/((-28)\/20))\/(36\/42).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - r - 28. Let j be f(-12). Let o be (-737)\/(-8) - (-20)\/j. Let u = o - 74. Solve 0 = -3*p + 4*n + u, -5*p - 2*n = -0*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, m: 1, y: 2, t: 2}. What is prob of sequence tk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -z + 3*z. Let i = z - -13. Let n = 285 + -4277\/15. Which is the second biggest value? (a) i (b) -1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 6612004.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5542 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2)*5\/(-5). Suppose -116 = -5*q - 4*c, 2*q - 6*c = -w*c + 24. Factor 20 - 40*x**2 + 7*x**3 - 27*x**3 + 25*x**2 - 5*x**4 + q*x.\nAnswer: -5*(x - 1)*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 126543428581.\nAnswer: 126543428584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95806 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001111011000111 (base 2) in base 13?\nAnswer: 95ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 302*i**3*o**3 - i**3*o - 523*o wrt o?\nAnswer: 1812*i**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.9, 1, 2\/19, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 104*o - 86. Let p be a(11). Suppose -p = -4*u - 3*x, 0 = u + 3*u - 3*x - 1070. Calculate the greatest common factor of 56 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, -3, 2\/23, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 5*v - 1 = 0, -c + 178 = 2*v. What is the highest common factor of 36 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 398*q. Let v(m) = -21*m + 43. Determine t(v(s)).\nAnswer: -8358*s + 17114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 35*n - 39*n - 2*d, 5*d = -5. Solve -b = -n*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yplpulwyulvp. Give prob of picking 1 v, 1 w, and 1 u.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:08 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from algarlalqg. What is prob of picking 1 r, 2 g, and 1 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1472 (base 13) to base 11.\nAnswer: 2257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - ((2*sqrt(539))**2*-4 + sqrt(539)).\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 3*q**4\/4 - 5*q**3\/6 - 3*q**2 + 5*q. Let a(t) = 26*t**2 - 14*t - 18. Let m(l) = -5*a(l) + 14*f(l). Differentiate m(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -258*y - 106297*y**3 + 343 + 1437 + 106296*y**3 wrt y.\nAnswer: -3*y**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 50*j**2 + j + 216. Is 73 a factor of d(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*7\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1605, 19 in decreasing order.\nAnswer: 19, -5, -1605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34300 - -132300. Round c to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(76) + 4 + 2)*5)**2*-3.\nAnswer: -6900 - 1200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1500571, -1500556, -1500531, -1500490, -1500427, -1500336?\nAnswer: -1500211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 3*q**2 - 2*q**3 + (-4*q**3 - 68*q**3 + 16*q**3)*(0 + 0 + 1) - 5*q**3 + 6*q - q + 4*q**3 as b*q**3 + x*q**2 + k + r*q and give b.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is (7*6\/42)\/((-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 5487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**3 + 1583*h**2 + 15352*h - 9780 = 0.\nAnswer: -10, 3\/5, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 - -87. Sort 0.4, 0.04, h, -3 in descending order.\nAnswer: 0.4, 0.04, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {u: 3, d: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 299.9885 + 0.0115. Let n = i + -300.3. Which is the fourth smallest value? (a) -0.4 (b) 1 (c) n (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*u - 9366 = 0, -2*i - 770 + 4517 = u. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4608 - 4611. What is the second smallest value in -4.1, -5.5, h?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**3 - 72*t**3 - 48*t**3)*(6 - 3 - 1)*(-5 + 1 + 7) to i*t + m + n*t**3 + x*t**2 and give n.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4 + 3*2\/(-4). Solve 0*g = -g - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 20. Suppose -99*x + 61*x - 380 = 0. Give t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -97, -293, -669, -1285, -2201, -3477?\nAnswer: -5173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {x: 5, g: 2, t: 5}?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-45)*q)\/q*q\/(q\/q**(-8)) assuming q is positive.\nAnswer: q**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308015*-5.29.\nAnswer: 1629399.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 10:38 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**2 + 54*t - 184. What is the remainder when 391 is divided by y(-6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*((-28)\/(-8) + -3). Suppose -54 = -0*g - 2*g - x*i, 3*i = 5*g - 95. List the prime factors of g*(11\/3 - 5\/(-15)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(sqrt(243) - sqrt(243)*2)**2)*5 - (-2 + sqrt(243) + -1 + -4 + (sqrt(243) - (-2*sqrt(243)*-6 - sqrt(243) - sqrt(243)))**2).\nAnswer: -22106 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v**7*v*v)\/v*v**(-22) assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 2*x - 3. Let k(q) = 7*q**2 + 291*q - 178. Let d(y) = 20*h(y) + 5*k(y). Find t, given that d(t) = 0.\nAnswer: -95, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19534, -27274, -35012, -42748, -50482?\nAnswer: -58214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -454025 (base 13) to base 14\nAnswer: -308700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-5))\/1*(18184 + -18174)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -230788089 and -230788088 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.55, 1, -4, 3\/5, -2\/7, -0.1504?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 (base 11) in base 5?\nAnswer: -4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.07, -15, 0, -0.1 in decreasing order.\nAnswer: 2\/3, 0, -0.07, -0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326 + 333. Suppose -5*j - 10 = 0, 8*j - 10*j - i = -o. Suppose 5*u = 3*u. Sort 4, u, 9, o in ascending order.\nAnswer: u, o, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.051 - -0.251. Which is the second smallest value? (a) 5\/11 (b) n (c) 3\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:48 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4378 and 14390.\nAnswer: 31499710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24248253?\nAnswer: 3, 8082751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-220)\/(-385)*21\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**4\/14 + 2*h**3\/21 + 2*h**2\/7 + 99. Factor s(c).\nAnswer: -2*c*(c - 2)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-8 + 19 - 25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 14*s**2 - 14*s + 6. Let y be v(15). What is the smallest common multiple of 30 and 63*1*y\/63?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20644 + 18634 = -2419*o + 6997*o - 29392 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/12*-16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 0 - (-11 - 12 - -27) - -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(-29)\/203?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 1 n when three letters picked without replacement from {x: 1, w: 2, d: 3, n: 3, i: 6}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d + 5*d + 2 - 9*d**2 + 2*d**2 + 11*d**2 in the form k*d**2 + c + o*d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72125, -72227, -72329, -72431, -72533?\nAnswer: -72635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-532)\/2*15\/(-60)*18 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945175499 less than 0.7?\nAnswer: -945175498.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -686*x - 1718. Calculate g(-5).\nAnswer: 1712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3021 (base 5) to base 14\nAnswer: -1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -28. Let h(k) = 2*k**2 - 12*k - 1. Let s be h(u). Is s >= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -24*v**3 + 11*v**2 - 21*v - 38. Let j be b(-12). Round j to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrr when three letters picked without replacement from {r: 4, l: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*l**5 - 222*j*l**4 + 405*j*l**3 - j*l**2 + j*l + 4*j + 351*l**2 + 9 wrt l?\nAnswer: 60*j*l**2 - 5328*j*l + 2430*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 4*g - 8. Let j = g - -2. Solve -j*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025056 is divided by 2482.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.52374l to millilitres.\nAnswer: 59523.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 3488646?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 4\/9*n**3 + 115 - 24*n + 34\/3*n**2. Solve o(j) = 0 for j.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 96, -3, 2, 23, 1, -1 in decreasing order.\nAnswer: 96, 23, 2, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elye when four letters picked without replacement from leyyllyllye.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4550*z + 4537*z - 195 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -b495e6 (base 15) to base 14\nAnswer: -11d76d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-40))\/(29 + (-2340)\/80)*(-1276)\/154.\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -22. Suppose 0 = 5*i - 2*v - 9, 0 = -4*i - 4*v + 12 + t. Suppose 0 = i*f - 2*k - 88, -3*k - 6 + 28 = f. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 10*t**3 + 2*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 93*12\/(-18)*(-2)\/4.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -62, 4, -3, -1, 85 in descending order.\nAnswer: 85, 53, 4, -1, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10995, 4, 5, -32 in descending order.\nAnswer: 10995, 5, 4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-360)\/150)\/((-66)\/(-440))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/4, 1175, -15.78 in descending order.\nAnswer: 1175, 1\/4, 0, -15.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 106752\/(-47360) - (-8)\/148?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928 - 924 + 4*v + 1852.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1560 or 207546\/133?\nAnswer: 1560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsuskkushuc. What is prob of sequence ck?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 327761559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2846\/2072*11 + -2. Let x = -415\/37 + w. Find the common denominator of x and (-4)\/(84\/81) - -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416702 is divided by 136?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of (-12)\/(-14)*1721769\/326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365544137?\nAnswer: 7, 52220591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162617 or -162645?\nAnswer: -162617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 4*j + 22, 0 = 2*z + 7*j - 10*j - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-12)*t*t)\/t*t*t\/((t\/(t\/(t\/t**(1\/9))))\/t)*t*((t**(1\/7)\/t*t)\/t*t)**(22\/3) assuming t is positive.\nAnswer: t**(-368\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:53 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 31*1493725\nAnswer: 46305475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 4:42 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**2 + 9*b + 10. Let x be p(-3). Let r = x - -91. What is the greatest common factor of r and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17 + -3)\/(-10) - (-2)\/2. Solve 0 = -5*q - x - 23, 0 = h*q - 6*q - 4*x - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 6290.432.\nAnswer: -2516.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2256280*c*h*l + 34*c*h - 3*c*l + 2*c + 15*l - 673730 wrt h.\nAnswer: 2256280*c*l + 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44, -96, -146, -194, -240, -284?\n\"Answer: s**2 - 55*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 + 121. Let p = r - 29. Let g(h) = -2*h + 14. Calculate g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + 4 + (7 + (4 - -19) - 10)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 180 + 460. Suppose 7*y = 10*y + 6, -2*m + 3*y = 104. Let k = m + x. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16738888 and 3172?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2694832 and 2128?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093692\/275 >= 3976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 21*o**2 - 10679*o - 202265. Determine i(-19).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*d**2 - 99 + 27*d**2 + 3939*d - 3941*d to y + h*d**2 + v*d and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 5. Let d be k(9). Let z(n) = 5*n**2 + 7*n - 11. Let o(v) = 11*v**2 + 15*v - 23. Let a(b) = d*z(b) - 6*o(b). Determine a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-16)\/40) - -1. Suppose -z - 18 = -0*s - 4*s, -5*s + 3*z = -26. Solve 14 = -s*w - f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 y when three letters picked without replacement from oooyooooooyyyooyooy?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14501 - 2261. What is the hundreds digit of (-3)\/1 + 27\/(243\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -607*u**4 - 109608*u**2 + 52607301*u + 4?\nAnswer: -7284*u**2 - 219216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**8*((l*l**(-8))\/l)\/l)**7*(l**(-7)\/(l\/(l*l*l*l\/(l*l**(-3))*l)))\/(l**(-1\/2))**(18\/11) assuming l is positive.\nAnswer: l**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Suppose -3*x + 34 - 25 = -4*k, 0 = 5*k. Let c(y) be the third derivative of -10*y**2 + 0*y + 0 + 3\/2*y**4 + 0*y**x. What is i(c(n))?\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/6785 and -47\/640445.\nAnswer: 14730235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*o - 15*o - 13*o + (-5 + 5 + 1)*(8*o - 3*o - 3*o))*(1 - 2 + 0).\nAnswer: 95*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 870 and 4362.\nAnswer: 632490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 33. Let d be 1\/(p\/6)*2. Let n be -2 - (4*3\/24 - 3). Which is the second smallest value? (a) d (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -245 and 0.014.\nAnswer: -3.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 6*n + 30. Let s be k(-10). Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Let t = h + -3. Let p = -22617 - -22619. What is the closest to 3 in 0.5, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -9)*(6 - 5). Let i be (-1 + 0)*(4 + g). What is the second derivative of -i*c**5 - c**5 - 2*c + c**5 wrt c?\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3073, -3172, -3415, -3874, -4621?\nAnswer: -5728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*l - 348*l = -5*k - 19, -28 = 5*k - l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*x + 6*x - 3*p, -p = -5. Let s = -15 + 17. Let v = 3 - s. Which is the second smallest value? (a) x (b) v (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 4*h - 7*h)*((0 - 1 + 0)*(3 + 1 - 2) - 4 + 1 + 1 + 1 + 3 - 5 - 39 - 59 + 6).\nAnswer: 194*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l**2 - 94 - 4*l**2 - 7*l**2 - 4*l**2 - 21*l + 120.\nAnswer: 2*l**2 - 21*l + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 117834.\nAnswer: 589170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3089?\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 6, z: 5, s: 4, j: 1, q: 3}. Give prob of picking 1 z, 2 f, and 1 g.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b*b**5*b**(2\/7)\/(b*(((((b**2\/b)\/b)\/b)\/b)\/b)\/b*b*b*b))**29)**(3\/11) assuming b is positive.\nAnswer: b**(348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q - 187 + 187.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507653, -507651, -507649, -507647?\nAnswer: -507645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*v + 3*v = -8, 3*v - 12 = 0. Suppose 1379*i - 10 = 1384*i. Sort s, -94, i in descending order.\nAnswer: i, s, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3 = -3*d, 0 = -3*x - 459*d + 455*d + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26966, 26400, 25834?\nAnswer: 25268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815)*3 - sqrt(240)*-1)\/(sqrt(5) + sqrt(10)\/sqrt(2)*6 + ((sqrt(5) - sqrt(180) - sqrt(5))*-1 - sqrt(5)) + sqrt(5)).\nAnswer: 37*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 200 + 179 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 51 = -3*a, -5*u - 5*a - 637 + 872 = 0. Calculate the remainder when 1121 is divided by u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000563117 to five decimal places.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.9, -0.5, 499.74 in descending order.\nAnswer: 499.74, -2\/9, -0.5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0, 1171, -2 in ascending order.\nAnswer: -2, 0, 1, 2, 1171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951198?\nAnswer: 2, 975599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -290 smaller than -292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, q: 7, f: 3, s: 1}. What is prob of sequence qq?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10077 and 27.\nAnswer: 90693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -837 + 1178. What is the remainder when s is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -27, -0.2, -0.5, -1\/243 in ascending order.\nAnswer: -27, -5, -0.5, -0.2, -1\/243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 - y + 64 + 66 - 3*y - 61 to q + a*y and give q.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/25)\/(-2)*(-1770)\/(-177).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 17. Let l = 1 - -1. Let h(v) = 0*v**2 + l*v**2 - 2*v - v**2. Give h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y + 6448 = 2158. Calculate the least common multiple of 18 and y.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -142*p + 1140. Let w be q(8). Let v(u) be the third derivative of 0*u - 1\/36*u**w + 0 + 1\/180*u**5 + 12*u**2 + 0*u**3. Factor v(c).\nAnswer: c*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slss when four letters picked without replacement from {l: 5, g: 3, s: 9, u: 1}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27341 is divided by 6831?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 8558223.1?\nAnswer: -8558223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1151 and 207.\nAnswer: 238257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 723 (c) -18 (d) -55 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-1 + -6)*370\/518. Sort 13, -3, j in descending order.\nAnswer: 13, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*k - 229*k + 10*k**2 + 437*k.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q**2 + 4*q**3 - 8*q**2)*(1 + q - 1)*(-1 + 4 + 1) + 0*q**4 - 2*q**4 + 4*q**4 as w*q**3 + d*q**4 + t*q**2 + j*q + g and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5194*h + 5194*h - 44*h**5)*(13 - 5 - 18).\nAnswer: 440*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (31\/(-4))\/(33\/36 - 1).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*h*r**3 + 2*h*r**2 - 91*h*r - 19*h + 10*r**3 - 1557483 with respect to h.\nAnswer: -82*r**3 + 2*r**2 - 91*r - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v + 39 + 3 - 32 + 3*v. Let h(i) = 25*i**2. Give m(h(u)).\nAnswer: -50*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (16 - 12 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/55, 3, -0.93 in increasing order.\nAnswer: -0.93, 2\/55, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20013748 divided by 116359?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-2 + 7 + 1 - (-213 + 208))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2 - 3*n - 39. Calculate d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 7*z = -4*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10184066 or 10184067?\nAnswer: 10184067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 17 (b) -57 (c) 4 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 31*u**2 + 44*u**2 + 0.\nAnswer: 13*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-1 - 1 + 1)*(-r - 4*r + 2*r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 21. Solve -b = -t - 0*t - w, 4*b - 3*t - 23 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 0.9. Let c = 15 - 34. Let u = 18 + c. What is the closest to u in 1\/8, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 4*m + 17, -n + 8 = -0*n - 3*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 3, j: 2, d: 6}. What is prob of picking 1 d and 1 v?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.291433 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0.18, 9, -1.3, 0.03, 2, 0.5?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 + 504*n**2 + 999*n + 498 = 0. Calculate n.\nAnswer: -166, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/10)\/((((d\/d**(-12))\/d)\/d)\/d)*((d*d**(-1\/4))\/d)\/d**(4\/3) assuming d is positive.\nAnswer: d**(-713\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 25 = -x. Let z(d) = 0*d**2 + 3*d**2 - x*d**2. Let q(i) = 4*i**2. What is q(z(o))?\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 5276190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 27. Solve a + 5*t + 7 = 0, 8 = -3*a + g*t + 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8916*d + 28991*d + 13104*d - 46 + 46.\nAnswer: 51011*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 9*z**2 - 2*z - 16. Let i be l(-9). Suppose -i*q - 10 = -24. What is the units digit of (-22)\/(-77) + 544\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 1669*j**5\/20 + 674*j**4\/3 + 30*j - 53. Find the third derivative of l(n) wrt n.\nAnswer: 10014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4\/5 - 9357*n**3\/5 - 3972732*n**2\/5 + 16454748*n - 83215440 = 0.\nAnswer: -2607, -532, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3. Suppose 0 = 5*i - 7 - 3. Suppose 17 = 3*d + i. Let s(a) be the second derivative of -a**5\/10 + a. Give d*s(k) + 8*c(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 12:21 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 330371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7 - 4. Let b = 15 - 16.6. Let k = b - 0.4. Put k, 5, u in decreasing order.\nAnswer: 5, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2491.\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(6\/9) - 192. Is y\/(-27) + (-2)\/9 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6534 + -5087. Is 47 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 25 + (-53 - -11) + 45\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-54) - (-2)\/(-9))\/(40\/(-60))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 1 b when three letters picked without replacement from kbkkkmbmbmbkk?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461 (base 10) to base 13.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -31*j + 54 + 439 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 1. Let n be 37 + -2 - (4 - i). Let y = 48 - n. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*m*v + m - 74*v**2 - 13303 wrt v?\nAnswer: -5*m - 148*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 4517523 and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3.6. Let j be ((-4)\/(-5))\/(-3 + 5). What is the closest to j in -3, k, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + 1 + 3*j - 3*j)*(30 + 41*j - 12 - 17) to the form h + t*j**3 + l*j + m*j**2 and give t.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 20*l**2 + 1049*l - 4457. What is u(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 5*n**2 - 7*n + 2. Let v = 9 + -15. Is 4 a factor of d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2. Let k(w) be the first derivative of 2246*w**3\/3 + 6323. What is p(k(s))?\nAnswer: 5044516*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {y: 4, u: 2, j: 1}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:23 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-31)\/(-18) + (-3)\/2. Which is the closest to m? (a) 1\/5 (b) -2\/17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 80. Suppose g = l + 4*l. Let t = -6 - -1. What is the nearest to 0 in t, -2\/3, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 827.762 to zero decimal places.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16335, -16156, -15977, -15798, -15619?\n\"Answer: 179*d - 16514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -38*b + 1180. Let x be r(31). Let -1\/4*j**5 - 5\/8*j**4 + 0 + 1\/4*j**x + 0*j - 1\/8*j**3 = 0. Calculate j.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1145 - 1148. Sort w, -4, 1\/21 in descending order.\nAnswer: 1\/21, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3683*q - 72 = 3674*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -395*h - 167*h + 41*h to v + g*h and give g.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*(-25)\/1250 - 1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/3 - 2051*m**4\/3 - 1050619*m**3\/3 + 354313*m**2 + 1756512*m + 1052676 = 0.\nAnswer: -1026, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 2*y**2 - 17*y + 1. Let t(a) = a**3 + 15*a**2 + 14*a + 13. Let i be t(-14). What are the prime factors of n(i)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007606635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - z**2 + 5*z - 2. Let f(v) = 3*v**3 - 3*v**2 + 11*v - 5. What is 3*f(o) - 7*l(o)?\nAnswer: -5*o**3 - 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2. Suppose 3*t = t + 2. Let l(f) = -28*f**2 - 57. Let q(a) = t*l(a) + 4*d(a). Differentiate q(k) with respect to k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(((sqrt(22)\/sqrt(2) - sqrt(11) - sqrt(11)) + sqrt(11))*2 + sqrt(99) + 0 + sqrt(99)))**2.\nAnswer: -85536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -0.04, 14, 0.06703, -5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1 + 0*k**2 - 5*k - 3*k + k**2 + 5*k. Let i be r(4). Solve 3*a - 6 = -2*b + 6, -b + i*a - 20 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 (base 9) to base 2\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 49\/3. Let t(r) be the third derivative of r**4\/24 - 13*r**3\/3 + 9*r**2. Let m be t(19). What is the nearest to k in m, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j + 188. What is i(21)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*q - k + 2, 4*q + k - 5 = 0. Is (q + (-28)\/(-12))*39 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1333\/200 - 19861\/3000. Calculate the common denominator of 17\/174 and x.\nAnswer: 43500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1380739697788 and 31.\nAnswer: 1380739697819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -12734 smaller than -12735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 481.\nAnswer: 2\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109513 is divided by 109503.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/((-4)\/(-6)). Suppose 0 = -4*q + 2*q + 56. Let n be 22\/28 - 8\/q. What is the closest to 1\/4 in -1, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 14*y**2 + 232*y + 512. What is c(-8)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 603. Let u(s) = -3*s**2. What is l(u(o))?\nAnswer: -3*o**2 - 603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 403265419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.7. Let o = -6338 - -6337. Put 1\/2, j, 0, o in decreasing order.\nAnswer: 1\/2, j, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 divided by 88829?\nAnswer: 478\/88829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 477 divided by 122515\nAnswer: 477\/122515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 37. Let k(n) = 43. Let a(r) = 6*k(r) - 7*s(r). Let x(c) = -5*c + 5. Give 2*a(i) + x(i).\nAnswer: -5*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -12 (b) 1 (c) -0.8 (d) 5 (e) -1\/4 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*q - 0*q + 15, 0 = 4*o - 2*q - 30. Suppose y = 2, -o*l + 4*y + 5 + 7 = 0. Solve 3*p = -3*x - 6, 4*x + l*p - p = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13416 less than -0.749438?\nAnswer: 13415.250562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152\/5*n**3 + 1284\/5*n**2 + 320 + 608*n + 4\/5*n**4 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000116851007 to 7 decimal places.\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290 is divided by 1271?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*r - 9 = -4, 0 = -6*c - 2*r - 58 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 - 6*t + 1. What is the units digit of f(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -3 + 3 - 11 - 85.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23\/8, -1\/2, 47, 262\/5, 5, 7?\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 872 = 169*z + 58 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 993\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14518.66 less than -0.08011?\nAnswer: -14518.74011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/15 + 3\/(-3). Which is the second biggest value? (a) -80 (b) k (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + -86 - (-3 - 35) - -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 13388418 = -1342977. Let t = u - 575557. Let k = t + 9321836. What is k rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4493 - 3709. Which is the fourth smallest value? (a) -3\/8 (b) s (c) 1\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -1\/7, 17, -26\/7, -60, 6\/5, -4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.28 - 3.28. Is g <= -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + 22525846?\nAnswer: 22525826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7155745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2303 - -303?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 4509 = -4493. Let i(b) = -b**2 + b + 1. Let k(g) = 8*g**2 - 3*g - 9. Calculate v*k(p) - 18*i(p).\nAnswer: 2*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 5. Let r(z) = -z**3 + 4*z**2 + 8*z - 3. Let l be r(u). What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4979686 or 1?\nAnswer: 4979686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 16) to base 2\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/2 - 2*a**3\/3 - 2*a**2 - 2*a + 11. Give g(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 + r - 6. Suppose 0*v - 70 = 2*v. Let n be ((-24)\/14)\/(10\/v). Calculate l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-48)\/(v**(1\/2)\/v*v*v**(1\/4)) assuming v is positive.\nAnswer: v**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 31676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7.51, -3\/2, -5.8, 5, -1.49, -0.1?\nAnswer: 7.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 8*x + 3. Let i be t(8). Suppose -3*a + i = -c, -2*a - 2*a + 30 = 3*c. Calculate the lowest common multiple of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130.23 - -130. Let f = x + 22.83. Round f to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 + 16 + 49*j - 8 + 24 + 7 wrt j?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.755036381 rounded to three decimal places?\nAnswer: -0.755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + sqrt(475) + 2)**2 + 4 + sqrt(76) + -4.\nAnswer: 42*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 - 121*l + 2*l**2 + 2*l**3 + 124*l as r + c*l**3 + k*l**2 + q*l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/4 + 49*z**3\/2 + 362*z**2 + 2903*z\/2 + 4455\/4 = 0. Calculate z.\nAnswer: -81, -11, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138229 a multiple of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 8. Suppose 0 = -17*l + 926 - 824. Let i be (l*(0 + w\/12))\/2. Solve t + h - 1 = -3, i*h - 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1*(90\/(-450))\/(13\/2665)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7046 - -0.9216. What is y rounded to 3 dps?\nAnswer: 0.217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 11*y + 16. Let d be u(4). Solve 88*x**2 + 82*x**3 - 70*x**3 - 2*x**4 - 17*x**d - 4*x**5 + 3*x**4 - 96 + 16*x = 0 for x.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1102*i**3*v**3 + 2*i**3 + 589*i**2*v**3 - v**3 + 2*v wrt i?\nAnswer: -6612*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (sqrt(200)*1)\/sqrt(4))\/(sqrt(160)*5).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 33. Let d = 31324 + -31296. Does d = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**30\/(y\/(y*((y\/(y*y*y**22*y))\/y)\/y))*y**(-13)*y\/y**(2\/5) assuming y is positive.\nAnswer: y**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 3*i. Let v be z(-3). Suppose 5*u - 4*t + v*t = 210, -2*t - 86 = -2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1152 and 143\/11424.\nAnswer: 137088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 4) + (-35)\/25*-5. Solve -3*v + 35 = -c + 5*c, 4*c - 5 = b*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*z + 145*z - 66 = 0. Let n(d) = -d**3 - 5*d**2. Let t(q) = q**3 + 11*q**2. What is z*t(j) - 5*n(j)?\nAnswer: 2*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 - f**4\/3 - 9*f**3 - 260*f**2. Calculate q(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2) + -9 + (-9 - 230). Let v = -240 - c. Solve 3*k - v*k = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45421270 (base 8) in base 16?\nAnswer: 9622b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 426\/13 at most as big as -41\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -352.7884219 to 0 decimal places.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*i - 314*i + 4 = 2*g, 5*i - 4*g = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let p(a) = a - 7. Let z be p(6). Put b, 0, z in descending order.\nAnswer: b, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -307457\/17910 - -1\/8955. Calculate the common denominator of 109\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4891\/2 + -2400. Calculate the common denominator of 1\/1302 and k.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2489 - 743 = 9*c. List the prime factors of c.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 14) in base 10?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {q: 14, c: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11233111 (base 4) to base 13\nAnswer: a915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-92 - -106)*(15\/10)\/(3\/40). Solve -19*j = -166 + l for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -493*g + 62564. Give k(127).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28634112 divided by -6\nAnswer: 4772352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -42\/28437839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-7 - -17) - ((-5 - -4) + -25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.28 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1846 divided by 6?\nAnswer: -923\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1 - 10*d**2 - 8*d + 39*d**2 + 11*d. Is 18 a factor of v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**3\/3 - v. Suppose -t - 5*g = -6*t + 50, -t = -5*g - 30. Let h(n) = -5*n**2 + t*n**2 - 3*n**2 + 0*n**2. What is r(h(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756834822?\nAnswer: 2, 3, 293, 143503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2))**(5\/4) assuming h is positive.\nAnswer: h**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/31)\/a)\/(a*a\/(a\/(a**(-42)\/a)))*a\/a**(-28\/5)*a**(-43) assuming a is positive.\nAnswer: a**(883\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13804, 13826, 13874, 13948?\nAnswer: 14048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -849388*j**3 + 2*j**2 - 22*j - 442?\nAnswer: -5096328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11911 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(171) - -1*(sqrt(171) + sqrt(171) + 0 + sqrt(171))) + 0)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*z - 247. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j - 2*j)*(-2 - 2 + 3) + 4*j + j - 3*j + (4 - 4 - 1)*(j + 3*j - 6*j) + 0 + 0 + 2*j - 4*j + 0*j + 5*j + 5 - j - 5 to the form r*j + s and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 4)*1 - -34. Suppose 9*m = 10*m - f. Find the second derivative of -36*p**2 + 59*p**2 + 14*p - m*p**2 wrt p.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.6, 1\/10093?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.94 - -6.14. Which is the closest to d? (a) 8\/17 (b) -0.5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -37. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10 + 8 = 0, 3*d = -2*h. Solve m + 10 = 3*c, -d*m - 20 = 2*c - 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -z + 6*z + 41, 4*r + 20 = -4*z. Let k = z - -5. What is the units digit of 0 - 1*(k - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -2*s**5\/5 - 13*s**4\/2 - 20*s**3 + 4*s**2 + 80*s + 94. Suppose q(g) = 0. Calculate g.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 276*x**2 - 439*x - 9110. What is u(90)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 962894199*v**2 + 1064865377*v?\nAnswer: 1925788398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h - 27. Let m(o) = -2*o**2 + 5*o. Let r be m(-6). Let v = -25 - r. What is the highest common divisor of v and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/285524155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:45 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-6)\/(-11)) - (-14)\/21. Let l be 1*x*14\/(-21). Find the third derivative of -65*h**2 - 52*h**3 + 61*h**l + 2*h - 4*h wrt h.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3401103456 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, e: 2, v: 2, y: 3, p: 2}. What is prob of picking 1 v and 2 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 2*z**2 + z**2)*(-5 + 4 + z - 1) - 4*z**3 - 3*z**3 + 4*z**3.\nAnswer: -4*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 57645 = -4*m, -6*m - 14411 = -7*m + t. What is the highest common divisor of 55 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let f = 1 - v. Let o(d) be the first derivative of d**4\/4 + d**2\/2 - 5*d - 9. Determine o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81 + (16 - (61 - -12))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*x - x + 6 = 0, 4*x - 8 = -4*l. Suppose 4*u - 4*i + 9*i = 644, l*u - 616 = 2*i. What is the highest common factor of 36 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(-13)\/(z**(-2\/3)\/z*z*z\/z**(-1\/3)*z) assuming z is positive.\nAnswer: z**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 12 = 2*d, -4*q - 3*d - 5 - 17 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = c - 2 - 1, -5*l + 11 = c. Suppose l*y = -3*a + 259, 0 = y + a - 25 - 103. Suppose p + 2 = 0, -4*n + 29 + y = p. 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: In base 14, what is 2 - -598?\nAnswer: 59a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h - 9. Suppose g + 2*u = -g - 12, -u + 1 = 0. Is y(g) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11485 = -13*t + 18*t. List the prime factors of t.\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2041737 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 4*s + 1. Let v be r(3). Let f = v + -17. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2\/2 - 17*p - 7187. Let i(c) = c + 2. Let l be i(6). What is g(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35581 and 283153?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1494283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4380 + 4357. Let n(u) = -3*u - 43. What is n(g)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 213788?\nAnswer: 213788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0.2, -0.4 in increasing order.\nAnswer: -2, -0.4, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 980 = 18*v + 746. Let p = 79 + -31. Suppose -o = -5*t + 23 + 13, 4*t + 4*o - p = 0. Calculate the remainder when v is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/30 + -2 - 335\/(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2 + 669*t. Let l(k) = -879*k. What is l(p(j))?\nAnswer: 5274*j**2 - 588051*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n - 3*n + 165 - 324 + 159. Let v(y) = -3*y**2 + 12. Let i(k) = -k**2 + 1. Let x(z) = -12*i(z) + v(z). Determine g(x(f)).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.28146cm in millimeters?\nAnswer: 662.8146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.21 - -0.71. Let n = -11.7 - -13.7. What is the fourth smallest value in -0.5, q, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*n + 762 = -36*x + 29*x - 135*n, 5*n = -24*x - 2660 for x.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 + 506 = 20*t - 2*t. Put -12, 8, t, 4, -4 in ascending order.\nAnswer: -12, -4, t, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 16144*y - 16140.\nAnswer: -4*(y - 4035)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23689948817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 + 180\/42. Is 0 - 5900\/(-4) - p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 2475847*j.\nAnswer: j*(j - 2475847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12779.3 micrometers to meters.\nAnswer: 0.0127793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 425*s - 428*s + 12. Sort 1, s, 21, -1 in descending order.\nAnswer: 21, s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 14*q - 35. Let i be g(6). Solve -3*y + i = 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 294, -3, 8, -1.\nAnswer: -3, -1, 0, 8, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53746674?\nAnswer: 2, 3, 479, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 12. Let a be o(-16). Suppose 2*k - a*u = 24, 5*u = 5*k - 13 - 22. Find the third derivative of 4*m**3 - 2*m**2 + 2*m**2 + 11*m**k wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 394445273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 293\/218 (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -14) + 1 + -17 + 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, 298 in increasing order.\nAnswer: -23, 5, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 66. Let u(p) = -p + 16. Let i(m) = -4*l(m) - 18*u(m). Let f be i(-15). Suppose 0 = -w + 3*w + f, -4*t = -2*w - 5602. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 1\/7 (c) -5 (d) 1 (e) -0.1 (f) 35.2 (g) -2\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 30*x**2 + 4*x - 8. Let f be l(-4). Let m(w) = f - 456 + 3*w**2. Let d(u) = 29*u**2. What is m(d(v))?\nAnswer: 2523*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 13*y**2 + 2*y - 13. Suppose 2*q + 6 = -x + 31, x - 5*q = -17. Let i(r) = -r**3 - 6*r**2 + r - 6. Give x*i(d) - 6*u(d).\nAnswer: -d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 2\/7, -309, 5, 4\/7, 1.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 13. Let x be c(-10). Let j be (-3)\/(x\/6 - -2). Is (-31)\/j*(-4)\/(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-4)\/(-12) + 3. Solve 0 = -4*s + 6 - p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164222459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 2*m + 15. Suppose f - a - 5 = 0, -2*f - 3*a + 8 + 2 = 0. Give v(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 227 = 82 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34558, -34538, -34504, -34456?\nAnswer: -34394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 3*q**2 + 10. Let l(v) = -6*v**3 - 5*v**2 - 21. Calculate -3*l(g) - 5*m(g).\nAnswer: 3*g**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5545 and 472552663.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Suppose 6 + y = 4*a. Let c(l) = l**3 - 10*l**2 - 11*l + 5. Let m be c(11). Solve -m*s + a*g - 7 = -26, -17 = -s + 5*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -1. Let u(r) = 2*r**2 - 10*r - 14. Let i be u(6). Which is the third biggest value? (a) -1\/4 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 40. Let z = j + 28.3. Round z to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 - 4203*j + 8. What is w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 12*y + 17. Give b(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 929367 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/3 - v**2 + 5*v. Suppose -2*n + 4*n - 3*y + 16 = 0, -3*n = -y + 10. List the prime factors of j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.55 plus 5781.3927?\nAnswer: 5931.9427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 1 + 1 - 4*p + 4*p + 6*p + 0*p + 0*p - 2*p + (-1 + 2*p + 1)*(5 - 3 + 0))*(-2 + 2 - 5*p**2).\nAnswer: -45*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 + 31. Let r(l) = 6*l**3 + 94. What is 11*k(h) - 4*r(h)?\nAnswer: -2*h**3 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -142*h**5\/5 - 506*h - 417. Differentiate u(j) with respect to j.\nAnswer: -568*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*x - 25, 3*v - 8*x + 5*x = -21. Let k be v\/8 - 5\/(-4). Suppose p = -3*l + 13 - 10, 2*p - 2*l - 6 = 0. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(1584) - (-3*sqrt(1584)*1)**2) + -2.\nAnswer: -14259 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -1 - ((-2 - -17) + -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -61*t**7\/210 - 22*t**3\/3 + 57*t**2. Find the first derivative of u(f) wrt f.\nAnswer: -244*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 15) to base 2\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5617 and 182983?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:07 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1491023*i. Let u be g(-1). Let q = 3291023 + u. Round q to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34570441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5637492277.25 and 0.5?\nAnswer: 5637492276.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*v - 228 = 100*v - 629 - 207 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 2*z**2 - 418 - 818 - 664 to h + j*z + v*z**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1261844, 48, 3 in increasing order.\nAnswer: -1261844, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}